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5 days ago · Eq.\eqref{Eqlegendre.1} is named after a French mathematician Adrien-Marie Legendre (1752--1833) who introduced the Legendre polynomials in 1782. Legendre's equation comes up in many physical situations involving spherical symmetry.
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1 day ago · Based on the tables by Anton Felkel and Jurij Vega, Adrien-Marie Legendre conjectured in 1797 or 1798 that π(a) is approximated by the function a / (A log a + B), where A and B are unspecified constants.
1 day ago · French mathematician Adrien-Marie Legendre proved in 1794 that π 2 is also irrational. In 1882, German mathematician Ferdinand von Lindemann proved that π is transcendental, [94] confirming a conjecture made by both Legendre and Euler.
3 days ago · Adrien-Marie Legendre (1752–1833) was the first to state the law of quadratic reciprocity. He also conjectured what amounts to the prime number theorem and Dirichlet's theorem on arithmetic progressions.
21 hours ago · Abstract. This chapter revises sets, and the sets of numbers employed in mathematics such as natural, integer, rational, irrational, real, algebraic, transcendental, imaginary, complex, quaternions and octonions. It also describes how these numbers behave in the context of three laws: commutative, associative and the distributive law.
3 days ago · A Padé approximant is the "best" approximation of a function by a rational function of given order -- under this technique, the approximant's power series agrees with the power series of the function it is approximating.
1 day ago · The Mathematics Genealogy Project is in need of funds to help pay for student help and other associated costs. If you would like to contribute, please donate online using credit card or bank transfer or mail your tax-deductible contribution to: Mathematics Genealogy Project. Department of Mathematics. North Dakota State University. P. O. Box 6050.
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