Eksempler på brug af Partial differential på Engelsk og deres oversættelser til Dansk
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They are often employed in solving partial differential.
Such nonlinear partial differential equation simply do not have smooth or even C1 solutions existing after short times.
Sådanne bratte delvis differentieret ligning har simpelthen ikke glat eller endda C 1 løsninger eksisterende efter kort tid.They are often employed in solving partial differential….
De er ofte ansat til at là ̧se partielle differentialligninger.This work updates his original book Linear Partial Differential Operators(1963) which contained the results which led to his award of the Fields Medal.
Dette arbejde opdateringer hans oprindelige bog Lineær partiel Differential Operators(1963), som indeholdt de resultater, som førte til hans tildeling af Fields medaljen.At Halle Schubert taught a variety of different courses such as differential andintegral calculus, partial differential equation, and integral equations.
På Halle Schubert undervist en række forskellige kurser såsom differentierede ogintegrerende calculus, partielle differentiale ligning, og integrerende ligninger.
Folk også translate
The problem that arises is decribed in:… such nonlinear partial differential equation simply do not have smooth or even C1 solutions existing after short times.
Det problem, der opstår, er beskrevet i:… sådanne bratte delvis differentieret ligning har simpelthen ikke glat eller endda C 1 løsninger eksisterende efter kort tid.That the subject is a confederation of diverse subareas,each studying different phenomena for different nonlinear partial differential equation by utterly different methods.
At emnet er en konføderation af forskellige delområder,der hver studerer forskellige fænomener for forskellige bratte delvis differentieret ligning ved helt forskellige metoder.For example in 1948 she studied numerical solutions of a partial differential equation in On a nonlinear partial differential equation arising in the theory of filtration.
For eksempel i 1948, hun studerede numeriske løsninger af en delvis differentieret ligning på et bratte delvis differentieret ligning der opstår i teorien om filtrering.In the 1815 paper, which Pfaff submitted to the Berlin Academy on 11 May,he presented a transformation of a first-order partial differential equation into a differential system.
I 1815 papir, som Pfaff indgives til Berlin Akademi den 11 mai,han fremlagde en omdannelse af en første-ordre delvis differentieret ligning til et After five years devoted to writing a four volume monograph on linear partial differential operators, I spent the academic years 1984-86 as director of the Mittag-Leffler Institute in Stockholm.
Efter fem år afsat til at skrive en fire volumen monografi om lineære partielle differentiale operatører, jeg har tilbragt det akademiske år 1984-86 som direktør for Mittag-Leffler Instituttet i Stockholm.Phyllis Nicolson is best known for her joint work with John Crank on the heat equation, where a continuous solution u(x, t)is required which satisfies the second order partial differential equation.
Phyllis Nicolson er bedst kendt for sit samarbejde med John Skru på varmen ligning, hvor en vedvarende løsning u(x, t)er påkrævet som opfylder den anden rækkefølge delvis differentieret ligning.In this work he generalised Monge 's idea of the characteristic of a partial differential equation from second order equations to third order equations.
I dette arbejde, han generaliserede Monge's idé om den egenskab ved en delvis differentieret ligning fra anden rækkefølge ligninger til tredje ordre ligninger.John Crank is best known for his joint work with Phyllis Nicolson on the heat equation, where a continuous solution u(x, t)is required which satisfies the second order partial differential equation.
John Skru er bedst kendt for sin fælles arbejde med Phyllis Nicolson på varmen ligning, hvor en vedvarende løsning u(x, t)er påkrævet som opfylder den anden rækkefølge delvis differentieret ligning.Consideration of the Schrödinger equation leads to perturbation problems for partial differential operators, where the change may occur in the coefficients of the operator or in boundary conditions.
Behandling af Schrödingers ligning fører til forstyrrelser problemer for delvis differentieret operatører, hvor forandringer kan forekomme i koefficienterne af den erhvervsdrivende eller i randbetingelser.In this work he reduced the problem of finding all surfaces isometric to a given surface to the problem of determining all solutions to a partial differential equation of the Monge- Ampère type.
I dette arbejde, han reduceret problemet med at finde alle overflader isometric til en given overflade på problemet med fastlæggelsen af alle løsninger til en delvis differentieret ligning af Monge- Ampère type.His paper An example of a smooth linear partial differential equation without solution(1957)gave a simple partial differential equation which has no solution, a result which had a substantial impact on the area.
Hans papir Et eksempel på en smidig lineære partielle differentiale ligning uden løsning(1957)gav en enkel delvis differentieret ligning der ikke har nogen løsning, et resultat, som havde en betydelig indvirkning på området.In particular he describes how the main areas developed which are covered by his four volume text The analysis of linear partial differential operators the volumes of which appeared between 1983 and 1985.
