Sentence examples for derivation depends on from inspiring English sources

This is expected since the derivation depends on the facts that all the bands depend on each other.

The important point is that the derivations depend on assuming as a premise something that can be known only a priori.

In fact, the derivation of (20) depends on the hypothesis that the number of noise sample is Poisson distributed.

The derivation of D2 depends on the assumption that the point estimate of the intervention effect in the fixed-effect model and the point estimate of the intervention effect in the random-effects model are approximately equal.

ESC-derivation of MNs depends on the same extrinsic and intrinsic cues that act during normal embryogenesis and has been repeatedly used to investigate subtype-specific developmental pathways in these cells (Jung et al., 2010; Peljto et al., 2010; Soundararajan et al., 2006).

Equations (3) and (4) are used, for example, by Lande (1979), although their derivation there depended on the normal distribution of the genotype.

Newton's derivation of Proposition 43 depends on his Proposition 2, derived earlier in the Principia.

The main advantage of the proposed solutions is that they are presented in a unified form contrary to existing solutions in the literature where the derivation of each solution depends on the specific values of the diffusion and convection parameters.

Of course, the plausibility of Aquinas's derivation of the species depends on whether Aristotle accepted the principles that Aquinas uses.

Therefore, the derivation of collision probability depends on two rules: the addition rule which deals with the probability of union of more events; and the multiplication rule which deals with the probability of intersection of two events.

Although their algorithm only takes linear time, its derivation is lengthy and depends on a large number of possible cases.