$#A+1 = 60 n = 0
$#C+1 = 60 : ~/encyclopedia/old_files/data/H048/H.0408280 Hyperbolic metric, principle
4 KB (660 words) - 11:51, 1 May 2023
$#A+1 = 60 n = 4
$#C+1 = 60 : ~/encyclopedia/old_files/data/T092/T.0902270 Tate module
4 KB (651 words) - 08:25, 6 June 2020
$#A+1 = 60 n = 0
$#C+1 = 60 : ~/encyclopedia/old_files/data/I050/I.0500320 Implicit function (in algebr
5 KB (768 words) - 22:11, 5 June 2020
$#A+1 = 60 n = 0
$#C+1 = 60 : ~/encyclopedia/old_files/data/M065/M.0605360 Multiple\AAhcorrelation coef
5 KB (666 words) - 08:02, 6 June 2020
$#A+1 = 60 n = 1
$#C+1 = 60 : ~/encyclopedia/old_files/data/K055/K.0505630 Kodaira dimension
5 KB (777 words) - 22:14, 5 June 2020
$#A+1 = 60 n = 0
$#C+1 = 60 : ~/encyclopedia/old_files/data/L060/L.0600250 Local variations, method of
6 KB (898 words) - 17:24, 31 December 2020
...For pairs of spaces ($F,G$) in duality the Mackey topology $\mathcal T$ is not necessarily barrelled or metrizable. A weakly-continuous linear mapping of
..."On convex topological linear spaces" ''Trans. Amer. Math. Soc.'' , '''60''' (1946) pp. 519–537 {{ZBL|0061.24302}}</TD></TR>
3 KB (444 words) - 19:36, 11 October 2023
...which the left-hand side is considered as an operator acting on a suitably defined function space. The best developed functional-analytic methods concern line
is not smooth (e.g. $ f \in H ( V) $,
21 KB (3,008 words) - 17:33, 5 June 2020
If $k$ is an integer, E. Hecke defined operators $T_n$ for every integer $n$, and showed they could be simultaneou
...fficients]]. The coefficients are not multiplicative, so the $L$-series is not an Euler product.
7 KB (1,047 words) - 17:38, 17 March 2024
$#A+1 = 60 n = 0
$#C+1 = 60 : ~/encyclopedia/old_files/data/C021/C.0201170 Central exponents
8 KB (1,097 words) - 16:43, 4 June 2020
...equations the condition for a system to be in involution (involutional) is defined by the equations
do not depend on $ u $,
6 KB (940 words) - 19:10, 11 January 2024
{{MSC|60-01}}
...conditions. The assumption that a definite probability (i.e. a completely defined fraction of the number of occurrences of an event if the conditions are rep
9 KB (1,350 words) - 18:22, 27 May 2012
principal curvatures and principal directions are defined as follows.
does not depend on the chosen extension of $ \xi $.
4 KB (610 words) - 14:54, 7 June 2020
defined over an algebraically closed field, that can be mapped onto a subvariety $
then a necessary (but not sufficient) condition for $ Y $
8 KB (1,076 words) - 07:58, 21 January 2024
{{MSC|60-01}}
...$X$ from its [[Mathematical expectation|mathematical expectation]] $\Ex X$ defined by the equation:
7 KB (1,127 words) - 20:19, 27 January 2020
...averaging a certain function on a torus along the trajectories of the flow defined by shifts by elements of a one-parameter subgroup. However, this function h
...ences|[1]]], [[#References|[4]]]). In this case, the average rotation does not always exist, but if it does, then the difference $ \mathop{\rm arg} f(
5 KB (699 words) - 11:07, 25 April 2020
...g the same sub-semi-group as $M$, and the number of elements of which does not exceed a fixed number); of periodic semi-groups with the maximum condition
...dent; in particular, a semi-group with the conditions $M_L$ and $M_J$ does not necessarily satisfy the conditions $M_R$ and $M_H$. At the same time, a sem
6 KB (870 words) - 11:58, 1 August 2014
{{MSC|60-01}}
...f $\mathbf{R}^1$ is always contained in $\mathcal{A}_X$. The measure $P_X$ defined on $\mathcal{B}_1$ by the equation $P_X(B)=P\{X(\omega)\in B\}$, $B\in\math
6 KB (904 words) - 20:43, 1 January 2019
...ning in mathematics is not unambiguous. The adiabatic invariant is usually defined as a quantitative characteristic of the motion of a [[Hamiltonian system|Ha
...close to being completely integrable, the term "adiabatic invariant" is not used at all, even though the information presented in these publications se
7 KB (1,019 words) - 16:09, 1 April 2020
if it is defined on $ \Omega $
does not depend on $ f $[[#References|[6]]], [[#References|[7]]].
38 KB (5,491 words) - 22:11, 5 June 2020