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In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...
List of mathematical topics; List of statistical topics; List of mathematical functions; List of mathematical theorems; List of mathematical proofs; List of matrices; List of numbers; List of relativistic equations; List of small groups; Mathematical constants; Sporadic group; Table of Clebsch-Gordan coefficients; Table of derivatives; Table of ...
This list contains a few representative examples, where the result was not just incompletely proved but also hopelessly wrong. In 1933 George David Birkhoff and Waldemar Joseph Trjitzinsky published a very general theorem [ 20 ] on the asymptotics of sequences satisfying linear recurrences.
Many mathematics journals ask authors of research papers and expository articles to list subject codes from the Mathematics Subject Classification in their papers. The subject codes so listed are used by the two major reviewing databases, Mathematical Reviews and Zentralblatt MATH .
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The following list is meant to serve as a repository for compiling a list of such ideas. The idea of the Pythagoreans that all numbers can be expressed as a ratio of two whole numbers . This was disproved by one of Pythagoras ' own disciples, Hippasus , who showed that the square root of two is what we today call an irrational number .
If you've recently received an error notice from the IRS due to a "math error" -- you're not alone. According to the Taxpayer Advocate, since July 15 there have been ...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.