projective coordinates

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1—10 of 86 matching pages

1: Howard S. Cohl

… ►He is the Technical Editor for the DLMF project. … ►Cohl has published papers in orthogonal polynomials and special functions, and is particularly interested in fundamental solutions of linear partial differential equations on Riemannian manifolds, associated Legendre functions, generalized and basic hypergeometric functions, eigenfunction expansions of fundamental solutions in separable coordinate systems for linear partial differential equations, orthogonal polynomial generating function and generalized expansions, and

q

-series. Howard is the project leader for the NIST Digital Repository of Mathematical Formulae seeding and development projects. …

2: Joyce E. Conlon

… ►In 1999 she joined the NIST Mathematical and Computational Sciences Division, where she contributed to the DLMF project, especially in the construction of the bibliography. Subsequently, she was a NIST contractor for the DLMF project until her sudden death in 2007. … ►Conlon was one of the LaTeX and BibTex editors for the DLMF project.

3: 23.20 Mathematical Applications

… ►or equivalently, on replacing

x

x/z

and

y

y/z

(projective coordinates), into the form ►

23.20.2

C:y^{2}z=x^{3}+axz^{2}+bz^{3},

ⓘ

Symbols:: $x$ : real part of $z$ , $y$ : imaginary part of $z$ , $z$ : complex, $C$ : elliptic curve, $a$ : constant and $b$ : constant
Permalink:: http://dlmf.nist.gov/23.20.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §23.20(ii), §23.20 and Ch.23

… ►Let

T

denote the set of points on

C

that are of finite order (that is, those points

P

for which there exists a positive integer

n

with

nP=o

), and let

I, K

be the sets of points with integer and rational coordinates, respectively. …

4: Michael V. Berry

… ►He is also an Associate and Senior Associate Editor for the DLMF project. … ►Berry was a member of the original editorial committee for the DLMF project, in existence from the mid-1990’s to the mid-2010’s. During this time he served as Associate Editor with responsibilities for all aspects of the project. The original committee was reconstituted in 2015; for details see About the Project. …

5: Leonard C. Maximon

… ►He was also an Associate Editor for Physics for the DLMF project. … ►Maximon was a member of the original editorial committee for the DLMF project, in existence from the mid-1990’s to the mid-2010’s. During this time he served as Associate Editor with responsibilities for all aspects of the project. The original committee was reconstituted in 2015; for details see About the Project. …

6: Marjorie A. McClain

… ► 1956 in Ithaca, New York) is a mathematician in the Applied and Computational Mathematics Division of NIST where she has provided support for mathematical software libraries and assisted with numerical computing projects since 1979. …She is the Associate Technical Editor for the DLMF project when she retired in September, 2021. …

7: Morris Newman

… ►He served as Associate Editor for Combinatorics and Number Theory for the DLMF project. ►Newman was a member of the original editorial committee for the DLMF project, in existence from the mid-1990’s to the mid-2010’s. During this time he served as Associate Editor with responsibilities for all aspects of the project. The original committee was reconstituted in 2015; for details see About the Project.

8: Peter Paule

… ►Paule was a member of the original editorial committee for the DLMF project, in existence from the mid-1990’s to the mid-2010’s. During this time he served as Associate Editor with responsibilities for all aspects of the project. The original committee was reconstituted in 2015; for details see About the Project.

9: 29.18 Mathematical Applications

… ►

§29.18(i) Sphero-Conal Coordinates

… ►when transformed to sphero-conal coordinates

r,\beta,\gamma

: … ►

29.18.4

u(r,\beta,\gamma)=u_{1}(r)u_{2}(\beta)u_{3}(\gamma),

ⓘ

Symbols:: $u$ : solution, $r$ : sphero-conal coordinate, $\beta$ : sphero-conal coordinate, $\gamma$ : sphero-conal coordinate and $u_{j}$ : solutions
Permalink:: http://dlmf.nist.gov/29.18.E4
Encodings:: pMML, png, TeX
See also:: Annotations for §29.18(i), §29.18 and Ch.29

… ►

§29.18(ii) Ellipsoidal Coordinates

►The wave equation (29.18.1), when transformed to ellipsoidal coordinates

\alpha,\beta,\gamma

: …

10: About the Project

About the Project

… ►The DLMF Project has updated and expanded the coverage for current needs. …Details of the early history of the DLMF Project are given in the Preface and on pp. … ►Whereas before the project had Editors and Associate Editors, it now has Editors, Senior Associate Editors, and Associate Editors. … ►As before, the Editors have primary responsibility for the executive management of the project. …