Eksempler på brug af Calculus of variations på Engelsk og deres oversættelser til Dansk
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And how it relates to the calculus of variations?
Og hvordan relaterer det til variationsregning?Calculus of variations or applications of elliptic functions.
Calculus af variationer eller anvendelser Good. And how it relates to the calculus of variations?
Godt. Og hvordan relaterer det til variationsregning?The calculus of variations is another area in which Euler made fundamental discoveries.
De calculus varianter er et andet område, hvor Euler gjort grundlæggende opdagelser.However, he worked on the calculus of variations from 1901.
Shnirelman made significant contributions to topological methods in the calculus of variations.
Shnirelman gjort betydelige bidrag til topologiske metoder i calculus variationer.In 1969 Young published Lectures on the calculus of variations and optimal control theory.
His doctorate in 1911 was directed by Kneser andhis thesis studied the calculus of variations.
Hans doktorafhandling i 1911 blev instrueret af Kneser oghans afhandling studeret calculus variationer.He also made important contributions to the calculus of variations, developing ideas of Weierstrass.
Han har også ydet et vigtigt bidrag til calculus varianter, udvikle idéer Weierstrass.He used Newton-like iterations to solve the generalized Euler-Lagrange equation of the calculus of variations.
Han brugte Newton-lignende gentagelser at løse de generelle Euler-Lagrange ligning af calculus variationer.The book is an important contribution to the calculus of variations and optimal control theory.
Bogen er et vigtigt bidrag til calculus varianter og optimal kontrol teori.Radon applied the calculus of variations to differential geometry which led to applications in number theory.
Radon anvendt calculus af ændringer Differentialgeometri, der førte til ansøgninger i talteori.The second main area of his work was the calculus of variations.
Det andet hovedpunkt i hans arbejde var calculus variationer.Before leaving Lectures on the calculus of variations and optimal control theory let us note that Hestenes gives this assessment.
Før forlader Foredrag om calculus varianter og optimal kontrol teori lad os konstatere, at Hestenes giver denne vurdering.This work was followed by one on the calculus of variations in 1803.
Dette arbejde blev fulgt op Two further papers by him on the calculus of variations appeared in 1904, both in the Transactions of the American Mathematical Society.
To yderligere papirer af ham på calculus varianter dukkede op i 1904, både i de transaktioner af den amerikanske Mathematical Society.Published in 1740 began the proper study of the calculus of variations.
Offentliggjort i 1740 begyndte den egentlige undersøgelse af calculus variationer.He published his beautiful results on the calculus of variations, and a short work on the calculus of probabilities.
Han offentliggjorde sine smukke resultater på calculus varianter, og et kort arbejde om beregning af sandsynligheder.In 1756 Lagrange sent Euler results that he had obtained on applying the calculus of variations to mechanics.
I 1756 Lagrange sendt Euler resultater, som han havde fået om at anvende calculus af ændringer mekanik.Bliss's main work was on the calculus of variations and he produced a major book, Lectures on the Calculus of Variations, on the topic in 1946.
Mayer worked on differential equations, the calculus of variations and mechanics.
Mayer arbejdet på differentialligninger, calculus af varianter og mekanik.His initial mathematical interests were in the theory of real functions which he was taught by Carathéodory who also taught him the calculus of variations.
Hans første matematiske interesser var i teorien om reelle funktioner, som han blev undervist af Carathéodory der også lært ham calculus variationer.There he taught courses on advanced algebra, the calculus of variations, mechanics, Fourier series, and synthetic geometry.
Der han underviste kurser på avanceret algebra, calculus varianter, mekanik, Fourier serier, og syntetisk geometri.He published a series of fundamental papers on partial differential equations and the calculus of variations.
Han offentliggjort en række grundlæggende papirer om partielle differentialligninger og calculus variationer.His text Lectures on the Calculus of Variations published by the University of Chicago Press in 1904, became a classic in its field and was republished in 1961.
Hans tekster Foredrag om Calculus varianter offentliggjort af University of Chicago Press i 1904, blev en klassiker i sit felt og blev genudgives i 1961.However mathematics was his real love and, in 1898,he began his doctoral studies working on the calculus of variations.
Men matematik var hans ægte kærlighed, og i 1898,begyndte han sin ph.d. -studier arbejder på calculus variationer.Carathéodory made significant contributions to the calculus of variations, the theory of point set measure, and the theory of functions of a real variable.
Carathéodory gjort betydelige bidrag til calculus varianter, teorien om punkt sæt foranstaltning, og den teori af funktioner af en reel variabel.He added important results to the relationship between first order partial differential equations and the calculus of variations.
Han tilføjede vigtige resultater for forholdet mellem første ordre partielle differentialligninger og calculus variationer.He attended Weierstrass 's 1879 lecture course on the calculus of variations which was to have a lasting effect on the direction that Bolza's mathematical interests would take.
Han deltog Weierstrass' s 1879 forelæsning kursus om calculus varianter som skulle have en varig virkning på den retning, Bolza's matematiske interesser ville tage.He then entered the University of Vienna where he was awarded a doctorate in 1910 for a dissertation on the calculus of variations.
Han kom ind på universitetet i Wien, hvor han blev tildelt en doktorgrad i 1910 for en afhandling om calculus variationer.
