Sentence examples for provided they exist from inspiring English sources

We denote the left intersecting time by (underline{delta}_{m}) and the right one by (overline{delta}_{m}) provided they exist.

So in addition to the detected mode, we will consider the neighbor modes m + 1 and m − 1 provided that they exist.

Define the Laplace exponent of L and (L_{theta}) as phi(s)=log E bigl[e^{-sL(1)} bigr] quadmbox{and} quadphi_{theta}(s)= log E bigl[e^{-sL_{theta}(1)} bigr], provided that they exist.

However, the trees are rare, and since tall trees require more water than the savanna environment could generally provide, they probably existed in narrow tracts or "gallery forests" along rivers and gulleys where water could accumulate.

It allows other parties to exist only provided they do not pose a real threat.

Register and use provided plugins if they exist (eg. for wordpress) or integrate it as needed to your website.

We prove that they exist provided that the lengths of the sub-spans are properly chosen.

Thus individuals and their immediate descendants that provide a benefit to another species or strain personally receive the reciprocation for providing that benefit because they exist in groups to the exclusion of other genotypes.

Ultracentrifugation and size fractionation establish that the 5′ tRNA halves circulate as part of a larger complex, but are not contained in exosomes or microvesicles; their sensitivity to the chelating agent EDTA provides further evidence that they exist as circulating nucleoprotein complexes.

Kant accepted without reservation that "God, freedom and immortality" (1781/7, Bxxx) exist but feared that, if science were relevant to their existence at all, it would provide reasons to doubt that they exist.

They are keeping alive the two-party system that they exist to provide an alternative to, immolating themselves in that counter-intuitive process.