Sentence examples for at given value from inspiring English sources

After extrapolating tw to 0, 1/T2∝fλv(λ≈1) occurs for all batches of suspensions at given value of τCP, where λ increases slightly with increasing τCP for each batch of suspension.

The value of critical displacement u c (δ c ) in dependence (7) is calculated as the solution of equation: {F}_f={F}_{DFT}left({u}_cright) (12 relatively to displacement u c at given value of applied load F f (Fig. 2); where F DFT is DFT-dependence of force on the contact bond length, which is interpolated by quadratic splines.

Let us define the error estimate δ i, ϵ between the exact solution u ( ⋅, y ) and regularized solutions u i, ϵ ( ⋅, y ) at given value y δ i, ϵ ( y ) = ∥ u ( ⋅, y ) − u i, ϵ ( ⋅, y ) ∥. Here, u i, ϵ regularized solutions are calculated by the first regularization solution ( i = 1 ) with α = ϵ 1 / 2, β = − 1 ln 8 ϵ and the second regularization ( i = 2 ) with α = ϵ 1 / 2, β = − 1 ln 10 ϵ.

For a particular class of theoretical oscillators derived from mass action kinetic models, oscillations appear provided that some of the concentrations are kept constant at given values.

The fragility curve is defined as the conditional probability of failure of a structure, or its critical components, at given values of seismic intensity measures (IMs).

The initial relative T2 increase rate is roughly proportional to fv for each batch of suspensions at a fixed value of τCP and roughly proportional to R−1eff at given values of τCP and fv.

Of course, one can always define an equivalent object which would behave as the molecule under investigations, meaning that lp can be correlated to virtual cross sections at given values of E/ kB T.

The medium was continuously stirred at 100 rpm and the pH was maintained automatically at a given value using 3 N KOH (except for the unregulated pH fermentation).

The output cell voltage, which is the potential difference between the two current collectors, is fixed at a given value.

There is a considerable overall variability of the crack growth rates at any given value of ΔK.

Range filtering allows for an open-ended range of values, so that ":2" excludes data up to, or "2:" beginning at, the given value (2 here), respectively.