克拉斯诺亚尔斯克国立师范大学学历认证办理【假证加微aptao168】mAp

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23: Philip J. Davis

… ►The surface color map can be changed from height-based to phase-based for complex valued functions, and density plots can be generated through strategic scaling. …

24: 1.16 Distributions

… ►A mapping

\Lambda:\mathcal{D}(I)\rightarrow\mathbb{C}

is a linear functional if ►

1.16.1

\Lambda(\alpha_{1}\phi_{1}+\alpha_{2}\phi_{2})=\alpha_{1}\Lambda(\phi_{1})+% \alpha_{2}\Lambda(\phi_{2}),

ⓘ

Symbols:: $\phi(x)$ : test function and $\Lambda$ : mapping
Referenced by:: §1.16(i)
Permalink:: http://dlmf.nist.gov/1.16.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §1.16(i), §1.16 and Ch.1

… ►

1.16.2

\lim_{n\to\infty}\Lambda(\phi_{n})=\Lambda(\phi).

ⓘ

Symbols:: $n$ : nonnegative integer, $\phi(x)$ : test function and $\Lambda$ : mapping
Referenced by:: §1.16(i)
Permalink:: http://dlmf.nist.gov/1.16.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §1.16(i), §1.16 and Ch.1

… ►

1.16.3

\left\langle\Lambda,\phi\right\rangle=\int_{I}f(x)\phi(x)\,\mathrm{d}x.

ⓘ

Symbols:: $\,\mathrm{d}\NVar{x}$ : differential of $x$ , $\left\langle\NVar{\Lambda},\NVar{\phi}\right\rangle$ : action of distribution on test function, $\int$ : integral, $\phi(x)$ : test function, $I$ : interval and $\Lambda$ : mapping
Permalink:: http://dlmf.nist.gov/1.16.E3
Encodings:: pMML, png, TeX
See also:: Annotations for §1.16(i), §1.16 and Ch.1

… ►

1.16.4

\left\langle\Lambda_{1}+\Lambda_{2},\phi\right\rangle=\left\langle\Lambda_{1},% \phi\right\rangle+\left\langle\Lambda_{2},\phi\right\rangle,

ⓘ

Symbols:: $\left\langle\NVar{\Lambda},\NVar{\phi}\right\rangle$ : action of distribution on test function, $\phi(x)$ : test function and $\Lambda$ : mapping
Permalink:: http://dlmf.nist.gov/1.16.E4
Encodings:: pMML, png, TeX
See also:: Annotations for §1.16(i), §1.16 and Ch.1

…

25: 15.19 Methods of Computation

… ►This is because the linear transformations map the pair

\{{\mathrm{e}}^{\pi\mathrm{i}/3},{\mathrm{e}}^{-\pi\mathrm{i}/3}\}

onto itself. …

26: 1.9 Calculus of a Complex Variable

… ►

§1.9(iv) Conformal Mapping

… ►Let

C^{\prime}_{1},C^{\prime}_{2}

be the images of

C_{1}

and

C_{2}

under the mapping

w=f(z)

. …We then say that the mapping

w=f(z)

is conformal (angle-preserving) at

z_{0}

. … ► … ►The transformation (1.9.40) is a one-to-one conformal mapping of

\mathbb{C}\,\cup\,\{\infty\}

onto itself. …

27: 19.7 Connection Formulas

… ►The first of the three relations maps each circular region onto itself and each hyperbolic region onto the other; in particular, it gives the Cauchy principal value of

\Pi\left(\phi,\alpha^{2},k\right)

when

\alpha^{2}>{\csc}^{2}\phi

(see (19.6.5) for the complete case). … ►The second relation maps each hyperbolic region onto itself and each circular region onto the other: … ►The third relation (missing from the literature of Legendre’s integrals) maps each circular region onto the other and each hyperbolic region onto the other: …

28: Guide to Searching the DLMF

… ►To recognize the math symbols and structures, and to accommodate equivalence between various notations and various forms of expression, the search system maps the math part of your queries into a different form. …

29: 12.3 Graphics

… ►See also About Color Map. …

30: 15.3 Graphics