Sentence examples for a direct proof of from inspiring English sources

This is a direct proof of the spherical shape of Earth, a discovery made by the ancient Greeks.

As the scientists themselves carefully noted, "It is important to acknowledge that our research does not provide a direct proof of subjective experience".

She said: "The rape culture of India is a direct proof of complete disregard for women's & girls' rights and bodily integrity".

We give here a direct proof of the equivalence of statements (h2), (h3) (h5) and (h6).

As a direct proof of Theorem 3.1, we obtain the following results.

Proof As an illustration, we include a direct proof of case (b) when condition (ii ') is fulfilled.

We did not show a direct proof for regulation of SERCA via NFAT in vivo, but previously we [ 17] and others [ 1] could show that calcineurin NFAT is involved in SERCA upregulation.

Furthermore, the marked area highlighted the opened CNT tips, which provides a direct proof for the opening of the exposed CNTs by oxidative plasma.

This provides a new, direct proof of a result of Šesǔm, which asserts that the curvature of a solution on a compact manifold cannot blow up while the Ricci curvature remains bounded, and extends its conclusions to the noncompact setting.

A direct proof is given of Voiculescu's addition theorem for freely independent real-valued random variables, using resolvents of self-adjoint operators.

A direct proof by induction of the fact that convexity implies fractional superadditivity inequalities (which include balancedness) is given in [6].