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Heisenberg</image:title><image:caption>Zentralbild
Prof. Dr. phil Werner Kar. Heisenberg,
Physiker, geboren 5.12.1901 in Würzburg, Professor für theoretische Physik, Direktor des Max-Planck-Instituts für Physik in Göttingen, Nobelpreis für Physik 1932 (Aufnahme 1933)
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the TRAPPIST-1 planets</image:title><image:caption>A size comparison of the planets of the TRAPPIST-1 system, lined up in order of increasing distance from their host star. The planetary surfaces are portrayed with an artist’s impression of their potential surface features, including water, ice, and atmospheres.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2019/01/Trappist-1-1.jpg</image:loc><image:title>1_b</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2019/01/Trappist-1-0.jpg</image:loc><image:title>Artist’s impressions of the TRAPPIST-1 planetary system</image:title><image:caption>This artist’s impression compares the seven planets orbiting the ultra-cool red dwarf star TRAPPIST-1 to the Earth at the same scale. New observations, when combined with very sophisticated analysis, have now yielded good estimates of the densities of all seven of the Earth-sized planets and suggest that they are rich in volatile materials, probably water. 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Section]</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/11/platoaristotlepythagoraseuclid.jpg</image:loc><image:title>platoaristotlepythagoraseuclid</image:title></image:image><lastmod>2016-12-01T08:29:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2016/11/24/taylor-expansions-from-india/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/11/tm-cover-detail-thumb.jpg</image:loc><image:title>tm-cover-detail-thumb</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/11/gregory-leibniz-table.jpg</image:loc><image:title>gregory-leibniz-table</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/11/awesums-taylor-sine.jpg</image:loc><image:title>awesums-taylor-sine</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/11/awesums-taylor-sine-4approxs.jpg</image:loc><image:title>awesums-taylor-sine-4approxs</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/11/taylor-brook-portrait.jpg</image:loc><image:title>NPG 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tent/uploads/2016/02/franc-carreau-02.jpg</image:loc><image:title>Franc-Carreau-02</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/02/franc-carreau-01.jpg</image:loc><image:title>Franc-Carreau-01</image:title></image:image><lastmod>2016-02-11T09:07:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2016/02/04/the-mathematics-of-voting/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/voting-table-4.png</image:loc><image:title>Voting-Table-4</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/voting-table-3.png</image:loc><image:title>Voting-Table-3</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/voting-table-2.png</image:loc><image:title>Voting-Table-2</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/voting-table-1.png</image:loc><image:title>Voting-Table-1</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/condorcet.png</image:loc><image:title>Condorcet</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/rock-paper-scissors.png</image:loc><image:title>Rock-Paper-Scissors</image:title></image:image><lastmod>2016-02-04T10:14:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2016/01/28/prime-number-record-smashed-again/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/primes-from-1975.gif</image:loc><image:title>Primes-From-1975</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/llt-program.png</image:loc><image:title>LLT-Program</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/llt-table.png</image:loc><image:title>LLT-Table</image:title></image:image><lastmod>2016-01-28T10:27:47+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2016/01/21/entropy-piano-tuning/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/ept-inharmonicity.png</image:loc><image:title>EPT-Inharmonicity</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/ept-stretchcurve.jpg</image:loc><image:title>EPT-StretchCurve</image:title></image:image><lastmod>2016-01-21T17:15:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2016/01/14/twin-peaks-entropy/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/twinpeaksentropy.jpg</image:loc><image:title>TwinPeaksEntropy</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/twingaussianpeaks.jpg</image:loc><image:title>TwinGaussianPeaks</image:title></image:image><lastmod>2016-01-15T12:27:40+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2016/01/07/richardsons-fantastic-forecast-factory/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/rfff-fig-10a.jpg</image:loc><image:title>RFFF-Fig-10A</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/rfff-fig-05.jpg</image:loc><image:title>RFFF-Fig-05</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2016/01/rfff-low-res.jpeg</image:loc><image:title>rfff-LOW-RES</image:title></image:image><lastmod>2016-01-07T10:16:57+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/12/31/squaring-the-circular-functions/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/scf-snfunctions.jpg</image:loc><image:title>SCF-SnFunctions</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/scf-sinfracpowers.jpg</image:loc><image:title>SCF-SinFracPowers</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/scf-fourier-sums.jpg</image:loc><image:title>SCF-Fourier-Sums</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/scf-tanhfunctions.jpg</image:loc><image:title>SCF-TanhFunctions</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/scf-step-square-tanh-sin.jpg</image:loc><image:title>SCF-Step-Square-Tanh-Sin</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/wild-functions-01.jpg</image:loc><image:title>Wild-Functions-01</image:title></image:image><lastmod>2015-12-31T09:53:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/12/24/factorial-52-a-stirling-problem/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/card-arc.jpg</image:loc><image:title>Card-Arc</image:title></image:image><lastmod>2015-12-24T10:20:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/11/12/numbering-the-family-tree/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/ahnentafel-numbers.jpg</image:loc><image:title>Ahnentafel-Numbers</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/ahnentafel-report.jpg</image:loc><image:title>Ahnentafel-Report</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/ahnentafel-chart.jpg</image:loc><image:title>Ahnentafel-Chart</image:title></image:image><lastmod>2015-12-17T10:51:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/12/17/how-many-christmas-gifts/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/bauble-triangles.jpg</image:loc><image:title>Bauble-Triangles</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/bauble-tetrahedron.jpg</image:loc><image:title>Bauble-Tetrahedron</image:title></image:image><lastmod>2015-12-17T10:49:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/12/10/the-ping-pong-pendulum/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/ppp-dampedsoln.jpg</image:loc><image:title>PPP-DampedSoln</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/ppp-vpotential.jpg</image:loc><image:title>PPP-Vpotential</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/ppp-symbols.jpg</image:loc><image:title>PPP-Symbols</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/ppp-arcs.jpg</image:loc><image:title>PPP-Arcs</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/pingpongpendulum.jpg</image:loc><image:title>PingPongPendulum</image:title></image:image><lastmod>2015-12-14T11:57:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/12/03/the-flight-of-a-golf-ball/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/drag-crisis-04.jpg</image:loc><image:title>Drag-crisis-04</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/drag-crisis-03.jpg</image:loc><image:title>Drag-crisis-03</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/drag-crisis-01.jpg</image:loc><image:title>Drag-crisis-01</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/12/drag-crisis-02.jpg</image:loc><image:title>Drag-Crisis-02</image:title></image:image><lastmod>2015-12-03T14:22:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/11/26/lifes-a-drag-crisis/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/drag-crisis-04.jpg</image:loc><image:title>Drag-Crisis-04</image:title><image:caption>Figure from NASA: 
https://www.grc.nasa.gov/www/K-12/airplane/dragsphere.html</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/drag-crisis-01.jpg</image:loc><image:title>Drag-Crisis-01</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/ludwig-prandtl.jpg</image:loc><image:title>Ludwig-Prandtl</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/gustave-eiffel-1888.jpg</image:loc><image:title>Gustave-Eiffel-1888</image:title></image:image><lastmod>2015-11-26T12:04:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/11/19/mathematics-solving-crimes/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/holmes-watson-strandmag.jpg</image:loc><image:title>Book Illustration Depicting Sherlock Holmes and Dr. Watson in a Train Cabin</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/fornsicmaths-craigadam.jpg</image:loc><image:title>FornsicMaths-CraigAdam</image:title></image:image><lastmod>2015-11-19T14:21:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/11/05/melencolia-an-enigma-for-half-a-millennium/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/melancholia-polyhedron-small.jpg</image:loc><image:title>Melencolia I (B. 74; M., HOLL. 75)*engraving *24 x 18.8 cm*1514</image:title><image:caption>Melencolia I (B. 74; M., HOLL. 75)
*engraving 
*24 x 18.8 cm
*1514</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/melancholia-rainbow.jpg</image:loc><image:title>Melancholia-Rainbow</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/melancholia-magic-square.jpg</image:loc><image:title>Melencolia I (B. 74; M., HOLL. 75)*engraving *24 x 18.8 cm*1514</image:title><image:caption>Melencolia I (B. 74; M., HOLL. 75)
*engraving 
*24 x 18.8 cm
*1514</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/11/melancholia-i-small.jpg</image:loc><image:title>Melancholia-I-Small</image:title></image:image><lastmod>2015-11-05T09:47:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/10/29/mowing-the-lawn-in-spirals/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/spirals-two.jpg</image:loc><image:title>Spirals-Two</image:title><image:caption>Left: Archimedean spiral. Right: Involute of a circle.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/nautiluscutawaylogarithmicspiral.jpg</image:loc><image:title>NautilusCutawayLogarithmicSpiral</image:title><image:caption>Nautilus shell with the form of a logarithmic spiral
[image from the user Chris 73, freely available from Wikimedia Commons].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/spirals-three.jpg</image:loc><image:title>Spirals-Three</image:title><image:caption>Left: Archimedean spiral. Centre: Fermat spiral. Right: Hyperbolic spiral.</image:caption></image:image><lastmod>2015-10-29T11:21:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/10/22/a-few-wild-functions/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/wild-functions-06.jpg</image:loc><image:title>Wild-Functions-06</image:title><image:caption>The function {y=x^2\sin 1/x^2} looks fine near {x=0}. The derivative is unbounded near {x=0}, yet {y^\prime(0)=0}.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/wild-functions-05.jpg</image:loc><image:title>Wild-Functions-05</image:title><image:caption>The function {y=x^2\sin 1/x} looks fine near {x=0}.
The derivative oscillates wildly but does not blows up.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/wild-functions-04.jpg</image:loc><image:title>Wild-Functions-04</image:title><image:caption>The function {y=x\sin 1/x} looks fine near {x=0}, but the derivative blows up.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/wild-functions-03.jpg</image:loc><image:title>Wild-Functions-03</image:title><image:caption>The function {y=\sin 1/x} gets wild near {x=0}.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/wild-functions-02.jpg</image:loc><image:title>Wild-Functions-02</image:title><image:caption>The function {y=\sin x^2}, a so-called chirp function.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/wild-functions-01.jpg</image:loc><image:title>Wild-Functions-01</image:title><image:caption>The sine function, the essence of good behaviour.</image:caption></image:image><lastmod>2015-10-22T06:12:44+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/10/15/its-a-small-networked-world/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/twitter-network-6.png</image:loc><image:title>Twitter-Network-6</image:title><image:caption>Detail of a Twitter communications network. 
Image from: https://dhs.stanford.edu/gephi-workshop/twitter-network-gallery/
</image:caption></image:image><lastmod>2015-10-15T06:35:40+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/10/08/which-way-did-the-bicycle-go/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/bicycle-wiggles.jpg</image:loc><image:title>Bicycle-Wiggles</image:title><image:caption>Left: Tracks of front wheel (red) and back wheel (blue) for bicycle on a circular track. Centre: circular tracks with smaller radii. The area between the circles
is still {\pi a^2}. Right: Schematic diagram of general case, where both wheels execute one full closed loop.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/bicycle-tractrix.jpg</image:loc><image:title>Bicycle-Tractrix</image:title><image:caption>As front wheel moves along the positive {x}-axis the back wheel, initially at {(0,a)}, follows a tractrix curve.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/bicycle-02-flip.jpg</image:loc><image:title>Bicycle-02-FLIP</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/bicycle-02.jpg</image:loc><image:title>Bicycle-02</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/10/bicycle-01.jpg</image:loc><image:title>Bicycle-01</image:title><image:caption>Tracks of the front wheel (solid red) and back wheel (dashed blue) of bicycle. The front wheel follows a simple sinusoidal path. The back track soon becomes sinusoidal with smaller amplitude.</image:caption></image:image><lastmod>2015-10-08T07:52:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/10/01/new-tricks-no-clicks/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/compact-disc.png</image:loc><image:title>Compact-Disc</image:title><image:caption>The readable surface of a Compact Disc has a spiral track over 5 km in length.</image:caption></image:image><lastmod>2015-10-01T07:37:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/09/24/hammings-smart-error-correcting-codes/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/hamming-7-4-ab.jpg</image:loc><image:title>Hamming-7-4-AB</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/richard-hamming.jpg</image:loc><image:title>Richard-Hamming</image:title><image:caption>Richard Hamming (1915 – 1998)</image:caption></image:image><lastmod>2015-09-24T10:38:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/09/17/the-ubiquitous-cycloid/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/kimbell-cycloid-arch.jpg</image:loc><image:title>Kimbell-Cycloid-Arch</image:title><image:caption>Cycloidal arch at the Kimbell Art Museum, Forth Worth, TX.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/cycloid-bicycle.jpg</image:loc><image:title>Cycloid-Bicycle</image:title><image:caption>Timelapse image of bike with two lights on the wheel-rims. Photo from Webpage of Alexandre Wagemakers.
