Search results
2 de jul. de 2024 · 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.
Hace 3 días · Adrien-Marie Legendre. The Legendre equation is the second order differential equation with a real parameter λ. \ [ \left ( 1-x^2\right) y'' -2x\,y' + \lambda\, y =0 , \qquad -1 < x < 1 . \] This equation has two regular singular points x = ±1 where the leading coefficient (1 − x ²) vanishes.
Hace 4 días · In 1783, in a paper sent to the Académie, Adrien-Marie Legendre had introduced what are now known as associated Legendre functions. If two points in a plane have polar coordinates (r, θ) and (r ', θ'), where r ' ≥ r, then, by elementary manipulation, the reciprocal of the distance between the points, d, can be written as:
Hace 4 días · In 1805 the French mathematician Adrien-Marie Legendre published the first known recommendation to use the line that minimizes the sum of the squares of these deviations—i.e., the modern least squares method.
Hace 2 días · The method was published first by Adrien-Marie Legendre in 1805, but Gauss claimed in Theoria motus (1809) that he had been using it since 1794 or 1795. In the history of statistics, this disagreement is called the "priority dispute over the discovery of the method of least squares".
1 de jul. de 2024 · Some biographies of past contributors to number theory. A glance at Paulo Ribenboim's Fermat's Last Theorem for amateurs, Franz Lemmermeyer's Reciprocity Laws and L.E. Dickson's History of the Theory of Numbers, reveals the existence of many past number theorists about whom little is known.
2 de jul. de 2024 · 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.
