Sentence examples for particular a formula from inspiring English sources

In particular, a formula is derived for computing the gradient of a given integral performance cost with respect to the switching surface parameters.

In particular, a formula consisting of a predicate whose argument is a non-singular constant is true just in case the constant is interpreted as one or more individuals that jointly satisfy the predicate (cf. Linnebo 2012[20]).

In particular, a new formula for the compression-controlled reinforcement ratio limit, and a new direct procedure for the design of transition-zone sections are presented.

In particular, a logit formula connects the market share s i of an alternative i with the mean utility V i (with a Gumbel-distributed disturbance) from consuming i, in such a way that (s_{i} = {e^{V_{i}}}/{sum _{j} e^{V_{j}}}).

In particular, a simple formula for the variance was derived in Thattai and van Oudenaarden (2001); see also Swain et al. (2002), Paulsson (2004, 2005) and Paszek (2007).

We show that this transform intertwines the actions of certain M n -invariant differential operators on G(p, n) and G(q, n), and we prove an inversion forM n -invarianttransform when n is odifferentialzing the Radoperatorsion formula, and obtaininG pn pandicular an inversion formula for the dual transform.

In particular, we require a formula for the parallel transport and the geodesics of the COP manifold.

Thus, in particular, satisfiability of a formula becomes equivalent to non-emptiness of the language of the automaton associated with that formula.

Of particular interest is a formula we derive for a generalized value function when the associated potential energy is of the form V="∫RdV x dμ(x).

In particular, there is a formula Tr0 x) that expresses that x is a true atomic sentence of the language of arithmetic, that is, a sentence of the form n=k, where k and n are identical numerals.

(where the symbol 'F' is a placeholder for a name of a particular formula of the object language).