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Mathematics & Statistics St Andrews

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1 year

Quote of the Day Vladimir Arnold (1937 - 2010) 🧵 "All mathematics is divided into three parts: cryptography (paid for by CIA, KGB and the like) hydrodynamics (supported by manufacturers of atomic submarines)...

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On this day in 1905, Albert Einstein published his analysis of Planck's quantum theory and its application to light. It was for this work that Einstein was awarded the Nobel prize for physics in 1921.

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5.VII On this day in 1687, Isaac Newton's Principia was published. "Philosophiæ Naturalis Principia Mathematica"

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11.V Quote of the Day Richard Feynman 🇺🇸 (1918 - 1988) "To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature ...

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1 year

On this day in 1686 the publication of Newton's Principia was arranged in London at the Royal Society. The minutes of the meeting record that the astronomer Edmund Halley would "undertake the business of looking after it and printing it at his own charge"

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1 year

12.V Our (first) Mathematician of the Day on Women in Maths Day is Maryam Mirzakhani 🇮🇷 the first woman to be awarded a Fields Medal. She worked in the geometry of Riemann surfaces. #WomeninMaths #May12WIM

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1 year

Quote of the Day III Grigori Perelman "'I'm not interested in money or fame, I don't want to be on display like an animal in a zoo. I'm not a hero of mathematics. I'm not even that successful; that is why I don't want to have everybody looking at me.'"

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2 years

27.X Quote of the Day Kurt Gödel (1906 - 1978) "Either mathematics is too big for the human mind or the human mind is more than a machine."

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2 years

8.I Article of the Day "Simple mathematical models with very complicated dynamics" Robert M. May #mathematicianoftheday Nature volume 261, pages 459–467 (1976)

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1 year

On this day in 1902, Bertrand Russell wrote to Gottlob Frege to say that in his Grundgesetze der Arithmetik: "... there is just one point where I have encountered a difficulty." The difficulty was the Russell Paradox.

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1 year

Programming Language of the Day Pascal #mathematicianoftheday "Pascal is an imperative and procedural programming language, designed by Niklaus Wirth..."

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1 year

Our Mathematician of the Day is Artur Ávila a Brazilian mathematician who has made deep contributions to dynamical systems theory which has transformed the subject. He has been awarded numerous prizes e.g. Fields Medal in 2014.

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1 year

13.VIII On this day in 2013, Maryam Mirzakhani [ مریم میرزاخانی ] became the first woman to be awarded a Fields Medal: "... for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces."

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1 year

9.VII Our Mathematician of the Day is Elon Lima 🇧🇷 famed as the most famous mathematics textbook writer in Portuguese. Also made important contributions in topology and was a major contributor to the Brazilian Mathematics Colloquium between 1961-1983.

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1 year

Our (second) Mathematician of the Day is John Nash was an American mathematician who won the Nobel Prize for Economics for his work in game theory. He achieved fame through the film "A Beautiful Mind".

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1 year

1.IV Breaking News: Riemann Hypothesis proved

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10 months

12.XI On this day in 1936, Alan Turing's paper "On computable numbers," in which he introduced the Turing machine, was published.

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2 years

29.I The Theorem of the Day @theoremoftheday is Noether’s Symmetry Theorem:

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1 year

Our (third) and final Mathematician of the Day is Grigori Perelman [Григорий Яковлевич Перельман] a Russian mathematician who proved the Poincaré Conjecture and who refused to accept a Fields Medal or the $1 000 000 Clay Prize.

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1 year

Space of the Day Minkowski Sapce #mathematicianoftheday

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10 months

17.XI Article of the Day Wigner, E. P. (1960). "The unreasonable effectiveness of mathematics in the natural sciences. Richard Courant lecture in mathematical sciences delivered at New York University, May 11, 1959". Communications on Pure and Applied Mathematics. 13 (1): 1–14

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2 months

5.VII On this day in 1687, Isaac Newton's Principia was published.

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1 year

On this day in 1993 Andrew Wiles announced he had proved Fermat's Last Theorem @NewtonInstitute "I think I'll stop here" @marcelanewton

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1 year

13.IV Method of the Day The Monte Carlo Method Stan Ulam #mathematicianoftheday

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1 year

2.IV On this day in 1948 Kurt Gödel had his examination to become a United States citizen. Being the diligent individual that he was, he studied the constitution carefully beforehand and felt that he had found a contradiction.

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1 year

22.IV Quote of the Day Michael Atiyah 🇱🇧🏴󠁧󠁢󠁳󠁣󠁴󠁿 (1929 - 2019) "The most useful piece of advice I would give to a mathematics student is always to suspect an impressive sounding Theorem if it does not have a special case which is both simple and non-trivial."

