Examples of using Theory of surfaces in English and their translations into Danish
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On the theory of surfaces with a differential parameter.
På den teori af overflader med en differentieret parameter.He studied differential invariants and parameters in the theory of surfaces.
The theory of surfaces was the most important topic in differential geometry and.
Teorien om overflader var det vigtigste emne i Differentialgeometri og.Is a guide to differential geometry,illustrating the topics with the theory of surfaces.
Er en guide til Differentialgeometri,der illustrerer de emner med teorien om overflader.Riemann proposed the generalisation of the theory of surfaces as developed by Gauss, to spaces of any order, and introduced certain fundamental ideas in this general theory. .
Riemann foreslog generalisering af teorien om overflader, som er udviklet af Gauss, til områder af enhver orden, og der er indført visse grundlæggende idéer i denne generelle Darboux was not the only leading mathematician in Weingarten's time who was also interested in the theory of surfaces.
Darboux var ikke den eneste førende matematiker i Weingarten's tid der var også interesseret i teorien om overflader.He wrote a major text Differential geometry: Theory of surfaces which, S Funabashi, writes.
Han skrev en større tekst Differentialgeometri: Teori af overflader som, S Funabashi, skriver.Weingarten's work on the infinitesimal deformation of surfaces, undertaken around 1886,was praised by Darboux who included it in his four volume treatise on the theory of surfaces.
Weingarten's arbejde på uendelig lille deformation af His study of the fundamental curves of the system led him to investigate the theory of surfaces, a topic on which he collaborated with Enriques.
Hans undersøgelse af de grundlæggende kurver af systemet førte ham til at undersøge teorien om overflader, et emne, hvor han samarbejdede med Enriques.Famous investigations on the theory of surfaces of constant negative curvature have been carried out around the turn of the century by F Klein and H Poincaré in connection with complex function theory.
Famous undersøgelser på teorien om flader med konstant negativ krumning er blevet udført omkring århundredeskiftet ved F Klein og H Poincarés i forbindelse med komplekse funktion Euler made substantial contributions to differential geometry,investigating the theory of surfaces and curvature of surfaces. .
Euler gjort betydelige bidrag til Differentialgeometri,undersøge teorien om overflader og krumning af The theory of surfaces was the most important topic in differential geometry and:… one of its main problems was that of stating all the surfaces isometric to a given surface. .
Teorien om overflader var det vigtigste emne i Differentialgeometri og:… en af sine største problemer var med angivelse af alle Kummer's Berlin lectures, always carefully prepared, covered analytic geometry,mechanics, the theory of surfaces, and number theory. .
Kummer's Berlin foredrag, altid omhyggeligt forberedt, er omfattet analytisk geometri,mekanik, teorien om overflader, og talteori.They cover all the branches of modern geometry, from the classical theory of surfaces to the notion of non-holonomic spaces which he discovered, creating efficient methods and solving fundamental problems.
De dækker alle grene af moderne geometri, fra den klassiske teori om overflader til begrebet non-holonomic rum, hvor han opdagede, at skabe effektive metoder og løse Despite having to work as a teacher at various schools while he undertook research,his work on the theory of surfaces progressed remarkably well.
På trods af at skulle arbejde som lærer på forskellige skoler, mens han påtog forskning,hans arbejde med teorien om overflader forløbet bemærkelsesværdigt godt.Influenced by the work of Jacobi, Dirichlet and Steiner,Joachimsthal wrote on the theory of surfaces where he made substantial contributions, particularly to the problem of normals to conic sections and second degree surfaces. .
Påvirket af arbejdet i Jacobi, Dirichlet og Steiner,Joachimsthal skrev K-R Biermann writes of Kummer's teaching in Berlin in: Kummer's Berlin lectures, always carefully prepared, covered analytic geometry,mechanics, the theory of surfaces, and number theory. .
KR Biermann skriver af Kummer's undervisning i Berlin i: Kummer's Berlin foredrag, altid omhyggeligt forberedt, er omfattet analytisk geometri,mekanik, teorien om overflader, og talteori.Hopf wrote in the introduction to that paper:Famous investigations on the theory of surfaces of constant negative curvature have been carried out around the turn of the century by F Klein and H Poincaré in connection with complex function theory.
Hopf skrev i indledningen til dette papir:Famous undersøgelser på teorien om flader med konstant negativ krumning er blevet udført omkring århundredeskiftet ved F Klein og H Poincarés i forbindelse med komplekse funktion Certainly, therefore it was an exciting period during which Saks embarked on a research career andhe was awarded his doctorate in 1922 for the thesis A contribution to the theory of surfaces and plane domains.
Bestemt, derfor var det en spændende periode, hvor Saks gået i gang med en forskerkarriere, oghan fik tildelt sin doktorafhandling i 1922 for afhandlingen Et bidrag til teorien om overflader og plane domæner.The scene is set for the first of these works in:Riemann proposed the generalisation of the theory of surfaces as developed by Gauss, to spaces of any order, and introduced certain fundamental ideas in this general theory. .
