Sentence examples for if some exists from inspiring English sources
This motivates us to restrict ourselves to a class of LGT networks satisfying a set of conditions that guarantee, on the one hand, that their reduced principal and secondary subtrees are pairwise different and, on the other hand, the uniqueness of the restricted LGT network with given reduced principal and secondary subtrees, if some exists.
The analysis of the failures shows that the usual design requirements for prestressing bars fail to warn against brittle failures if some damage exists.
Our findings further suggest that if some ambiguity exists about the product — for instance, oatmeal cookies could be framed as either healthy or indulgent — then it would be safer to use the healthy framing when using a busyness appeal.
Such behavior can happen only if some diffusion exists in the original PDE, while, as we discussed earlier in Sect.
If some distance exists between the pump and the culture tank an air-inlet just behind the pump will continually blow all food out of the feed lines, towards the culture tank.
And if some do exist, they're a rarity, experts said.
Abuse was justified if some reason existed for this loss of control.
Theorem 3.1 Equation (1) has an eventually positive solution in A ( ∞, ∞, b ) for some positive b if and only if there exists some constant K > 0 such that ∫ t 0 ∞ f ( t, K R 2 ( h ( t ) ) ) Δ t < ∞. (11).
Moreover, if there exists some but, then by (iv), we have for some.
A function is said to be in the space if there exists some constant such that for any cube centered at some point of (1.8).