</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/cycloids-3.jpg</image:loc><image:title>Cycloids-3</image:title><image:caption>Three trochoids: a common cycloid (black), curtate cycloid (blue dashed) and prolate cycloid (red dotted).</image:caption></image:image><lastmod>2015-09-17T09:37:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/09/10/holbeins-anamorphic-skull/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/garmin-anamorph.jpg</image:loc><image:title>Garmin-Anamorph</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/ambassadors-holbein-skull.jpg</image:loc><image:title>Ambassadors-Holbein-Skull</image:title><image:caption>A higher-resolution and more accurate depiction of the anamorphic skull in The Ambassadors.
https://commons.wikimedia.org/wiki/File:Holbein_Skull.jpg</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/ambassadors-detail04-clip.jpg</image:loc><image:title>Ambassadors-Detail04-clip</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/ambassadors-detail03-clip.jpg</image:loc><image:title>Ambassadors-Detail03-clip</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/ambassadors-detail03.jpg</image:loc><image:title>Ambassadors-Detail03</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/ambassadors-detail02.jpg</image:loc><image:title>Ambassadors-Detail02</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/ambassadors-detail01.jpg</image:loc><image:title>Ambassadors-Detail01</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/ambassadors-holbein-midres.jpg</image:loc><image:title>Ambassadors-Holbein-MidRes</image:title><image:caption>Double Portrait of Jean de Dinteville and Georges de Selve ("The Ambassadors"), 
Hans Holbein the Younger, 1533. Oil and tempera on oak, National Gallery, London</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/09/ambassadors-holbein-lores.jpg</image:loc><image:title>Ambassadors-Holbein-LoRes</image:title><image:caption>Double Portrait of Jean de Dinteville and Georges de Selve ("The Ambassadors"), 
Hans Holbein the Younger, 1533. Oil and tempera on oak, National Gallery, London</image:caption></image:image><lastmod>2015-09-11T14:05:04+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/09/03/james-joseph-sylvester/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/sylvester-02.jpg</image:loc><image:title>Sylvester-02</image:title><image:caption>J J Sylvester in later life.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/sylvester-01.jpg</image:loc><image:title>Sylvester-01</image:title><image:caption>J. J. Sylvester as a graduate of Trinity College Dublin.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/sylvester-2panels.jpg</image:loc><image:title>Sylvester-2Panels</image:title><image:caption>James Joseph Sylvester (1914-1897). Left: as a TCD graduate. Right: in later life.</image:caption></image:image><lastmod>2015-09-03T07:18:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/08/27/thomas-harriot-mathematician-astronomer-and-navigator/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/no-smoking-sign.jpg</image:loc><image:title>No-Smoking-Sign</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/raleigh-harriot.jpg</image:loc><image:title>Raleigh-Harriot</image:title><image:caption>Thomas Harriot (1560 - 1621)</image:caption></image:image><lastmod>2015-08-27T10:27:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/08/20/the-great-american-eclipse/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/usno-2017-eclipse-map.jpg</image:loc><image:title>USNO-2017-Eclipse-Map</image:title><image:caption>Path of the 2017 Total Solar Eclipse. Image: USNO
[http://aa.usno.navy.mil/data/docs/Eclipse2017.php]</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/tse2017_stereographic-trim1.jpg</image:loc><image:title>TSE2017_stereographic-TRIM</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/tse2017_stereographic-trim.jpg</image:loc><image:title>TSE2017_stereographic-TRIM</image:title><image:caption>Path of totality of solar eclipse, Monday 21 August 2017
[Image downloaded from 
http://eclipse-maps.com/Eclipse-Maps/Gallery/Pages/Total_solar_eclipse_of_2017_August_21_files/Media/TSE2017_stereographic/TSE2017_stereographic.jpg ]</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/304_lunar_transit_14-00_ut_0-trim.jpg</image:loc><image:title>304_lunar_transit_14-00_ut_0-TRIM</image:title><image:caption>Moon between NASA’s Solar Dynamics Observatory and the Sun, 
giving a partial solar eclipse from space on Jan. 30, 2014.  Image NASA.</image:caption></image:image><lastmod>2015-08-20T07:39:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/08/13/buffon-was-no-buffoon/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/buffon-table.jpg</image:loc><image:title>Buffon-Table</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/buffon-three-panels.jpeg</image:loc><image:title>Buffon-Three-Panels</image:title><image:caption>Simulated Monte Carlo trials of th
e Buffon needle experiment with (from left to right) $latex {n\in\{100,1000,10000\}}&amp;fg=000000$.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/buffon-01.jpg</image:loc><image:title>Buffon-01</image:title><image:caption>{In the $latex {(\theta,y)}&amp;fg=000000$-plane, 
the shaded region corresponds to crossings of the needle.</image:caption></image:image><lastmod>2015-08-14T13:06:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/08/04/the-bridges-of-paris/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/amsterdam-map-1835.jpg</image:loc><image:title>Amsterdam-Map-1835</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/stpetersburg.jpg</image:loc><image:title>StPetersburg</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/bridges-of-paris-00.jpg</image:loc><image:title>Bridges-of-Paris-00</image:title><image:caption>Image from Wikimedia Commons.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/08/bridges-of-paris-01.jpg</image:loc><image:title>Bridges-of-Paris-01</image:title></image:image><lastmod>2015-08-06T11:11:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/07/28/who-needs-eircode/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/osi-homepage.jpg</image:loc><image:title>OSI-Homepage</image:title><image:caption>OSi Home page with link to interactive map.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/hex-table.jpg</image:loc><image:title>Hex-Table</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/osi-map.jpg</image:loc><image:title>OSI-MAP</image:title><image:caption>OSi Mapviewer. XY coordinates indicated at bottom left.</image:caption></image:image><lastmod>2015-07-30T13:26:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/07/23/bent-coins-what-are-the-odds/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/bent-coin-2.jpg</image:loc><image:title>Bent-Coin-2</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/bent-coin.jpg</image:loc><image:title>Bent-Coin</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/posterior.jpg</image:loc><image:title>Posterior</image:title><image:caption>The posterior probability P(p|h) for h=20 and n=50.</image:caption></image:image><lastmod>2015-07-23T12:20:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/07/16/rt60-and-acoustic-excellence/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/sabine.jpg</image:loc><image:title>Sabine</image:title><image:caption>Wallace Clement Sabine (1868 – 1919) [Image: Wikimedia Commons]</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/boston-symphony-hall-lores.jpg</image:loc><image:title>Boston-Symphony-Hall-LORES</image:title><image:caption>Boston Symphony Hall. Image downloaded from website:
http://www.gourmetcaterers.com/exclusive-venues/symphony-hall</image:caption></image:image><lastmod>2015-07-16T09:35:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/07/09/fun-and-games-on-a-honeycombed-rhomboard/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/hex-boards-doolittle.jpg</image:loc><image:title>Hex-Boards-Doolittle</image:title><image:caption>Click for larger version.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/pex-board.jpg</image:loc><image:title>Pex-Board</image:title><image:caption>11 x 11 Pex board. Image from  http://www.iggamecenter.com/</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/piet-hein-john-nash.jpg</image:loc><image:title>Piet-Hein-John-Nash</image:title><image:caption>Left: Piet Hein (1905-1996). Right: John Nash (1928-2015).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/07/hex-board.jpg</image:loc><image:title>Hex-Board</image:title><image:caption>11 x 11 Hex Board. Image from  http://www.iggamecenter.com/</image:caption></image:image><lastmod>2015-07-09T06:26:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/07/02/plutos-unruly-family/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/plutoandmoons.jpg</image:loc><image:title>PlutoAndMoons</image:title><image:caption>Four tiny moons (on left) orbit the binary system of Pluto (top right) and Charon.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/pluto-new-horizons.jpg</image:loc><image:title>Pluto-New-Horizons</image:title><image:caption>Artist's impression of the New Horizons probe at Pluto flyby [NASA image].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/pluto-new-horizons-2.gif</image:loc><image:title>Pluto-New-Horizons-2</image:title><image:caption>New Horizons hopes to explore the Kuiper Belt beyond Pluto [Image NASA]</image:caption></image:image><lastmod>2015-07-02T06:48:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/06/18/emmy-noethers-beautiful-theorem/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/noether-top.jpg</image:loc><image:title>Noether-Top</image:title><image:caption>Emmy Noether, 1882 - 1935</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/hypatia.jpg</image:loc><image:title>Hypatia</image:title><image:caption>Death of the philosopher Hypatia, by Louis Figuier
[Wikimedia Commons].</image:caption></image:image><lastmod>2015-06-26T09:44:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/06/25/increasingly-abstract-algebra/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/zariski-grothendieck.jpg</image:loc><image:title>Zariski-Grothendieck</image:title><image:caption>Left: Oskar Zariski. Right: Alexander Grothendieck</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/galois-lie-noether.jpg</image:loc><image:title>Galois-Lie-Noether</image:title><image:caption>Evariste Galois, Sophus Lie and Emmy Noether.</image:caption></image:image><lastmod>2015-06-25T07:30:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/06/11/game-theory-nash-equilibrium/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/game-theory.jpg</image:loc><image:title>Game-Theory</image:title><image:caption>Theory of games and economic behavior.
Centre: John von Neumann. Right: Oskar Morgenstern.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/acme-bril.jpg</image:loc><image:title>Acme-Bril</image:title></image:image><lastmod>2015-06-11T14:01:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/06/04/the-tragic-demise-of-a-beautiful-mind/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/john-nash.jpeg</image:loc><image:title>John-Nash</image:title><image:caption>John Forbes Nash. 
Born: 13 June 1928.
Died: 23 May 2015</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/06/beautiful-mind-poster.jpg</image:loc><image:title>Beautiful-Mind-Poster</image:title><image:caption>Russell Crowe as John Nash in the movie A Beautiful Mind.</image:caption></image:image><lastmod>2015-06-04T08:57:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/05/28/maps-on-the-web/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/05/wm-vs-merc-detail.jpg</image:loc><image:title>WM-vs-Merc-Detail</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/05/google-world-map.jpg</image:loc><image:title>Google-World-Map</image:title><image:caption>Web Mercator projection of the world [from \url{maps.google.com}].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/05/mercator-tissot.jpg</image:loc><image:title>Mercator-Tissot</image:title><image:caption>Mercator projection with Tissot‘s &lt;em&gt;indicatrices&lt;/em&gt; showing the areal distortion [Image: Wikimedia Commons. Author Stefan Kühn].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/05/wm-vs-mercator.jpg</image:loc><image:title>WM-vs-Mercator</image:title><image:caption>Example of Overlaying Ellipsoid Mercator (blue) and Web Mercator (red). [Image from National Geospatial Intelligence Agency Report, 2014]</image:caption></image:image><lastmod>2015-06-02T18:09:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/05/21/mercators-marvellous-map/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/05/mercator-norm-trans.jpg</image:loc><image:title>Mercator-Norm-Trans</image:title><image:caption>Left: Normal Mercator projection. Right: Transverse Mercator projection, tangent along Greenwich meridian and date line.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/05/mercator-projection-75deg.jpg</image:loc><image:title>Mercator-Projection-75deg</image:title><image:caption>Mercator projection of the Earth, truncated at 75 degrees North and South [Wikimedia Commons, author: Strebe].</image:caption></image:image><lastmod>2015-05-21T04:11:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/05/07/modelling-the-markets/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/dow-jones-2010-may-6.jpg</image:loc><image:title>Dow-Jones-2010-May-6</image:title><image:caption>Dow-Jones Industrial Aversge for 6 May 2010.
