Sentence examples for are uniquely determined for from inspiring English sources

Hence g j and g ˆ j are uniquely determined, for example, the first two members read as g 0 = − 1 3 ( v 2 u ), g ˆ 0 = 1 9 ( u x x − 4 u 2 − 6 v ).

Linear independence means that the coordinates are uniquely determined for any vector in the vector space.

A topological index is a numerical quantity which is uniquely determined for a graph and invariant under graph isomorphism.

In the latter case, the rate constants will not be uniquely determined for the chosen experimental design.

Once a discharge rate is obtained from observation, the chamber pressure that meets the discharge rate is uniquely determined for each curve.

Therefore, if is uniquely determined for a given the formula of the general situation should also be given by Eq. (10).

The explicit relation is expressed as (10) This formula is equivalent to that derived by Yamazaki (2009), which implies the piezomagnetic field is uniquely determined for a given magnetic anomaly.

Guillarmou and Tzou [69] have shown that a potential is uniquely determined for the Schrödinger equation Δ g - q, with Δ g the Laplace-Beltrami operator associated to the metric g, generalizing the result of [77].

In the BN (2), x k + 1) is uniquely determined for the given x(k) and u(k).

If the BN (1) is deterministic, then the next state x k + 1) is uniquely determined for a given x(k).

Recently, we have demonstrated that with high-density SNP data, (i) we can infer recombination breakpoints with high precision (Li et al., 2010); (ii) our algorithm (Li and Li, 2009) can efficiently infer haplotypes and inheritance patterns for large pedigrees; and (iii) in most cases, inheritance can be uniquely determined for large pedigrees with large number of SNPs.