Sentence examples for various bounds from inspiring English sources

Depending on the particular encoding we choose, we may establish various bounds on K; one obvious bound we have already established is that C ≤ K < C + 2|σ |

We provide examples of graphs in which various bounds on k or s are attained.

It is demonstrated that, by relaxing either the equilibrium or the yield constraints (or both) on the residual stress field, the shakedown analysis leads to various bounds for the elastic shakedown limit.

The various bounds and shakedown limits obtained in the paper serve as useful benchmarks for future numerical shakedown analysis, and also provide a valuable reference for the safe design of pavements.

Forecast rationality under squared error loss implies various bounds on second moments of the data across forecast horizons.

Over the past decades, various bounds concerning certain ratios of gamma functions have been researched by many mathematicians.

Optimal estimates of the limit region have been obtained for various bounding functions.

These two form the basis for the construction of a complete stratified/nonstratified transitional boundary to the various bounding flow pattens: slug, pseudo-slug and annular.

The spreadsheets take the nucleic acid sequences and the initial concentrations of all species as input, guide the user to retrieve the necessary thermodynamic constants, and finally calculate equilibrium concentrations for all species in various bound and unbound conformations.

To verify this we searched the human-fugu CNEs against the human genome sequences that were shown to be bound by various TFs ("bound regions").

then the following corollary provides various sharp bounds for the absolute value of E ( f ; h ).