Graphic adapted from Sunday Times, 26 April, 2015.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/black-scholes-equation.jpg</image:loc><image:title>Black-Scholes-Equation</image:title></image:image><lastmod>2015-05-18T15:37:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/05/14/eccentric-pizza-slices/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/05/mass-logo.jpg</image:loc><image:title>MASS-logo</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/05/pizzaslices2.jpg</image:loc><image:title>PizzaSlices2</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/05/pizza-with-various-toppings.jpg</image:loc><image:title>Pizza-with-various-toppings</image:title><image:caption>A pizza with various toppings. Image: Pizza Masetti Craiova, Romania (Flickr) 
[CC BY 2.0 (http://creativecommons.org/licenses/by/2.0)], via Wikimedia Commons.</image:caption></image:image><lastmod>2015-05-14T07:24:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/04/30/brouwers-fixed-point-theorem/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/brouwer-poincare.jpg</image:loc><image:title>Brouwer-Poincare</image:title><image:caption>Left: Luitzen Brouwer. Right: Henri Poincare.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/climber-up-and-down.jpg</image:loc><image:title>Climber-Up-And-Down</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/climber-up-then-down.jpg</image:loc><image:title>Climber-Up-Then-Down</image:title></image:image><lastmod>2015-04-30T08:32:33+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/04/23/tap-tap-tap-the-cosine-button/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/coscoscos.jpg</image:loc><image:title>CosCosCos</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/cobweb.jpg</image:loc><image:title>CobWeb</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/cosdia.jpg</image:loc><image:title>CosDia</image:title></image:image><lastmod>2015-04-23T07:19:01+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/04/16/for-good-comms-leaky-cables-are-best/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/atlantic-telegraph-map.jpg</image:loc><image:title>Atlantic-Telegraph-Map</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/telegraph-equation-v.jpg</image:loc><image:title>Telegraph-Equation-V</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/valentia-telegraph-small.jpg</image:loc><image:title>Valentia-Telegraph-Small</image:title><image:caption>Memorial at Valentia Island to mark the laying of the transatlantic cable to Newfoundland. Made of Valentia slate and designed by local sculptor Alan Ryan Hall. Photograph:  John Flanagan (Wikimedia Commons).
</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/ss-great-eastern.jpg</image:loc><image:title>SS-Great-Eastern</image:title><image:caption>The SS Great Eastern, captained by Robert Halpin, that laid Transatlantic telegraph cables. Image from http://www.shipbucket.com</image:caption></image:image><lastmod>2015-04-16T03:41:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/04/09/the-hodograph/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/ekmanspiralequation.jpg</image:loc><image:title>EkmanSpiralEquation</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/thermalwind.jpg</image:loc><image:title>ThermalWind</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/hodograph-kepler.jpg</image:loc><image:title>Hodograph-Kepler</image:title><image:caption>Keplerian orbit of a planet and the velocity vectors in space (left), and hodograph of
the velocity vector in velocity space (right). [from Butikov, 2000].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/hodograph-ekman.jpg</image:loc><image:title>Hodograph-Ekman</image:title><image:caption>Ekman spiral of winds from zero at the Earth's surface to its “geostrophic” value, here (u, v) = (10, 0), at the top of the boundary layer.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/04/hodograph-noaa.jpg</image:loc><image:title>Hodograph-NOAA</image:title><image:caption>Hodograph plot of wind vectors at five heights in the troposphere. This indicates vertical wind shear and also horizontal temperature gradients.
Since the wind veers with height between V2 and V3, it is blowing warmer air north-eastwards to a colder region (image source: NOAA).</image:caption></image:image><lastmod>2015-04-09T07:36:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/04/02/mode-s-aircraft-data-improves-weather-forecasts/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/03/modes.jpg</image:loc><image:title>ModeS</image:title><image:caption> The air speed is A (blue),  the wind speed is W (black) and the ground speed is G (red). Since the ground speed is the resultant (vector sum) of air speed and wind speed, a simple vector subtraction gives the wind speed: W= G – A. </image:caption></image:image><lastmod>2015-04-02T07:18:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/03/26/golden-moments/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/03/goldenmoments1.jpg</image:loc><image:title>GoldenMoments</image:title><image:caption>The first two golden moments following midnight.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/03/goldenmoments.jpg</image:loc><image:title>GoldenMoments</image:title><image:caption>The first two golden moments after midnight. There are 44 such moments every day.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/03/goldenangle.jpg</image:loc><image:title>GoldenAngle</image:title></image:image><lastmod>2015-03-26T08:26:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/03/19/you-can-do-maths/</loc><lastmod>2015-03-19T08:12:23+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/03/12/a-king-of-infinite-space-euclid-i/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/03/euclid-two.jpg</image:loc><image:title>Euclid-TWO</image:title><image:caption>Euclid. Left: panel from the Series Famous Men by Justus of Ghent. Right: Statue in the Oxford University Museum of Natural History.</image:caption></image:image><lastmod>2015-03-12T13:56:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/03/05/cafe-mathematics-in-lvov/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/list-of-polish-mathematicians.jpg</image:loc><image:title>List-of-Polish-Mathematicians</image:title><image:caption>List of notable Polish mathematicians (from Wikipedia). Click for larger version.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/scottish-cafe-lvov-oldnew.jpg</image:loc><image:title>Scottish-Cafe-Lvov-OLDNEW</image:title><image:caption>The Scottish Café, Lvov in earlier times (left), now Hotel Atlas in Lviv.(image Wikimedia Commons).</image:caption></image:image><lastmod>2015-03-05T06:12:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/02/26/the-birth-of-functional-analysis/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/banach-photo.jpg</image:loc><image:title>Banach-Photo</image:title><image:caption>Stefan Banach (1892–1945)</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/banach-coinandstamp.jpg</image:loc><image:title>Banach-CoinAndStamp</image:title><image:caption>A coin and a postage stamp commemorating Stefan Banach.</image:caption></image:image><lastmod>2015-02-26T09:04:10+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/02/19/mgp-tracing-our-mathematical-ancestry/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/galileo-2-newton.jpg</image:loc><image:title>Galileo-2-Newton</image:title><image:caption>The connection between Galileo (1564-1642) and Newton (1642-1726) revealed by MGP.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/mgp-k33.png</image:loc><image:title>MGP-K33</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/mgp.jpg</image:loc><image:title>MGP</image:title></image:image><lastmod>2015-02-19T10:22:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/02/12/the-klein-4-group/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/klein-4-cayleytable.jpg</image:loc><image:title>Klein-4-CayleyTable</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/solitaire-positions.jpg</image:loc><image:title>Solitaire-Positions</image:title><image:caption>Initial position (left) and the five possible final positions (right).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/tone-row.jpg</image:loc><image:title>Tone-row</image:title><image:caption>A prime a tone row. Transformations are the retrograde, inversion and retrograde-inversion.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/rri-cover-four-2d.jpg</image:loc><image:title>RRI-Cover-Four-2D</image:title><image:caption>The four symmetric configurations of a book under 2D reflections and rotations.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/rri-cover-four-3d.jpg</image:loc><image:title>RRI-Cover-Four-3D</image:title><image:caption>The four symmetric configurations of a book under 3D rotations.}</image:caption></image:image><lastmod>2015-02-13T10:52:40+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/02/05/perelmans-theorem-who-wants-to-be-a-millionaire/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/poincare-chair.jpg</image:loc><image:title>Poincare-Chair</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/perelman-grigori.jpg</image:loc><image:title>Perelman-Grigori</image:title><image:caption>Grigori Perelman at Berkeley in 1993 [Image Wikimedia Commons]</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/02/simple-connectedness-1.jpg</image:loc><image:title>Simple-Connectedness-1</image:title><image:caption>A loop on a 2-sphere can be continuously shrunk to a point, and the surface is topologically equivalent to a 2-sphere. The Poincaré conjecture states that this is also true for a 3-dimensional manifolds [Image Wikimedia Commons].
</image:caption></image:image><lastmod>2015-02-06T14:57:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/01/29/the-steiner-minimal-tree/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/steinerboxes02.jpg</image:loc><image:title>SteinerBoxes02</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/steinerboxes01.jpg</image:loc><image:title>SteinerBoxes01</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/steiner-4point.jpg</image:loc><image:title>Steiner-4Point</image:title><image:caption>Solution of Steiner 4-point problem with soap film [from Courant and Robbins].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/steinerboxes03.jpg</image:loc><image:title>SteinerBoxes03</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/germanynorthmap.jpg</image:loc><image:title>GermanyNorthMap</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/fermattorricellipoint.jpg</image:loc><image:title>FermatTorricelliPoint</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/steiner-5point.jpg</image:loc><image:title>Steiner-5Point</image:title><image:caption>Solution of Steiner 5-point problem with soap film [from Courant and Robbins].</image:caption></image:image><lastmod>2015-01-29T16:30:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/01/22/plateaus-problem-and-double-bubbles/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/doublebubble02.jpg</image:loc><image:title>DoubleBubble02</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/catenoidhelicoid.jpg</image:loc><image:title>CatenoidHelicoid</image:title><image:caption>Catenoid (left) and helicoid (right)</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/doublebubble01.jpg</image:loc><image:title>DoubleBubble01</image:title><image:caption>Computer-generated double bubble</image:caption></image:image><lastmod>2015-01-22T08:41:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/01/15/barcodes-and-qr-codes-zebra-stripes-and-leopard-spots/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/qr-thatsmaths.png</image:loc><image:title>QR-thatsmaths</image:title><image:caption>QR Code linking to this blog.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/ean-13-barcode.jpg</image:loc><image:title>EAN-13-Barcode</image:title><image:caption>EAN-13 barcode.</image:caption></image:image><lastmod>2015-01-15T08:50:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/01/08/seifert-surfaces-for-knots-and-links/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/trefoils-03-04.jpg</image:loc><image:title>Trefoils-03-04</image:title><image:caption>Another view of the trefoil knot and its Seifert surface, drawn with SeifertView. Right: the Seifert surface with its boundary knot removed. It is like two disks joined by three bands, each with a half-twist.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/trefoils-01-02.jpg</image:loc><image:title>Trefoils-01-02</image:title><image:caption>The trefoil knot (left) is a simple overhand knot with the ends joined. There are left-handed and right-handed versions, which are not equivalent. Right: a Seifert surface is a smooth compact connected and non-self-intersecting surface whose only boundary component is the trefoil knot.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/links-three.jpg</image:loc><image:title>Links-Three</image:title><image:caption>Simple links. Left: the unlink. Centre: the Hopf link. Right: the Borromean rings.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/knots-three.jpg</image:loc><image:title>Knots-Three</image:title><image:caption>Simple knots. On the left is the unknot. Centre and right are a trefoil knot and its mirror image.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2015/01/knots-vanwijk.jpg</image:loc><image:title>Knots-VanWijk</image:title><image:caption>From left to right: Figure-of-8 knot 4_1, knot 6_3 , knot 7_1, and knot 8_5 [Fig from Van Wijk (2006)].</image:caption></image:image><lastmod>2015-01-08T09:06:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/01/01/the-mactutor-archive/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/mactutor-history-topics.jpg</image:loc><image:title>MacTutor-History-Topics</image:title><image:caption>Screen image of the MacTutor page listing History Topics.</image:caption></image:image><lastmod>2015-01-01T13:12:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2015/01/01/2014-in-review/</loc><lastmod>2015-01-01T13:09:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/12/25/fermats-christmas-theorem/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/girard-fermat.jpg</image:loc><image:title>Girard-Fermat</image:title><image:caption>Left: Albert Girard (1595-1632). Right: Pierre de Fermat (1601-1665)</image:caption></image:image><lastmod>2014-12-25T10:14:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/12/18/information-theory/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/claudeshannoninfo.jpg</image:loc><image:title>ClaudeShannon+INFO</image:title><image:caption>Left: An equation form Shannon (1948), the paper that launched Information Theory. 
Right: Claude Shannon (1916-2001) ©Alcatel-Lucent.
