ALGEBRAISKE FUNKTIONER in English translation

• algebraic functions

Examples of using Algebraiske funktioner in Danish and their translations into English

var inspireret af Klein at studere algebraisk funktion teori.
was inspired by Klein to study algebraic function theory.

Ved besvarelse af problemet om, hvornår Gauss' s hypergeometric serien var en algebraisk funktion Schwarz, som han havde gjort så mange gange,
In answering the problem of when Gauss 's hypergeometric series was an algebraic function Schwarz, as he had done so many times, developed a method

Den minimale antal p er slægten af algebraisk funktion, og dette er den første forekomst af denne grundlæggende mængde.
The minimal number p is the genus of the algebraic function, and this is the first occurrence of this fundamental quantity.

En af Weil's store resultater var hans bevis for Riemann hypotese for kongruens zeta funktioner algebraisk funktion felter.
One of Weil's major achievements was his proof of the Riemann hypothesis for the congruence zeta functions of algebraic function fields.

viste en mere generel sætning om muligheden for at opbygge lignende mekanismer for et vilkårligt algebraisk funktion.
proved a more general theorem on the possibility of constructing similar mechanisms for an arbitrary algebraic function.

divisor klasse gruppe af en algebraisk funktion område.
the divisor class group of an algebraic function field.

i 1744 blev han den første til at udtrykke en algebraisk funktion af en sådan serie, da han gav resultat.
in 1744 he was the first to express an algebraic function by such a series when he gave the result.

Hesse's vigtigste arbejde var i udviklingen af teorien om algebraiske funktioner og teorien om invariants.
Hesse's main work was in the development of the theory algebraic functions and the theory of invariants.

Lad K være et felt af algebraiske funktioner i to variabler over marken af komplekse numre.
Let K be a field of algebraic functions of two variables over the field of complex numbers.

hvor der var en Weber gør vigtige arbejde om algebraiske funktioner.
which saw Weber doing important work on algebraic functions.

integrals med integration argumenter, der er algebraiske funktioner af de oprindelige argumenter.
with integration arguments that are algebraic functions of the original arguments.

I denne bog forfatteren udvikler systematisk teorien om felter R af algebraiske funktioner af en variabel over vilkårlige felter K konstanter.
In this book the author develops systematically the theory of fields R of algebraic functions of one variable over arbitrary fields K of constants.

funktionalitet, algebraiske funktioner, transcendental funktioner, gentagelser osv.
functionality, algebraic functions, transcendental functions, iterations etc.

tabel opførelse af integrals for hundrede og otte klasser af algebraiske funktioner førte Newton til at sige.
table construction of integrals for eighteen classes of algebraic functions led Newton to say.

han underviste sine elever teorien om integration af algebraiske funktioner og calculus af sandsynlighed.
he taught his students the theory of integration of algebraic functions and the calculus of probability.

Også vigtige er Plemelj's bidrag til teorien om analytiske funktioner, som han udviklede, mens undersøgelsen problemet med uniformization af algebraiske funktioner: Han var den første til at opdage den skarpe formulering af Koebe's forvrængning teorem.
Also important are Plemelj's contributions to the theory of analytic functions which he developed while investigation the problem of uniformization of algebraic functions: He was the first to discover the sharp formulation of Koebe's distortion theorem.

Arbejdet med professor Fields på algebraiske funktioner må anses for udvikling
The work of Professor Fields on algebraic functions must be regarded as the development

tabel opførelse af integrals for hundrede og otte klasser af algebraiske funktioner førte Newton til at sige:… hvis han havde levet vi kunne have vidst noget.
table construction of integrals for eighteen classes of algebraic functions led Newton to say:… if he had lived we might have known something.

coauthor i skrivning af afhandling Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche Læren om den geometriske teori om ligninger og algebraiske funktioner.
coauthor in the writing of the treatise Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche Lessons on the geometric theory of equations and algebraic functions.

elliptisk modulære former for plan N, algebraiske funktioner, Dirichlet serien med funktionelle ligningen,
elliptic modular forms of level N, algebraic functions, Dirichlet series with functional equation,