Republic of Mathematics
@republicofmath
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Mathematics of the people, for the people, by the people: encouraging mathematical happiness.
Massachusetts
Joined October 2009
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I am interested to know not IF you can solve the following problem, but HOW you solve it:
A large tap fills a bath in 14 minutes; a smaller tap fills the same bath in 35 minutes. If both taps are running how long does it take to fill the bath?
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"And once you understand something ... I mean deeply understand something, like a mathematician, you don't have to memorize anything."
@jamestanton
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Zodiac killer code cracked by Australian mathematician Samuel Blake more than 50 years after first murder
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The Infinity Set: Cantor fork, recursive spoon, Koch knife via
@Innella_M_A
http://t.co/s1ECCdPjlN
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Every positive integer is sum of 3 palindromes (in any base b >= 5)
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Student asks professor: "So what kind of math do you like?"
Professor: "Knot theory."
Student: "Yeah, me neither."
p. 276
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Mathematical communication: instead of saying "it is easy to show" just show it; instead of saying "it's obvious" show why it is obvious to you.
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Akshay Venkatesh, 2018 Fields Medallist, won medals at both International Physics Olympiad & International Mathematics Olympiad, aged 12
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Betül Tanbay of
@UniBogazici
elected Vice-President of the European Mathematical Society, from January 1, 2019
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Old, but gold: The Farey-Ford tessellation and circle packing
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"Statisticians, like artists, have the bad habit of falling in love with their models" George Box
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Topology, and not geometry, dictates the essential spatial form of cities
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"... the work of real mathematicians bears little resemblance to the manipulations and memorization of the math student"
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"We achieved something which had not been feasible for 10 years: the solution of the integral equation which describes the model of a quantum field theory. It was just incredible."
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Vale Maryam Mirzakhani. So powerful, so beautiful and so vulnerable
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Scutoids are a geometrical solution to three-dimensional packing of epithelia
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"If you love Humanities and do not like Math, the reason most likely lies on the way your teachers taught Math in the school."
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The sum of the squares of consecutive Fibonacci numbers is another Fibonacci number. Specifically,
F_n^2 + F_{n+1}^2 = F_{2n+1}
and so we have the right triangle shown below:
via
@JohnDCook
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Wow!
@JaakkoTw
Tessellations piecewise transform. Corresponding pieces are defined with order generated by inverse function of Hilbert curve.
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Cute!
@johncarlosbaez
Mathematics lets us imagine things that don't fit into the physical universe.
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Words of wisdom from the incomparable Israel Gelfand ...
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No one is born 'bad at maths'. It took me a long time to learn this lesson ~ Ranjana Srivastava
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Mathematics applies to all kinds of things. That’s one of the joys of being a mathematician.
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Mathematicians: build a wall to keep irrationals out. Make number theory great again!
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An elliptical question ...
@psmithdad
Daughter and I made a “do-nothing-machine” aka Trammel of Archimedes. What path does the handle trace?
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Wow!
Mathematics, geometry, the structure of reality, and the quest for a higher level of consciousness and precision. Source:
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Australian mathematician discovers applied geometry engraved on 3,700-year-old tablet
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Martin Hairer wins the 2021 Breakthrough prize for mathematics
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A world class mathematician explains his mathematical thinking ...
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Paul Halmos: "Mathematics is not a deductive science — that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork."
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Continued Fractions and Probability Estimations in Shor’s Algorithm: A Detailed and Self-Contained Treatise
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"An Introduction to Statistical Learning with Applications in R" & "R for Data Science" both available as free PDFs
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5 simply stated math problems no one has been able to solve yet
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Is the hypotenuse of each integer right triangle also the side-length of another integer right triangle? Yes!
via
@TamasGorbe
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Composition of two linear functions gives another linear function: f(x) = ax+b, g(x)=cx+d -> f(g(x))= acx+(ad+b). Induces operation on pairs: (a,b)*(c,d):=(ac, ad+b). G:= {(a,b): a!=0) with this operation is a non-abelian group with torsion. What more can one say about G?
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Observations on continued fractions, by Leonhard Euler
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"You want to speak with a Spaniard, you learn Spanish. You want to frolic in France, you learn French. You want to commune with the cosmos, you learn Mathematics — the language of the Universe"
via
@neiltyson
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Worried about the difference between sine and cosine? Relax, it's just a phase
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Andrew Wiles appointed first Regius Professor of Mathematics at Oxford
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How modern mathematics emerged from a lost Islamic library
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Just love this - never believe BS of state mandated tests
@AgentPenfold
This weekend I sorted through some papers my mom saved from my childhood. The top one is my 4th grade self evaluation. The bottom, my 4th grade state test score. Random House published my 6th book last week
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What if you just eliminated high school science entirely and replaced it with an extra mathematics course each year? The mathematics course would teach science but within the context of the mathematics. The more I think about it the more I like the idea.
What if you just eliminated high school math entirely and replaced it with an extra science course each year? The science course would teach math but within the context of the science. The more I think about it the more I like the idea.
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A second is defined as the time it takes an electron in a cesium-133 atom to oscillate 9,192,631,770 times.
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Ancient Indian text contains earliest zero symbol
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Australian mathematician Nalini Joshi
@monsoon0
pays a personal tribute to the life and legacy of Maryam Mirzakhani, the first female winner of the Fields Medal, who died in 2017
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Undergraduate algebra in 19th century Oxford
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Katherine Johnson, the woman who hand-calculated the trajectory for America's first trip to space, turned 100 August 26, 2018
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Teaching a university course on the mathematics of gambling
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Numbers we use to describe nature: integers -> rational numbers -> real numbers -> complex numbers -> quaternions - > octonions
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The first multiple of 20 that contains all 10 digits is 1234567890
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Double pendulum? (chaotic)
@CutTheKnotMath
Democracy's a way of making mistakes & fixing them next time (pendulum)
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If left handers form about 10% of the population and people marry randomly with regard to handedness, what is the probability that a marriage will contain at least one left hander?
@jamestanton
's area model tells us easily and clearly:
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R for Data Science by Garrett Grolemund & Hadley Wickham, available FREE as PDF & flip book Links fixed!
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"Math always involves both invention *and* discovery: we invent the concepts but discover their consequences." ~
@stevenstrogatz
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Alberto Brandolini's Bullshit Asymmetry Principle
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Talent vs Luck: the role of randomness in success and failure
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"In my opinion, null hypothesis testing and p-values have done significant harm to science."
@f2harrell
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Not without some provisos - for example 16/66 is not 1/6
Little known "fact" about base ten arithmetic: It is okay to cancel 3s, 6s, and 9s from fractions.
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A user’s guide to basic knot and link theory
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Why do mathematicians confuse Halloween and Christmas?
(I know, I know - it's corny ... but most math jokes/ riddles are corny)
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Is Graphing by Hand a Thing of the Past?
by Joseph Spinale
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Primes that remain prime when any single digit is deleted:
23, 37, 53, 73, 113, 131, 137, 173, 179, 197, 311, 317, 431, ...
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Terry Tao has a page of resources for mathematicians displaced by conflict:
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"Raindrops keep falling on my head ..." Plot of n^(fractional part of log, base n, of n!+n) versus n
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R for Data Science by Garrett Grolemund & Hadley Wickham, available FREE as PDF & flip book Creative Commons license
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The elite 1% of Americans control $30 trillion of assets, while the bottom 1/2 have more debt than assets. The 3 richest Americans have more money than the poorest 160 million of their countrymen.
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