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1 year

21.V Book of the Day A Course In Mathematical Analysis Vol I É Goursat Translated by O. Dunkel and E. R. Hedrick (Ginn and Company, 1904)

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1 year

8.VIII Quote of the Day II Roger Penrose "Do not be afraid to skip equations (I do this frequently myself)." [Preface to "The Road to Reality", (London, 2005)]

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1 year

18.IV The Theorem of the Day @theoremoftheday is the very useful Integration By Parts:

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9 months

9.XII On this day in 1911 Henri Poincaré wrote the editor of a mathematical journal to ask if, contrary to custom, an unfinished piece of work could be published. He explained that at his age he might not be able to finish it, but that his work might provide ideas for another.

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1 year

28.V On this day in 1555, John Dee was arrested and charged with "calculating". At this time mathematics in England was considered to be equivalent to the possession of magical powers. Aubrey writes that the authorities had:

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2 years

8.II Quote of the Day John von Neumann 🇭🇺🇺🇸 (1903 - 1957) "There's no sense in being precise when you don't even know what you're talking about."

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3 years

20.XI Our Mathematician of the Day is Benoit Mandelbrot 🇵🇱🇫🇷🇺🇸 who was largely responsible for the present interest in Fractal Geometry. He showed how Fractals can occur in many different places in both Mathematics and elsewhere in Nature. @nntaleb

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9 months

28.XI Quote of the Day #QOTD Enrico Fermi (1901 - 1954) "Young man, if I could remember the names of these particles, I would have been a botanist."

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2 years

2.I Seminal Text of the Day "Mathematical Biology" JD Murray Springer Berlin, Heidelberg @SpringerMath @SpringerNature

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1 year

On this day in 1742, Leonard Euler claimed in a letter to Goldbach that prime numbers of the form 4n+ 1 are represented uniquely as a sum of two squares.

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1 year

Algorithm of the Day The Cooley–Tukey FFT algorithm #mathematicianoftheday "The Cooley–Tukey algorithm, named after J. W. Cooley and John Tukey, is the most common fast Fourier transform (FFT) algorithm."

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1 year

21.III Transform of the Day Fourier Transform #mathematicianoftheday "The Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function."

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1 year

On this day in 1637, the printing of René Descartes' "Discours de la Méthode" was completed, including its important appendix on Geometry in which he introduced the Cartesian coordinate system.

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2 years

9.XII On this day in 1911 Henri Poincaré wrote the editor of a mathematical journal to ask if, contrary to custom, an unfinished piece of work could be published. He explained that at his age he might not be able to finish it, but that his work might provide ideas for another.

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1 year

12.IX Our Mathematician of the Day is flaneur extraordinaire Nassim Nicholas Taleb @nntaleb a Lebanon-born American mathematician and statistician whose work concerns problems of randomness, probability and uncertainty.

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2 years

15.I Quote of the Day Sofia Kovalevskaya 🇷🇺🇸🇪 (1850 - 1891) "Many people who have not studied mathematics confuse it with arithmetic and consider it a dry and fruitless science. In reality, however, it is a science which requires a great amount of imagination."

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1 year

On this day in 1877, Georg Cantor wrote to to Dedekind, announcing a proof that the points inside a square are in one-to-one correspondence with those on a line segment. Three years earlier, Cantor had intimated that this was clearly impossible.

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1 year

3.VIII Article of the Day Kac, Mark (April 1966). "Can One Hear the Shape of a Drum?" American Mathematical Monthly. 73 (4, part 2), 1-23.

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1 year

21.VIII Tensor of the Day @AlainGoriely The Cauchy Stress 😬 Tensor #mathematicianoftheday

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2 years

28.IV Quote of the Day Kurt Gödel 🇦🇹🇺🇸 (1906 - 1978) "Either mathematics is too big for the human mind or the human mind is more than a machine."

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1 year

16.IV The Theorem of the Day is The Basel Problem:

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2 years

26.I On this day in 1697, Isaac Newton received Johann Bernoulli's brachistochrone problem. According to Newton's biographer Conduitt, he solved the problem in an evening after returning home from the Royal Mint. Newton:

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2 years

10.I Quote of the Day Donald Knuth 🇺🇸 (1938 - ) "The most important thing in the programming language is the name. A language will not succeed without a good name. I have recently invented a very good name and now I am looking for a suitable language."

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1 year

On this day in 1925 David Hilbert said: "No one shall expel us from the paradise which Cantor created for us," in an address to the Westphalian Mathematical Society in Münster in honour of Karl Weierstrass.

