Hvad er oversættelsen af " CURVES AND SURFACES " på dansk?

• kurver og overflader

Eksempler på brug af Curves and surfaces på Engelsk og deres oversættelser til Dansk

Brill also wrote on determinants, elliptic functions, special curves and surfaces.
Slethvar også skrev på determinanter, elliptisk funktioner, særlige kurver og overflader.

He worked on invariant theory, the geometry of curves and surfaces, algebraic curves and twisted curves..
Han arbejdede på invariant teori, geometri af kurver og overflader, algebraiske kurver og snoet kurver..

His writings on geometry included several important papers on parallel curves and surfaces.
Hans skrifter om geometri indgår flere vigtige papirer om parallelle kurver og overflader.

S Sasaki, Y Muto, and K Yano have developed, since 1938, the conformal theory of curves and surfaces in a conformally connected space as well as in a Riemannian space.
S Sasaki, Y Muto, og K Yano har udviklet sig, siden 1938, den conformal teori om kurver og overflader i en conformally tilsluttet rum såvel som i en Riemannian rummet.

Painlevé's first area of interest in mathematics was rational transformations of algebraic curves and surfaces.
Painlevé's første område af interesse for matematik var rationel omdannelser af algebraiske kurver og overflader.

His series of memoirs on the contact of curves and surfaces, contributed to the'Philosophical Transactions' of 1862 and subsequent years, mainly gave him his high rank as a mathematician.
Hans serie af erindringer om kontakt i kurver og overflader, bidrog til'Philosophical Transactions"i 1862 og efterfølgende år, hovedsagelig gav ham hans høj rang som en matematiker.

Jarnik and Landau studied the same problem for curves and surfaces other than circles.
Jarnik og Landau undersøgt det samme problem for kurver og overflader andre end kredse.

His time for research was now limited but he still made important contributions undertaking research on infinitesimal geometry, projective geometry and the differential geometry of curves and surfaces.
Hans tid til forskning var nu begrænset, men han stadig ydet vigtige bidrag virksomhed forskning i uendelig lille geometri, Projektiv geometri og Differentialgeometri for kurver og overflader.

In particular Le Paige studied the geometry of algebraic curves and surfaces, building on this earlier work.
Især Le Paige studeret geometri algebraiske kurver og overflader, der bygger på det tidligere arbejde.

His favourite topic was differential geometry and here he discovered many properties of particular curves and surfaces.
Hans foretrukne emne var Differentialgeometri og her er han opdagede mange ejendomme af særlig kurver og overflader.

His first book A Treatise in the Differential Geometry of Curves and Surfaces, published in 1909, was on this topic and was a development of courses he had given at Princeton for several years.
Hans første bog, en afhandling i Differentialgeometri af kurver og overflader, der blev offentliggjort i 1909, var på dette emne og var en udvikling af kurser, han havde givet på Princeton i flere år.

Finsler' doctoral dissertation was supervised by Carathéodory on Curves and surfaces in general spaces.
Finsler'ph.d. -afhandling blev overvåget af Carathéodory om kurver og overflader i almindelighed mellemrum.

The interesting series of communications on the contact of curves and surfaces which are contained in the Philosophical Transactions of 1862 and subsequent years would alone account for the high rank he obtained as a mathematician.
Det interessante række meddelelser om kontakt i kurver og overflader, der er indeholdt i den filosofiske Transaktioner i 1862 og efterfølgende år vil alene tegner sig for den høje rang han fremstillet som en matematiker.

Influenced by Cremona, Lobachevsky, Gauss and Riemann, Beltrami contributed to work in differential geometry on curves and surfaces.
Influeret af Cremona, Lobachevsky, Gauss og Riemann, Beltrami bidraget til at arbejde i Differentialgeometri om kurver og overflader.

Given Petrovsky 's expertise in differential equations, the topology of algebraic curves and surfaces and mathematical physics, it is not difficult to see his influence on the direction that Oleinik's work would take.
Da Petrovsky's ekspertise i differentialligninger, topologi af algebraiske kurver og overflader og matematisk fysik, er det ikke svært at se hans indflydelse på den retning, Oleinik arbejde ville tage.

Petrovsky's main mathematical work was on the theory of partial differential equations, the topology of algebraic curves and surfaces, and probability.
Petrovsky's vigtigste matematiske arbejde var på teorien om partielle differentialligninger, topologi af algebraiske kurver og overflader, og sandsynlighed.

Kempe, in, summarises his mathematical contributions: The interesting series of communications on the contact of curves and surfaces which are contained in the Philosophical Transactions of 1862 and subsequent years would alone account for the high rank he obtained as a mathematician.
Kempe, ind, opsummerer sine matematiske bidrag: Det interessante række meddelelser om kontakt i kurver og overflader, der er indeholdt i den filosofiske Transaktioner i 1862 og efterfølgende år vil alene tegner sig for den høje rang han fremstillet som en matematiker.

He published Neue Theorie der Elektrodynamik in 1845 and wrote various papers with applications to algebraic curves and surfaces over the next ten years.
Han offentliggjort Neue Theorie der Elektrodynamik i 1845 og skrev forskellige papirer med ansøgninger til algebraiske kurver og overflader i løbet af de næste ti år.

Petrovsky's main mathematical work was on the theory of partial differential equations, the topology of algebraic curves and surfaces, and probability. Petrovsky also worked on the boundary value problem for the heat equation and this was applied to both probability theory and work of Kolmogorov.
Petrovsky's vigtigste matematiske arbejde var på teorien om partielle differentialligninger, topologi af algebraiske kurver og overflader, og sandsynlighed. Petrovsky også arbejdet på grænse-værdi problem for varmen ligning og dette blev anvendt til både sandsynlighedsteorien og arbejde Kolmogorov.

