About 3,380 results
|The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and Γ operators --|
|The solutions might be to design a mapping into pseudo-Euclidean space. ... The |
results also hold for Euclidean cases, i.e. when the Gram operator derived from
distances is positive definite, and co- incide with the classical scaling [7,8].
|The difference between these two interpretations depends on how the time co- |
Figure 11.9 Hermann Minkowski 1864-1909 introduced ... Euclidean space : (x, y,
z, ct) pseudo - Euclidean space : (x, y, z, ict) The multiplying factor c converts time
|In particular, for the Blaschke quasielliptic space Sl'3 , the absolute consists of a |
pair of imaginary conjugate planes, their intersection ... (The Blaschke metric in
the group of motions of the plane R2 is defined as follows: the distance co
between two motions A and B is ... space S121] whose particular cases _ __1 . n
"'0 1n the absom0 , ml ,n ,nó1,n are the pseudo-Euclidean space R7 and its dual
Dmitri♯Ư Vladimirovich Alekseevski♯Ư, Helga Baum - 2008 - Preview
|To be full is not really a restriction for submanifolds M of the Euclidean space R" |
since we may always consider the smallest affine ... there are many submanifolds
of the pseudo-Euclidean space Rp'q that are contained in an affine subspace that
is degenerate with respect to ... T^M. This implies that sx 6 O(p,q) for all x e M. We
define the transvection group of M C Rp'q by K := (sx o sy | x,y e M ) C O(p, q).
|Clearly p C O(F), so by construction (p(x) = x' . The case of a hyperboloid X is |
similar. The only difference is that the inner product determined by the
polarization of q makes V into a pseudo- Euclidean space of signature (k, 1), k + l
= n. Here the ...
|... position vector can be decomposed into a finite sum of vector eigenfunctions of |
the Laplacian of N: x:cO+x1+~~~+x;,, (7.8) where ... For integers k Z 1 and s Z 0,
every null k-type spacelike submanifold of the pseudo Euclidean m-space IE1?
|Next we want to express the Mobius invariants of a circle pair (Co, ... If 01, 02 and |
bi, &2 are orthonormal bases for the Euclidean subspaces W ,U of the pseudo-
Euclidean vector space V5 determining the circles Co, Ci, then the coordinates of
|Thus we get a Smarandachely embedded graph GR" in the pseudo-Euclidean |
space (R", ,u) by Theorem 8.4.4. ... if U I W or a bounded metric pseudo-space if
there is a number N > 0 such that Vw G W, p(w) S N, denoted by (U, to) or (U _, co