Examples of using Elliptic functions in English and their translations into Tagalog
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Greenhill's work was mainly on elliptic functions.
He also studied elliptic functions and integral equations.
His habilitation thesis was on modular elliptic functions.
The chief problem in using elliptic functions has always been the lack of suitable numerical tables.
Calculus of variations or applications of elliptic functions.
Puiseux also worked on elliptic functions and studied computational methods which were used to reduce astronomical data.
In Berlin, Abel borrowed some money andcontinued working on elliptic functions.
Zolotarev emphasised the relationship between elliptic functions and functions of a complex variable.
In it Vályi followed his old master Weierstrass and included the theory of elliptic functions.
Mittag-Leffler attended Hermite 's lectures on elliptic functions but found them hard going.
Hermite made important contributions to number theory and algebra,orthogonal polynomials, and elliptic functions.
Further applications of these methods to the arithmetic properties of elliptic functions, transcendence measures and algebraic independence are also given.
He also published papers on the theory of functions, concentrating on elliptic functions.
This was on the strength of some excellent mathematical papers on the calculation of elliptic functions, the first of which was The geometry of the elliptic equation which he published in 1858.
In Zurich he attended his first course on advanced mathematics,a course by Hurwitz on elliptic functions.
His nine books cover a wide range of mathematical topics such as elliptic functions, tessellations(Noneuclidean tessellations and their groups(1974)), combinatorial group theory(a major work Combinatorial group theory(1966) written jointly with A Karrass and D Solitar) and mathematical physics.
There he attended lectures by Dehn on topology,Hellinger on elliptic functions, Siegel on calculus and Szász.
Abel quickly showed that Jacobi 's results were consequences of his own andadded a note to this effect to the second part of his major work on elliptic functions.
Topics Plana worked on, in addition to astronomy,were integrals, elliptic functions, heat, electrostatics and geodesy.
Stieltjes also contributed to ordinary and partial differential equations, the gamma function, interpolation, and elliptic functions.
Galois, after reading Abel and Jacobi 's work,worked on the theory of elliptic functions and abelian integrals.
In 1854 Betti showed that the quintic equation could be solved in terms of integrals resulting in elliptic functions.
His mathematical work included algebra, algebraic geometry,synthetic geometry, elliptic functions and the theory of convergence.
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 fifth degree could be solved using elliptic functions.
He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.
Jacob Bernoulli had solved this for an isosceles triangle while, after Malfatti, the problem was also solved by Steiner and Clebsch,the latter solving it using elliptic functions.
At Weierstrass's request he was given a question on the paper he received in May 1840 on the representation of elliptic functions and he presented his own important research as an answer.
On the mathematical side, coming out of his work for the Coast Survey,we mention that he was interested in conformal map projections where he invented a quincuncial map projection using elliptic functions.
Known as the father of modern analysis, Weierstrass devised tests for the convergence of series and contributed to the theory of periodic functions, functions of real variables, elliptic functions, Abelian functions, converging infinite products, and the calculus of variations.
There a number of mathematics books were published including one by Faà di Bruno himself on elliptic functions.