Examples of using Theory of equations in English and their translations into Danish
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Viète made many improvements in the theory of equations.
This theory of equations in total differentials is undoubtedly Pfaff's most significant contribution.
Denne teori om ligninger i alt forskelle er utvivlsomt Pfaff's mest betydningsfulde bidrag.Hudde worked on maxima and minima and the theory of equations.
Hudde arbejdet på maxima og minima og teorien om ligninger.He began to study the Galois theory of equations and from there he was led to study compostion series of groups.
Han begyndte at studere Galois teori om ligninger og derfra blev han ført til undersøgelse compostion række grupper.Made myself acquainted with newer works,particularly in the theory of equations.
Gjort mig bekendt med nyere værker,især i teorien om ligninger.Meditationes Algebraicae, covering the theory of equations and number theory, appeared in 1770 with an expanded version in 1782.
Meditationes Algebraicae, der dækker teorien om ligninger og talteori, udkom i 1770 med en udvidet version i 1782.However he made many contributions to number theory and to the theory of equations.
Men han gjort mange bidrag til talteori og til teorien om ligninger.This theory of equations in total differentials is undoubtedly Pfaff's most significant contribution. Wussing writes in that this work by Pfaff.
Denne teori om ligninger i alt forskelle er utvivlsomt Pfaff's mest betydningsfulde bidrag. Wussing skriver i, at dette arbejde ved Pfaff.In the field of mathematics he worked on probability,recurring decimals and the theory of equations.
På området for matematik arbejdede han på sandsynlighed,tilbagevendende decimaler og teorien om ligninger.In 1799 Ruffini published a book on the theory of equations with his claim that quintics could not be solved by radicals as the title shows.
I 1799 Ruffini udgivet en bog He introduced a simplified notation for algebra andhis fundamental research on the theory of equations was far ahead of its time.
Han indførte et forenklet notation for algebra oghans grundlæggende forskning på teorien om ligninger var langt forud for sin tid.General theory of equations in which it is shown that the algebraic solution of the general equation of degree greater than four is impossible.
Generel teori om ligninger, hvori det påvises, at den algebraiske løsning af den generelle We shall comment further below on this important work,covering topics in the theory of equations, number theory and geometry.
Vi vil kommentere yderligere nedenfor These and further papers published by Bézout in the theory of equations were gathered together in Théorie générale des équations algébraiques which was published in 1779.
Disse og yderligere papirer offentliggjort af Bézout i teorien om ligninger blev samlet i Théorie générale des équations algébraiques som blev offentliggjort i 1779.He says, in the report he wrote at the end of the scholarship, that he also: made myself acquainted with newer works,particularly in the theory of equations.
Han siger i den betænkning, han skrev i slutningen af legatet, at han også: gjort mig bekendt med nyere værker,især i teorien om ligninger.From its true emergence,algebra can be seen as a theory of equations solved by means of radicals, and of algebraic calculations on related expressions.
Fra sin sande opstår,algebra kan ses som en teori om ligninger løses ved hjælp af radikaler, og algebraiske beregninger på lignende udtryk.Lie had started examining partial differential equations, hoping that he could find a theory which was analogous to the Galois theory of equations.
Lie var begyndt at undersøge partielle differentialligninger, håbende athan kunne finde en Galois sent Cauchy further work on the theory of equations, but then learned from Bulletin de Férussac of a posthumous article by Abel which overlapped with a part of his work.
Galois sendt Cauchy videre arbejde med teorien om ligninger, men så lært af bulletin de Férussac af en posthum artikel af Abel som overlappede en del af hans arbejde.Libri's early work was on mathematical physics, particularly the theory of heat.However he made many contributions to number theory and to the theory of equations.
Skrift's tidlige arbejder var på matematisk fysik, især In his final year of study he wrote a paper on the theory of equations and Bézout 's theorem, and this was of such quality that he was allowed to graduate in 1800 without taking the final examination.
I hans sidste studieår skrev han et oplæg The book was the Second Part of Arithmetic, The Grounde of Artes being the first,covering the extraction of roots, the theory of equations and arithmetic with surds.
Bogen var den anden del af Aritmetik, The Grounde af Artes være den første,der omfatter udvinding af rødder, teorien om ligninger og regne med surds.We have already indicated that Kronecker's primary contributions were in the theory of equations and higher algebra, with his major contributions in elliptic functions, the theory of algebraic equations, and the theory of algebraic numbers.
Vi har allerede tilkendegivet, at Kroneckers's primære bidrag var i teorien om ligninger og højere algebra, med hans væsentlige bidrag i elliptisk funktioner, teorien om algebraiske ligninger, og His interests in research relate to finite geometries and the group theory related to them, andto Cremona transformations related to the Galois theory of equations.
Hans interesser inden for forskning vedrører finite geometries og gruppen His first paper on the theory of equations Sur plusieurs classes d'équations de tous les degrés qui admettent une solution algébrique examined how a single equation in a single unknown could be attacked by writing it as two equations in two unknowns.
Hans første oplæg A little-known consequence of these disputes is that Liouville made his famous announcement of Evariste Galois 's important work on the theory of equations in response to an attack by Libri in 1843.
En lidet kendt konsekvens af disse tvister er, at Liouville gjort sin berømte annonceringen af Evariste Galois' s vigtige arbejde på teorien om ligninger som reaktion på et angreb ved Skrift i 1843.Galois sent Cauchy further work on the theory of equations, but then learned from Bulletin de Férussac of a posthumous article by Abel which overlapped with a part of his work. Galois then took Cauchy 's advice and submitted a new article On the condition that an equation be soluble by radicals in February 1830.
Galois sendt Cauchy videre arbejde med teorien om ligninger, men så lært af bulletin de Férussac af en posthum artikel af Abel som overlappede en del af hans arbejde. Galois derefter tog Cauchy's råd og forelagde en ny artikel, på betingelse af, at en ligning være opløseligt ved radikaler i februar 1830.A further work Miscellanea Analytica appeared in 1776 with a new expanded edition in 1785. Meditationes Algebraicae,covering the theory of equations and number theory, appeared in 1770 with an expanded version in 1782.
En yderligere arbejde Miscellanea Analytica udkom i 1776 med en ny udvidet udgave i 1785. Meditationes Algebraicae,der dækker teorien om ligninger og talteori, udkom i 1770 med en udvidet version i 1782.In 1799 Ruffini published a book on the theory of equations with his claim that quintics could not be solved by radicals as the title shows: General theory of equations in which it is shown that the algebraic solution of the general equation of degree greater than four is impossible. The introduction to the book begins.
I 1799 Ruffini udgivet en bog As Rice points out in:A little-known consequence of these disputes is that Liouville made his famous announcement of Evariste Galois 's important work on the theory of equations in response to an attack by Libri in 1843.
Som Rice påpeger i:En lidet kendt konsekvens af disse tvister er, at Liouville gjort sin berømte annonceringen af Evariste Galois' s vigtige arbejde på teorien om ligninger som reaktion på et angreb ved Skrift i 1843.In 1799 Ruffini published a book on the theory of equations with his claim that quintics could not be solved by radicals as the title shows: General theory of equations in which it is shown that the algebraic solution of the general equation of degree greater than four is impossible. The introduction to the book begins: The algebraic solution of general equations of degree greater than four is always impossible.
I 1799 Ruffini udgivet en bog 
