Portal:Mathematics
The Mathematics Portal
Mathematics is the study of representing and reasoning about abstract objects (such as numbers, points, spaces, sets, structures, and games). Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new mathematical disciplines, such as statistics and game theory. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind. There is no clear line separating pure and applied mathematics, and practical applications for what began as pure mathematics are often discovered. (Full article...)
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Did you know (autogenerated) 
 ... that 100 years after Mary Emily Sinclair wrote a master's thesis in mathematics on the discriminants of quintic polynomials, Helaman Ferguson based a sculpture on her work?
 ... that when Ruth Stokes defended her dissertation on the theory of linear programming in 1931, she became the first person to earn a doctorate in mathematics from Duke University?
 ... that A Passage North, which is shortlisted for the 2021 Booker Prize, is set in the aftermath of the Sri Lankan Civil War?
 ... that the 1914 Lubin vault fire in Philadelphia destroyed several thousand unique early silent films?
 ... that mathematician Pamela E. Harris cofounded the online platform Lathisms to promote Hispanic and Latino American participation in mathematics?
 ... that former math teacher Dominic Gates won a Pulitzer Prize for his aerospace reporting?
 ... that a mathematics teacher became one of Kashmir's most hunted militants?
 ... that Donn Piatt threw his mathematics teacher out of the window?
More did you know –
 ...that there are 6 unsolved mathematics problems whose solutions will earn you one million US dollars each?
 ...that there are different sizes of infinite sets in set theory? More precisely, not all infinite cardinal numbers are equal?
 ...that every natural number can be written as the sum of four squares?
 ...that the largest known prime number is nearly 25 million digits long?
 ...that the set of rational numbers is equal in size to the set of integers; that is, they can be put in onetoone correspondence?
 ...that there are precisely six convex regular polytopes in four dimensions? These are analogs of the five Platonic solids known to the ancient Greeks.
 ...that it is unknown whether π and e are algebraically independent?
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Alan Turing memorial statue in Sackville Park Image credit: User:Lmno 
Alan Mathison Turing, OBE (June 23, 1912 – June 7, 1954), was an English mathematician, logician, and cryptographer.
Turing is often considered to be the father of modern computer science. Turing provided an influential formalisation of the concept of the algorithm and computation with the Turing machine, formulating the now widely accepted "Turing" version of the Church–Turing thesis, namely that any practical computing model has either the equivalent or a subset of the capabilities of a Turing machine. With the Turing test, he made a significant and characteristically provocative contribution to the debate regarding artificial intelligence: whether it will ever be possible to say that a machine is conscious and can think. He later worked at the National Physical Laboratory, creating one of the first designs for a storedprogram computer, although it was never actually built. In 1947 he moved to the University of Manchester to work, largely on software, on the Manchester Mark I then emerging as one of the world's earliest true computers.
During World War II, Turing worked at Bletchley Park, Britain's codebreaking centre, and was for a time head of Hut 8, the section responsible for German Naval cryptanalysis. He devised a number of techniques for breaking German ciphers, including the method of the bombe, an electromechanical machine which could find settings for the Enigma machine. (Full article...)
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Icon for telecommunications
Author/Creator: Original: AllenMcC. Vector: KES47, Licence: CC BYSA 3.0
Exact mathematical plot of a Lorentzian wormhole (Schwarzschild wormhole).
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Icon from Nuvola icon theme for KDE 3.x.
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Square root of x formula. Symbol of mathematics.
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 derivative work: Vaikunda Raja (talk) 09:44, 17 July 2009 (UTC)
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A view of 0.999… in rectangular perspective. Each character has a small but finite depth so that the image blends to solid black at infinity.
"The Blue Marble" is a famous photograph of the Earth taken on December 7, 1972 by the crew of the Apollo 17 spacecraft en route to the Moon at a distance of about 29,000 kilometers (18,000 statute miles). It shows Africa, Antarctica, and the Arabian Peninsula.
