Eksempler på brug af Hyperelliptic på Engelsk og deres oversættelser til Dansk
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Ratpoints- find rational points on hyperelliptic curves.
The thesis studied hyperelliptic and related integrals in continued fractions.
In 1890 Castelnuovo studied andclassified algebraic surfaces with hyperelliptic prime sections.
Later in his career he studied the relations between hyperelliptic theta functions, irrational binary invariants, the Weddle surface and the Kummer surface.
In 1907 Enriques andSeveri won the Prix Bordin from the French Academy of Sciences for a work on hyperelliptic surfaces.
Weierstrass published a full version of his theory of inversion of hyperelliptic integrals in his next paper Theorie der Abelschen Functionen in Crelle's Journal in 1856.
In this area he also won fame with thejoint award of the Bordin prize to him and Severi in 1907 for work on hyperelliptic surfaces.
Bolza published The elliptic s-functions considered as a special case of the hyperelliptic s-functions in 1900 which related to work he had been studying for his doctorate under Klein.
In the second of the papers Thomae also showed that the roots of a polynomial can be expressed in terms of hyperelliptic theta functions.
Since he had missed the first semester of Klein 's advanced course on hyperelliptic functions, he decided not to attend the second half of the course but instead to wait for the start of an advanced course in the next academic year.
In addition he taught some advanced courses such as elliptical functions, hyperelliptic functions, and invariant theory.
This paper did not give the full theory of inversion of hyperelliptic integrals that Weierstrass had developed but rather gave a preliminary description of his methods involving representing abelian functions as constantly converging power series.
He wrote an important text on elliptic functions in 1874 andanother important textbook on hyperelliptic integrals four years later.
In addition he taught some advanced courses such as elliptical functions, hyperelliptic functions, and invariant theory. W Lorey, who was an undergraduate at Halle at the end of Wiltheiss' career, presents this rather disturbing image of his last lecture.
In this area he also won fame with the joint award of the Bordin prize to him andSeveri in 1907 for work on hyperelliptic surfaces.
An important formula, which is still often used today,is Thomae's formula which expresses branch points of hyperelliptic curves in terms of hyperelliptic theta constants.
His mathematics, very much in the English tradition of Cayley, studied applications of algebra to geometry,elliptic functions and hyperelliptic functions.
The research which Wiltheiss carried out was mostly in the area of abelian functions,in particular studying hyperelliptic functions and theta functions.
After teaching at a gymnasium in Freiburg for a year to qualify as a teacher, he found that he couldn't give up the idea of research so easily andhe began working on hyperelliptic functions.
He thus enriched analysis andgave the complete solution of the two great questions of the transformation of hyperelliptic functions and of their complex multiplication.
As Costabel writes in: He thus enriched analysis andgave the complete solution of the two great questions of the transformation of hyperelliptic functions and of their complex multiplication.