Sentence examples for a set of regularity from inspiring English sources

After a sufficient amount of iterations, the algorithm converges under a set of regularity conditions and the sampled values are samples from the true posterior.4 The algorithm for the model in this paper ran for 100,000 iterations, and convergence statistics do not indicate that the algorithm has not converged.

These rules spell out the overall assumption that discourse is coherent and that this coherence can be further elaborated on by proposing a set of regularities.

We use "vein network geometry" to indicate a set of regularities in the shape and relative position of the veins in a network e.g., whether the midvein is I- or Y-shaped, and whether the vein network outline is scalloped or smooth irrespective of the topology of the vein network.

Nils Martensson, acting chairman of the Nobel Committee for Physics, told a news conference the winners had discovered a set of totally unexpected regularities in the behavior of matter.

Natural scenes are fundamentally different from most stimuli used in lab, since they contain a rich set of regularities that are not present in simple stimuli.

Theorem 1.1 Let u ∈ L m ( − T, 0 ; W 1, m ( Ω, R N ) ) ∩ L ∞ ( Q T ; R N ) be a weak solution to system (1.9) under the assumptions (H1 - H4) and the natural growth condition (H5) and denote by Q 0 the set of regularity points of u in Q T : Q 0 = { z ∈ Q T : D u ∈ C β, β / 2 ( O, R n N ), O ⊂ Q T is a neighborhood of z }.

> Our results shows that using a set of linguistic patterns based on the regularities observed in the expression of patient information in clinical abstracts, we were able to identify 50 more case reports that had not been tagged as such.

It is evident by looking at Figure 2, however, that this long-range order is constructed from a set of building blocks that express symmetries and regularities at a local level, involving fewer fields and a smaller set of constraints.

ApEn is a measure of 'irregularity'; smaller values indicate a greater chance that a set of data will be followed by similar data (regularity), and a greater value for ApEn signifies a lesser chance of similar data being repeated (irregularity).

One example of a regularity property is the Lebesgue measurability: a set of reals is Lebesgue measurable if it differs from a Borel set by a null set, namely, a set that can be covered by sets of basic open intervals of arbitrarily-small total length.

This work presents an application of this approach to the discovery of a so-called visual field as the set of regularities that a visual sensor imposes on a naive agent's experience.