Sentence examples for extends to one from inspiring English sources

It is shown constructively that if the unit ball of R is weak-operator totally bounded, then an ultraweakly continuous linear functional on R extends to one on B(H), and the extended functional has the form T↦∑∞n=1 〈Txn, yn〉, where ∑∞n=1 ‖xn‖2 and ∑∞n=1 ‖yn‖2 are convergent series in R.

A piece of simple kinematics that says that the two body estimate in step 2 extends to one for (v_{ij}(x_i-x_j)) as an operator on (L^2({mathbb {R}}^{3N})).

(3) A piece of simple kinematics that says that the two body estimate in step 2 extends to one for (v_{ij}(x_i-x_j)) as an operator on (L^2({mathbb {R}}^{3N})).

The positive predictive value for diagnosing meniscal tears increases from 53 %, when the diagnosis is based on only one sagittal image in which the linear change extends to one of the meniscal surfaces, to 90%%, when the longitudinal linear signal contacts the meniscal surface in two consecutive sagittal images [5].

This priority extends to one offer of accommodation per student.

That extends to one of its other new attractions, the Singapore Flyer.

This workshop environment extends to one-on-one karaoke time with close friends.

Currently the refund policy extends to one-way tickets.

The proof is based on the concept of types extended to one parameter family of points.

Positive margins were defined as the presence of granulomatous inflammation or necrotic tissue extending to one or more of the surgical excision margins on histopathological examination [ 16].

But his charity extended to one night.