Sentence examples for proof of constant from inspiring English sources

This cautiousness, I gathered, sometimes confounded the fiel's expectations of aggressive running, as proof of constant effort — a blue-collar style for a blue-collar team.

Recently Ohsawa [40] has given a significantly more elementary proof of the optimal constant extension theorem.

Despite abundant, constant proof of her powers (reviews her mother could hardly improve on, fan mail by the bushel), Ms. Fleming is far from complacent.

Proof Similar to the proof of Theorem 2.5, a constant CNN is reduced to a classical CNN whenever | Λ | = 1, hence Theorem 2.9 is performed in this case.

In the proof of Theorem 1, the constant (N_{W}) depends on (W t)), which means that (N_{W}) may be different for different trajectories (W t)) of Brownian motion.

The result follows by applying the variation-of-constants formula several times and from the Lipschitz continuity of b, see the proof of Theorem 1.

The best proof of their work is a constant increase of the number of foreign tourists visiting Russia.

From the proof of Theorem 3.2, the positive constant (tilde{lambda}_{0}) is given by (tilde{lambda} _{0}=min {frac{1}{gam_{gamma_{1}widetilde{tilde{A}},frac{1}{gamma gamma_{2} m_{1}widetilde{D}} }).

From the proof of Theorem 3.3, the positive constant (tilde{mu}_{0}) is given by (tilde{mu}_{0}=min {frac {1}{gammagamma_{1} m_{2}widetilde{B}},frac{1}{gammagamma_{2} m_{2}widetilde{C}} }).

For the proof of the sharpness of the constant (( int_{alpha}^{beta} vert mathcal{F}(t)vert ^{q},dt ) ^{frac{1}{q}}) let us find a function ϕ for which the equality in (3.9) is obtained.

end{aligned} For the proof of the sharpness of the constant (( int _{alpha}^{beta} vert mathcal{S}(t)vert ^{q}, dt ) ^{frac{1}{q}}), let us find a function ϕ for which the equality in (3.8) is obtained.