Sentence examples for a straightforward verification from inspiring English sources
Since the function is nondecreasing with respect to and, a straightforward verification shows the validity of the inequalities (2.15).
Since the canonical embedding mapping J is random-norm preserving and linear, and (J(E =E^{astast}), it is a straightforward verification by Theorems 3.8 and 3.9.
A straightforward verification infers that n j = [ n 2 j + 1 + 1 2 ]. for j < k and k = [ log 2 n ].
The proof consists from a straightforward verification that the conditions (Equation 52) are satisfied for [ K ] D = { [ K ] G AB E } Open image in new window and g AB = g a ' b ', h ab Open image in new window.
If P 1 ( t ) fulfils the last inequality above, a straightforward verification yields that the conditions of Theorem 2 are satisfied and therefore (14) has a positive solution which tends to zero.
With Eq. (9), the real axis in the complex X plane is transformed into a circle having the radius a which satisfies the equation (15)and having the center at (16)(a straightforward verification of this is given in Appendix B).
This fact supports simple and straightforward verification that the spheroplast form required for transformation of the Vac- mutant has been achieved.
Proof The statements (i)–(vii) are straightforward verifications invoking Lemma 5.1.
Second, it restricts the distance between partitions to ensure a straightforward query constraint verification.
The company just introduced a trio of new features designed to make Instagram a generally safer and more authentic place to hang out (third-party 2FA — enable it!) and for the first time the platform now offers users a straightforward way to request verification.
Furthermore, we show how researchers, fire managers and other stakeholders can take advantage of a new open-source climate service in order to undertake all the necessary steps for data download, post-processing, analysis and verification in a straightforward and fully reproducible manner.