</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/inverseeightcurve1.jpg</image:loc><image:title>InverseEightCurve</image:title></image:image><lastmod>2014-12-18T09:07:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/12/11/new-curves-for-old-inversion/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/riemann-sphere-1.jpg</image:loc><image:title>Riemann-sphere-1</image:title><image:caption>Stereographic mapping of the plane onto the Riemann sphere. Image Jean-Christophe Benoist, Wikipedia.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/hyplim.jpg</image:loc><image:title>HypLim</image:title><image:caption>Hyperbola {x^2-y^2=1} and its inverse {({x^\prime}^2+{y^\prime}^2)^2 = {x^\prime}^2-{y^\prime}^2}, the lemniscate of Bernoulli.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/inverseconics.jpg</image:loc><image:title>InverseConics</image:title><image:caption>Conic sections (blue curves) and their inverses wrt the focus (green curves). Left: {e1}, hyperbola. The inverse curves are limaçons. For the parabola the inverse is a cardioid.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/inverseeightcurve.jpg</image:loc><image:title>InverseEightCurve</image:title><image:caption>{Lemniscate centred at {(2,0 )} (blue) and its inverse (green) wrt the unit circle centred at the origin.</image:caption></image:image><lastmod>2014-12-11T07:43:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/12/04/the-year-of-george-boole/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/george-boole-small.jpg</image:loc><image:title>George-Boole-Small</image:title><image:caption>George Boole (1815-1864).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/12/boole-year-ucc-small.jpg</image:loc><image:title>Boole-Year-UCC-Small</image:title></image:image><lastmod>2014-12-04T08:49:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/11/27/falling-bodies-2-philae/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/11/comet-67p-11aug2014.jpg</image:loc><image:title>Comet-67P-11Aug2014</image:title><image:caption>Comet 67P/Churyumov-Gerasimenko on 11 August 2014. The landing
site is on the smaller knob, near the top of the image. Photo copyright ESA.</image:caption></image:image><lastmod>2014-12-01T13:23:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/11/13/falling-bodies-1/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/11/galileo-and-tower.jpg</image:loc><image:title>Galileo-and-Tower</image:title><image:caption>Left: Galileo. Right: The Leaning Tower of Pisa</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/11/aristotle-galileo.jpg</image:loc><image:title>Aristotle-Galileo</image:title><image:caption>Aristotle and Galileo.</image:caption></image:image><lastmod>2014-11-27T09:04:50+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/11/20/earths-shape-and-spin-wont-make-you-thin/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/11/gravity-ellipsoids.jpg</image:loc><image:title>Gravity-Ellipsoids</image:title><image:caption>Ellipsoidal models of the Cassinis (left) and of Newton and Huygens (right).
128 All angles shown are equal, but they are not geocentric
129 [image from \url{http://www.ngs.noaa.gov/PUBS_LIB/Geodesy4Layman/TR80003A.HTM\#ZZ4}].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/11/french-geodetic-mission-1.jpg</image:loc><image:title>French-Geodetic-Mission-1</image:title><image:caption>Finnish postage stamp featuring an image of Maupertuis, issued to commemorate
153 the 250th anniversary of the French Geodetic Mission to Lapland.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/11/gravity-orange-lemon-small.jpg</image:loc><image:title>Gravity-Orange-Lemon-Small</image:title><image:caption>Is the Earth oblate like an orange (Newton) or prolate like a lemon (the Cassinis)?</image:caption></image:image><lastmod>2014-11-22T17:28:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/11/06/el-nino-likely-this-winter/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/11/vallis-3eqns.jpg</image:loc><image:title>Vallis-3Eqns</image:title><image:caption>Left: Equations of Vallis' model. Right: the Lorenz 3 equation model.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/11/enso-elnino-lanina.jpg</image:loc><image:title>ENSO-ElNino-LaNina</image:title><image:caption>Left: ENSO warm phase (El Nino): Rainfall in mid-Pacific. Right: ENSO cold phase (El Nino): Rainfall in Indonesia.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/11/enso-sst.jpg</image:loc><image:title>ENSO-SST</image:title><image:caption>Patterns of sea surface temperature during El Niño and La Niña episodes. Image courtesy of Climate.gov.</image:caption></image:image><lastmod>2014-11-06T08:56:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/10/30/light-weight/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/asteroidorbit1.jpg</image:loc><image:title>AsteroidOrbit</image:title><image:caption>Trajectory of an asteroid A moving past the sun S on a hyperbolic orbit (from Gregory [2]).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/starlight-bending.jpg</image:loc><image:title>Starlight-Bending</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/solar-eclipse.jpg</image:loc><image:title>Solar-Eclipse</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/asteroidorbit.jpg</image:loc><image:title>AsteroidOrbit</image:title><image:caption>Trajectory of an asteroid A moving past the sun S on a hyperbolic orbit (from Gregory [2]).</image:caption></image:image><lastmod>2014-10-30T08:52:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/10/23/warings-problem-lagranges-four-square-theorem/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/waring-edward.jpg</image:loc><image:title>Waring-Edward</image:title><image:caption>Edward Waring (1736
–1798). Image: MacTutor History of Mathematics archive.}</image:caption></image:image><lastmod>2014-10-23T07:20:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/10/16/old-octonions-may-rule-the-world/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/octonions.jpg</image:loc><image:title>Octonions</image:title><image:caption>Multiplication table for octonions, of the formz=a+bi+cj+dk+eE+fI+gJ+hK [Source: http://jmc2008.wurzel.org/index.php/Main/Logo]</image:caption></image:image><lastmod>2014-10-16T07:49:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/10/09/triangular-numbers-eyphka/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/sumoftriangnums.png</image:loc><image:title>SumOfTriangNums</image:title><image:caption>Sum of triangular numbers T(4)=10 and T(5)=15 is a perfect square, 25.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/bowling-pins.jpg</image:loc><image:title>Bowling-Pins</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/sum1to100.png</image:loc><image:title>Sum1to100</image:title></image:image><lastmod>2014-10-09T08:18:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/10/02/algebra-in-the-golden-age/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/al-khwarizmi-stamp-and-book.jpg</image:loc><image:title>al-KhWarizmi-Stamp-and-Book</image:title><image:caption>Left: Societ stamp commemorating al-Khwārizmī's 1200th birthday. RIght: A page from al-Khwārizmī's Al-Jebr.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/10/cbl_ar_3035_f_105b106a-lores.jpg</image:loc><image:title>CBL_Ar_3035_f_105b106a-LoRes</image:title><image:caption>Ishaq ibn Hunayn's Arabic Translation of Euclid's Elements, AD 1270.
CBL Ar 3035, ff.105b-106a © The Trustees of the Chester Beatty Library.</image:caption></image:image><lastmod>2014-10-02T09:13:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/09/25/curves-with-singularities/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/caustic-coffee-cup.jpg</image:loc><image:title>Caustic-Coffee-Cup</image:title><image:caption>Optical caustic on the liquid surface of a cup of coffee. A cusp can be seen in the cardioid curve.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/cuspandloop.jpg</image:loc><image:title>cuspandloop</image:title><image:caption>Top: Cusp in function y^2 = x^3. Bottom: Loop in function y^2 = x^3 + x^2.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/limacons.jpg</image:loc><image:title>Limacons</image:title><image:caption>Three lima\c{c}ons illustrating double points. Left: Smooth curve {r=1.5+\cos\theta}. Centre: Cardioid {r=1.0+\cos\theta} with a a cusp at the origin. Right: Curve {r=0.5+\cos\theta} crosses itself at the origin</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/slinky-photo2.jpg</image:loc><image:title>slinky-photo2</image:title><image:caption>Projection of slinky onto two dimensions has singular points.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/slinky-photo1.jpg</image:loc><image:title>slinky-photo1</image:title><image:caption>Slinky traces a smooth helical curve in three dimensions.</image:caption></image:image><lastmod>2014-09-25T13:07:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/09/18/how-big-was-the-bomb/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/gi-taylor-021.jpg</image:loc><image:title>GI-Taylor-02</image:title><image:caption>G. I. Taylor</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/trinity-test-soldiers.jpg</image:loc><image:title>Trinity-Test-Soldiers</image:title><image:caption>US army soldiers watching the first test of an atomic weapon, the Trinity Test.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/trinity-test-graph.jpg</image:loc><image:title>Trinity-Test-Graph</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/gi-taylor-02.jpg</image:loc><image:title>GI-Taylor-02</image:title><image:caption>Geoffrey Ingram Taylor (1886-1975).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/trinity-test-photo.jpg</image:loc><image:title>Trinity-Test-Photo</image:title><image:caption>The expanding cloud of the Trinity Test, 16 July 1945.</image:caption></image:image><lastmod>2014-09-18T07:25:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/09/11/cartoon-curves/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/cartoon-fivepanel.jpg</image:loc><image:title>Cartoon-FivePanel</image:title><image:caption>Plots of the curve (x2 + y2 – 1)3 – x2y3 = α for α = {0.1, 0.0, -0.1, -0.2, -0.5} </image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/werner-projection.jpg</image:loc><image:title>Werner-Projection</image:title><image:caption>Plot of a vorticity field on a Werner Projection.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/cartoon-heart.jpg</image:loc><image:title>Cartoon-Heart</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/09/cartoon-yogi-bear.jpg</image:loc><image:title>Cartoon-Yogi-Bear</image:title><image:caption>Yogi Bear Curve. The Mathematica command to generate this is given below.</image:caption></image:image><lastmod>2014-09-11T08:46:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/08/14/do-you-remember-venn/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/venn-with-window.jpg</image:loc><image:title>Venn-with-Window</image:title><image:caption>RIght: John Venn (1834–1923) with signature. Left: Stained glass window at Gonville &amp; Caius College showing Venn diagram
[images Wikimedia Commons].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/venn3colour.jpeg</image:loc><image:title>Venn3colour</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/venn-intersection.png</image:loc><image:title>Venn-Intersection</image:title><image:caption>Intersection of sets.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/venn-union.png</image:loc><image:title>Venn-Union</image:title><image:caption>Union of sets</image:caption></image:image><lastmod>2014-09-09T13:10:23+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/09/04/the-biggest-harp-in-ireland/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/samuel-beckett-bridge-wm-clipped.jpg</image:loc><image:title>Samuel-Beckett-Bridge-WM-Clipped</image:title><image:caption>
Samuel Beckett Bridge, Dublin [Image from Wikimedia Commons. Photo by William Murphy].
</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/beckettbridge-harp.jpg</image:loc><image:title>BeckettBridge-Harp</image:title><image:caption>Image from TIger Dublin Fringe Festival website:
http://fringefest.com/programme/harp-a-river-cantata
Photo Credit: Ciara Corrigan</image:caption></image:image><lastmod>2014-09-04T07:42:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/08/28/temperamental-tuning/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/piano-keyboard-1octave.png</image:loc><image:title>Piano-Keyboard-1octave</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/tuning-justintonation.png</image:loc><image:title>Tuning-JustIntonation</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/circle-of-fifths.png</image:loc><image:title>Circle-of-Fifths</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/tuning-pythagoras.png</image:loc><image:title>Tuning-Pythagoras</image:title></image:image><lastmod>2014-08-28T09:07:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/08/21/biomathematics-the-new-frontier/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/cancer-cell.jpg</image:loc><image:title>Cancer-Cell</image:title><image:caption>Systems Biology Ireland is designing new cancer treatments based on a systems-level, mechanistic understanding of cellular networks</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/sbi-wall-formulas-part.jpg</image:loc><image:title>SBI-Wall-Formulas-PART</image:title><image:caption>Biological network modelled by Boris Kholodenko, SBI.
