Examples of using Dirichlet in English and their translations into Arabic
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The Dirichlet Principle.
On a class of Dirichlet.
The Dirichlet Principle.
He then studied at Berlin with Dirichlet and Steiner.
The Dirichlet 's Principle Weierstrass.
This was an extremely important event for Dedekind who found working with Dirichlet extremely profitable.
The Dirichlet problem with Poincaré Emile Picard.
In several papers he studied the relation between thegrowth of the mean values of an entire function and that of its Dirichlet series.
Dirichlet supported his application writing that Dedekind was'an exceptional pedagogue'.
In 1843 Steiner, Jacobi and Dirichlet travelled to Rome and took Schläfli as an interpreter.
Also influenced by G H Hardy,Cramér's research resulted in the award of a PhD in 1917 for his thesis On a class of Dirichlet series.
During the 1860s Neumann wrote papers on the Dirichlet principle and the'logarithmic potential', a term he coined.
It was Dirichlet who had the greatest influence on him and Christoffel is rightly thought of as a student of Dirichlet 's.
Following the custom of that time to study at different universities,Lipschitz went from Königsberg to Berlin where he studied under Dirichlet.
Cournot remained in Paris and, along with his fellow student Dirichlet, was taught mathematics at the Sorbonne by Lacroix and Hachette.
Between 1865 and 1871 Christoffel published four important papers on potential theory,three of them dealing with the Dirichlet problem.
He also wrote on the convergence and summability of Dirichlet series and studied specific kinds of summability such as summability factors for Cesàro means.
Recalled in later years that he only knew Dedekind by sight because Dedekind alwaysarrived and left with Dirichlet and was completely eclipsed by him.
Dirichlet lectured to Carl Bjerknes in Göttingen on hydrodynamics and Bjerknes became so interested in that topic that he spent the rest of his life researching in that area.
Mertens was a number theorist whois best remembered for his elementary proof of the Dirichlet theorem which appears in most modern textbooks.
He began his investigations from a result that Dirichlet had proved in the lectures he attended, namely that a ball can move at a constant speed without the action of external forces through a frictionless fluid.
He submitted this habilitation thesis in 1901, only twoyears after his doctorate, consisted of his work on Dirichlet series, a topic in analytic number theory.
In 1921 Plessnerwent to Göttingen where he took courses on Dirichlet series and Galois theory by Edmund Landau; algebraic number fields by Emmy Noether; and calculus of variations by Courant.
His colleagues included many famous mathematicians who all contributed to his development of mathematical ideas,in particular Eisenstein, Dirichlet, Jacobi, Steiner and Borchardt.
The standard technique to solve partial differential equations used Fourier series but Cauchy,Abel and Dirichlet had all pointed out problems associated with the convergence of the Fourier series of an arbitrary function.
There he worked on number theory and he was awarded his habilitation in 1864 for a thesis on complex units which had been a topic which hehad been inspired to work on though the lectures by Dirichlet which he had attended.
In 1856 he went from Berlin to Göttingenso that he could continue to study courses by Dirichlet who had just left Berlin to succeed to Gauss 's chair in Göttingen.
What is most useful to me is the almost daily association with Dirichlet, with whom I am for the first time beginning to learn properly; he is always completely amiable towards me, and he tells me without beating about the bush what gaps I need to fill and at the same time he gives me the instructions and the means to do it.
How do Bayesians justify using conjugate priors on grounds other than mathematical convenience? In the1920s the Cambridge philosopher William Ernest Johnson in effect characterized symmetric Dirichlet priors for multinomial sampling in terms of a natural and easily assessed subjective condition.
From a Bayesian point of view, this corresponds to the expected value of the posterior distribution,using a symmetric Dirichlet distribution with parameter α as a prior distribution. In the special case where the number of categories is 2, this is equivalent to using a Beta distribution as the conjugate prior for the parameters of Binomial distribution.
