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Conform: a conformal mapping system [PDF]
Proceedings of the fifth ACM symposium on Symbolic and algebraic computation - SYMSAC '86, 1986 Conform consists of a collection of LISP routines that permit the real time manipulation and display of conformal mappings of one complex plane onto another.
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Science, 2006
An invisibility device should guide light around an object as if nothing were there, regardless of where the light comes from. Ideal invisibility devices are impossible, owing to the wave nature of light. This study develops a general recipe for the design of media that create perfect invisibility within the accuracy of geometrical optics.
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An invisibility device should guide light around an object as if nothing were there, regardless of where the light comes from. Ideal invisibility devices are impossible, owing to the wave nature of light. This study develops a general recipe for the design of media that create perfect invisibility within the accuracy of geometrical optics.
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Conformal and quasi-conformal mappings
2016In this short section we shall introduce a class of mappings in \(\mathbb{C} \;\mathrm{and}\; \mathbb{B}\) named after the German mathematician AUGUST FERDINAND MOBIUS (1790–1868). In \(\it C l(n)\) this is also possible, but it is a bit more difficult, the reader is referred to our book [118].
Wolfgang Sprößig +2 more
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1993
Mapping techniques are mathematical methods which are frequently applied for solving fluid flow problems in the interior involving bodies of nonregular shape. Since the advent of supercomputers such techniques have become quite important in the context of numerical grid generation [1] .
L. Jaschke, H. J. Halin
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Mapping techniques are mathematical methods which are frequently applied for solving fluid flow problems in the interior involving bodies of nonregular shape. Since the advent of supercomputers such techniques have become quite important in the context of numerical grid generation [1] .
L. Jaschke, H. J. Halin
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2017
In this chapter, we first give a brief overview of the classical theory of quasiconformal mappings in the complex plane and then we explain how to extend it in general metric spaces (under geometric assumptions). Applications to complex dynamics and to (complex) hyperbolic geometry are also discussed.
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In this chapter, we first give a brief overview of the classical theory of quasiconformal mappings in the complex plane and then we explain how to extend it in general metric spaces (under geometric assumptions). Applications to complex dynamics and to (complex) hyperbolic geometry are also discussed.
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1992
Publisher Summary This chapter describes conformal mappings applicable to Laplace's equation in two dimensions. It yields a reformulation of the original problem. Laplace's equation in two dimensions with a given boundary can be transformed to Laplace's equation with a different boundary by a conformal map.
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Publisher Summary This chapter describes conformal mappings applicable to Laplace's equation in two dimensions. It yields a reformulation of the original problem. Laplace's equation in two dimensions with a given boundary can be transformed to Laplace's equation with a different boundary by a conformal map.
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Introduction to Conformal Mappings
2017In this chapter we present briefly some results of complex analysis which are useful for our theory.
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1958
In this chapter we develop a number of standard canonical conformal mappings for domains of planar type and finite connectivity, giving at the end also some indications in the case of infinite connectivity. The method employs certain extremal properties of the canonical configurations together with compactness properties of the families of functions ...
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In this chapter we develop a number of standard canonical conformal mappings for domains of planar type and finite connectivity, giving at the end also some indications in the case of infinite connectivity. The method employs certain extremal properties of the canonical configurations together with compactness properties of the families of functions ...
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