Sentence examples for are strongly equivalent from inspiring English sources

Informally speaking, two sets of rules are strongly equivalent if they have the same meaning in any context.

Equilibrium logic was used to prove that sets of rules expressed as propositional formulas are strongly equivalent if and only if they are equivalent in the logic of here-and-there.

Thus if ψ and χ are strongly equivalent, nothing prevents ψ from being non-determined in a model, as long as χ also is.

We introduce a natural notion of strong Morita equivalence of twisted coactions on C*-algebras and then show that the corresponding twisted crossed product C*-algebras are strongly Morita equivalent.

We say that the sequences { A k } and { B k } are strongly asymptotically lacunary equivalent (in the sense of Wijsman) of multiplicity L if for each x ∈ X, lim r 1 h r ∑ k ∈ I r | d ( x, A k ) d ( x, B k ) − L | = 0. (denoted by { A k } ∼ [ W N ] θ L { B k } ) and simply strongly asymptotically lacunary equivalent (in the sense of Wijsman) if L = 1.

For any non-empty closed subsets A k, B k ⊆ X, we say that the sequences { A k } and { B k } are strongly Cesàro asymptotically equivalent (in the sense of Wijsman) of multiplicity L if for each x ∈ X, lim n 1 n ∑ k = 1 n | d ( x ; A k, B k ) − L | = 0. (denoted by { A k } ∼ [ W σ 1 ] { B k } ) and simply strongly Cesàro asymptotically equivalent (in the sense of Wijsman) if L = 1.

Students who have taken Computational Tools for Data Science CPSCC 262/STAT 262) and/or Quantitative Linguistics using Corpora (LING 234/634) and/or Computational Methods for Analysis and Modeling of Biological Data (CPSC 453a) or equivalent are strongly encouraged to apply.

We show the "35K" virulence gene in variola and cowpox viruses, whose vaccinia and Shope fibroma virus equivalents are strongly conserved in sequence, actually encodes a secreted soluble protein with high-affinity binding to virtually all known beta chemokines, but only weak or no affinity to the alpha and gamma classes.

For any non-empty closed subsets A k, B k ⊆ X, we say that the sequences { A k } and { B k } are strongly Cesàro asymptotically p-equivalent (in the sense of Wijsman) of multiplicity L if for each x ∈ X, lim n 1 n ∑ k = 1 n | d ( x ; A k, B k ) − L | p k = 0. (denoted by { A k } ∼ [ W σ ( p ) ] { B k } ) and simply strongly Cesàro asymptotically p-equivalent (in the sense of Wijsman) if L = 1.

For the monitoring of large structures where the loading is typically characterized by large uncertainties in temporal and/or spatial evolution, algorithms capable of estimating a set of response driving equivalent forces are strongly desired.

We say that two non-negative double sequences ( x k, l ) and ( y k, l ) are strongly asymptotically ℐ-lacunary p-equivalent of multiple L if for every ε > 0, { ( r, s ) ∈ N × N : 1 h r, s ∑ ( k, l ) ∈ J r, s | x k, l y k, l − L | p ≥ ε } ∈ I. denoted by ( x k, l ) ∼ I ( N θ ¯ ) p L ( y k, l ) and simply strongly asymptotically ℐ-lacunary p-equivalent if L = 1.