[Frosted vinyl print on wall of SBI boardroom in UCD]</image:caption></image:image><lastmod>2014-08-21T07:23:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/08/07/come-see-the-spinning-globe/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/foucault-flammarion.jpg</image:loc><image:title>Foucault-Flammarion</image:title><image:caption>Reconstruction of Foucault's demonstration in 1902 (illustration from the cover of WIlliam Tobin's book [1]).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/foucault-leon.jpg</image:loc><image:title>Foucault-Leon</image:title><image:caption>Leon Foucault (1819 - 1868) in 1867, aged forty-seven.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/08/foucault-first-pendulum.jpg</image:loc><image:title>Foucault-First-Pendulum</image:title><image:caption>Engraving in L'Illustration of Foucault's pendulum in the Panthéon in 1851.</image:caption></image:image><lastmod>2014-08-07T07:43:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/07/31/degrees-of-infinity/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/07/georg-cantor1and2.jpg</image:loc><image:title>Georg-Cantor1and2</image:title><image:caption>Georg Cantor (1845 – 1918) around 1870 (left) and in later life (right).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/07/aleph0.png</image:loc><image:title>Aleph0</image:title><image:caption>Aleph-zero, the cardinality of the natural numbers and the smallest transfinite number.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/07/onetoone-correspondence.png</image:loc><image:title>OneToOne-Correspondence</image:title></image:image><lastmod>2014-07-31T08:30:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/07/24/invention-or-discovery/</loc><lastmod>2014-07-24T20:12:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/07/17/digital-dentistry/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/07/cerec-mill-midres.jpg</image:loc><image:title>CEREC-Mill-MidRes</image:title><image:caption>High-precision mill for carving dental crowns.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/07/cerec-mill-detail.jpg</image:loc><image:title>CEREC-Mill-Detail</image:title><image:caption>High-precision digitally-driven mill carving a dental crown from a solid ceramic block
[photo from www.sirona.com].</image:caption></image:image><lastmod>2014-07-17T07:36:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/07/10/gausss-great-triangle-and-the-shape-of-space/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/07/dreieck-03.jpg</image:loc><image:title>Dreieck-03</image:title><image:caption>Gauss's great triangle.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/07/gauss-dm10-2.jpg</image:loc><image:title>Gauss-DM10-2</image:title><image:caption>10 Deutschmark currency note (reverse).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/07/gauss-dm10-1.jpg</image:loc><image:title>Gauss-DM10-1</image:title><image:caption>10 Deutschmark currency note</image:caption></image:image><lastmod>2014-07-10T11:00:02+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/02/27/the-prime-number-theorem/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/primecounter.jpg</image:loc><image:title>primecounter</image:title><image:caption>Prime counting function for n &lt;= 100.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/primedist.jpg</image:loc><image:title>primedist</image:title><image:caption>The thick black curve is the prime counting function {\pi(n)} for {2\le n\le 4000}. The blue curve below it is {n/\log n} and the red curve above is the logarithmic integral {\mathrm{Li}\,n}</image:caption></image:image><lastmod>2014-07-03T21:30:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/07/03/beauty-is-the-first-test/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/kk03-oscillator-suresh-dutt.jpg</image:loc><image:title>SAMSUNG CAMERA PICTURES</image:title><image:caption>Oscillator, an ingenious assembly of angled rhomboidal mirrors by Suresh Dutt.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/kk01-indras-pearls-indigo-janice-gunner.jpg</image:loc><image:title>SAMSUNG CAMERA PICTURES</image:title><image:caption>Indra's Indigo, detail of a  patchwork quilt by accomplished textile artist Janice Gunner.</image:caption></image:image><lastmod>2014-07-03T08:22:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/06/26/balancing-a-pencil/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/pencil-droptime.jpg</image:loc><image:title>Pencil-Droptime</image:title><image:caption>Drop time for a bencil initially stationary with angle theta. The frequency is omega=10.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/brush-and-pencil.jpg</image:loc><image:title>Brush-and-Pencil</image:title><image:caption>Easy to balance a brush handle. Very hard to balance a pencil (this one is held up by a paper clip).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/pendulum-periods.jpg</image:loc><image:title>Pendulum-Periods</image:title><image:caption>{Complete elliptic integral and approximations for a range of values of {\theta}</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/balanced-pencil.jpg</image:loc><image:title>Balanced-Pencil</image:title><image:caption>A pencil balanced on its point. Is there a trick? Yes: see below.</image:caption></image:image><lastmod>2014-06-26T10:04:57+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/06/19/when-did-hammurabi-reign/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/hammurabi-and-codex.jpg</image:loc><image:title>Hammurabi-and-Codex</image:title><image:caption>Left:  Image of Hammurabi in the US Congress.
Right: Part of an inscription of the Code of Hammurabi.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/hammurabi.jpg</image:loc><image:title>Hammurabi</image:title><image:caption>Hammurabi (standing) receiving his royal insignia from Shamash [image from Wikimedia Commons].</image:caption></image:image><lastmod>2014-06-19T06:44:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/06/12/biscuits-books-coins-and-cards-massive-hangovers/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/stack-of-cards.jpg</image:loc><image:title>Stack-of-Cards</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/stack-of-books.jpg</image:loc><image:title>Stack-of-Books</image:title><image:caption>Ten volumes of the Encyclopedia Britannica.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/stack-of-biscuits.jpg</image:loc><image:title>Stack-of-Biscuits</image:title><image:caption>Ten chocolate gold grain biscuits, with a hangover of about one diameter.</image:caption></image:image><lastmod>2014-06-12T04:38:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/04/03/the-predictive-power-of-maths/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/galaxies-merging.jpg</image:loc><image:title>Galaxies-Merging</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/leverrier-einstein.jpg</image:loc><image:title>Leverrier-Einstein</image:title><image:caption>LEFT: Urbain Le Verrier. French physicist François Arago described him as “the man who discovered a planet with the point of his pen”. RIGHT: 

Albert Einstein (1879-1955) photographed in 1921 [Image Wikipedia].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/adams-leverrier-cartoon.png</image:loc><image:title>Adams-LeVerrier-Cartoon</image:title><image:caption>Controversy over who first predicted Neptune: a French cartoon showing Adams spying on Leverrier.</image:caption></image:image><lastmod>2014-06-08T10:23:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/06/05/sunflowers-and-fibonacci-models-of-efficiency/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/auxin-conc.png</image:loc><image:title>Auxin-conc</image:title><image:caption>Pseudocolor plot of auxin concentration (from Pennybacker, Matthew and Alan C. Newell, 2013).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/auxin-pde.png</image:loc><image:title>Auxin-PDE</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/sunflower3.jpg</image:loc><image:title>Sunflower3</image:title><image:caption>Patterns generated by Fermat spiral with angle equal to golden number (centre), one degree less (left) and one degree greater (right).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/ibec-logo-combo.jpg</image:loc><image:title>Ibec-Logo-Combo</image:title><image:caption>Logo of Ibec (Irish Business &amp; Employers COnfederation).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/06/ibec-sunflower.jpg</image:loc><image:title>Ibec-Sunflower</image:title></image:image><lastmod>2014-06-05T07:19:27+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/05/29/the-high-power-hypar/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/bicylinder.jpg</image:loc><image:title>Bicylinder</image:title><image:caption>The intersection of two
perpendicular cylinders consists of two ellipses. The volume of the intersection is called a bicylinder.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/pringle2.jpg</image:loc><image:title>Pringle</image:title><image:caption>The Tennis Ball curve, the intersection of two offset elliptic cylinders, and also of a sphere and hyperbolic paraboloid or hypar.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/pringle1.jpg</image:loc><image:title>Pringle</image:title><image:caption>The Tennis Ball curve, the intersection of two offset elliptic cylinders, and also of a sphere and hyperbolic paraboloid or hypar.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/pringle.jpg</image:loc><image:title>Pringle</image:title><image:caption>The Tennis Ball curve, the intersection of two offset elliptic cylinders, and also of a sphere and hyperbolic paraboloid or hypar.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/hypar-roof-mid-res.jpg</image:loc><image:title>Hypar-Roof-Mid-Res</image:title><image:caption>Warszawa Ochota railway station, a hypar structure
[Image Wikimedia Commons].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/50-visions.jpg</image:loc><image:title>50-Visions</image:title></image:image><lastmod>2014-05-29T13:44:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/05/15/the-future-of-society-prosperity-or-collapse/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/quo-vadimus.png</image:loc><image:title>Quo-Vadimus</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/handy-output.png</image:loc><image:title>HANDY-Output</image:title><image:caption>Oscillatory approach to equilibrium, predicted by HANDY  in the
presence of both Workers and Non-Workers when the overshoot is not too large.</image:caption></image:image><lastmod>2014-05-24T15:52:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/05/22/the-chaos-game/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/barnsleyfern.jpg</image:loc><image:title>BarnsleyFern</image:title><image:caption>Barnsley Fern after one million iterations.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/barnsleyfern3panel.jpg</image:loc><image:title>BarnsleyFern3Panel</image:title><image:caption>Barnsley Fern generated by Chaos Game. Left to right: 1000, 10 000 and 100 000 points.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/sierpinski64.jpg</image:loc><image:title>Sierpinski64</image:title><image:caption>Sierpinski Gasket constructed by plotting only odd entries in first 4 rows of Pascal's Triangle.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/sierpinski-gasket-construction.png</image:loc><image:title>Sierpinski-Gasket-Construction</image:title><image:caption>Sierpinski Gasket: usual construction by trisection.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/sierpinski.jpg</image:loc><image:title>Sierpinski</image:title><image:caption>Sierpinski Gasket constructed with the Chaos Game. One million iterations, first 100 points omitted.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/sierpinski-3panel.jpg</image:loc><image:title>Sierpinski-3panel</image:title><image:caption>The Chaos Game for three points at the vertices of an equilateral triangle. Output after 500, 1000 and  2000 steps.</image:caption></image:image><lastmod>2014-05-22T08:52:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/05/08/predator-prey-models/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/predatorpreyt.jpg</image:loc><image:title>PredatorPreyT</image:title><image:caption>Solution for X(T) and Y(T) for 30 time units. X(0)=0.5, Y(0)=0.2 and k=0.5.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/predatorprey-3k.jpg</image:loc><image:title>PredatorPrey-3k</image:title><image:caption>Contours of Z=Const. Left: k=0.1, Middle: k=1.0. Right: k=10.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/05/predatorprey1.jpg</image:loc><image:title>PredatorPrey1</image:title><image:caption>Phase-space for the Lotka-Volterra equations.</image:caption></image:image><lastmod>2014-05-08T19:38:23+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/05/01/the-faraday-of-statistics/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/gosset-william.jpg</image:loc><image:title>Gosset-William</image:title><image:caption>William Sealy Gosset (1876-1937) in 1908, the year he published his paper The Probable Error of a Mean
[image from Wikimedia Commons].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/gosset-plaque.jpg</image:loc><image:title>Gosset-Plaque</image:title><image:caption>Plaque at St Patrick's National School, Hollypark, Blackrock, where William Gosset lived from 1913 to 1935.</image:caption></image:image><lastmod>2014-05-01T07:41:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/04/24/breaking-weather-records/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/recordbreaks.jpg</image:loc><image:title>RecordBreaks</image:title><image:caption>Number of redord values for 100 sequences, each with 1024 values. H(1024)=7.51.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/harmonic-series.png</image:loc><image:title>Harmonic-Series</image:title><image:caption>The shaded area between 1 and n gives the sum of the harmonic series to term (1/n).</image:caption></image:image><lastmod>2014-04-24T09:44:04+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/04/17/clothoids-drive-us-round-the-bend/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/m8-watergrasshill.jpg</image:loc><image:title>M8-Watergrasshill</image:title><image:caption>The M8 approaching Watergrasshill in Cork [image from Wikimedia Commons].</image:caption></image:image><lastmod>2014-04-19T14:36:03+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/04/10/rollercoaster-loops/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/rollercoaster-shockwave.jpg</image:loc><image:title>Rollercoaster-Shockwave</image:title><image:caption>Vertical loop on the Shockwave coaster at Six Flags over Texas [image Wikimedia Commons].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/cornuspiral.jpg</image:loc><image:title>CornuSpiral</image:title><image:caption>Cornu spiral.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/04/rollercoasterloops.png</image:loc><image:title>RollerCoasterLoops</image:title><image:caption>Rollercoaster loops, showing high curvature near the top and lower values lower down.</image:caption></image:image><lastmod>2014-04-11T06:25:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/03/27/solar-system-perturbations/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/03/solar-system-relative-masses.png</image:loc><image:title>Solar-System-Relative-Masses</image:title></image:image><lastmod>2014-03-31T16:19:04+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/03/20/the-unity-of-mathematics/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/03/rene-descartes.jpg</image:loc><image:title>Rene-Descartes</image:title><image:caption>René Descartes, (1596-1650),  dubbed The Father of Modern Philosophy, who introduced a coordinate system that unified algebra and geometry.