Examples of using Differentiable in English and their translations into Danish
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Let f(x) be a differentiable function.
Differentiable and analytic functions; Cauchy-Riemann's equations 7.
Differentiable og analytiske funktioner; Cauchy-Riemanns ligninger 7.Let f(x) be a twice differentiable function.
Lad f(x) være et to gange differentiable funktion.It gives a continuous curve which is of infinite length and nowhere differentiable.
Det giver en kontinuerlig kurve, som er af uendelig længde og intetsteds differentiable.Detailed non- differentiable powerful and practical features, superior excellence.
Detaljerede ikke differentiable kraftfulde og praktiske funktioner, overlegen ekspertise.It contains the first proper definition of a differentiable manifold.
Den indeholder de første rigtige definition af en differentiable manifold.Milnor showed that 28 different differentiable structures exist on the seven-dimensional sphere.
Milnor viste, at 28 forskellige differentiable strukturer findes på de syv-dimensionelle rum.Du Bois-Reymond published an example of a continuous function which is nowhere differentiable in 1875.
Du Bois-Reymond offentliggjort et eksempel på en kontinuerlig funktion som er intetsteds differentiable i 1875.We may ask that the function be differentiable on one-dimensional(complex) subspaces;
Vi vil muligvis bede om, at funktionen skal differentiable på én-dimensionelle(komplekse) subspaces;He later extended his methods to study the Koch curves which are continuous everywhere but nowhere differentiable.
Han senere forlænget hans metoder til at undersøge Koch kurver, som er kontinuerlig overalt, men intetsteds differentiable.Two-dimensional differentiable manifold, a covering surface, and the duality between differentials and 1-cycles.
Todimensionalt differentiable manifold, der dækker overfladen, og den dualitet mellem forskelle og 1-cyklusser.The quadratic approximation about the point(x0, y0) for a differentiable function f(x, y) is.
De anvendte prøvningsblokopbygning indbyrdes tilnærmelse på det punkt(xwhich0, y0--) for a differentiable function f(x, y) is.Her contribution Ergodic theory of differentiable dynamical systems appeared in the resulting 1995 publication presents.
Hendes bidrag Ergodic teori om differentiable dynamiske systemer dukket op i den resulterende 1995 publikation præsenterer.He also initiated the study of topological differential geometry,the study of invariant differentiable mappings.
Han har også indledt en undersøgelse af topologiske Differentialgeometri,undersøgelse af invariant differentiable tilknytninger.In this area he examined the theory of differentiable measures in infinite dimensional spaces and the theory of distributions.
På dette område han undersøgte teorien om differentiable foranstaltninger i uendelig dimensionale rum og teorien om distributioner.It is also remarkable that he gave an example of a function which is nowhere differentiable yet everywhere continuous.
Det er også bemærkelsesværdigt, at han gav et eksempel på en funktion, som er intetsteds differentiable endnu overalt løbende.Theorem: If f(x)is a twice differentiable function on some interval then the cumulative curvature between two parallel tangency points is equal to zero.
Sætning: Hvis f(x)er en to gange differentiabel funktion på nogle interval så den kumulative krumning mellem to parallelle tangency punkter er lig med nul.In 1937 Akhiezer, working with M G Krein,solved the extremal problem for the class of differentiable periodic functions.
I 1937 Akhiezer, der arbejder sammen med MG Krein,løst extremal problem for den klasse af differentiable periodiske funktioner.Her son Michail Zhitomirskii,who works on the theory of differentiable manifolds, and daughter Svetlana both became research mathematicians.
Hendes søn Michail Zhitomirskii,der virker på teorien om differentiable manifolds, og datteren Svetlana begge blev forskning matematikere.His work The invariants of quadratic differential forms(1927) is a systematic treatment of Riemann geometry while his work, written jointly with his student Henry Whitehead, The foundations of differential geometry(1933)gives the first definition of a differentiable manifold.
Hans arbejde De invariants af kvadratisk differentierede former(1927) er He published Analytic functions and classes of infinitely differentiable functions as a Rice Institute Pamphlet of 142 pages in 1942.
Han offentliggjort analyse funktioner og klasser af uendeligt differentiable funktioner som en Rice Institute Pamflet på 142 sider i 1942.One of the prettiest results in the global theory of curves is a theorem of Jacobi(1842):The spherical image of the normal directions along a closed differentiable curve in space divides the unit sphere into regions of equal area.
The transformation of his conception of an analytic function from a differentiable function to a function expansible into a convergent power series was made during this early period of Weierstrass's mathematical activity.
Omdannelsen af hans opfattelse af In McCleary describes one of Jacobi's most impressive results: One of the prettiest results in the global theory of curves is a theorem of Jacobi(1842):The spherical image of the normal directions along a closed differentiable curve in space divides the unit sphere into regions of equal area.
I Mccleary beskriver In particular he proved theorems about the embedding of an n-dimensional differentiable manifold in Euclidean space and he discovered characteristic classes at the same time as Stiefel.
Især han vist teoremer om indbygning af en n-dimensional differentiable manifold i euklidisk rum, og han opdagede karakteristiske klasser på samme tid som Stiefel.In particular he proved theorems about the embedding of an n-dimensional differentiable manifold in Euclidean space and he discovered characteristic classes at the same time as Stiefel. The term Stiefel-Whitney characteristic classes is often used today.
Især han vist teoremer om indbygning af en n-dimensional differentiable manifold i euklidisk rum, og han opdagede karakteristiske klasser på samme tid som Stiefel. Udtrykket Stiefel-Whitney karakteristiske klasser er ofte brugt i dag.The spherical image of the normal directions along a closed differentiable curve in space divides the unit sphere into regions of equal area.
Den sfæriske billede af den normale retninger langs en lukket differentiable kurve i rummet opdeler enhed kugle i regioner af samme område.For his work in nonlinear partial differential equations,his contributions to the topology of differentiable manifolds, and for his work on the complex Monge- Ampère equation on compact complex manifolds.
For hans arbejde i bratte partielle differentialligninger,hans bidrag til den topologi af differentiable manifolds, og for hans arbejde med den komplekse Monge- Ampère ligning om kompakt komplekse manifolds.The Theorem Concerning Cumulative Curvature of a Line Theorem: If f(x)is a twice differentiable function on some interval then the cumulative curvature between two parallel tangency points is equal to zero.
Den Sætning Vedrørende Kumulativ krumning af en linje Sætning: Hvis f(x)er en to gange differentiabel funktion på nogle interval så den kumulative krumning mellem to parallelle tangency punkter er lig med nul.One of the prettiest results in the global theory of curves is a theorem of Jacobi(1842):The spherical image of the normal directions along a closed differentiable curve in space divides the unit sphere into regions of equal area. The statement of this theorem is an afterthought to a paper in which Jacobi responds to the published correction by Thomas Clausen(1842) of an earlier paper by Jacobi 1836.
