test functions

SearchAdvancedHelp

(0.002 seconds)

11—20 of 26 matching pages

11: Errata

… ►

Several changes have been made to

1. make consistent use of the Fourier transform notations $ℱ\left(f\right)$, $ℱ\left(\varphi \right)$ and $ℱ\left(u\right)$ where $f$ is a function of one real variable, $\varphi$ is a test function of $n$ variables associated with tempered distributions, and $u$ is a tempered distribution (see (1.14.1), (1.16.29) and (1.16.35));

2. introduce the partial differential operator $𝐃$ in (1.16.30);

3. clarify the definition (1.16.32) of the partial differential operator $P(𝐃)$; and

4. clarify the use of $P(𝐃)$ and $P(𝐱)$ in (1.16.33), (1.16.34), (1.16.36) and (1.16.37).

…

12: Bibliography B

… ►

On the power function of the likelihood ratio test for MANOVA. J. Multivariate Anal. 82 (2), pp. 416–421.

ⓘ

External Links:

ISSN 0047-259X, Document, MathReview (Yasuko Chikuse), ZentralBlatt

Referenced by:

§35.9.

Encodings:

BibTeX

…

13: DLMF Project News

error generating summary

14: David M. Bressoud

… ►Bressoud has published numerous papers in number theory, combinatorics, and special functions. … 227, in 1980, Factorization and Primality Testing, published by Springer-Verlag in 1989, Second Year Calculus from Celestial Mechanics to Special Relativity, published by Springer-Verlag in 1992, A Radical Approach to Real Analysis, published by the Mathematical Association of America in 1994, with a second edition in 2007, Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture, published by the Mathematical Association of America and Cambridge University Press in 1999, A Course in Computational Number Theory (with S. … ►Bressoud served as a Validator for the original release and publication in May 2010 of the NIST Digital Library of Mathematical Functions and the NIST Handbook of Mathematical Functions.

15: 1.10 Functions of a Complex Variable

… ►

§1.10(vi) Multivalued Functions

… ►

§1.10(vii) Inverse Functions

… ►

$M$-test

… ►

$M$-test

… ►

§1.10(xi) Generating Functions

…

16: Philip J. Davis

… ►After being asked by Milton Abramowitz to work on the project, he chose to write the Chapter “Gamma Function and Related Functions. … ►Olver had been recruited to write the Chapter “Bessel Functions of Integer Order” for A&S by Milton Abramowitz, who passed away suddenly in 1958. … ►This immediately led to discussions among some of the project members about what might be possible, and the discovery that some interactive graphics work had already been done for the NIST Matrix Market, a publicly available repository of test matrices for comparing the effectiveness of numerical linear algebra algorithms. … ►DLMF users can rotate, rescale, zoom and otherwise explore mathematical function surfaces. 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. …

17: Bibliography P

… ►

Tables of Digamma and Trigamma Functions. In Tracts for Computers, No. 1, K. Pearson (Ed.),

ⓘ

External Links:

ZentralBlatt

Referenced by:

§5.1, Notations F.

Encodings:

BibTeX

… ►

Exponential asymptotics of the Mittag-Leffler function. Proc. Roy. Soc. London Ser. A 458, pp. 3041–3052.

ⓘ

External Links:

ISSN 1364-5021, Document, MathReview (Roderick Wong), ZentralBlatt

Referenced by:

§10.46.

Encodings:

BibTeX

… ►

Tables of the Incomplete Beta-function. 2nd edition, Published for the Biometrika Trustees at the Cambridge University Press, Cambridge.

ⓘ

External Links:

MathReview, ZentralBlatt

Referenced by:

1st item.

Encodings:

BibTeX

… ►

Unbiasedness of invariant tests for MANOVA and other multivariate problems. Ann. Statist. 8 (6), pp. 1326–1341.

ⓘ

External Links:

ISSN 0090-5364, FullText, MathReview (Takeaki Kariya), ZentralBlatt

Referenced by:

§35.9.

Encodings:

BibTeX

… ►

ⓘ

Notes:

Information on primes, primality testing, and factorization including links to programs and lists of primes.

External Links:

Home Page

Referenced by:

7th item.

Encodings:

BibTeX

…

18: Bibliography M

… ►

Hypergeometric Functions.

