Sentence examples for left translation from inspiring English sources
If is a semigroup and is left translation invariant, a submean on is left subinvariant if for each and.
C*-algebraic deformations of homogeneous spacesG/Γare constructed by completing dense subspaces ofC0(G/Γ) in a different multiplication andC*-norm; these deformations are equivariant in the sense that they still carry a natural action ofGby left translation.
Now, we have another real-analytic diffeomorphism (mathrm {Sp}_mathbb {R} times M rightarrow mathrm {H}(W^s)) by ((g,m) mapsto m g^{-1}), which transfers left translation in (mathrm {Sp}_mathbb {R}) to right multiplication on (mathrm {H}(W^s)), and by using it we can repeat the above construction.
Specifically, if g is an element of the group G, there is a bijection from G to itself called left translation by g sending h ∈ G to.
Let be a semitopological semigroup and a left translation invariant subspace of containing constants and which separates closed subsets of If has a left invariant mean, then is left reversible.
A residually finite group acts on a profinite completion by left translation.
We also show that the heat kernel measures are quasi-invariant under right under right and left translations by finite energy loops.
Moreover, the action of the group (mathrm {Mp}) on itself by left translations induces on (mathrm {Mp} times M simeq widetilde{mathrm { H}} (W^s)) an (mathrm {Mp} -action which, by construction, satisfies the relation begin{Mp} -actionu _H(g cdot h) = tau (g) tau _H(h) quad (g in mathrm {Mp},,,, h in whichilde{mathrm {H}}(W^s) ).
When are you leaving" (Translation: I HATE YOU. No, not really. Well, yes, I do, but I'm trying not to let my envy show).
7. If portions of the back-translation are not approved, then the translation is sent back to the three translators who may change the translation, change the back-translation, or leave the translation as it is, providing a justification to the survey research consultant (or author).
The project manager discusses concerns with the three translators, who may change the translation, change the back-translation, or leave the translation as it is, providing a justification to the project manager.
