Sentence examples for unitary structures of from inspiring English sources

In this work the unitary structures of these realizations are directly related to the orthogonality relations for the matrix coefficients of these representations.

2.3 the isomorphism (psi :, mathbb {C}^N rightarrow (mathbb {C}^N ^*) and arrange for it to be an isometry, (overline{psi ^{-1}} = psi ^mathrm {t}), of the unitary structures of (mathbb {C}^N) and ((mathbb {C}^N ^*).

That is why the unitary structure of reticence-guilt-anxiety characterizes the Being of authentic Dasein.

end{aligned} (2.11 Let us mention in passing that (2.11) coincides with the unitary structure of (mathfrak {a}(V)) used in the Hamiltonian formulation of quantum field theories and in the Fock space description of many particle systems composed of fermions and bosons.

For all (v_0 in V_0) and (v_1 in V_1) the pairs of operators (delta (v_0)), (mu (cv_0)) and (iota (v_1)), (varepsilon (cv_1)) in (mathrm {End} (mathfrak {a}(V))) obey the relations begin{aligned} delta (v_0)^dagger = mu (c v_0), quad iota (v_1)^dagger = varepsilon (c v_1), end{aligned} i.e., they are mutual adjoints with respect to the unitary structure of (mathfrak {a} (V)).

Asked on his return from a visit to Saudi Arabia late on Thursday whether an executive presidency was possible in Turkey while maintaining the unitary structure of the state, Erdogan said: "There are already examples in the world.

When asked whether an executive presidency could coexist with the unitary structure of the state, a new government Erdogan supports in his constitutional change proposal, he replied "There are already examples in the world.

Asked on his return from a visit to Saudi Arabia late on Thursday whether an executive presidential system was possible while maintaining the unitary structure of the state, he said: "There are already examples in the world.

A unitary structure on the spinor oscillator module (mathfrak {a}(V)) is now defined as follows.

One of the measures can be used to define the unitary structure for the basic representation of the affine extension of the restricted unitary group.

The indicative conclusions of such a study in perspective can substantiate the selection of the R EO nPD unitary structures in the structuring of surface-active couples that would ensure optimized applicative interfacial properties (Figure 14).