The medium performs an optical conformal mapping to empty space.

However, it is not always easy to construct a conformal mapping between two given domains in an explicit way.

Such a transformation is the most general form of conformal mapping of a domain.

Boundary element approaches to improperly- posed problems and conformal mapping.

The conformal mapping section below explains the geometric properties of this map in more detail.

Conformal mappings have applications in mesh generation, map projection, and other areas.

Can you imagine what the design of airplane wings would have been without knowledge of conformal mappings?

His main contributions relate to conformal mappings and partial differential equations.

Conformal mapping is a powerful technique for solving two dimensional problems in hydrodynamics.

A conformal mapping projection with minimum scale error.

The rules of topology here seem to allow a wide range of flexible conformal mappings.

He then wrote a theoretical study entitled "Optical Conformal Mapping".

Conformal mappings and the solution of the Dirichlet problem in general regions of the plane.

Conformal mapping with applications in fluid flow.

A mathematically sound boundary element formulation for conformal mapping was then developed and its accuracy demonstrated.

Potential flow in two dimensions is simple to analyze using conformal mapping, by the use of transformations of the complex plane.

This reduced the complexity of the airflow to a conformal mapping in the complex plane, and was used for some time in the industry.

It plays an important role in the theory of univalent functions, conformal mapping and Teichmüller spaces.

Complex analysis, in particular the theory of conformal mappings, has many physical applications and is also used throughout analytic number theory.

Finally, we shall study conformal mappings and how they are used to solve boundary-value problems for Laplace's equation.

This is true for all coordinate systems where the transformation to Cartesian coordinates is given by a conformal mapping.

No of lectures: Syllabus 7 Applications of conformal mapping.

Mapps A Theoretical analysis of shielded magnetoresistive heads by conformal mapping.

In 1980 he solved the Visser-Ostrowski problem for derivatives of conformal mappings at the boundary.

This theorem severely limits the variety of possible conformal mappings in R and higher-dimensional spaces.