Sentence examples for quantities such that from inspiring English sources

The calorie-restricted diets were fed in quantities such that they were calorically equivalent.

The model has been employed for performing an extensive parametric study relevant to effect of quantities such that micro-cavity dimensions, gas pressure inside the micro-cavity, and dielectric permittivity on the PD development within MM and DD micro-cavity.

You may bring over quantities such that it is suitable for your use only.

Given ((a_epsilon )_{epsilon >0}in mathbb {R},, Theta _gamma (a_epsilon )) will denote a quantity such that, as (epsilon rightarrow 0).

The purpose of the fuzzy expected value model is to find the optimal order quantity such that the fuzzy expected value of the total cost is minimal.

Since these correlations remain conditional on the full prior state (S1), there can be no quantity such that conditional upon a prior value of this quantity A and B are uncorrelated.

The restricted isometry constant δ K of matrix A is defined as the smallest quantity such that 1 − δ K θ l 2 2 ≤ Α θ l 2 2 ≤ 1 + δ K θ l 2 2 (4).

According to Dowe the relata in true 'manifest' (common sense) claims of causation must be translated to physical states of the sort discussed above ('object a has a value q of a conserved quantity') such that the manifest causal claim supervenes on some physical causation.

Most significantly, although this approach maybe a little more time-consuming than the more common silane coupling reaction, in the present study the "long" arm may be produced in sufficient quantity such that all of the asymmetric stars are produced with long arms of identical molecular weight – the only remaining variable being the molecular weight of the short arm.

A matrix Φ satisfies the restricted isometry property of order s if there exists a constant δ s, defined as the smallest positive quantity such that (1-delta_{s})|mathbf{x}|_{2}^{2}leq |mathsf{Phi} mathbf{x}|_{2}^{2}leq (1+delta_{s})|mathbf{x}|_{2}^{2} holds for all x∈Ω s, where (Omega _{s}={ mathbf {x}in mathbb {R}^{n} |~|mathbf {x}|_{0}leq s}).

Denote by S ( r, f ) any quantity such that S ( r, f ) = o ( T ( r, f ) ), r → ∞ without restriction if f ( z ) is of finite order and otherwise except possibly for a set of values of r of finite linear measure.