Scenen er sat for den første af disse værker i:Riemann foreslog generalisering af teorien om overflader, som er udviklet af Gauss, til områder af enhver orden, og der er indført visse grundlæggende idéer i denne generelle His areas of interest in geometry included the geometry of algebraic curves,linear systems of plane curves from the point of view of birational invariants, and the theory of surfaces.
Hans områder af interesse for geometri omfattede geometri algebraiske kurver,lineære systemer af plane kurver fra et synspunkt The great mathematician, our dear colleague Zoárd Geöcze,who used to inform us here of his sensational results on the theory of surfaces, died on 26th of last month of a disease contracted at the front.
Den store matematiker, vores kære kollega Zoárd Geöcze,der bruges til at informere os her i hans sensationelle resultater på teorien om overflader, døde den 26 th af sidste måned af en sygdom indgået ved fronten.In[Algebraic Surfaces] I tried my best to present the underlying ideas of the ingenious geometric methods and proofs with which the Italian geometers were handling these deeper aspects of the whole theory of surfaces.
I[Algebraisk Flader] Jeg prøvede mit bedste for at præsentere de underliggende ideer af geniale geometriske metoder og beviser, som den italienske geometers blev håndterer disse dybere aspekter af hele teorien om overflader.In the same year he published Eichflächenprinzipien in der projektiven Flächentheorie which aims to put in place the foundations of a general projective theory of surfaces in a manner roughly corresponding to Berwald 's treatment of the Euclidean and affine case but strongly employing the methods of relative differential geometry.
I samme år han offentliggjort Eichflächenprinzipien in der projektiven Flächentheorie der har til formål at etablere grundlaget for en generel Projektiv teori om overflader på en måde, stort set svarende til Berwald's behandling af euklidisk og Affine tilfælde, men i høj grad beskæftiger de metoder relativ difference geometri.Because of the depth of this theory, the importance of its applications and the breadth of its generality,Aleksandrov comes second only to Gauss in the history of the development of the theory of surfaces.
På grund af dybden af denne In[Algebraic Surfaces] I tried my best to present the underlying ideas of the ingenious geometric methods and proofs with which the Italian geometers were handling these deeper aspects of the whole theory of surfaces… I began to feel distinctly unhappy about the rigour of the original proofs(without losing in the least my admiration for the imaginative geometric spirit that permeated these proofs); I became convinced that the whole structure must be done over again by purely algebraic methods.
I[Algebraisk Flader] Jeg prøvede mit bedste for at præsentere de underliggende ideer af geniale geometriske metoder og beviser, som den italienske geometers blev håndterer disse dybere aspekter af hele teorien om overflader… Jeg begyndte at føle sig decideret utilfreds med den stramning af det oprindelige beviser(uden at tabe i de mindst min beundring for den fantasifulde geometriske ånd, at gennemsyret disse beviser); jeg blev overbevist In 1864 he received a doctorate from the University of Halle for the same work which had won him the prize from the University of Berlin, buthe had been far from idle over the years for he had published other important work on the theory of surfaces.
I 1864 modtog han en doktorgrad fra University of Halle for samme arbejde, som havde vundet ham prisen fra universitetet i Berlin, menhan havde været langt fra tomgang i årenes løb for han havde offentliggjort andre vigtige arbejde med teorien om overflader.At the University of Berlin Joachimsthal taught courses on analytic geometry and calculus,giving more advanced courses on the theory of surfaces, the calculus of variations, statics and analytic mechanics.
Ved universitetet i Berlin Joachimsthal undervises i kurser i analytisk geometri og kalkyle,hvilket giver mere avancerede kurser The Mathematical and Physical Society met in Budapest on 7 December 1916 and Lóránd Eötvös gave a commemorative speech for Zoárd Geöcze(see for example or): The great mathematician, our dear colleague Zoárd Geöcze,who used to inform us here of his sensational results on the theory of surfaces, died on 26th of last month of a disease contracted at the front.
Den matematiske og Physical Society mødtes i Budapest den 7 december 1916 og Lóránd Eötvös gav en jubilæumsfest indlæg for Zoárd Geöcze(se f. eks eller): Den store matematiker, vores kære kollega Zoárd Geöcze,der bruges til at informere os her i hans sensationelle resultater på teorien om overflader, døde den 26 th af sidste måned af en sygdom indgået ved fronten.In the paper, applications are given by Ricci-Curbastro and Levi-Civita to the classification of the quadratic forms of differentials and there are other analytic applications;they give applications to geometry including the theory of surfaces and groups of motions; and mechanical applications including dynamics and solutions to Lagrange 's equations.
I det papir, applikationer er givet ved Ricci-Curbastro og Levi-Civita til klassifikationen af kvadratisk former for forskelle, og der er andre analytiske applikationer,de giver ansøgninger til geometri herunder teorien om overflader og grupper af beslutningsforslag; og mekaniske anvendelser, herunder dynamik og løsninger til Lagrange's ligninger.
