Portal:Mathematics
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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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 ... that more than 60 scientific papers authored by mathematician Paul Erdős were published posthumously?
 ... that the mathematical infinity symbol ∞ may be derived from the Roman numerals for 1000 or for 100 million?
 ... that Ukrainian baritone Danylo Matviienko, who holds a master's degree in mathematics, appeared as Demetrius in Britten's opera A Midsummer Night's Dream at the Oper Frankfurt?
 ... that Coastal Carolina football coach Chad Staggs has degrees in math education and tourism management?
 ... that the 1914 Lubin vault fire in Philadelphia destroyed several thousand unique early silent films?
 ... that in 1940 Xu Ruiyun became the first Chinese woman to receive a PhD in mathematics?
 ... that mathematician Daniel Larsen was the youngest contributor to the New York Times crossword puzzle?
 ... that despite published scholarship to the contrary, Andrew Planta neither received a doctorate nor taught mathematics at Erlangen?
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 ...that some functions can be written as an infinite sum of trigonometric polynomials and that this sum is called the Fourier series of that function?
 ...that the identity elements for arithmetic operations make use of the only two whole numbers that are neither composites nor prime numbers, 0 and 1?
 ...that as of April 2010 only 35 even numbers have been found that are not the sum of two primes which are each in a Twin Primes pair? ref
 ...the Piphilology record (memorizing digits of Pi) is 70000 as of Mar 2015?
 ...that people are significantly slower to identify the parity of zero than other whole numbers, regardless of age, language spoken, or whether the symbol or word for zero is used?
 ...that Auction theory was successfully used in 1994 to sell FCC airwave spectrum, in a financial application of game theory?
 ...properties of Pascal's triangle have application in many fields of mathematics including combinatorics, algebra, calculus and geometry?
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The continuum hypothesis is a hypothesis, advanced by Georg Cantor, about the possible sizes of infinite sets. Cantor introduced the concept of cardinality to compare the sizes of infinite sets, and he showed that the set of integers is strictly smaller than the set of real numbers. The continuum hypothesis states the following:
 There is no set whose size is strictly between that of the integers and that of the real numbers.
Or mathematically speaking, noting that the cardinality for the integers is ("alephnull") and the cardinality of the real numbers is , the continuum hypothesis says
This is equivalent to:
The real numbers have also been called the continuum, hence the name. (Full article...)
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