Især han beskriver, hvordan de vigtigste områder udvikles som er omfattet af hans fire mængde tekst Analysen af lineære partielle differentiale operatører de mængder, der syntes mellem 1983 og 1985.The sources of partial differential equations are so many- physical, probalistic, geometric etc.- that the subject is a confederation of diverse subareas,each studying different phenomena for different nonlinear partial differential equation by utterly different methods.
Kilderne til partielle differentialligninger er så mange- fysiske, probalistic, geometriske osv.- at emnet er en konføderation af forskellige delområder,der hver studerer forskellige fænomener for forskellige bratte delvis differentieret ligning ved helt forskellige metoder.Seidenberg's papers on differential algebra include Some basic theorems in differential algebra(characteristic p, arbitrary)(1952) andSome basic theorems in partial differential algebra 1958.
Seidenberg's papirer om Hörmander describes in the later stages of his career:After five years devoted to writing a four volume monograph on linear partial differential operators, I spent the academic years 1984-86 as director of the Mittag-Leffler Institute in Stockholm.
Hörmander beskrives i de senere faser af hans karriere:Efter fem år afsat til at skrive en fire volumen monografi om lineære partielle differentiale operatører, jeg har tilbragt det akademiske år 1984-86 som direktør for Mittag-Leffler Instituttet i Stockholm.In a series of three significant papers in the late 1950s, Cathleen Morawetz used functional analysis coupled with ingenious new estimates for an equation of mixed type, i.e. with both elliptic and hyperbolic regions,to prove a striking new theorem for boundary value problems for partial differential equations.
I en serie på tre væsentlige papirer i slutningen af 1950'erne, Cathleen Morawetz anvendes funktionel analyse kombineret med geniale nye skøn for en ligning af blandet type, dvs med begge elliptisk og hyperbolsk regioner,at bevise en slående ny sætning for grænsen værdi problemer for delvis differentieret ligninger.Following the early work of J Moser and influenced by the work of T Aubin and R Schoen on the Yamabe problem, P. Yang andI have solved the partial differential equation of Gaussian/scalar curvatures on the sphere by studying the extremal functions for certain variation functionals.
Efter The article, nominating her for that position, describes her remarkable research achievements: In a series of three significant papers in the late 1950s, Cathleen Morawetz used functional analysis coupled with ingenious new estimates for an equation of mixed type, i.e. with both elliptic and hyperbolic regions,to prove a striking new theorem for boundary value problems for partial differential equations.
Artiklen, nomineringen af hende for denne holdning, beskriver hendes bemærkelsesværdige forsknings-resultater: I en serie på tre væsentlige papirer i slutningen af 1950'erne, Cathleen Morawetz anvendes funktionel analyse kombineret med geniale nye skøn for en ligning af blandet type, dvs med begge elliptisk og hyperbolsk regioner,at bevise en slående ny sætning for grænsen værdi problemer for delvis differentieret ligninger.After five years devoted to writing a four volume monograph on linear partial differential operators, I spent the academic years 1984-86 as director of the Mittag-Leffler Institute in Stockholm. I had only accepted a two year appointment with leave of absence from Lund since I suspected that the many administrative duties there would not agree very well with me.
Efter fem år afsat til at skrive en fire volumen monografi om lineære partielle differentiale operatører, jeg har tilbragt det akademiske år 1984-86 som direktør for Mittag-Leffler Instituttet i Stockholm. Jeg havde kun accepteret en to-årig ansættelse med orlov fra Lund da jeg formodede, at de mange administrative opgaver, der ikke ville enes rigtig godt med mig.This idea is often represented in a popular way with the painter Vincent van Gogh, who cut off his ear, and the mathematician John Nash, who developed game theory,differential geometry and partial differential equations, and later came to suffer from paranoid Schizophrenia.
Denne ide bliver ofte fremstillet populært med henvisning til kunstmaleren Vincent van Gogh, som skar sit øre af, og matematikeren John Nash, som udviklede spil-teorien,Five years before Einstein 's famous 1905 paper on Brownian Motion,in which Einstein derived the equation(the partial differential heat/diffusion equation of Fourier) governing Brownian motion and made an estimate for the size of molecules, Bachelier had worked out, for his Thesis, the distribution function for what is now known as the Wiener stochastic process(the stochastic process that underlies Brownian Motion) linking it mathematically with the diffusion equation.
Fem år før Einstein's berømte 1905 oplæg om Brownian Motion,i hvilket Einstein afledt ligningen(den delvise differentieret varme/ diffusion ligning af Fourier) for Brownian motion og gjorde et skøn for størrelsen af molekyler, Bachelier havde fungeret, for hans Thesis, fordelingen funktion for, hvad der nu er kendt som Wiener stokastiske proces(den stokastiske proces, der ligger til grund Brownian Motion) forbinder den matematisk med udbredelsen ligning.
