Results 301 to 310 of about 90,774 (312)
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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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1964
Publisher Summary This chapter describes conformal mappings. It considers the function w = f(z) to be single-valued and continuous in some neighborhood of a (finite) point z0 at which f(z) is differentiable, with f′´(z0) ≠ 0. Suppose f′´(z0) = Aeiα, where α = arg f´ (z0), and let z = z0 + Δz be a neighboring point, where Δz = Δr. eiO ≠ 0.
B.V. Shabat, B.A. Fuchs
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Publisher Summary This chapter describes conformal mappings. It considers the function w = f(z) to be single-valued and continuous in some neighborhood of a (finite) point z0 at which f(z) is differentiable, with f′´(z0) ≠ 0. Suppose f′´(z0) = Aeiα, where α = arg f´ (z0), and let z = z0 + Δz be a neighboring point, where Δz = Δr. eiO ≠ 0.
B.V. Shabat, B.A. Fuchs
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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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1972
Publisher Summary This chapter discusses the concept of conformal mapping. A simple, but important, type of conformal mapping is called linear fractional transformation. Any linear fractional transformation is a composition of four special types of such transformations: translation, rotation, magnification, and inversion.
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Publisher Summary This chapter discusses the concept of conformal mapping. A simple, but important, type of conformal mapping is called linear fractional transformation. Any linear fractional transformation is a composition of four special types of such transformations: translation, rotation, magnification, and inversion.
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A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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