Sentence examples for patterns of finite from inspiring English sources

Since Y ≅ ∏ j ∈ Λ Y j, the total number of patterns of finite length in a constant CNN relates to the number of patterns in the subspaces.

This subsection elucidates the influence of the boundary condition on the exact number of mosaic patterns of finite length and on the growth rate as the length increases.

Next, to study the influence of boundary conditions on the exact number of patterns of finite length, we consider the effect on the growth rate of the number of patterns; more specifically, the topological entropy of the output space Y.

Mathematically exact 2D translation symmetry (and the 2D crystallography that builds on it) requires patterns that are infinite in extent and perfect, but the concepts are also useful as approximations for periodic patterns of finite size and patterns where a few individual array members are missing or misplaced, i.e. typical SPM images.

Each point in the object is imaged into a diffraction pattern of finite width, and the final image is a sum of individual diffraction patterns.

A stoichiometric formula notation (SFN) is defined to encode materials with known atomic or substructural stoichiometry, but without a discrete pattern of finite atom connectivity (molecular structure) that could be captured in a SMILES notation.

The standing wave existence is also proven by the displacement patterns of the finite element theoretical model.

We compared expression patterns in cultures of finite life-span cells from pleural effusions or ascites of breast cancer patients (Mount Sinai School of Medicine: MSSM) with commercially-available finite life-span normal breast epithelial cells (HMECs).

The degree pattern of a finite group G associated to its prime graph has been introduced in (Moghaddamfar et al. in Algebra Colloq. 12(3):431-442005005) and denoted by D ( G ).

This new approach allows the construction of local conditions that (a) are independent of the frequency regime, (b) preserve the sparsity pattern of the finite element discretization, and (c) are applicable to arbitrarily shaped convex artificial boundaries.

A good agreement was found by comparing deformed shapes, crack patterns and capacity curves of finite element models included in this study.