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if anyone is interested in the original vector/3d files you may contact en:User:Avsa.The first reflecting telescope, built by British scientist Isaac Newton in 1668. It had a 6 in. aperture and magnified 40 times
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A celestial globe made by Emery Molyneux in 1592. Such globes were the first to be made in England and the first to be made by an Englishman. The globe, and a terrestrial globe also manufactured by Molyneux, belong to Middle Temple and are displayed in its library. The caption of the image is: "The Molyneux Celestial Globe. One of a pair at Middle Temple Library. (After a photograph.)"
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Illustration of the Pythagorean theorem. The sum of two squares whose sides are the two legs (blue and red) is equal to the area of the square whose side is the hypotenuse (purple).
Typical solution of Apollonius' problem, which is to find a circle (pink) tangent to three given circles (black).
Portrait of Johannes Kepler.
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Pronunciation recording of German noun "Euler". Male voice, recorded by native German speaker from Berlin, Germany.
Eugene Paul Wigner
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Another possible illustration for Euclid's algorithm with Nicomachus' example colored in the same way as Euclid's. Derived from Heath 1908.
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Kawasaki's theorem: a singlevertex crease pattern can be flatfolded if and only if the two alternating sets of angles around the crease have the same total angle.
إختبار عالي الدقة للنسبية العامة بواسطة مسبار الفضاء كاسيني (تصور فني) يظهر تأخير إشارات الراديو المرسلة بين الأرض والمسبار (الموجة الخضراء) بانحناء الزمكان (الخطوط الزرقاء) بسبب كتلة الشمس.
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Title page of Edward Wright (1599) Certaine Errors in Navigation, arising either of the Ordinarie Erroneous Making or Vsing of the Sea Chart, Compasse, Crosse Staffe, and Tables of Declination of the Sunne, and Fixed Starres Detected and Corrected. (The Voyage of the Right Ho. George Earle of Cumberl. to the Azores, &c.), London: Printed ... [by Valentine Simmes and W. White] for Ed. Agas
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Complex adaptive system : A way of modelling a Complex Adaptive System. A system with high adaptive capacity exerts complex adaptive behavior in a changing environment.
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Recoloring and ironing out some glitches done by Rainer Klute., Licence: CCBYSA3.0Stylised atom. Blue dots are electrons, red dots are protons and black dots are neutrons.
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Pronunciation recording of German noun inflection "Johannes Kepler", IPA: /jo.ˈha.nəs ˈkɛplɐ/. Male voice, recorded by native German speaker from Berlin, Germany.
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Schematic diagram of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention is to write the area next to the arrowhead.
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Undirected, weighted graph of East Anglian Towns
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Gini coefficient diagram, based on the version by Bluemoose/BenFrantzDale. You can think of the horizontal axis as percent of people and the vertical axis as the percent of income those people receive. Therefore the Lorenz curves always start and end at the same places, where 0% of people make 0% of the country's income and 100% of people make 100% of the total income.
Inequality is implied when the curve is below the 45degree line: At the left, the percentage of people is higher than the percent of income they receive (i.e. 10% of the people getting 5% of the total income); at the right, the percent of income received rises more than the percent of people receiving it.
The area above the Lorenz curve  marked "A"  is shaded differently from the area below the curve  marked "B". This simplifies the mathematical explanation of the gini coefficient, which is A/(A+B)Author/Creator: David Vignoni / ICON KING, Licence: LGPL
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Schwarz boot on display in the German Museum of Technology Berlin
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Rubik's Cube
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A tiling of the plane by squares, shifted so that each square meets only two others edgetoedge. Keller's cubetiling conjecture (true in the plane but now known to be false in dimensions greater than eight) states that in any tiling of space by squares, cubes, or higherdimensional hypercubes, some of the tiles must meet facetoface.
Busto di Pitagora. Copia romana di originale greco. Musei Capitolini, Roma.
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