Sentence examples for function proof from inspiring English sources

We present a simple Bellman function proof of a bilinear estimate for elliptic operators in divergence form with real coefficients and with nonnegative potentials.

ETP is a concave function (proof in "Appendix A").

Simulation suggests that the null distribution of T r is negatively skewed, but that for sufficiently large N and possibly certain conditions on r this distribution is asymptotically normal, independent of distribution function F. Rosenbaum ([2005]) proves that T r is asymptotically normal for r = 1 for any distribution function; proof of this conjecture for r > 1 remains an open problem.

These didn't resemble the blocky Jerusalem crosses worn by the Crusaders, but they served the same function: proof of faith and/or pilgrimage.

This will function as proof of ownership, and show the execs you're not to be trifled with.

Based on a combined quadratic Lyapunov function, the proof of the closed-loop system stability is completed.

We present a unified soft-core technique that ensures the monotonicity of the numerically integrated function (analytical proof) which is important for the selection of intermediates.

where Γ is the gamma function (see Proof of Proposition 2).

Since the general notions of "function" and "proof" are not themselves finitary, the finitist is unable to make sense of Tait's thesis that everything provable in PRA is finitistically true.

So, using the reduction formula Γ ( n + 1 ) = n Γ ( n ) ( n > 0 ) for the Euler gamma function, the proof is completed.

While it is very difficult to know that animals do not eat the control substance (since the absence of evidence cannot function as proof), with humans it is possible to ask which similar substance they would not eat.