Translation of "Conformal mapping" in German

In 1986 he was awarded the Salem Prize for solving difficult problems involving the boundary behavior of the conformal mapping of a disk onto a domain with a Jordan curve boundary using stochastic methods.

After carrying out inverse transform coding of images and inverse conformal mapping, the digitized image B is reconstructed again in the second computer R 2 and displayed to a user on the second screen B 2 .

This is the conformal mapping of the section of loci from the space domain onto the conjunction of the binary logic.

After considering the problem of conformal mapping on the half-plane of finite polygonal regions bounded by straight lines and circular arcs she applied these ideas to the physical problem of the two-dimensional seepage flow of ground water in an earth dam of a particular shape.

With this object, on the one hand there is the problem that the lengths of the current and voltage contacts calculated by means of conformal mapping are less than the minimum dimensions that are possible with the technology.

This has the result that firstly the largest part of the current flows directly underneath the surface of the Hall element, typically in a layer of only one to two micrometers thickness even when the N-type well has a diffusion depth of several micrometers and, secondly the theory of conformal mapping is no longer applicable.

With such vertical Hall sensors that are obtained by conformal mapping from known geometries of lateral Hall sensors, an electrically conductive area extends vertically to the surface of a substrate into said substrate. All connection areas along one side of the electrically conductive area are situated on the surface of the substrate.

Although not giving a complete solution, Fatou's work also made a major contribution to finding a solution to the related question of whether conformal mapping of Jordan regions onto the open disc can be extended continuously to the boundary.

The final part containing chapters on the maximum principle and the distribution of values, geometric function theory and conformal mapping, and Nevanlinna theory.

It was in this work that he defined a conformal mapping of a triangle with arcs of circles as sides onto the unit disc which is now known as the 'Schwarz function'.

One important area which Schwarz worked on was that of conformal mappings .

Their approaches were very different, Radó's being via conformal mappings .

Influenced by Weyl and Eddington, Schouten investigated affine, projective and conformal mappings .

Riemann however used such functions for conformal maps (such as mapping topological triangles to the circle) in his 1859 lecture on hypergeometric functions or in his treatise on minimal surfaces.

The cross-sections of a third fictitious group of third fictitious electrodes 1c to 4c in this third fictitious plane are mathematically conformal mappings of the cross-sections of the second fictitious electrodes 1b to 4b shown in the second fictitious plane.

Only due to the fact that the end points of the cross-sections of the electrodes 1 to 4 or 1 to 8 are mathematically conformal mappings of the end-points of the cross-sections of the first fictitious electrodes 1a to 4a or 1a to 8a which are point-symmetrical in relation to the center of circle 10 in the first fictitious plane, their symmetrical electrical properties are maintained during the mathematically conformal transformation, despite the resulting asymmetrical spacial structure.

The cross-sections of the electrodes 1 to 4 in the cross-sectional plane are in turn the mathematically conformal mappings of the cross-sections of the second fictitious electrodes 1b to 4b shown in the second fictitious plane.

In all these embodiments, the cross-sections of all electrodes 1 to 4 or 1 to 8 are, mathematically, conformal mappings of a first fictitious group of non-overlapping crosssections of an equal number of first fictitious electrodes 1a to 4a or 1a to 8a transformed from a first fictitious plane into the cross-sectional plane.

His research deals with approximation of complex functions by polynomials and rational functions, approximate solutions of differential equations, Padé approximants, geometry of polynomials, special functions, Hardy spaces, conformal mappings (including numerical analysis). and potential theory (minima of energy under boundary value constraints or external fields).

His first paper On the roots of algebraic equations was published in 1921 and in the following year he published his first paper on conformal mappings.

He discovered a tensor, now called Weyl's conformal curvature tensor, whose vanishing is a necessary condition that the space be conformally flat, that is to say, that the space can be mapped conformally on the Euclidean space.

He used conformal mappings of polyhedra, applying a limit theorem to certain approximations to obtain the minimal surface required.

Some of Christoffel's early work was on conformal mappings of a simply connected region bounded by polygons onto a circle.

I had the incredible luck of hitting upon a new approach, based on conformal mappings, which, with very considerable help from Nevanlinna and Pólya, led to a proof of the full conjecture.

The changes may preferably be reproduced by transforming the coordinates of the image points to be illuminated through the use of conformal mappings.

To prove the theorem she used a new approach, applying a technique introduced by Ahlfors for conformal mappings .

These are determinants, linear algebra, algebraic equations, multivariate algebra, formal algebra, number theory, geometry, topology, convergence, theory of real functions, differential equations, differential transformations, theory of complex functions, conformal mappings, numerical analysis and miscellany.

Fejér collaborated to produce important papers, one with Carathéodory on entire functions in 1907 and another major work with Riesz in 1922 on conformal mappings .