Sentence examples for an arbitrarily way from inspiring English sources

Such laminates consist of a number of layers arranged in an arbitrarily way.

Applying this model within a group (for example, within group 1) we could assert a Bernoulli process with (p:=p_{ij}^{(xx)}) the (unknown) probability that object (X^{i}) and (X^{j}) would vote the same way on an arbitrarily selected vote.

However, this increase cannot grow in a linear way for an arbitrarily large number of threads, due to a number of reasons.

We propose a way to aggregate an arbitrarily large set of diagnoses to return an estimate of the likelihood of a given component to be faulty.

The traditional objection to time travel is that it leads to contradictions: there is no consistent way to complete an arbitrarily constructed story about how the time traveler intends to act.

To obtain the true net benefit, we simulated data in the same way but with an arbitrarily large data set and Y i equal to T i. Due to the absence of censoring, the true positives are subjects with x = 1 and T i < t and the false positives are subjects with x = 1 and T i > t.

In such cases, sampling methods offer a way to explore the posterior distribution via an arbitrarily large sample drawn from it without requiring any further knowledge.

We present a highly computationally efficient way to simulate the deformation of a polymeric layer when embossed with an arbitrarily patterned stamp.

The advantage of CRNT is that it provides an immediate way to analyze the type of dynamical behavior that one can expect from an arbitrarily complex reaction network, just by inspection of the topology of the associated graph.

In this sense, our k hap approximation can be viewed as a flexible and automatic way of implementing the Huang et al. (2009a) panel selection approach with an arbitrarily large number of reference populations.

Lebanon is an arbitrarily truncated slice of the Levant, home to a myriad of sects.