</image:caption></image:image><lastmod>2014-03-20T08:12:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/03/13/the-langlands-program/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/03/frenkel-book.jpg</image:loc><image:title>Frenkel-book</image:title><image:caption>"Love and Math", a recent book about the Langlands Program.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/03/andre-weil.jpg</image:loc><image:title>Andre-Weil</image:title><image:caption>André Weil (1906-1998)</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/03/robert-langlands-small.jpg</image:loc><image:title>Robert-Langlands-small</image:title><image:caption>Canadian mathematician Robert Langlands, who formulated a series of far-reaching conjectures.</image:caption></image:image><lastmod>2014-03-14T09:30:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/03/06/simulating-the-future-climate/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/primitive-equations.jpg</image:loc><image:title>Primitive-Equations</image:title><image:caption>The Primitive Equations, a coupled system of nonlinear partial differential equations that govern the dynamics of the atmosphere.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/irish-climate-reports.jpg</image:loc><image:title>Irish-Climate-Reports</image:title><image:caption>Two recent reports on future climate conditions in Ireland [both available online at  http://www.met.ie/publications/</image:caption></image:image><lastmod>2014-03-06T11:30:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/02/20/euclid-in-technicolor/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/byrne-mondrian.jpg</image:loc><image:title>Byrne-Mondrian</image:title><image:caption>Left: Diagram from Byrne's Euclid. Right: Composition by Piet Mondrian.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/oliver-byrne-portrait.jpg</image:loc><image:title>Oliver-Byrne-Portrait</image:title><image:caption>Oliver Byrne (c. 1810-1890)</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/byrne-rietveld.jpg</image:loc><image:title>Byrne-Rietveld</image:title><image:caption>Left: Oliver Byrne's diagram (1847) for the Theorem of Pythagoras. Right: Gerrit Rietveld's Red and Blue Chair, 1918.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/byrne-cover-title.jpg</image:loc><image:title>Byrne-Cover-Title</image:title></image:image><lastmod>2014-02-20T09:52:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/02/13/speed-cubing-group-theory/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/rubiks-superflip.png</image:loc><image:title>Rubiks-Superflip</image:title><image:caption>Superflip position: all cubies in position, corners correctly oriented and edges reversed.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/rubiks-cube.png</image:loc><image:title>Rubiks-Cube</image:title><image:caption>Rubik's Cube, invented in 1974 by Hungarian professor of architecture Ernő Rubik.</image:caption></image:image><lastmod>2014-02-13T07:58:49+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/02/06/french-curves-and-bezier-splines/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/bezier-curves.jpg</image:loc><image:title>Bezier-Curves</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/bernstein123.png</image:loc><image:title>Bernstein123</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/02/french-curve.jpg</image:loc><image:title>French-Curve</image:title></image:image><lastmod>2014-02-06T14:40:47+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/01/30/bezouts-theorem/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/bezout-cubic-quartic.jpg</image:loc><image:title>Bezout-Cubic-Quartic</image:title><image:caption>Left: Two cubics intersecting in 9 = 3x3 points. Right: a quadratic and quartic intersecting in 8 = 2x4 points.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/etienne-bezout.jpg</image:loc><image:title>Etienne-Bezout</image:title><image:caption>Étienne Bézout (1730–1783)</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/bezout-02.jpg</image:loc><image:title>Bezout-02</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/bezout-01.jpg</image:loc><image:title>Bezout-01</image:title></image:image><lastmod>2014-01-30T11:47:32+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/01/23/pythagorean-triples/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/stereo-01.jpg</image:loc><image:title>Stereo-01</image:title><image:caption>Mapping of rational points on unit circle to rational points on the real line.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/plimpton-322.jpg</image:loc><image:title>Plimpton-322</image:title><image:caption>The Babylonian clay tablet known as Plimpton 322.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/345-pythagoras.jpg</image:loc><image:title>345-Pythagoras</image:title><image:caption>Left: Right-angled triangle with sides of length 3, 4 and 5, made from 12 matches. Right: General Pythagorean triangle.</image:caption></image:image><lastmod>2014-01-23T15:29:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/01/16/robots-biology/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/jellett-book-old-new.jpg</image:loc><image:title>Jellett-Book-Old-New</image:title><image:caption>Jellett's book on friction published in Dublin in 1872 and Russian translation published in Izhevsk in 2009.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/jellett.jpg</image:loc><image:title>Jellett</image:title><image:caption>John Hewitt Jellett (1817–1888), Provost of Trinity College, Dublin.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/accordion.png</image:loc><image:title>Accordion</image:title><image:caption>Alexey Borisov on the accordion.</image:caption></image:image><lastmod>2014-01-16T12:38:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/08/12/napiers-nifty-rules/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/08/napiers-rules.png</image:loc><image:title>Napiers-Rules</image:title><image:caption>Napier's Rules for right spherical triangle (Wikipedia Commons)</image:caption></image:image><lastmod>2014-01-13T10:56:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/01/02/interesting-bores/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/12/severn-bore-surfers.jpg</image:loc><image:title>Severn-bore-surfers</image:title><image:caption>Surfers on the Severn bore (photograph by Mark Humpage, with thanks)</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/12/hydraulic-jump-01.jpg</image:loc><image:title>Hydraulic-Jump-01</image:title><image:caption>Characteristics of a hydraulic jump (image Wikimedia).</image:caption></image:image><lastmod>2014-01-09T11:48:06+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2014/01/09/white-holes-in-the-kitchen-sink/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2014/01/white-hole-2.png</image:loc><image:title>White-hole-2</image:title><image:caption>Experimental production of sink bore with viscous oil. Note the "Mach cone". </image:caption></image:image><lastmod>2014-01-09T11:45:53+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/12/26/experiment-and-proof/</loc><lastmod>2013-12-26T09:38:35+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/12/19/santas-fractal-journey/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/12/santa-and-moon.jpg</image:loc><image:title>Santa-and-Moon</image:title></image:image><lastmod>2013-12-19T12:23:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/12/12/irelands-fractal-coastline/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/12/fractal-coast.jpg</image:loc><image:title>Fractal-Coast</image:title><image:caption>Log-log plot of length versus step-size (from [2]).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/12/nw-se-ireland.jpg</image:loc><image:title>NW-SE-Ireland</image:title><image:caption>Contrasting character of the NW and SE coasts (from Google Maps).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/12/box-dimension.png</image:loc><image:title>Box-Dimension</image:title><image:caption>The Kerry coast with superimposed coarse grid (left) and fine grid (right). Only boxes intersecting the coast are shown (from [1]).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/12/kochflake.png</image:loc><image:title>KochFlake</image:title><image:caption>The Koch snowflake (image from Wikimedia)</image:caption></image:image><lastmod>2013-12-13T09:38:19+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/12/05/population-projections/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/11/un-population-1950-2100.png</image:loc><image:title>UN-population-1950-2100</image:title><image:caption>Projected populations of the world and its continents to 2100.
Shaded regions correspond to the range of projections by the UN.
</image:caption></image:image><lastmod>2013-12-05T10:09:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/11/28/a-simple-growth-function/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/11/growthrate.jpg</image:loc><image:title>growthrate</image:title><image:caption>Function {N(t) = N_0 \exp[t/(1+\gamma t)]} for three values of {\gamma}. Blue curve: {\gamma = 0}, exponential growth. Magenta curve: {\gamma = +1}, logistical growth, tending to a finite limit. Red curve: {\gamma = -1}, hyperbolic growth, blowing up at {t=1}.</image:caption></image:image><lastmod>2013-11-28T16:19:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/11/21/the-antikythera-mechanism/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/11/antikythera-fragplusgears.jpg</image:loc><image:title>Antikythera-FragPlusGears</image:title><image:caption>Left: Fragment A of the Antikythera Mechanism. Right: 
Diagram of the gearing of the AM  (courtesy of the Adler Planetarium, Chicago).

</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/11/antikythera-map.png</image:loc><image:title>Antikythera-Map</image:title><image:caption>Antikythera, between Crete and the Greek mainland (google maps).
</image:caption></image:image><lastmod>2013-11-21T10:36:12+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/11/14/the-watermelon-puzzle/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/11/watermelons.jpg</image:loc><image:title>Watermelons</image:title><image:caption>Figure: 
Weights. Upper panel: Total weight 100kg: 1kg pith (black) and 99kg water (grey). Lower panel: Total weight 50kg: 1kg pith (black) and 49kg water (grey). 
Percentages. Upper panel: 99kg water makes 99%. 1kg pith makes 1%. Lower panel: 49kg water makes 98%. 1kg pith makes 2%. The weight of pith does not change, but the percentage doubles.
</image:caption></image:image><lastmod>2013-11-14T09:36:33+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/11/07/eulers-gem/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/11/trunc-icosa.jpg</image:loc><image:title>Trunc-icosa</image:title><image:caption>Football based on the truncated icosahedron [image from Wikimedia Commons].</image:caption></image:image><lastmod>2013-11-07T18:27:13+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/10/31/hyperbolic-triangles-and-the-gauss-bonnet-theorem/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/column-triangles.gif</image:loc><image:title>Column-Triangles</image:title><image:caption>Geodesic triangles with {\delta = \pi}. All three have area {A=\pi}</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/talon-triangles.gif</image:loc><image:title>Talon-Triangles</image:title><image:caption>Geodesic triangles with {\delta = \pi/2}. All three have area {A=\pi/2}.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/angel-triangles2.gif</image:loc><image:title>Angel-Triangles</image:title><image:caption>Geodesic triangles in the Poincar\’{e} Half-plane. The two shaded triangles are similar and have the same area.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/angel-triangles1.gif</image:loc><image:title>Angel-Triangles</image:title><image:caption>Geodesic triangles in the Poincar\’{e} Half-plane. The two shaded triangles are similar and have the same area.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/angel-triangles.gif</image:loc><image:title>Angel-Triangles</image:title><image:caption>Geodesic triangles in the Poincare Half-plane. The two shaded triangles are similar and have the same area.</image:caption></image:image><lastmod>2013-11-01T12:53:28+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/10/24/poincares-half-plane-model-bis/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/saddle-surface-curvature1.png</image:loc><image:title>Saddle-surface-curvature</image:title><image:caption>Saddle surface with tangent plane and normal planes in directions of principal curvatures [Wikimedia Commons].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/saddle-surface-curvature.png</image:loc><image:title>Saddle-surface-curvature</image:title><image:caption>Saddle surface with tangent plane and normal planes in directions of principal curvatures [Wikimedia Commons].</image:caption></image:image><lastmod>2013-10-24T08:58:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/10/17/geometry-out-of-this-world/</loc><lastmod>2013-10-17T07:46:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/10/11/poincares-half-plane-model/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/halfplaneparallels.jpg</image:loc><image:title>HalfPlaneParallels</image:title><image:caption>Both lines through P are parallel to the heavy line L. There are an infinite number of such lines through P parallel to L. </image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/halfplane1.jpg</image:loc><image:title>HalfPlane</image:title><image:caption>Geodesics in the Poincare Half-plane</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/halfplane.jpg</image:loc><image:title>HalfPlane</image:title><image:caption>Geodesics
in the Poincare Half-plane</image:caption></image:image><lastmod>2013-10-11T12:34:51+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/10/03/the-simpler-the-better/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/10/george-danzig-simplex.jpg</image:loc><image:title>George-Danzig-Simplex</image:title><image:caption>Left: George Danzig (1914-2005), the American mathematical scientist who devised linear programming and the simplex algorithm. Right: The simplex algorithm moves along the edges of the polytope until it reaches the optimum solution.</image:caption></image:image><lastmod>2013-10-03T13:12:57+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/09/26/a-mathematical-dynasty/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/09/bernoullis.jpg</image:loc><image:title>Bernoullis</image:title><image:caption>Jakob  (1654–1705),  Johann  (1667-1748) and Daniel Bernoulli (1700–1782).</image:caption></image:image><lastmod>2013-09-26T20:25:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/09/19/sonya-kovalevskaya-a-russian-genius/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/09/sonya-kovalevskaya.jpg</image:loc><image:title>Sonya-Kovalevskaya</image:title><image:caption>Sofia Kovalevskaya in 1880
