Sentence examples for be proved by reducing from inspiring English sources

The existence of solution (6) can be proved by reducing to this special case.

As a consequence, most of the results from the papers [6, 21, 22, 31] can be proved by reducing them to respective known results in (standard) g.m.s.

In fact, the fixed point problem in the setting of cone metric spaces is appropriate only in the case when the underlying cone is non-normal with non-empty interior (such cones are called solid) because the results concerning fixed points and other results in this case cannot be proved by reducing to metric spaces.

In fact, if ({mathcal H}^n(E rightarrow 0) and also (varvec{beta }^2(E /mathbf {P}(B_vartheta )rightarrow 0), then E behaves asymptotically like a flat set, i.e., a set in (mathbb {R}^n) and inequality (5.39) can be proven by reducing to the euclidean case, rescaling and then arguing as when E has large volume.

As it can be proved by simulation results, our strategy helps in reducing the sensing errors and to improve the ED's sensitivity by alleviating the negative effects of the noise uncertainty.

Whether the mortality rate of benign gastrointestinal complication is reduced by modern radiotherapy (reduced target doses, more limited fields) has to be proven by forthcoming analyses.

Transferability can be proven by thick description.

Theory is proved by simulation.

This is proved by an animal study.

Lemma 2 is proved by straightforward enumeration.

This study was proved by Institutional Review Board of Qianfoshan Hospital, Shandong University.