...and $A'$ intersect at some point $T$ on the $x$-axis, and the value of the variable integral along the arc $AA'$ is equal to its value on the polygonal line $A
1 KB (227 words) - 19:28, 26 March 2023
[[Differential|differential]]. In the case of functions of one variable it is a function that does not have a finite derivative. For example, the f
For functions of more than one variable, differentiability at a point is not equivalent to the existence of the par
3 KB (549 words) - 03:45, 8 August 2018
...he conditions restricting in the above sense the domain of the independent variable (function) are absent, one speaks of an unconditional extremum.
4 KB (619 words) - 17:46, 4 June 2020
...ered a parallel language. The arrays in APL can be of any dimension and of variable size. However, in most dialects they have to be homogeneous and simple. The
In the second example, the variable $ X $
5 KB (736 words) - 18:47, 5 April 2020
of one variable:
of a vector function of one real variable is a vector in $ V $
4 KB (566 words) - 07:55, 9 January 2024
...ultivariate distribution as the distribution of a multi-dimensional random variable, or random vector, $ X = ( X _ {1} \dots X _ {s} ) $,
The distribution of any random variable $ X _ {i} $(
6 KB (799 words) - 08:01, 6 June 2020
...= 73 : ~/encyclopedia/old_files/data/F042/F.0402120 Functions of a complex variable, theory of
...ex plane $ \mathbf C = \mathbf C ^ {1} $ (functions of a single complex variable) or on a set of points $ z = ( z _ {1} \dots z _ {n} ) $
13 KB (1,922 words) - 19:55, 1 February 2022
of the variable $ z $
then the variable which is equal to $ z $
4 KB (635 words) - 19:36, 5 June 2020
...anscendental numbers; and 6) the set of all continuous functions of a real variable. The cardinality of the continuum cannot be represented as a countable sum
1 KB (199 words) - 20:11, 10 January 2015
...">[1]</TD> <TD valign="top"> N.N. Luzin, "Theory of functions of a real variable" , Moscow (1948) (In Russian)</TD></TR></table>
1 KB (210 words) - 13:18, 12 December 2013
...rticular state of the world and a particular decision. Let $X$ be a random variable taking values in a [[sample space]] $(\mathfrak{X},\mathcal{B},\mathsf{P}_\
1 KB (207 words) - 19:00, 12 April 2017
Problems of optimality principles arise, for example, when that value of a variable is sought which simultaneously extremizes a number of given functions (the
1 KB (201 words) - 16:11, 1 May 2014
''of a random variable $ X $''
2 KB (242 words) - 16:08, 1 April 2020
The variable $ \phi $,
1 KB (193 words) - 16:27, 1 April 2020
...he addition of bodies. The centre of a mass, distributed over a contour of variable curvature in the plane, was first studied by J. Steiner in 1840.
2 KB (220 words) - 16:57, 7 February 2011
with respect to the variable $ x $
with respect to the variable $ x $
8 KB (1,166 words) - 06:28, 30 May 2020
of a complex variable $ z $
...<TD valign="top"> A.I. Markushevich, "Theory of functions of a complex variable" , '''1–2''' , Chelsea (1977) (Translated from Russian)</TD></TR><TR><T
4 KB (679 words) - 18:34, 5 April 2020
...h an independent complex variable. A point in the plane of the independent variable is ''regular singular'', if solutions of the equation loose analyticity, bu
...ular singularity at the point $\tau=0$ after the change of the independent variable $t=1/\tau$.
5 KB (815 words) - 21:42, 31 July 2015
...ariable (cf. [[Functions of a real variable, theory of|Functions of a real variable, theory of]]) in which properties of functions are studied on the basis of
...created a new mathematical discipline — the theory of functions of a real variable. At the end of the 19th century there was a clear crystallization of certai
11 KB (1,633 words) - 08:00, 6 June 2020
...a1]</TD> <TD valign="top"> C.D. Hill, "Parabolic equations in one space variable and the non-characteristic Cauchy problem" ''Comm. Pure Appl. Math.'' , ''
2 KB (266 words) - 10:51, 10 August 2014