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Hace 3 días · Polynomial solutions of Eq. (1) are conventially denoted by Pn ( x )--- with normalization condition Pn (1) = 1. Eq. (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.
Hace 2 días · His work on the motion of planetoids disturbed by large planets led to the introduction of the Gaussian gravitational constant and the method of least squares, which he had discovered before Adrien-Marie Legendre published on the method.
Hace 2 días · 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.
Hace 3 días · which is exact for polynomials of degree 2n − 1 or less. This exact rule is known as the Gauss–Legendre quadrature rule. The quadrature rule will only be an accurate approximation to the integral above if f (x) is well-approximated by a polynomial of degree 2n − 1 or less on [−1, 1].. The Gauss–Legendre quadrature rule is not typically used for integrable functions with endpoint ...
Hace 2 días · Euclid (flourished c. 300 bce, Alexandria, Egypt) was the most prominent mathematician of Greco-Roman antiquity, best known for his treatise on geometry, the Elements.. Life. Of Euclid’s life nothing is known except what the Greek philosopher Proclus (c. 410–485 ce) reports in his “summary” of famous Greek mathematicians.According to him, Euclid taught at Alexandria in the time of ...
Hace 3 días · Correspondence with Legendre. Germain engaged in an extensive correspondence with mathematician Adrien-Marie Legendre, seeking his guidance and feedback on her work. Despite initial skepticism, Legendre recognized Germain’s brilliance and became her mentor. The Sophie Germain Prime
Hace 4 días · An arduous six-year survey led by such luminaries as Jean Delambre, Jacques-Dominique Cassini, Pierre Mechain, Adrien-Marie Legendre, and others to determine the arc of the meridian from Barcelona, Spain, to Dunkirk, France, eventually yielded a value of 39.37008 inches for the new unit to be called the metre, from Greek metron ...
