Sentence examples for depth of linear from inspiring English sources

We prove there is a strict hierarchy of expressive power according to the Until depth of linear temporal logic (LTL) formulas: for each k, there is a natural property, based on quantitative fairness, that is not expressible with k nestings of Until operators, regardless of the number of applications of other operators, but is expressible by a formula with Until depth k+1.

One motivation for this work is to provide a computational framework to predict the resolution and depth of linear and nonlinear optical microscopy techniques currently in use for imaging of thick tissues.

This is done in the ODM by pre-ordering the reactions so that those with larger propensity functions have smaller index values in the search list so that reactions occurring more frequently are higher up (hence applied first), thus reducing the search depth of the linear search.

The increase in thrust force with depth of cut was relatively linear, R2 = 0.80.

This figure shows that distribution of bending stress across the depth of beam is nearly linear in case of bending theory and FEM.

It is observed that the distribution of bending stress across the depth of beam section is linear in case of d/l = 0.133.

The actual indentation diameters (both plastic and total) differ from the diameters calculated from the depth of indentation measured by linear variable transducers (LVDT).

The first formulation uses the kinematic relations of large displacements with moderate rotations for the face sheets, non-linear kinematic relations for the core and it assumes that the distribution of the vertical normal stresses through the depth of the core are linear.

I used the default scikit-learn implementation of six supervised classification algorithms: Random Forests with 10 trees and maximum depth of 5 [ 23], linear Support Vector Machines (SVMs) with the ℓ norm and C of 0.1, AdaBoost [ 34] with 50 Decision Trees and learning rate 1, Gaussian Naive Bayes, Decision Trees with maximum depth 5, and K-Nearest Neighbors with k of 3.

The emission light of the resulting plasma was analysed as a function of both penetration depth and elemental spectrum in terms of linear correlation analysis.

This paper addresses the problem of linear crack quantification, crack depth estimation and localization, in structures.