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1 year

Quote of the Day Blaise Pascal (1623 - 1662) "We are usually convinced more easily by reasons we have found ourselves than by those which have occurred to others." [Pensées (1670)]

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1 year

5.IV On this day in 1955, Bertrand Russell sent a letter to Albert Einstein with a rough draft of what would soon be known as the Russell-Einstein Manifesto

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1 year

9.III On this day in 1736. Leonard Euler received a letter from the mayor of Danzig (now Gdańsk in Poland) challenging him to solve the Königsburg Bridge Problem.

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1 year

5.V On this day in 1777, Leonhard Euler was the first to use the symbol i for √−1 in the paper "De Formulis Differentialibus Angularibus maxime irrationalibus quas tamen per logarithmos et arcus circulares integrare licet"

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2 years

13.VIII On this day in 2013, Maryam Mirzakhani became the first woman to be awarded a Fields Medal: "... for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces." @FieldsInstitute

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1 year

15.IV Formula of the Day Euler's Formula #mathematicianoftheday

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1 year

31.III On this day in 1952, Alan Turing was tried as a homosexual, offering no defence other than that he saw nothing wrong in his actions. Found guilty, he was given the alternatives of prison or oestrogen injections for a year.

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6 months

23.III Theorem of the Day II Noether's Theorem #mathematicianoftheday #MOTD "Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law."

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11 months

5.X Quote of the Day Israil Gelfand (1913 - 2009) "If you ask a drunkard what number is larger, 2/3 or 3/5, he might not be able to tell you.

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1 year

23.VIII Determinant of the Day The Wronskian #mathematicianoftheday

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1 year

30.V On this day in 1832, Évariste Galois fought a duel with Perscheux d'Herbinville, the reason for the duel not being clear. He was wounded in the duel and was abandoned by d'Herbinville and his own seconds and found by a peasant.

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1 year

21.VIII Residue Theorem of the Day Cauchy's Residue Theorem #mathematicianoftheday

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11 months

24.X On this day in 1994, Andrew Wiles submitted a paper which finally proved Fermat's Last Theorem. It was published in May 1995.

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3 years

11.III Our Mathematician of the Day is Louis Bachelier a French 🇫🇷 mathematician who is credited with being the first person to model the stochastic process now called Brownian motion. @LouisBachelier @nntaleb #FinancialMathematics

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1 year

Our Mathematician of the Day is John Tukey who introduced the Fast Fourier Transform and box plot and worked in other areas of Statistics.

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2 years

23.II Quote of the Day Carl Friedrich Gauss 🇩🇪🍺🥨 (1777 - 1855) "If others would but reflect on mathematical truths as deeply and continuously as I have, they would make my discoveries."

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1 year

24.IX Quote of the Day Raoul Bott (1923 - 2005) "There are two ways to do great mathematics. The first is to be smarter than everybody else. The second way is to be stupider than everybody else -- but persistent."

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2 years

13.VIII The Theorem of the Day @theoremoftheday is The Fundamental Theorem of Algebra:

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2 years

20.II Quote of the Day Ludwig Boltzmann 🇦🇹 (1844 - 1906) "A mathematician will recognise Cauchy, Gauss, Jacobi or Helmholtz after reading a few pages, just as musicians recognise, from the first few bars, Mozart, Beethoven or Schubert."

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1 year

Quote of the Day Maurits Escher (1898 - 1972) "The laws of mathematics are not merely human inventions or creations. They simply 'are'; they exist quite independently of the human intellect.

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10 months

17.XI On this day in 1930 Kurt Gödel's "On formally undecidable propositions of Principia Mathematica and related systems" was received for publication. It contained the result that there are true but unprovable statements in arithmetic.

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4 months

12.V Our (second) Mathematician of the Day #MOTD2 is Maryam Mirzakhani an Iranian mathematician who worked in America. She was the first woman to be awarded a Fields Medal (2014). She worked in the geometry of Riemann surfaces.

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1 year

11.III Our Mathematician of the Day is Louis Bachelier a French mathematician who is credited with being the first person to model the stochastic process now called Brownian motion (part of his doctoral thesis "Théorie de la spéculation", 1900) @nntaleb

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1 year

11.IV Seminal Landmark Breakthrough Paper of the Day Wiles, Andrew (1995). #mathematicianoftheday "Modular elliptic curves and Fermat's Last Theorem". Annals of Mathematics. 141 (3): 443–551.