[image from Wikimedia Commons]</image:caption></image:image><lastmod>2013-09-20T07:29:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/09/12/new-estimate-of-the-speed-of-light/</loc><lastmod>2013-09-12T09:24:55+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/09/05/irish-maths-week-2013/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/09/logo_mw_2011.jpg</image:loc><image:title>logo_mw_2011</image:title></image:image><lastmod>2013-09-05T08:38:17+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/08/29/a-hole-through-the-earth/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/08/hole-in-the-earth.jpg</image:loc><image:title>Hole-in-the-Earth</image:title><image:caption>Image from The Strand Magazine, 1909: Camille Flammarion: A Hole through the Earth.</image:caption></image:image><lastmod>2013-08-29T07:47:43+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/08/22/ternary-variations/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/08/smith-volterra-cantor-set.png</image:loc><image:title>Smith-Volterra-Cantor-set</image:title><image:caption>The first six stages in constructing the Smith-Volterra-Cantor set.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/08/cantor-set.jpg</image:loc><image:title>Cantor-set</image:title><image:caption>The first seven stages in constructing the Cantor set.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/08/cantor-set.png</image:loc><image:title>Cantor-set</image:title><image:caption>The first seven stages in constructing the Cantor set.</image:caption></image:image><lastmod>2013-08-27T11:23:45+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/08/15/the-atmospheric-railway/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/08/atmos-railway-twopics.jpg</image:loc><image:title>Atmos-Railway-Twopics</image:title><image:caption>Left: train leaving Kingstown. Right Pump-house at the Dalkey terminus [from Hadfield]</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/08/atmos-railway-roadsign.jpg</image:loc><image:title>SAMSUNG</image:title><image:caption>Road sign at location of the old Dalkey terminus.</image:caption></image:image><lastmod>2013-08-15T06:25:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/08/08/the-remarkable-bbp-formula/</loc><lastmod>2013-08-08T16:04:20+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/06/27/wrangling-and-the-tripos/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/06/tripos-results.jpg</image:loc><image:title>Tripos-Results</image:title><image:caption>Results are read out at the Senate House and then tossed from the balcony. [Photograph from http://en.wikipedia.org/wiki/File:Mathmo_results.jpg]
</image:caption></image:image><lastmod>2013-08-03T16:08:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/03/21/the-pitch-drop-experiment/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/pitch-drop-live.png</image:loc><image:title>Pitch-Drop-Live</image:title><image:caption>The Pitch Drop Experiment. Shot from the live webcam at the University of Brisbane.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/kelvin-compass.jpg</image:loc><image:title>Kelvin-Compass</image:title><image:caption>William Thomson, 1st Baron Kelvin (1824–1907), Belfast-born mathematical physicist and engineer.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/stokes.jpg</image:loc><image:title>stokes</image:title><image:caption>George Gabriel Stokes (1819–1903),  mathematician and physicist, born in Skreen, Ireland. Stokes was Lucasian Professor of Mathematics in Cambridge from 1849 until 1903.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/osborne-reynolds.jpg</image:loc><image:title>Osborne-Reynolds</image:title><image:caption>Osborne Reynolds (1842–1912), born in Belfast, made fundamental contributions to our understanding of fluid dynamics.</image:caption></image:image><lastmod>2013-08-02T10:56:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/08/01/admirably-appropriate/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/08/four-mathematicians.jpg</image:loc><image:title>Four-Mathematicians</image:title><image:caption>William Rowan Hamilton, Bernhard Riemann, Albert Einstein and Eugene Wigner.</image:caption></image:image><lastmod>2013-08-01T15:11:09+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/07/25/paddling-uphill/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/07/oblate-earth.jpg</image:loc><image:title>Oblate-Earth</image:title><image:caption>The river source is denoted S and the mouth M. Despite flow down the gradient of g
ravitational potential, S is nearer than M to the earth’s centre C.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/07/spheroid-earth1.jpg</image:loc><image:title>Spheroid-Earth</image:title><image:caption>The apparent gravity is comprised of two parts, Newtonian gravity and the centrifugal force. This force is perpendicular to the surface of the spheroidal earth.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/07/spheroid-earth.jpg</image:loc><image:title>Spheroid-Earth</image:title><image:caption>The apparent gravity $latex {\mathbf{g}}&amp;fg=000000$ is comprised of two parts, Newtonian gravity
{$latex {\mathbf{g^*}}&amp;fg=000000$} and the centrifugal force $latex {\Omega^2\mathbf{R}}&amp;fg=000000$. This force is perpendicular to the surface of the spheroidal earth.</image:caption></image:image><lastmod>2013-07-25T09:25:24+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/07/18/matholympic-heroes/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/07/imo2013-results.png</image:loc><image:title>IMO2013-Results</image:title><image:caption>Results for the Irish contestants at the 54th IMO.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/07/santamarta-1.jpg</image:loc><image:title>SantaMarta-1</image:title><image:caption>Santa Marta, Colombia, where the 54th IMO is to be held, July 18-28, 2013.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/07/imo-logo.gif</image:loc><image:title>IMO-logo</image:title><image:caption>The logo of the IMO. This design, called a Whitehead Link, combines the symbols for zero (0) and infinity (∞)</image:caption></image:image><lastmod>2013-07-18T08:33:37+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/07/11/the-ups-and-downs-of-hailstone-numbers/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/07/collatzfractal-mres.png</image:loc><image:title>CollatzFractal-MRes</image:title><image:caption>Fig. 3: The Collatz fractal, arising from the iterative map in the complex z-plane. [Source: Wikipedia article on the Collatz Conjecture. This image was selected as picture of the month on the Mathematics Portal for April 2007.]</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/07/collatz27-b.jpg</image:loc><image:title>Collatz27-B</image:title><image:caption>Fig. 2: Left: maximum value of the Collatz sequence as a function of N. Right: number of steps in the Collatz sequence as a function of N.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/07/collatz27.jpg</image:loc><image:title>collatz27</image:title><image:caption>Fig. 1: Hailstone sequence for initial value N=27. The sequence reaches its maximum value of 9232 at step 78 and arrives at 1 in 112 steps.</image:caption></image:image><lastmod>2013-07-11T15:43:00+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/07/04/the-school-of-athens/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/06/platoaristotlepythagoraseuclid.jpg</image:loc><image:title>PlatoAristotlePythagorasEuclid</image:title><image:caption>Left: Plato and Aristotle. Centre: Pythagoras. Right: Euclid (or Archimedes?).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/06/school-of-athens-lores.jpg</image:loc><image:title>School-of-Athens-LoRes</image:title><image:caption>Raphael's School of Athens, Apostolic Palace, Vatican City</image:caption></image:image><lastmod>2013-07-04T08:31:33+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/06/21/amazing-normal-numbers/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/06/champernowne.jpg</image:loc><image:title>Champernowne</image:title></image:image><lastmod>2013-06-21T09:09:26+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/06/13/joyces-number/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/06/joyces-tower.jpg</image:loc><image:title>Joyces-Tower</image:title><image:caption>Joyce’s Tower in Sandycove, Co. Dublin [Photo: Peter Lynch]</image:caption></image:image><lastmod>2013-06-14T10:07:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/06/05/prime-secrets-revealed/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/06/primepairs-hindutimes.jpg</image:loc><image:title>PrimePairs-HinduTimes</image:title><image:caption>Yitang Zhang brings us closer to a proof of the twin prime conjecture [Image from Hindu Times]</image:caption></image:image><lastmod>2013-06-06T08:00:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/05/23/the-sholders-of-giants/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/05/infinity_symbol.png</image:loc><image:title>Infinity_symbol</image:title><image:caption>The symbol ∞ for infinity, introduced by John Wallis.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/05/john-wallis.jpg</image:loc><image:title>John-Wallis</image:title><image:caption>John Wallis (1616–1703)</image:caption></image:image><lastmod>2013-06-02T22:14:29+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/05/30/gauss-misses-a-trick/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/05/pseudosphere.png</image:loc><image:title>Pseudosphere</image:title><image:caption>The pseudo-sphere, a surface of constant negative curvature [Image from http://virtualmathmuseum.org]</image:caption></image:image><lastmod>2013-06-01T16:35:32+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/05/18/ducks-drakes-kelvin-wakes/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/05/kelvin-wake-midres.jpeg</image:loc><image:title>Kelvin-Wake-MidRes</image:title><image:caption>Wake of a boat in the Lyse fjord, Norway [Image Wikimedia]. </image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/05/kelvin-wake-duck.jpg</image:loc><image:title>SAMSUNG</image:title><image:caption>A duck on the Avoca River in Arklow.</image:caption></image:image><lastmod>2013-05-18T14:43:59+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/05/09/the-loaves-and-the-fishes/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/05/1000px-banach-tarski_paradox.png</image:loc><image:title>1000px-Banach-Tarski_Paradox</image:title><image:caption>A ball decomposed into a finite number of parts and reassembled into two identical copies [Image Wikimedia Commons].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/05/banach-tarski-photos.jpg</image:loc><image:title>Banach-Tarski-Photos</image:title><image:caption>Stefan Banach (1892–1945), Polish mathematician (left) and Alfred Tarski (1901-1983), Polish logician (right).</image:caption></image:image><lastmod>2013-05-09T09:21:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/05/02/monster-symmetry/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/04/rri-banner-03.jpg</image:loc><image:title>RRI-Banner-03</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/04/sporadic-groups.png</image:loc><image:title>Sporadic-Groups</image:title><image:caption>The 26 sporadic finite groups. The "monster Group", with about 
8.10^53 elements, is at the top [Image from Wikipedia].</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/04/noether-top.jpg</image:loc><image:title>Noether-Top</image:title><image:caption>Emmy Noether (1882-1935) [Wikimedia Commons].</image:caption></image:image><lastmod>2013-05-03T10:27:54+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/04/25/spots-and-stripes/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/04/leopard-mid-res.jpg</image:loc><image:title>Leopard-mid-res</image:title><image:caption>African Leopard (Panthera pardus pardus). [Image from Wikimedia Commons] </image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/schnakenberg4.jpg</image:loc><image:title>Schnakenberg4</image:title><image:caption>Concentration of constituent A at equilibrium predicted by the Schnakenberg equations. 
Upper left: γ = 100. Upper right: γ = 400. Lower left: γ=1600. Lower right: γ = 6400.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/schnakenberg.jpg</image:loc><image:title>Schnakenberg</image:title></image:image><lastmod>2013-04-29T11:51:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/04/18/dis-dat-dix-douze-dozenal-digits/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/04/mickey-mouse.png</image:loc><image:title>Mickey-Mouse</image:title><image:caption>Mickey has three fingers and a thumb on each hand. How many toes has he got?</image:caption></image:image><lastmod>2013-04-18T10:07:58+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/04/11/pythagoras-goes-global/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/04/spherical-plane-triangles.jpg</image:loc><image:title>Spherical-Plane-Triangles</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/04/vanbrummelen.png</image:loc><image:title>VanBrummelen</image:title></image:image><lastmod>2013-04-11T09:01:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/04/04/bayes-rules-ok/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/challenger_explosion.jpg</image:loc><image:title>Challenger_explosion</image:title><image:caption>Smoke-plume of Space Shuttle Challenger, January 28, 1986. The disaster resulted in the deaths of all seven crew members.</image:caption></image:image><lastmod>2013-04-07T18:16:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/03/01/more-equal-than-others/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/first_equation_ever.png</image:loc><image:title>First_Equation_Ever</image:title><image:caption> The first equation written in symbolic form. Equivalent in modern notation to 14x+15=71.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/robert-recorde.jpg</image:loc><image:title>Robert-Recorde</image:title><image:caption>Robert Recorde (c. 1512 – 1558), a Welsh physician and mathematician.</image:caption></image:image><lastmod>2013-03-28T16:44:57+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/03/28/peaks-pits-passes/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/ecmwf-pressure-map.jpg</image:loc><image:title>ECMWF-Pressure-Map</image:title><image:caption>Sea-level pressure analysis from ECMWF, valid Monday 25 March 2013 1200Z. Some highs, lows and cols are marked.</image:caption></image:image><lastmod>2013-03-28T15:11:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/03/14/happy-pi-day-2013/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/pipolygons.png</image:loc><image:title>PiPolygons</image:title><image:caption>Hexagons and octogons within and around a circle.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/pimosaic.jpg</image:loc><image:title>PiMosaic</image:title><image:caption>Pi mosaic outside the Maths Department at Berlin's Technical University</image:caption></image:image><lastmod>2013-03-14T14:29:18+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/03/07/ct-scans-and-the-radon-transform/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/prime-160-brain-tumor-01.jpg</image:loc><image:title>PRIME-160-Brain-Tumor-01</image:title><image:caption>Aquilion PRIME 160 CT scan showing a brain tumor. The arterial supply and venous drainage isclear in this 3D image from http://medical.toshiba.com/