ⓘ

Notes:

Unpublished Lecture Notes, University of London. An online version exists.

External Links:

FullText

Referenced by:

§35.7(ii), §35.8(iii).

Encodings:

BibTeX

… ►

Rational approximations, software and test methods for sine and cosine integrals. Numer. Algorithms 12 (3-4), pp. 259–272.

ⓘ

Notes:

Includes Fortran code, maximum accuracy 20S.

External Links:

ISSN 1017-1398, Document, MathReview, ZentralBlatt

Referenced by:

§6.13, 4th item, §6.21(ii).

Encodings:

BibTeX

… ►

Contribution no. 14. The Riemann zeta function. BIT 5, pp. 138–141.

ⓘ

Referenced by:

§25.21(ii).

Encodings:

BibTeX

… ►

Loud Speakers: Theory, Performance, Testing and Design. Oxford University Press, New York.

ⓘ

Notes:

Reprinted, with corrections, by Dover Publications Inc., 1960.

External Links:

MathReview, ZentralBlatt

Referenced by:

§11.12.

Encodings:

BibTeX

… ►

Algorithm 346: F-test probabilities [S14]. Comm. ACM 12 (3), pp. 184–185.

ⓘ

Notes:

Includes Algol program, maximum accuracy 12S. For a remark see ACM Trans. Math. Software 14(1988), pp. 288-289

External Links:

ISSN 0001-0782, Document, Remark

Referenced by:

§8.28(iv).

Encodings:

BibTeX

…

19: Bibliography N

… ►

Toda equation and its solutions in special functions. J. Phys. Soc. Japan 65 (6), pp. 1589–1597.

ⓘ

External Links:

ISSN 0031-9015, Document, MathReview, ZentralBlatt

Referenced by:

§18.38(ii).

Encodings:

BibTeX

… ►

Inequalities and bounds for the incomplete gamma function. Results Math. 63 (3-4), pp. 1209–1214.

ⓘ

External Links:

ISSN 1422-6383, Document, FullText, MathReview (Pierpaolo Natalini), ZentralBlatt

Referenced by:

§8.10, §8.10.

Encodings:

BibTeX

… ►

Jacobian Elliptic Functions. 2nd edition, Clarendon Press, Oxford.

ⓘ

External Links:

MathReview, ZentralBlatt

Referenced by:

§20.1, Notations T, Notations T, Notations T, Notations T.

Encodings:

BibTeX

… ►

Hypergeometric functions. Acta Math. 94, pp. 289–349.

ⓘ

External Links:

Document, MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§16.10, §16.8(ii), §16.8(ii).

Encodings:

BibTeX

… ►

ⓘ

Notes:

References and links to software for factorization and primality testing.

External Links:

Home Page

Referenced by:

6th item.

Encodings:

BibTeX

…

20: Bibliography E

… ►

ⓘ

Notes:

Links to software for elliptic curve methods of factorization and primality testing.

External Links:

Home Page

Referenced by:

4th item.

Encodings:

BibTeX

… ►

Riemann’s Zeta Function. Academic Press, New York-London.

ⓘ

Notes:

Pure and Applied Mathematics, Vol. 58. Reprinted by Dover Publications Inc., Mineola, NY, 2001.

External Links:

MathReview (Bruce C. Berndt), ZentralBlatt

Referenced by:

Ch.25.

Encodings:

BibTeX

… ►

Ten Physical Applications of Spectral Zeta Functions. Lecture Notes in Physics. New Series m: Monographs, Vol. 35, Springer-Verlag, Berlin.

ⓘ

External Links:

ISBN 3-540-60230-5, MathReview (Alfred Actor), ZentralBlatt

Referenced by:

§25.17.

Encodings:

BibTeX

… ►

On Lamé functions. Philos. Mag. (7) 31, pp. 123–130.

ⓘ

External Links:

MathReview (G. Szegő), ZentralBlatt

Referenced by:

§29.3(ii).

Encodings:

BibTeX

►

On algebraic Lamé functions. Philos. Mag. (7) 32, pp. 348–350.

ⓘ

External Links:

MathReview (G. Szegő), ZentralBlatt

Referenced by:

§29.17(ii).

Encodings:

BibTeX

…