Sentence examples for is increasing proof from inspiring English sources

We still conduct interviews, even though there is increasing proof not to mention plentiful anecdata that such practices are not a good judge of a worker's abilities.

The toxic character of nitrite to ruminants leads to the controversy of nitrate supplementation, even though there are increasing proofs that nitrite would not accumulate to the toxic level in the rumen of sheep acclimated to nitrate supplementation.

Let f : [ 0, ∞ ) → [ 0, ∞ ). Assume that f is amenable and there is a periodic function g such that f ( x ) = x + g ( x ) for all x ≥ 0. Then f is metric preserving if and only if f is increasing and subadditive. Proof The proof can be found in [[8], p.32] and [[16], Theorem 1].

Let (x, yin L_{2}(mathcal{M})^) be invertible and (zin mathcal{M}), let (f v =Vert x^{v}zy^{1-v}+x^{1-v}zy^{v}Vert _{2}), then f is decreasing on ((-infty, frac{1}{2}]) and is increasing on ([frac{1}{2}, +infty)). The proof can be done similarly to that of Theorem 3.23 in [23].

(I) ∑ λ ∈ Λ | I ( λ, x ) | ≤ M < ∞ for all x ∈ L l o c 1 ( a, b ], and x ↦ I λ,x) is increasing for all λ ∈ Λ. Proof: The given hypotheses imply that (4.6) defines a mapping g : L l o c 1 ( a, b ] → A R [ a, b ] that is increasing and order-bounded. Thus, the IVP (3.1) has by Proposition 3.1 the smallest solution u* and the greatest solution u* in S, and they are increasing with respect to g and c.

t ∈ [ 0, 1 ], is weaker than the following condition: there is x 0 > 0 such that H ( t, x ) is increasing in x ≥ x 0 > 0, which is equivalent to the condition: f ( t, x ) x is increasing in x ≥ x 0 > 0. Proof Let ( x n ) n ≥ 1 ⊂ W 1, p [ 0, 1 ] be a sequence such that | φ + ( x n ) | ≤ c, ( 1 + ∥ x n ∥ ) ∥ φ + ′ ( x n ) ∥ ( W 1, p ) ∗ → 0, as  n → ∞. (3.2).

A procedure is described to evaluate the loads in individual plate and tube elements as the axial shortening is increased until the 0.2% proof strain for the VHS tube material is attained.

Thus, production of 1-propanol may be increased further over the proof-of-concept established in this study.

This inequality has the feature of being sharp, since the constant (4pi ) at the denominator cannot be increased, and of having an elementary proof.

Increasing proofs have shown that Tbr2 is involved in adult neurogenesis in SGZ.

Consequently, there is an increasing number of proofs suggesting that gut microbiota, through a variety of processes, can influence physiological processes important for the development of CVD (Hazen and Smith, 2012).