</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/03/ct-skyceiling.png</image:loc><image:title>CT-SkyCeiling</image:title><image:caption>Toshiba Aquilion Prime CT Scanner installed at Tallaght Hospital in 2012.</image:caption></image:image><lastmod>2013-03-07T09:32:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/08/16/analemmatic-sundials/</loc><lastmod>2013-03-01T17:43:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/01/10/the-power-tower/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/powertower-x.jpg</image:loc><image:title>powertower-x</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/powertower-y.jpg</image:loc><image:title>powertower-y</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/iteration.jpg</image:loc><image:title>Iteration</image:title></image:image><lastmod>2013-02-27T21:20:11+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/02/21/the-swingin-spring/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/chaos01.jpg</image:loc><image:title>Chaos01</image:title><image:caption>Horizontal projection of trajectory for large amplitude: chaotic motion.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/star01.jpg</image:loc><image:title>Star01</image:title><image:caption>Horizontal projection of trajectory for small amplitude: regular motion</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/ss01.jpeg</image:loc><image:title>ss01</image:title><image:caption>The elastic pendulum or swinging spring.</image:caption></image:image><lastmod>2013-02-22T23:42:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/02/14/singularly-valuable-svd/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/fingerprint_00-40.png</image:loc><image:title>fingerprint_00-40</image:title><image:caption>Original fingerprint image (left panel) and compression to rank 40 (from website of John Burkardt, FSU).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/fingerprint_00-20.png</image:loc><image:title>fingerprint_00-20</image:title><image:caption>Original fingerprint image (left panels) and compression to rank 20 (from website of John Burjardt, FSU).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/fingerprint_00-10.png</image:loc><image:title>fingerprint_00-10</image:title><image:caption>Original fingerprint image (left panels) and compression to rank 10.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/foursubspaces.jpg</image:loc><image:title>FourSubSpaces</image:title><image:caption>The four fundamental subspaces involved in the action of the matrix A.</image:caption></image:image><lastmod>2013-02-15T18:44:21+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/02/07/computer-maths/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/prace.jpg</image:loc><image:title>PRACE</image:title><image:caption>PRACE, the Partnership for Advanced Computing in Europe</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/eniac-altix.jpg</image:loc><image:title>Eniac-Altix</image:title><image:caption>Left: ENIAC, circa 1950. Right: SGI Altix ICE 8200EX (ICHEC computer called Stokes).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/02/fourcolourexample.jpg</image:loc><image:title>FourColourExample</image:title><image:caption>Left: Map with five colours. Right: Recolouring of the map that requires only four colours (image from Wikimedia Commons).</image:caption></image:image><lastmod>2013-02-07T08:05:40+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/08/24/sproutology/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/08/sprouts-2spot-game.png</image:loc><image:title>Sprouts-2spot-game</image:title><image:caption>A 2-spot game of Sprouts. The first player unable to draw a connecting line is the loser. (Image from Wikimedia Commons)</image:caption></image:image><lastmod>2013-02-06T18:22:48+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/10/18/carving-up-the-globe/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/platonic-solids2.jpg</image:loc><image:title>Platonic-solids</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/mpas.png</image:loc><image:title>MPAS</image:title><image:caption>Adaptive unstructured grid used in the MPAS model.&#13;
http://mpas.sourceforge.net/clouds.png</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/yin-yang-grid.jpg</image:loc><image:title>Yin-Yang-Grid</image:title><image:caption>Yin-Yang grid. Image from http://dx.doi.org/10.1016/j.pepi.2008.06.025</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/sphere-adapted-grid.png</image:loc><image:title>SPHERE-adapted-grid</image:title><image:caption>A variable resolution grid. Picture by Michael Duda, MMM, NCAR</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/sphere-geodesic2.jpg</image:loc><image:title>SPHERE-geodesic</image:title><image:caption>Geodesic grid (Icosahedral-hexagons). Image from http://kiwi.atmos.colostate.edu/BUGS/geodesic/</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/cubed-sphere-grid.jpg</image:loc><image:title>Cubed-Sphere-Grid</image:title><image:caption>Cubed Sphere grid. Image from http://dx.doi.org/10.1016/j.jcp.2005.08.027</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/lat-long-grid.jpg</image:loc><image:title>Lat-Long-Grid</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/platonic-solids1.jpg</image:loc><image:title>Platonic-solids</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/imu-logo.jpg</image:loc><image:title>IMU-Logo</image:title><image:caption>Logo of the International Mathematical Union.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/borromean-rings.png</image:loc><image:title>Borromean-Rings</image:title><image:caption>Borromean rings. Image: Wikipedia Commons.</image:caption></image:image><lastmod>2013-02-06T18:21:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/09/02/no-maths-involved/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/09/sudoku17cluepuzzle.jpg</image:loc><image:title>sudoku17cluepuzzle</image:title><image:caption>A 17 clue Sudoku puzzle</image:caption></image:image><lastmod>2013-02-06T18:16:24+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/09/14/the-beautiful-game/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/09/football-pitch.png</image:loc><image:title>Football-Pitch</image:title><image:caption>Measurements of a standard football pitch (image: Wikipedia Commons).&#13;
</image:caption></image:image><lastmod>2013-02-06T18:15:23+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/09/20/the-end-of-smallpox/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/09/daniel-bernoulli.jpg</image:loc><image:title>Daniel-Bernoulli</image:title><image:caption>Daniel Bernoulli (1700-1782).&#13;
Image: Wikipedia Commons. </image:caption></image:image><lastmod>2013-02-06T18:14:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/10/11/falling-slinky/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/slinky.jpg</image:loc><image:title>Slinky</image:title></image:image><lastmod>2013-02-06T18:12:47+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/10/25/the-popcorn-function/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/10/popcornfunction-cropped.jpg</image:loc><image:title>PopcornFunction-Cropped</image:title><image:caption>Thomae's “popcorn function” for x in (0,1).</image:caption></image:image><lastmod>2013-02-06T18:10:23+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/11/01/a-mersennery-quest/</loc><lastmod>2013-02-06T18:08:36+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/11/08/shackletons-spectacular-boat-trip/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/11/james-caird-great-circle2.png</image:loc><image:title>James-Caird-Great-Circle</image:title><image:caption>Great circle route from Elephant Island (61°S, 55°W) to South Georgia (54°S, 37°W). Distance 1320 km or about 715 nautical miles</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/11/sextant-angles.png</image:loc><image:title>Sextant-Angles</image:title><image:caption>Angles used to calculate the latitude. Alpha (α) is the altitude of the Sun measured with the sextant, delta ( ) is the latitude (declination) of the Sun, obtained from the Nautical Almanac and phi (φ) is the latitude of point P.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/11/marine-sextant1.png</image:loc><image:title>Marine-Sextant</image:title><image:caption>Schematic diagram of a marine sextant used for navigation.&#13;
Image from Wikimedia Commons.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/11/jamescairdnearingsouthgeorgia.jpg</image:loc><image:title>James Caird </image:title><image:caption>The James Caird approaching South Georgia.&#13;
Illustration from Ernest Shackleton's book, South (William Heinemann, London 1919).</image:caption></image:image><lastmod>2013-02-06T18:07:38+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/12/27/pons-asinorum/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/pons-asinorum.png</image:loc><image:title>Pons-Asinorum</image:title><image:caption>Isosceles triangle ABC and its mirror image.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/pons-asinorum-byrne.gif</image:loc><image:title>Pons-Asinorum-Byrne</image:title><image:caption>Pons Asinorum. Figure from Oliver Byrne's Elements of Euclid.</image:caption></image:image><lastmod>2013-02-06T18:06:39+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/11/15/where-in-the-world/</loc><lastmod>2013-02-06T18:05:14+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/11/22/the-root-of-infinity-its-surreal/</loc><lastmod>2013-02-06T18:04:05+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/11/29/where-circles-are-square-and-%cf%80-equals-4/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/11/taxicab-equilateral-triangle.png</image:loc><image:title>Taxicab-Equilateral-Triangle</image:title><image:caption>Figure 2: An equilateral triangle with unequal angles.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/11/taxicab-metric-circle.png</image:loc><image:title>Taxicab-Metric-Circle</image:title><image:caption>Figure 1: Distance between point A (1,5) and B (8,9) in the taxicab metric is 11 units. The square at lower right is actually a circle of radius 3 centred at D (7,3).</image:caption></image:image><lastmod>2013-02-06T18:02:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/12/06/ramanujans-lost-notebook/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/mockthetafunctions.png</image:loc><image:title>MockThetaFunctions</image:title><image:caption>Ramanujan’s sixth order mock theta functions</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/ramanujan-lost-notebook.jpg</image:loc><image:title>Ramanujan-Lost-Notebook</image:title><image:caption>The Lost Notebook and Other Unpublished Papers: Mathematical Works of Srinivasa Ramanujan. Alpha Science International Ltd, 2008</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/ramanujan-hardy.jpg</image:loc><image:title>Ramanujan-Hardy</image:title><image:caption>Left: Indian postage stamp issued in 1962, the 75th anniversary of Ramanujan's birth. RIght: G H Hardy.</image:caption></image:image><lastmod>2013-02-06T18:00:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/12/13/sharing-a-pint/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/ungula.jpg</image:loc><image:title>Ungula</image:title><image:caption>Figure 2: Cross-sections of an ungula perpendicular to (A) the x axis, (B) y axis and (C) z axis.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/beer-glass.jpg</image:loc><image:title>Beer-Glass</image:title><image:caption>Fig. !. Beer remaining after (A) Annie, (B) Barry and (C) Cathy.</image:caption></image:image><lastmod>2013-02-06T17:59:03+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/01/03/archimedes-method-uncovered/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/archimedes-palimpsest-half.jpg</image:loc><image:title>Archimedes-Palimpsest-Half</image:title><image:caption>Page of the palimpsest showing older and more recent writing in orthogonal directions
(from archimedespalimpsest.org)</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/archimedes-sphere-and-cylinder.png</image:loc><image:title>Archimedes-sphere-and-cylinder</image:title><image:caption>Sphere embedded in cylinder. The volume of the sphere is 2/3 that of the cylinder. (Image Wikimedia Commons)</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/archimedes-domenico-fetti.jpg</image:loc><image:title>Archimedes-Domenico-Fetti</image:title><image:caption>Archimedes Thoughtful. Painting by Domenico Fetti (1588–1623). Wikimedia Commons.</image:caption></image:image><lastmod>2013-02-06T17:57:16+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/01/17/topology-underground/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/tubemap-topol-inner.png</image:loc><image:title>TubeMap-Topol-Inner</image:title><image:caption>Topological map of the London Underground network</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/tubemap-topog-city.png</image:loc><image:title>TubeMap-Topog-City</image:title><image:caption>Topographical map of the London Underground network</image:caption></image:image><lastmod>2013-02-06T17:56:46+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/12/20/santas-tsp-algorithm/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/santa-and-sleigh.jpg</image:loc><image:title>Santa-and-Sleigh</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/icosian-game-2d3d.png</image:loc><image:title>Icosian-Game-2D3D</image:title><image:caption>A Hamiltonian cycle on a dodecahedron. Left: 2D projection. Right: 3D image.</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/12/tsp-usa2.gif</image:loc><image:title>TSP-usa2</image:title><image:caption>Minimum distance route through all major towns in USA.</image:caption></image:image><lastmod>2013-02-06T17:54:41+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/01/24/the-lambert-w-function/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/tweet-12.jpg</image:loc><image:title>tweet-12</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/tweet-30.jpg</image:loc><image:title>tweet-30</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/lambertw.jpg</image:loc><image:title>LambertW</image:title><image:caption>Lambert W-function w=W(z), defined as the inverse of z=wexp(w).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/lambertconicprojection.jpg</image:loc><image:title>LambertConicProjection</image:title><image:caption>Lambert conformal conic projection with standard parallels at 20N and 50N (image from Wikimedia Commons).</image:caption></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2013/01/johann-heinrich-lambert.jpg</image:loc><image:title>Johann-Heinrich-Lambert</image:title><image:caption>Johan Heinrich Lambert (1728--1777).</image:caption></image:image><lastmod>2013-02-06T17:46:52+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2013/01/30/chess-harmony/</loc><lastmod>2013-02-06T17:45:30+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/contact/</loc><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/07/book-front-cover_med.jpg</image:loc><image:title>Book-front-cover_med</image:title></image:image><image:image><image:loc>https://thatsmaths.com/wp-content/uploads/2012/07/ucd-logo.jpg</image:loc><image:title>UCD-logo</image:title></image:image><lastmod>2013-01-18T13:01:00+00:00</lastmod><changefreq>weekly</changefreq><priority>0.6</priority></url><url><loc>https://thatsmaths.com/2012/07/19/mathematics-articles-in-irish-times/</loc><lastmod>2013-01-03T22:35:42+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/07/26/the-two-cultures/</loc><lastmod>2013-01-03T22:35:07+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/08/02/google-pagerank/</loc><lastmod>2013-01-03T22:34:31+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/09/06/packing-stacking/</loc><lastmod>2013-01-03T22:31:08+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/09/20/khan-academy/</loc><lastmod>2013-01-03T22:29:03+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com/2012/10/04/contagion/</loc><lastmod>2013-01-03T22:28:15+00:00</lastmod><changefreq>monthly</changefreq></url><url><loc>https://thatsmaths.com</loc><changefreq>daily</changefreq><priority>1.0</priority><lastmod>2026-03-19T15:10:15+00:00</lastmod></url></urlset>
