Sentence examples for if there also exist from inspiring English sources

If there also exist a compact subinterval of and such that (1.8).

If there also exist an (N in mathbb{N}), (alpha>0), and (delta>0) such that bigl| mathcal{A}_{n}^{-1}bigr| leq alpha,qquad bigl| mathcal{D}_{n}^{-1}bigr| leq delta, quadmbox{for }ngeq N, and lim_{nrightarrowinfty}|mathcal{B}_{n}| = lim _{nrightarrow infty}|mathcal{C}_{n}| = 0, the error for our method can be estimated as in the following theorem.

If there exists a level-k network representing 𝒞, then there also exists such a network satisfying the decomposition property w.r.t.

Now, some Fregeans might want to say that the property of redness just is the concept of redness, and if so, then they could maintain with Russellians that if there exist propositions, then there also exist properties and relations.

But there also exist some problems.

There also exist correlations among these variables.

What if in addition to "self-efficacy" there also existed "social-efficacy"?

However, there also exists a second explanation.

There exists mystery but there also exists a rich nature from which to extrapolate.

However, with the method used, we cannot determine if there may also exist membrane bound ERα.

It only makes sense that if there is positive spiritual energy in the universe, there must also exist an opposing force of the negative.