...ase|deformation over a principal base]] and to classify them. Thus, if the principal base contains two families of geodesic lines, the functions $U$ and $V$ are
...ss $B_1$ is characterized by the fact that only one family of lines of the principal base are geodesics (one of the functions $U,V$ is constant); conoids may se
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...element of $S$, and similarly the left [[annihilator]] of any element is a principal left ideal on an idempotent element of $S$.
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The left principal ideal $L(\alpha)$ of a ring $A$ contains, in addition to the element $\alph
the right principal ideal $R(\alpha)$ contains all the elements
3 KB (484 words) - 20:54, 28 November 2014
...ves as the base of two different deformations $F'$ and $F''$, then it is a principal base of deformation.
...normal curvature of $F$ in the direction of one of the two families of the principal base $\sigma$ at an arbitrary point $M\in F$, while $\kappa'$, $\kappa''$,
5 KB (766 words) - 12:40, 2 November 2014
''
principal series of representations''
...images/c/c025/c025750/c0257507.png" />, then the non-degenerate continuous
principal series of representations of <img align="absmiddle" border="0" src="https:/
8 KB (1,022 words) - 17:01, 7 February 2011
A [[Principal G-object|principal $ G $-
then a principal $ G $-
5 KB (854 words) - 10:51, 20 December 2019
This page is a copy of the article [[Principal homogeneous space]] in order to test [[User:Maximilian_Janisch/latexlist|au
...gy]] $H ^ { 1 } ( k , \Gamma )$. In the general case the set of classes of principal homogeneous spaces over an $5$-group scheme $I$ coincides with the set of o
5 KB (863 words) - 13:44, 17 October 2019
...y less than $\mathfrak{a}$. The Fréchet filter is not [[principal filter|principal]].
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$#C+1 = 81 : ~/encyclopedia/old_files/data/P074/P.0704740 Principal ideal ring
...[[Associative rings and algebras]]) in which all right and left ideals are principal, i.e. have the form $ aR $
5 KB (880 words) - 19:00, 9 January 2024
$#C+1 = 99 : ~/encyclopedia/old_files/data/P074/P.0704710 Principal \BMI G\EMI\AAhobject
...ndle|principal fibre bundle]] in topology, a [[Principal homogeneous space|principal homogeneous space]] in algebraic geometry, etc. Let $ G $
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[[Principal fibre bundle|principal fibre bundle]] the existence of a section implies its triviality. A
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...ere $k_i$ is the principal curvature at a point on the hypersurface in the principal direction $i$.
2 KB (369 words) - 21:48, 1 January 2019
...ipal ideal ring is factorial. A Dedekind ring is factorial only if it is a principal ideal ring. If $S$ is a multiplicative system in a factorial ring $A$, then
3 KB (480 words) - 21:45, 3 January 2021
...a Voss net is isotropic. Every Voss net on a two-dimensional surface is a principal base of a deformation of the surface. Only the helicoid carries an infinite
...lign="top">[2]</TD> <TD valign="top"> S.P. Finikov, "Deformation over a principal base and related problems in geometry", Vereinigt. Wiss.-Techn. Verl. 176 S
1,007 bytes (149 words) - 17:25, 31 March 2018
...ngruence (cf. [[Congruence of lines|Congruence of lines]]) with indefinite principal surfaces.
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$#C+1 = 75 : ~/encyclopedia/old_files/data/P074/P.0704690 Principal fibre bundle
The significance of principal fibre bundles lies in the fact that they make it possible to construct asso
6 KB (847 words) - 20:45, 12 January 2024
...scending chains of normal subgroups have finite length. If a group has two principal series, then they are isomorphic, i.e. they have the same length and there
The terminology "principal series" is almost never used in the West. Instead one uses chief series. T
2 KB (254 words) - 16:51, 30 December 2018
$#C+1 = 45 : ~/encyclopedia/old_files/data/P074/P.0704660 Principal curvature
...direction, i.e. in a direction in which it assumes an extremal value. The principal curvatures $ k _ {1} $
4 KB (610 words) - 14:54, 7 June 2020
$#C+1 = 9 : ~/encyclopedia/old_files/data/P074/P.0704750 Principal normal
is the parametric equation of the curve and the value $ t _ {0} $
1 KB (159 words) - 08:07, 6 June 2020
The principal linear part of increment of $Q$ under its transformation induced by the loc
...nsor, density, etc.), then the Lie differential $\delta_X Q$ describes the principal linear part of variation with time of $Q$ from the point of view of an obse
1 KB (181 words) - 19:31, 28 December 2014