...three-dimensional [[Lobachevskii space|Lobachevskii space]] $ {} ^ {1} S _ {3} $
on the complex plane $ S _ {2} ( i) $(
3 KB (352 words) - 22:15, 5 June 2020
...ical constant, having the dimension of action (energy$\times$time). Planck's constant $h$ is
\[6.626\,070\,15\times10^{-34}\,\mathrm J\,\mathrm s.\]
2 KB (248 words) - 14:10, 21 May 2019
A commutative group scheme is a group scheme $G$ over a basis scheme $S$, the value of which on any
$S$-scheme is an Abelian group. Examples of commutative group schemes are [[Ab
4 KB (629 words) - 20:08, 15 December 2020
e ^ {A ( s _ {n} ) ( s _ {n} - s _ {n-1} ) } e ^ {A
( s _ {n-1} ) ( s _ {n-1} - s _ {n-2} ) }
5 KB (676 words) - 02:25, 1 March 2022
(-1)^{s+t} \det A_{i_1\ldots i_k}^{j_1\ldots j_k}
...olumns of $M$; $s = i_1 + \cdots + i_k$, $t = j_1 + \cdots + j_k$. Laplace's theorem is valid: If any $r$ rows are fixed in a determinant of order $n$,
1 KB (182 words) - 11:43, 9 February 2021
$#C+1 = 19 : ~/encyclopedia/old_files/data/S090/S.0900510 Strip method (integral equations)
\phi ( x) - \lambda \int\limits _ { a } ^ { b } K ( x , s ) \phi ( s) d s = f ( x) .
4 KB (616 words) - 18:31, 7 June 2020
\partial g ( \phi _ {k} ( s ) , z ) }{\partial n ^ {(k)}}
\partial g ( \phi _ {k} ( s ) , \zeta ) }{\partial n
3 KB (402 words) - 20:37, 16 January 2024
$#C+1 = 23 : ~/encyclopedia/old_files/data/S083/S.0803420 Schr\AGodinger representation
...tum field theory. In the Schrödinger representation the operators $ A _ {S} $
3 KB (423 words) - 08:12, 6 June 2020
...Semi-group|semi-group]] $S$ with zero for which there is an $n$ such that $S^n = 0$; this is equivalent to the identity
...Nil semi-group]]); or 3) there is a $k$ such that every sub-semi-group of $S$ can be imbedded as an ideal series of length $\leq k$.
2 KB (363 words) - 13:07, 12 December 2013
Riemann's first theorem: Let the series (*) converge at a point $ x _ {0} $
to a number $ S $.
3 KB (442 words) - 07:55, 6 January 2024
p ( s ) = a _ {0} + a _ {1} s + \dots + a _ {n} s ^ {n} = { \mathop{\rm det} } ( sI - A ) .
...open left half of the complex plane. In this case, the polynomial $ p ( s ) $
5 KB (695 words) - 22:14, 5 June 2020
An analytic function $f(s)$, $s=\sigma+i\tau$, regular in a strip $-\infty\leqslant\alpha<\sigma<\beta\leqs
...mbers. A real number $\tau$ is called an $\varepsilon$-almost-period of $f(s)$ if for all points of the strip $(\alpha, \beta)$ the inequality
2 KB (348 words) - 06:21, 16 October 2013
...its _ {t _ {0} } ^ { t } A( s) ds + \int\limits _ {t _ {0} } ^ { t } A( s) \int\limits
_ {t _ {0} } ^ { s } A( r) dr ds + \dots ,
5 KB (722 words) - 19:40, 5 June 2020
on a surface $ S $
...re conjugate diameters of the [[Dupin indicatrix|Dupin indicatrix]] of $ S $
1 KB (207 words) - 06:12, 16 April 2023
The exterior product of $ s $
vectors is said to be a decomposable $ s $-
3 KB (535 words) - 19:38, 5 June 2020
and sequences of spheres $ S _ {n} ^ \prime $,
$ S _ {n} ^ {\prime\prime} $
2 KB (343 words) - 08:28, 6 June 2020
S = \{ a _ {1} , b _ {1} \dots a _ {g} ,\
along the curves of $ S $,
3 KB (443 words) - 06:29, 30 May 2020
\frac{\phi _ {m} ( s) \overline{ {\phi _ {m} ( t) }}\; }{
of a Hermitian positive-definite continuous kernel $ K( s, t) $
3 KB (405 words) - 08:00, 6 June 2020
...$ m = 2 ^ \alpha p _ {1} ^ {\alpha _ {1} } \dots p _ {s} ^ {\alpha _ {s} } $
and $ g _ {1} \dots g _ {s} $
5 KB (634 words) - 17:55, 17 May 2024
...roup]] into a [[group]]. A semi-group $S$ is imbeddable in a group $G$ if $S$ is isomorphic to a sub-semi-group of $G$. Necessary and sufficient conditi
([[cancellation law]]s);
3 KB (456 words) - 19:17, 23 December 2014