Sentence examples for is essentially arbitrary from inspiring English sources

The number is essentially arbitrary, though he admits he cannot think of an eighth element that compares in global impact to iron, carbon, gold, silver, uranium, titanium or silicon.

Whatever respectability their concepts possess in their original homes will be lost once they fall into the hands of the metaphysician, because the procedure of the latter in taking them up and extending them is essentially arbitrary.

This mapping, due to the first hidden layer of nonlinear elements, is essentially arbitrary and in particular it is not restricted to the linear case.

The internal composition of rocks can be structured, but the orientation of a mineral's surface relative to the cutting plane is essentially arbitrary, and thus the 3D structure is unpredictable from a single cross-section.

A more general one which is sufficient for that purpose is the following (bar{partial } -estimate from [27] where only one weight has to be plurisubharmonic and the other one is essentially arbitrary: Let (Omega ) be pseudoconvex in (mathbb C^n) and (alpha in L^2_{loc,(0,1)} -estimatebe (bar{partial })-closed.

The choice of 13 points is essentially arbitrary but approximately corresponds to shifting from the level of none (0 13) to mild (14 25) or from mild to moderate (25 38) depressive symptoms [31], [32].

Justice Kagan properly pointed out that this analysis was essentially arbitrary.

The first is that electoral outcomes, as far as "the will of the people" is concerned, are essentially arbitrary.

If the location of a new industry was essentially arbitrary, then a government, by subsidizing and protecting its emergence, could enable it to gain such a lasting advantage that other countries would find it difficult to catch up.

Using them to make feathers pretty instead of mopping up oxidative molecules thus has a significant cost as this result shows.The reason this is interesting is that there is a debate in biology between those who think signals such as flashy feathers are essentially arbitrary and those who think they are signs of underlying health and good genes.

The selection of cluster and sub-cluster ranges was essentially arbitrary.