angle between arcs

(0.001 seconds)

21—30 of 96 matching pages

21: Sidebar 5.SB1: Gamma & Digamma Phase Plots

… ►In the lower half of the image, the poles of

\psi\left(z\right)

(corresponding to the poles of

\Gamma\left(z\right)

) and the zeros between them are clear. …

22: 15.18 Physical Applications

… ►More varied applications include photon scattering from atoms (Gavrila (1967)), energy distributions of particles in plasmas (Mace and Hellberg (1995)), conformal field theory of critical phenomena (Burkhardt and Xue (1991)), quantum chromo-dynamics (Atkinson and Johnson (1988)), and general parametrization of the effective potentials of interaction between atoms in diatomic molecules (Herrick and O’Connor (1998)).

23: 25.17 Physical Applications

… ►Analogies exist between the distribution of the zeros of

\zeta\left(s\right)

on the critical line and of semiclassical quantum eigenvalues. …

24: 34.9 Graphical Method

… ►The graphical method establishes a one-to-one correspondence between an analytic expression and a diagram by assigning a graphical symbol to each function and operation of the analytic expression. …

25: 22.18 Mathematical Applications

… ►In polar coordinates,

x=r\cos\phi

y=r\sin\phi

, the lemniscate is given by

r^{2}=\cos\left(2\phi\right)

0\leq\phi\leq 2\pi

. … ►Discussion of parametrization of the angles of spherical trigonometry in terms of Jacobian elliptic functions is given in Greenhill (1959, p. 131) and Lawden (1989, §4.4). …

26: Bibliography Z

… ►

A. Zhedanov (1998) On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval. J. Approx. Theory 94 (1), pp. 73–106.

ⓘ

External Links:: ISSN 0021-9045, Link, MathReview (T. S. Chihara), ZentralBlatt
Referenced by:: §18.33(iii).
Encodings:: BibTeX

…

27: 2.4 Contour Integrals

… ►in which

a

is finite,

b

is finite or infinite, and

\omega

is the angle of slope of

\mathscr{P}

a

, that is,

\lim(\operatorname{ph}\left(t-a\right))

t\to a

along

\mathscr{P}

. … ►

(b)

$z$ ranges along a ray or over an annular sector $\theta_{1}\leq\theta\leq\theta_{2}$ , $|z|\geq Z$ , where $\theta=\operatorname{ph}z$ , $\theta_{2}-\theta_{1}<\pi$ , and $Z>0$ . $I(z)$ converges at $b$ absolutely and uniformly with respect to $z$ .

… ►

2.4.13

|\theta+\mu\omega+\operatorname{ph}p_{0}|\leq\tfrac{1}{2}\pi.

ⓘ

Symbols:: $\pi$ : the ratio of the circumference of a circle to its diameter, $\operatorname{ph}$ : phase, $\omega$ : angle, $p_{s}$ : coefficients, $\theta_{j}$ : angles and $\mu$ : positive constant
Permalink:: http://dlmf.nist.gov/2.4.E13
Encodings:: pMML, png, TeX
See also:: Annotations for §2.4(iii), §2.4 and Ch.2

…

28: Mark J. Ablowitz

… ►Some of the relationships between IST and Painlevé equations are discussed in two books: Solitons and the Inverse Scattering Transform and Solitons, Nonlinear Evolution Equations and Inverse Scattering. …

29: 36.13 Kelvin’s Ship-Wave Pattern

… ►This is the angle of the familiar V-shaped wake. …

30: 35.9 Applications

… ►For applications of the integral representation (35.5.3) see McFarland and Richards (2001, 2002) (statistical estimation of misclassification probabilities for discriminating between multivariate normal populations). …