Sentence examples for each special case from inspiring English sources

If there are N synapses, each special case will need N+1 runs and N comparisons of test vs. control.

For each special case we derive also consistent sets of dynamic and kinematic boundary conditions expressed entirely through the intrinsic field variables.

For general metric spaces E such selections do not always exist, and the technical arguments, which have seemed to be necessary in each special case, are quite delicate.

The reduced anelastic and pseudo-incompressible soundproof equations and the fully compressible Euler equations are combined into a common form of conservation laws for mass, momentum and entropy that facilitates the design of a sole principal algorithm for its integration, with minimal alterations for accommodating each special case.

We list below these special cases and state how Equation 3 should be modified to solve the throughput maximization problem for each special case.

As things stand at present, we trust to empiric measures to overcome this contraction of the muscles, whereas in reality mathematical precision should be used, in each special case.

Those three Congressional outbursts were each special cases, not a trend, he says.

We compare synchronous dataflow (SDF) and cyclo-static dataflow (CSDF), which are each special cases of a model of computation we call dataflow process networks.

for p≥1 and p∈ 0,1] being each time a special case of (3) and (4), respectively.

6See also Mulligan (2012) and Bertola (2013), who each use a special case of Holmstrom and Milgrom (1987) to qualitatively model changes in labor market policies after "crises".

Remark 2.1 Since each nonlinear contraction includes the case of linear contraction as its special case, each fixed point theorem in the above theorem implies a fixed point theorem for linear contraction.