Sentence examples for now vert from inspiring English sources

The measurement that distinguishes the two possibilities is a two-outcome POVM (mathcal{E}={[e_],[e_).10 We use the displacement operator (8) to shift to the local model around (alpha_{0}), such that the possible coherent states of the auxiliary mode are now (vert 1 rangle) and (vert {-1} rangle ).

We now show Vert Ay Vert leq Vert y Vert quad mbox{for }Kcappartial Omega_{1}.

Then j and L are continuous; therefore (theta= jcirc L) is continuous on (mathcal {B}_(T,mathbb{R})) and then on (mathcal{B}(T,mathbb{R})). Let us prove now that (Vert l Vert = Vert M Vert (T)).

Let now ((E, Vert cdot Vert _{E} )), ((W, Vert cdot Vert _{W} )) be Banach spaces, let ((V, Vert cdot Vert _{V} )) be another Banach space, and let ((L (E,V ), Vert cdot Vert _{L (E,V )} )) be the space of continuous linear mappings (F Erightarrow V) with the norm (Vert F Vert _{L (E,V )}=sup_{ein E: Vert e Vert _{E}=1} Vert Fcdot e Vert _{V}).

We now estimate (Vert e^{n} Vert ) by the following analysis.

end{aligned}Now, since (vert mathbf{gen}(D) vert = 1) for any central division algebra (D) of exponent two over a global field (k), Theorem 3.5 yields the following.

Now suppose (Vert RVert =n>1) and that (R^{prime }in mathcal{S }) for every (R^{prime }in mathcal{R }^*) with (Vert R^{prime }Vert <n).

Now we have vert lambda vert ={bigl(q (delta )bigr)}^{{1}/{2}},qquad {biggl.l= frac{dvert lambda vert }{ddelta}biggr|_{delta=0}}=-frac {G}{2}>0.

Now, we consider (Vert x' Vert leq M_{2}).

Now we estimate (Vert u^{n} Vert ).

Now (Tuin C) implies (Vert u-z Vert leq Vert Tu-z Vert ).