with respect to Lebesgue measure is given by the expression
9 KB (1,282 words) - 08:24, 6 June 2020
of the manifold defined by (7). In (8), $F$ denotes the expression
9 KB (1,496 words) - 08:59, 13 February 2024
...some mathematical (or even non-mathematical) theory, more precisely, as an expression of both its factual contents and its deductive structure. The general proce
17 KB (2,707 words) - 10:02, 25 April 2020
The expression (1) naturally includes the case of a system of Fredholm equations.
...e of (4) may be computed in a finite number of arithmetical operations. The expression $ \psi ( \widetilde{A} , \widetilde{f} ) $
20 KB (3,019 words) - 03:31, 14 June 2022
In this method, an explicit expression for the fundamental solution need not be specified, but if it is known, the
7 KB (1,101 words) - 17:33, 5 June 2020
...informant-speaker, whom the researcher asks questions of the type "Is this expression correct?" and "Do these two expressions have the same or a different mean
8 KB (1,194 words) - 08:24, 6 June 2020
then the explicit expression for the partial derivatives $ \partial f _ {j} / \partial x _ {i} $,
12 KB (1,760 words) - 08:00, 21 January 2024
...ial $\sigma ( \xi , x )$ are replaced by symmetric operator products in the expression $\sigma( \mathcal {D , X} )$. Harmonic analysis in phase space is a succinc
...orphism and there may be no spectral mapping property, so the commonly used expression "functional calculus" is somewhat optimistic.
17 KB (2,575 words) - 16:58, 1 July 2020
The expression for the wave field constructed with the aid of the ray method loses smoothn
8 KB (1,156 words) - 08:04, 6 June 2020
-
6 KB (960 words) - 08:11, 4 November 2023
...alysis|multi-dimensional statistical analysis]], serving for a quantitative expression and processing of the available information in accordance with the criterio
...optimality criterion is determined by the nature of the problem itself. The expression on the left-hand side of (3) is said to be the [[Discriminant function|disc
19 KB (2,809 words) - 16:30, 31 May 2024
.... Secondly, instead of a segment of a MacLaurin series, one may subtract an expression differing from it by a polynomial in the momenta of the same degree and hav
8 KB (1,152 words) - 08:11, 6 June 2020
...attractor, although the important attractors do possess this property.) The expression "complicated structure" is rather indefinite, as is the term "strange attra
7 KB (982 words) - 12:14, 18 August 2014
...in some element of $\gamma$. The concept of star refinability serves as an expression of the idea of unlimited division of a space, and can be interpreted as the
9 KB (1,401 words) - 14:04, 30 July 2014
(the expression under the root sign is the absolute value of the [[Gram determinant|Gram de
8 KB (1,344 words) - 08:28, 6 June 2020
...(x_1,\ldots,x_n)[v(x_1\leftarrow t_1,\ldots,x_n\leftarrow t_n)]\big)$. The expression $v(x_1\leftarrow t_1,\ldots,x_n\leftarrow t_n)$ denotes an assignment funct
8 KB (1,390 words) - 18:36, 11 December 2020
...in the formal variables $y _ { n }$, $n \in \mathbf{N} + 1 / 2$. The formal expression
8 KB (1,142 words) - 16:46, 1 July 2020
...the theory of the distribution of prime numbers. In particular, he found an expression for the difference $ \pi ( x) - \mathop{\rm li} x $
the following asymptotic expression for $ \pi _ {k} ( x) $
36 KB (5,530 words) - 08:29, 14 January 2024
...as equally probable; it is connected with the entropy of the system by the expression
9 KB (1,335 words) - 19:41, 5 June 2020
Its expression in terms of the coefficients of the series is
11 KB (1,638 words) - 11:32, 16 April 2023