Much of the volume is devoted to subjects to which the author has himself contributed in the last few years, particularly in the theory of families of curves and surfaces, and of small deformations.
Meget af lydstyrken er afsat til emner, som forfatteren selv har medvirket i de sidste par år, især i teorien om familier af kurver og overflader, og af små deformationer.

After his 1893 treatise he published many other texts, the most important of which are Lectures on the differential geometry of curves and surfaces(1912), Lectures introductory to the theory of functions of two complex variables(1914), Calculus of variations(1927), Geometry of four dimensions which was in two volumes and published in 1930, and Intrinsic geometry of ideal space also in two volumes, published in 1935.
Efter hans 1893 afhandling han udgivet mange andre tekster, hvoraf den vigtigste er Foredrag om Differentialgeometri for kurver og overflader(1912), foredrag indledning til den teori om funktioner af to komplekse variabler(1914), Calculus varianter(1927), Geometri af fire dimensioner, som var i to bind og offentliggjort i 1930, og egenværdi geometri ideel plads også i to bind, som blev offentliggjort i 1935.

Studied exclusively the conformal properties of a Riemannian space itself and paid only slight attention to the conformal properties of curves and surfaces immersed in a Riemannian space.
Studeret udelukkende conformal egenskaber ved et Riemannian rummet selv og udbetales kun lille opmærksomhed på conformal egenskaber af kurver og overflader nedsænkes i en Riemannian rummet.

He taught many courses at the University of Halle including: linear partial differential equations; calculus of variations; theory of elliptical functions; synthetic geometry; hydrostatics and capillarity theory; theory of space curves and surfaces; analytic mechanics; potential theory and spherical harmonics; celestial mechanics; the theory of the map projections; hydrodynamics; and the partial differential equations of mathematical physics.
Han underviste i mange kurser på universitetet i Halle herunder: lineære partielle differentialligninger; calculus varianter; teorien om elliptiske funktioner; syntetiske geometri; hydrostatics og kapillære teori; teori om rummet kurver og overflader analytisk mekanik; potentielle teori og sfæriske harmoniske; himmelsk mekanik; teorien om kortet fremskrivninger; hydrodynamics, og partielle differentialligninger af matematisk fysik.

Among the topics Sasaki contributed to over a long research career were Lie geometry of circles, conformal connections, projective connections, holonomy groups, Hermitian manifolds, geometry of tangent bundles and almost contact manifolds(now called Sasaki manifolds), global problems on curves and surfaces in various spaces.
Blandt de emner Sasaki bidraget til over en lang forskerkarriere blev Lie geometri cirkler, conformal tilslutninger, Projektiv tilslutninger, holonomy grupper, Hermitian manifolds, geometri af tangenten bundter og næsten kontakt manifolds(nu kaldet Sasaki manifolds), globale problemer på kurver og overflader i forskellige rum.

Yet I must now admit that my devotion to this one branch of mathematics has been in some degree unfortunate; for time has shown(what might perhaps have been foreseen) that the elementary algebraic methods, so effective and so admirable when applied to the simpler curves and surfaces, fail to produce results when applied to loci of higher order.
Men jeg må nu indrømme, at min hengivenhed til denne ene gren af matematik har været i en vis grad uheldigt, for tiden er vist(hvad der måske kunne have været forudset), at det elementære algebraiske metoder, så effektive og så beundringsværdig, når den anvendes til det enklere kurver og overflader, undlader at producere resultater, når det påføres loci af højere orden.

Hodge, reviewing the second volume, wrote: Much of the volume is devoted to subjects to which the author has himself contributed in the last few years, particularly in the theory of families of curves and surfaces, and of small deformations.
Hodge, revurdering andet volumen, skrev: Meget af lydstyrken er afsat til emner, som forfatteren selv har medvirket i de sidste par år, især i teorien om familier af kurver og overflader, og af små deformationer.

That this is also sufficient was proved by Schouten. writers… studied exclusively the conformal properties of a Riemannian space itself and paid only slight attention to the conformal properties of curves and surfaces immersed in a Riemannian space.
At dette også er tilstrækkelige blev dokumenteret ved Schouten. forfattere… studeret udelukkende conformal egenskaber ved et Riemannian rummet selv og udbetales kun lille opmærksomhed på conformal egenskaber af kurver og overflader nedsænkes i en Riemannian rummet.

As Crilly and Johnson write: Not only did he seek definitions of curve and surface, but also definitions of n-dimensional Cantorian manifold and hence of dimension itself.
Som Crilly og Johnson skriver: Ikke alene havde han søge definitioner af kurven og overfladevand, men også definitioner af n-dimensional Cantorian manifold og dermed dimension i sig selv.

Not only did he seek definitions of curve and surface, but also definitions of n-dimensional Cantorian manifold and hence of dimension itself.
Ikke alene havde han søge definitioner af kurven og overfladevand, men også definitioner af n-dimensional Cantorian manifold og dermed dimension i sig selv.

However she essentially gave up publishing mathematics after her treatise appeared in print, except for one notable exception which was an article on Analytic geometry, curve and surface in the 14th edition of Encyclopaedia Britannica published in 1929.
Men hun hovedsageligt opgav udgivelse matematik efter hendes afhandling udkom i print, undtagen for en bemærkelsesværdig undtagelse, der var en artikel om analytiske geometri, kurve og overflade i 14 th udgave af Encyclopaedia Britannica offentliggjort i 1929.