莱斯桥大学学位证购买【somewhat微aptao168】map

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1: 15.17 Mathematical Applications

… ►

§15.17(ii) Conformal Mappings

►The quotient of two solutions of (15.10.1) maps the closed upper half-plane

\Im z\geq 0

conformally onto a curvilinear triangle. …Hypergeometric functions, especially complete elliptic integrals, also play an important role in quasiconformal mapping. …

3: 4.3 Graphics

… ►

§4.3(ii) Complex Arguments: Conformal Maps

►Figure 4.3.2 illustrates the conformal mapping of the strip

-\pi<\Im z<\pi

onto the whole

w

-plane cut along the negative real axis, where

w=e^{z}

and

z=\ln w

(principal value). …Lines parallel to the real axis in the

z

-plane map onto rays in the

w

-plane, and lines parallel to the imaginary axis in the

z

-plane map onto circles centered at the origin in the

w

-plane. … ►

See accompanying text — Figure 4.3.2: Conformal mapping of exponential and logarithm. … Magnify

… ►See also About Color Map. …

These are collections of software (e.g. libraries) or interactive systems of a somewhat broad scope. Contents may be adapted from research software or may be contributed by project participants who donate their services to the project. The software is made freely available to the public, typically in source code form. While formal support of the collection may not be provided by its developers, within active projects there is often a core group who donate time to consider bug reports and make updates to the collection.

…

5: Joyce E. Conlon

… ►From 1980–85 she worked as a computer programmer for the Defense Mapping Agency. …

6: 32.16 Physical Applications

§32.16 Physical Applications

…

7: 4.29 Graphics

… ►

§4.29(ii) Complex Arguments

►The conformal mapping

w=\sinh z

is obtainable from Figure 4.15.7 by rotating both the

w

-plane and the

z

-plane through an angle

\frac{1}{2}\pi

, compare (4.28.8). …

8: 19.32 Conformal Map onto a Rectangle

§19.32 Conformal Map onto a Rectangle

… ►then

z(p)

is a Schwartz–Christoffel mapping of the open upper-half

p

-plane onto the interior of the rectangle in the

z

-plane with vertices … ►For further connections between elliptic integrals and conformal maps, see Bowman (1953, pp. 44–85).

9: 4.15 Graphics

… ►

§4.15(ii) Complex Arguments: Conformal Maps

►Figure 4.15.7 illustrates the conformal mapping of the strip

-\tfrac{1}{2}\pi<\Re z<\tfrac{1}{2}\pi

onto the whole

w

-plane cut along the real axis from

-\infty

-1

and

1

\infty

, where

w=\sin z

and

z=\operatorname{arcsin}w

(principal value). …Lines parallel to the real axis in the

z

-plane map onto ellipses in the

w

-plane with foci at

w=\pm 1

, and lines parallel to the imaginary axis in the

z

-plane map onto rectangular hyperbolas confocal with the ellipses. … ►

… ►See also About Color Map. …

10: 16.23 Mathematical Applications

… ►

§16.23(iii) Conformal Mapping

►The Bieberbach conjecture states that if

\sum_{n=0}^{\infty}a_{n}z^{n}

is a conformal map of the unit disk to any complex domain, then

|a_{n}|\leq n|a_{1}|

. …