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1 year

30.IV On this day in 1807, Gauss wrote to Sophie Germain for the first time since being aware she was a woman, (She had formally written using the name Monsieur LeBlanc). In a letter with much praise, he writes:

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1 year

Book of the Day 📗 "An Elementary Treatise on Differential Equations and their Applications" H.T.H. Piaggio #mathematicianoftheday 1920. (Bell’s Mathematical Series, Advanced Section.)

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8 months

28.XII Seminal Paper of the Day von Neumann, John (1966). #mathematicianoftheday #MOTD Arthur W. Burks (ed.). "Theory of Self-Reproducing Automata." Urbana and London: University of Illinois Press.

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2 years

29.IX On this day in 1801, Gauss's Disquisitiones Arithmeticae was published. Gauss was only 24 years old at that time and had written it when he was 21.

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11 months

21.X The Theorem of the Day @theoremoftheday is Noether’s Symmetry Theorem:

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7 months

15.II On this day in 1675, Isaac Newton wrote to Robert Hooke: "What Descartes did was a good step ... If I have seen further it is by standing on the sholders of Giants."

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4 months

30.IV Quote of the Day Claude Shannon (1916 - 2001) "Information is the resolution of uncertainty."

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1 year

1.IV On this day in 1975, Martin Gardner published an April's Fool hoax in Scientific American which claimed that Ramanujan had conjectured in a 1914 paper that e^π{\sqrt{163}} is an integer. In fact it is 262 537 412 640 768 743.9999999999992500 ...

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1 year

Quote of the Day Alan Turing (1912 - 1954) "A computer would deserve to be called intelligent if it could deceive a human into believing that it was human."

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1 year

9.V On this day in 1831, during a dinner to celebrate his acquittal on a charge of attempting to overthrow the government, Évariste Galois raised his glass and with an open dagger in his hand appeared to make threats against the French king, Louis-Phillipe.

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2 years

17.XII The Theorem of the Day @theoremoftheday is The Spherical Law of Cosines:

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1 year

3.IV On this day in 1753, Leonard Euler wrote to Christian Goldbach to say that he had confirmed Goldbach's conjecture that every odd integer could be written as 2n^2 + p with p a prime for the the first 2500 integers.

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1 year

Quote of the Day Alonzo Church (1903 - 1995) "I never had any mathematical conversations with anybody, because there was nobody else in my field."

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2 years

23.I Our Mathematician of the Day is David Hilbert 🇩🇪 (we could stop there...)

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2 years

28.VII On this day in 1899, Cantor asked Dedekind whether the set of all cardinal numbers is itself a set, because, if it is, it would have a cardinal number larger than any other cardinal.

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13.VIII On this day in 2013, Maryam Mirzakhani became the first woman to be awarded a Fields Medal "...for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces."

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1 year

Quote of the Day Siméon Denis Poisson 🇫🇷 (1781 - 1840) "Life is good for only two things, discovering mathematics and teaching mathematics." [ Mathematics Magazine, v. 64, no. 1, Feb. 1991. ]

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2 years

24.IX Quote of the Day Raoul Bott 🇭🇺🇺🇸 (1923 - 2005) "There are two ways to do great mathematics. The first is to be smarter than everybody else. The second way is to be stupider than everybody else -- but persistent."

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28.IV Our (first) Mathematician of the Day is Kurt Gödel who proved fundamental [ sorry - this is incomplete; full thread below 🧵]

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9 months

8.XII Matrix of the Day A Hadamard Matrix #mathematicianoftheday #MOTD "A Hadamard matrix, named after the French mathematician Jacques Hadamard, is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal."

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1 year

Quote of the Day Alan Turing (1912 - 1954) "I believe that at the end of the century the use of words and general educated opinion will have altered so much that one will be able to speak of machines thinking without expecting to be contradicted."

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2 years

17.VII Our Mathematician of the Day is Terence Tao an Australian 🇦🇺🦘🐨 mathematician who won a Fields Medal in 2006 for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory.

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10 months

26.XI Quote of the Day #QOTD Norbert Wiener (1894 - 1964) "A professor is one who can speak on any subject -- for precisely fifty minutes."

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1 year

19.IV On this day in 1760, Euler wrote the first of 263 letters to Princess Charlotte Ludovica Luisa, later collected as Letters to a German Princess. In the first letter Euler promised to produce:

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2 years

15.II Quote of the Day I Richard Feynman 🇺🇸🍔🍟 (1918 - 1988) "Physics is like sex: sure, it may give some practical results, but that's not why we do it."

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3 years

29. VI The Theorem of the Day @theoremoftheday is Jensen’s Inequality: @nntaleb #antifragility

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