iterated spherical mean - перевод на русский
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iterated spherical mean - перевод на русский

METHOD FOR CALCULATING AVERAGE VALUES
Circular averaging; Circular average; Angular mean; Mean of circular quantities; Spherical mean (statistics)

iterated spherical mean      
итерированное сферическое среднее
spheroidal function         
  • [[Pierre-Simon Laplace]],  1749–1827
  • Plot of the spherical harmonic <math>Y_\ell^m(\theta,\varphi)</math> with <math>\ell=2</math> and <math>m=1</math> and <math>\varphi=\pi</math> in the complex plane from <math>-2-2i</math> to <math>2+2i</math> with colors created with Mathematica 13.1 function ComplexPlot3D
  • Real (Laplace) spherical harmonics <math>Y_{\ell m}</math> for <math>\ell=0,\dots,4</math> (top to bottom) and <math>m=0,\dots,\ell</math> (left to right). Zonal, sectoral, and tesseral harmonics are depicted along the left-most column, the main diagonal, and elsewhere, respectively. (The negative order harmonics <math>Y_{\ell(-m)}</math> would be shown rotated about the ''z'' axis by <math>90^\circ/m</math> with respect to the positive order ones.)
  • 1=''ℓ'' = 3}}. The coefficients are not equal to the Wigner D-matrices, since real functions are shown, but can be obtained by re-decomposing the complex functions
  • Alternative picture for the real spherical harmonics <math>Y_{\ell m}</math>.
SPECIAL FUNCTION OVER THE SURFACE OF A SPHERE
Spherical harmony; Spherical harmonic; Spherical functions; Spherical Harmonics; Spheroidal function; Spheroidal harmonics; Spheroidal Harmonics; Laplace series; Laplace Series; Spherical harmonics function; Spherical harmonic function; Ylm; Tesseral harmonics; Tesseral spherical harmonics; Sectorial harmonics; Sectorial spherical harmonics

математика

сфероидальная функция

mean value         
  • log-normal]]) distributions.
GENERAL TERM FOR THE SEVERAL DEFINITIONS OF MEAN VALUE, THE SUM DIVIDED BY THE COUNT
MeaN; Mean value; Mean (mathematics); Mean vector; Mean (statistics); Mean number; Meanscore; Population average; Mean values; Mean score; Mean (Statistics); The Mean

общая лексика

средний показатель

математическое ожидание

среднее значение

Определение

ГРИНВИЧСКОЕ СРЕДНЕЕ ВРЕМЯ
см. Всемирное время.

Википедия

Circular mean

In mathematics and statistics, a circular mean or angular mean is a mean designed for angles and similar cyclic quantities, such as daytimes, and fractional parts of real numbers. This is necessary since most of the usual means may not be appropriate on angle-like quantities. For example, the arithmetic mean of 0° and 360° is 180°, which is misleading because 360° equals 0° modulo a full cycle. As another example, the "average time" between 11 PM and 1 AM is either midnight or noon, depending on whether the two times are part of a single night or part of a single calendar day. The circular mean is one of the simplest examples of circular statistics and of statistics of non-Euclidean spaces. This computation produces a different result than the arithmetic mean, with the difference being greater when the angles are widely distributed. For example, the arithmetic mean of the three angles 0°, 0° and 90° is (0+0+90)/3 = 30°, but the vector mean is 26.565°. Moreover, with the arithmetic mean the circular variance is only defined ±180°.

Как переводится iterated spherical mean на Русский язык