area of triangle

SearchAdvancedHelp

(0.002 seconds)

21—30 of 47 matching pages

21: 35.9 Applications

… ►In the nascent area of applications of zonal polynomials to the limiting probability distributions of symmetric random matrices, one of the most comprehensive accounts is Rains (1998).

22: William P. Reinhardt

… ►This is closely connected with his interests in classical dynamical “chaos,” an area where he coauthored a book, Chaos in atomic physics with Reinhold Blümel. …

23: Barry I. Schneider

… ►Schneider’s current research interests span a broad number of areas of theoretical chemistry, atomic and molecular physics, numerical methods and high performance computing. …

24: 15.17 Mathematical Applications

… ►The quotient of two solutions of (15.10.1) maps the closed upper half-plane $\mathrm{\Im }z\ge 0$ conformally onto a curvilinear triangle. …

25: 18.1 Notation

… ►

Triangle: $P_{m,n}^{\alpha ,\beta ,\gamma }(x,y)$.

…

26: 28.29 Definitions and Basic Properties

… ►

28.29.15 $$△(\lambda )=w_{\text{I}}(\pi ,\lambda )+w_{\text{II}}^{\prime }(\pi ,\lambda )$$

ⓘ

Symbols:

$\pi$: the ratio of the circumference of a circle to its diameter, $w_{\text{I}}(z;a,q)$: fundamental solution, $w_{\text{II}}(z;a,q)$: fundamental solution and $\lambda$: parameter

Permalink:

http://dlmf.nist.gov/28.29.E15

Encodings:

pMML, png, TeX

See also:

Annotations for §28.29(iii), §28.29 and Ch.28

… ►For a given $\nu$, the characteristic equation $△(\lambda )-2\cos \left(\pi \nu \right)=0$ has infinitely many roots $\lambda$. Conversely, for a given $\lambda$, the value of $△(\lambda )$ is needed for the computation of $\nu$. … ►

28.29.16 $${\lambda }_n,n=0,1,2,\mathrm{\dots },\text{ with }△({\lambda }_n)=2,$$

ⓘ

Defines:

${\lambda }_n$: eigenvalues (locally)

Symbols:

$n$: integer

Referenced by:

§28.30(i)

Permalink:

http://dlmf.nist.gov/28.29.E16

Encodings:

pMML, png, TeX

See also:

Annotations for §28.29(iii), §28.29 and Ch.28

►

28.29.17 $${\mu }_n,n=1,2,3,\mathrm{\dots },\text{ with }△({\mu }_n)=-2.$$

ⓘ

Defines:

${\mu }_n$: eigenvalues (locally)

Symbols:

$n$: integer

Referenced by:

§28.30(i)

Permalink:

http://dlmf.nist.gov/28.29.E17

Encodings:

pMML, png, TeX

See also:

Annotations for §28.29(iii), §28.29 and Ch.28

…

27: 1.6 Vectors and Vector-Valued Functions

… ►Area of parallelogram with vectors $𝐚$ and $𝐛$ as sides $=\Vert 𝐚\times 𝐛\Vert$. … ►The area of $S$ can be found from (1.6.44) by taking $𝐅(x,y)=-y𝐢$, $x𝐣$, or $-\frac{1}{2}y𝐢+\frac{1}{2}x𝐣$. … ►The area $A(S)$ of a parametrized smooth surface is given by …The area is independent of the parametrizations. …

28: 5.19 Mathematical Applications

… ►The volume $V$ and surface area $S$ of the $n$-dimensional sphere of radius $r$ are given by …

29: 18.13 Continued Fractions

… ►The following formulae are explicit cases of (18.2.34)–(18.2.36); this area is fully explored in §§18.30(vi) and 18.30(vii). …

30: 21.9 Integrable Equations

… ►Riemann theta functions arise in the study of integrable differential equations that have applications in many areas, including fluid mechanics (Ablowitz and Segur (1981, Chapter 4)), magnetic monopoles (Ercolani and Sinha (1989)), and string theory (Deligne et al. (1999, Part 3)). …