Examples of using Elliptic functions in English and their translations into Arabic
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Greenhill's work was mainly on elliptic functions.
Elliptic Functions According to Eisenstein and Kronecker.
Between 1859 and 1875 Bouquet worked on elliptic functions.
Puiseux also worked on elliptic functions and studied computational methods which were used to reduce astronomical data.
In 1922 he headed a team preparing a table of elliptic functions.
At first working on elliptic functions in the tradition of Abel and Jacobi, inspired by the professor of pure mathematics Ole Jacob Broch.
Calculus of variations or applications of elliptic functions.
He wrote an important text on elliptic functions in 1874 and another important textbook on hyperelliptic integrals four years later.
He also published papers on the theory of functions, concentrating on elliptic functions.
Zolotarev emphasised the relationship between elliptic functions and functions of a complex variable.
Stieltjes also contributed to ordinary and partial differential equations, the gamma function,interpolation, and elliptic functions. .
Weil's most famous books include Foundations of Algebraic Geometry(1946) and Elliptic Functions According to Eisenstein and Kronecker(1976).
He did study mathematics on his own, however,reading Laplace 's Mécanique céleste and then a work by Jacobi on elliptic functions.
There he attended lectures by Dehn on topology, Hellinger on elliptic functions, Siegel on calculus and Szász.
The paper looks at both the published work of Zolotarev, and also manuscripts preservedin libraries in Moscow and St Petersburg, relating to his work on elliptic functions.
His early work musthave been influenced by Weierstrass 's lectures on elliptic functions, for this was the topic of much of his early research.
Dedekind certainly still continued to learn mathematics at this time as a studentwould by attending courses, such as those by Riemann on abelian functions and elliptic functions. .
This was the first course that Weierstrass gave on elliptic functions and Königsberger's publication in 1917 was of considerable historical importance.
Although an algebraic equation of the fifth degree cannot be solved in radicals, a result which was proved by Ruffini and Abel, Hermite showed in 1858 that analgebraic equation of the fifth degree could be solved using elliptic functions.
At Weierstrass's request he was given a question on thepaper he received in May 1840 on the representation of elliptic functions and he presented his own important research as an answer.
In fact he attended Weierstrass 's lectures on the theory of elliptic functions(which was Weierstrass 's main research topic) and many years later published his account of these lectures.
Christoph Gudermann(25 March 1798- 25 September 1852) was a German mathematician noted for introducing the Gudermannian function and the concept of uniform convergence, and for being the teacher of Karl Weierstrass,who was greatly influenced by Gudermann's course on elliptic functions in 1839- 1840, the first such course to be taught in any institute.
Jacobian Elliptic Function Tables.
He came to understand the necessary methods in elliptic function theory by studying transcripts of lectures by Gudermann.
The theory of elliptic and Jacobi functions.
Excellent teaching function to support array, graphical browsing, three dimensional elliptic, common graphical library inserting, group editing and so on.
Schauder's fixed point theorem and his skillful use of function space techniques to analyse elliptic and hyperbolic partial differential equations are contributions of lasting quality.
At this time he obtained a result that is particularly associated with his name, when(inspired by Mordell and Davenport)he proved the analogue of the Riemann Hypothesis for zeta functions of elliptic curves.
Luigi Amerio(15 August 1912- 28 September 2004), was an Italian electrical engineer and mathematician.He is known for his work on almost periodic functions, on Laplace transforms in one and several dimensions, and on the theory of elliptic partial differential equations.
Definition==Formally, an elliptic function is a function formula_1 meromorphic on formula_2 for which there exist two non-zero complex numbers formula_3 and formula_4 with formula_5 (in other words, not parallel), such that formula_6 and formula_7 for all formula_8.