高仿南威尔士大学文凭毕业证【somewhat微KAA2238】wai

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1: 26.17 The Twelvefold Way

§26.17 The Twelvefold Way

►The twelvefold way gives the number of mappings

f

from set

N

n

objects to set

K

k

objects (putting balls from set

N

into boxes in set

K

). … ►

Table 26.17.1: The twelvefold way.

► ►►

elements of $N$	elements of $K$	$f$ unrestricted	$f$ one-to-one	$f$ onto
…

►

2: 31.18 Methods of Computation

… ►Care needs to be taken to choose integration paths in such a way that the wanted solution is growing in magnitude along the path at least as rapidly as all other solutions (§3.7(ii)). The computation of the accessory parameter for the Heun functions is carried out via the continued-fraction equations (31.4.2) and (31.11.13) in the same way as for the Mathieu, Lamé, and spheroidal wave functions in Chapters 28–30.

3: Software Index

… ►

Open Source Collections and Systems.

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.

…

4: 35.12 Software

… ►References to research software that is available in other ways is listed separately. …

5: 5.21 Methods of Computation

… ►An effective way of computing

\Gamma\left(z\right)

in the right half-plane is backward recurrence, beginning with a value generated from the asymptotic expansion (5.11.3). …

6: 16.9 Zeros

… ►Then

{{}_{p}F_{p}}\left(\mathbf{a};\mathbf{b};z\right)

has at most finitely many zeros if and only if the

a_{j}

can be re-indexed for

j=1,\dots,p

in such a way that

a_{j}-b_{j}

is a nonnegative integer. …

7: 16.27 Software

… ►References to research software that is available in other ways is listed separately. …

8: 26.22 Software

… ►References to research software that is available in other ways is listed separately. …

9: 34.15 Software

… ►References to research software that is available in other ways is listed separately. …

10: Jim Pitman

… ►He has a continuing interest in the technical management of scientific information in ways that encourage individuals and small organizations to maintain high-quality knowledge repositories that are openly accessible. …