Sentence examples for arbitrarily differing from inspiring English sources

The analysis is based on an exact elasticity formulation and analytical solution, via eigenfunction expansion, for a plate comprised of an arbitrary number of perfectly bonded isotropic layers of arbitrarily differing thicknesses and material properties.

The density function allowed to differ arbitrarily across the population is assumed to be continuous.

They emphasized that the order and identification of bnodes can differ arbitrarily with serializations of the same graph.

At the same time, the two predicted structures cannot differ arbitrarily, but must have the same shape.

Symbolic configurations manipulated by a Turing machine do not differ to arbitrarily small extent.

Seeds could arbitrarily be assigned to one or the other arms of the study, or different groups of seeds could be created, with both groups generally fitting within the umbrella characteristics of the target population, but differing in some key aspect (e.g. seed groups differing by gender or age).

These parameters were chosen arbitrarily, and the simulation results did not differ when we used different parameters (naturally, larger variance translates into larger relative error for mean estimators for any distribution).

That is, a hole transformation is a diffeomorphism on M that is the identity outside some arbitrarily selected neighborhood but comes smoothly to differ from the identity within that neighborhood.

The heterozygous sites (columns in the alignment with different values) correspond to alleles that differ between chromosomes and they are labeled as 0 or 1 arbitrarily.

This finding is related to the fact that the cutoffs to define luminal A and luminal B cancer are arbitrarily set [ 14], and by IHC they differ for the rate of Ki67 and HER2 overexpression, both characteristic of higher aggressiveness.

The 10 isolates available for study (1 per episode) were of the same serotype and sequence type, 1/2b and ST87, as isolates from the first outbreak, but these isolates differed in PFGE AscI pattern (this pattern arbitrarily named pattern B).