...valign="top"> G.M. Goluzin, "Geometric theory of functions of a complex variable" , ''Transl. Math. Monogr.'' , '''26''' , Amer. Math. Soc. (1969) (Transl
[[Category:Functions of a complex variable]]
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a random variable defined on $ ( \Omega , {\mathcal A} ) $
is called a (regular) conditional distribution of the random variable $ X $
4 KB (599 words) - 17:46, 4 June 2020
...$F(x) = \mathbf{P}\{X \le x\}$ be the distribution function of the random variable $X$. Then the probability distribution for the range is
1 KB (196 words) - 12:46, 14 February 2020
...im_i}$ do not contain both the formulas $p$ and $\neg p$, where $p$ is any variable. For any propositional formula $A$ it is possible to construct an equivale
2 KB (307 words) - 16:22, 18 November 2023
with respect to the variable $ x _ {1} $
in the single variable $ x _ {1} $,
2 KB (295 words) - 08:05, 6 June 2020
be a continuously-distributed random variable for which the probability density $ p( x) $,
...tuation, when instead of the realizations of the initial continuous random variable $ X $,
4 KB (601 words) - 19:38, 18 January 2021
A function $f$ that changes sign when the independent variable changes sign, i.e. $f(-x)=-f(x)$ for all values in the domain of $f$. The g
276 bytes (47 words) - 14:15, 10 April 2014
\Var X$ of the deviation of a [[Random_variable | random variable]] $X$ from its [[Mathematical expectation|mathematical expectation]] $\Ex X
...us functions of a random variable $X$ in terms of the distribution of this variable on the set of real numbers are of importance (cf. [[Mathematical expectatio
7 KB (1,127 words) - 20:19, 27 January 2020
...TD> <TD valign="top"> S. Stoilov, "The theory of functions of a complex variable" , '''1–2''' , Moscow (1962) (In Russian; translated from Rumanian)</TD
...top">[a1]</TD> <TD valign="top"> J.B. Conway, "Functions of one complex variable" , Springer (1978)</TD></TR></table>
2 KB (315 words) - 10:59, 27 June 2015
...culation of an area or an [[Integral|integral]] (of a function of a single variable).
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''on conformal mapping of domains with variable boundaries''
...<TD valign="top"> A.I. Markushevich, "Theory of functions of a complex variable" , '''3''' , Chelsea (1977) (Translated from Russian)</TD></TR></table>
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...pplied to predicates not with respect to the whole range of a given object variable, but with respect to a part of it defined by a [[Predicate|predicate]] $R(x
that is, the predicate $P(x)$ is true for all values of the variable $x$ satisfying the predicate $R(x)$. The proposition $(\exists x)_R(X)P(x)$
1 KB (212 words) - 07:30, 23 August 2014
...lytic functions (cf. [[Analytic function|Analytic function]]) of a complex variable $z$ in a domain $D$, let a simple closed piecewise-smooth curve $\Gamma$ to
...<TD valign="top"> A.I. Markushevich, "Theory of functions of a complex variable" , '''1''' , Chelsea (1977) (Translated from Russian)</TD></TR><TR><TD va
3 KB (461 words) - 12:23, 14 February 2020
...he membership of a distribution function (probability density) of a random variable in a certain set of distribution functions containing more than one element
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...contact of $q$ and $l$ is said to be equal to $n$ if the segment $QL$ is a variable of $(n+1)$-st order of smallness with respect to $MK$ (see Fig., where $QL$
The phrase "QL is a variable of the variable of n+1-st order of smallness with respect to another variablen+1-st order o
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...n to the problem of local inversion of a holomorphic function of a complex variable. The original solution of the inversion problem, given by J.L. Lagrange in
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...o functions of several variables of the [[Variation of a function]] of one variable, proposed by
($TV (f\circ \gamma)$ is then the classical total variation of the real variable function $f\circ \gamma$, see [[Variation of a function]]).
2 KB (323 words) - 09:38, 16 August 2013
...ariable. It consists in transforming the integral by transition to another variable of integration. For the [[Definite integral|definite integral]] the formula
...a \eqref{e:change_of_var} can be generalized to integrals in more than one variable: we refer to [[Change of variables in an integral]] and [[Area formula]].
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is any variable not appearing as a free variable in $ \phi ( x) $
the variable $ y $
3 KB (441 words) - 08:07, 6 June 2020
In probability theory, the generating function of a [[Random variable|random variable]] $ \xi $
The generating function of a random variable $ \xi $
3 KB (451 words) - 08:25, 16 March 2023