Sentence examples for equal proof from inspiring English sources

The rejuvenation of Mauresmo isn't as sensational as Capriati's comeback, but the two practice partners on the court Saturday appeared as equal proof of how contentment can produce winners.

It is a reliable and an equal proof of value for everyone.

With nonmaleficence, absence of evidence of harm does not equal proof of absence of harm; the incidence of harm from heparin is credible and has not been systematically examined.

It can be noted that the determination coefficient (R2) for best and worst ranked correlations is equal which proof that the R2 can't be considered alone for correlation evaluation.

According to the Apple calculus, simple equals idiot-proof and that equals success.

They winced and clapped and grinned for both sisters in perfectly equal measure, lounging proof of Oracene's philosophy that: 'It doesn't matter who wins at all.

In (3), (f_H) is such that the maximum stress (sigma _s) is equal to the proof stress (sigma _mathrm{proof}).

Theorem 7 The clique number ω ( Γ ( P M ) ) is equal to 3. Proof By Figure 1, we have three types of maximal complete subgraphs of Γ ( P M ).

Theorem 6 The chromatic number χ ( Γ ( P M ) ) is equal to 3. Proof Let us consider the vertex x in the graph Γ ( P M ) drawn in Figure 1.

However, H is the non-collision hash function, it is impossible to generate the ciphertext and the random value equals the winning proof H(R||f 0||f 1||···||f m − 1).

Lemma 2.4 If a C 0 solution f : R → R of (2.1) with c = 0 has a nonzero fixed point, then at least one of its characteristic roots equals 1. Proof Assume that f = μ ≠ 0. Substituting x = μ into (2.1) with c = 0, we have F 0 [ r 1, …, r n ] ℓ ∈ Z = 0, i.e., ∏ i = 1 n ( 1 − r i ) μ = 0. Then one of r i ( i = 1, 2, …, n ) equals 1.