Examples of using Elliptic functions in English and their translations into Hungarian
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All three elliptic functions depend on the parameters c and e although this dependence is usually not explicitly written out.
Also worked on elliptic functions.
Jacobi's elliptic functions have found numerous applications in physics, were used by Jacobi to prove some results in elementary number theory.
We therefore see that the elliptic functions are doubly periodic.
He was to find later that he had been learning elliptic functions.
He also studied elliptic functions and integral equations.
He later learned he had been studying elliptic functions.
Puiseux also worked on elliptic functions and studied computational methods which were used to reduce astronomical data.
Calculus of variations or applications of elliptic functions.
In 1832 he demonstrated that, just as elliptic functions can be obtained by inverting elliptic integrals, so too can hyperelliptic functions be obtained by inverting hyperelliptic integrals.
He was to discover later that he had been studying elliptic functions.
Brill also wrote on determinants, elliptic functions, special curves and surfaces.
Stieltjes also contributed to ordinary and partial differential equations, the gamma function, interpolation, and elliptic functions.
Topics Plana worked on, in addition to astronomy, were integrals, elliptic functions, heat, electrostatics and geodesy.
Dedekind certainly still continued to learn mathematics at this time as a student would by attending courses,such as those by Riemann on abelian functions and 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.
MacMahon had produced tables of these for small numbers, and Ramanujan used this numerical data toconjecture some remarkable properties some of which he proved using elliptic functions.
He made an important discovery that just as elliptic functions can be obtained by inverting elliptic integrals, same way hyperelliptic functions can be obtained by inverting hyperelliptic integrals.
Galois, after reading Abel and Jacobi's work, worked on the theory of elliptic functions and abelian integrals.
MacMahon had made tables of the worth of p(n) for tiny numbers n, and Ramanujan used this numerical information to conjecture someoutstanding properties a number of that he tried exploitation elliptic functions.
After being awarded his doctorate in 1864,Thomae went to Berlin where he studied elliptic functions with Weierstrass for two terms.
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 an algebraic equation of the fifthdegree could be solved using elliptic functions.
As well as his work on the equilibrium of a floating body,Davidov also worked on partial differential equations, elliptic functions and the application of probability to statistics.
This method of inversion, and its subsequent extension by Weierstrass and Riemann to arbitrary algebraic curves, may be seen as a higher genus generalization of the relation between elliptic integrals and the Jacobi orWeierstrass elliptic functions.
Jacobian Elliptic Function Tables.
A year later he published Standard table of square roots andJacobian Elliptic Function Tables.
He came to understand the necessary methods in elliptic function theory by studying transcripts of lectures by Gudermann.