Sentence examples for by defining a generalized from inspiring English sources

It begins by defining a generalized momentum pi, which is related to the Lagrangian and the generalized velocity q̇i by pi = ∂L/∂q̇i.

The application of planning techniques to maintain the frame hierarchy model is specified and further developed by defining a generalized algorithm of the Planner and Executor.

In [7, 17], Bede et al. studied the fuzzy initial valued (FIVP) and 2-point boundary value problems by defining a generalized differentiability, which allows to obtain the solutions of fuzzy differential equations and these solutions may have decreasing diameters.

By defining a new generalized error transformation as a complement to the conventional sliding variable, we derived a novel stable sliding mode control scheme on which the design of a new two-input, one-output fuzzy sliding mode controller is based.

Also, by defining a pair of generalized stress intensity factors (SIFs) KI,β(t) and KII,β(t), the relationship between JkR t) and the SIF's is derived and expressed as functions of the notch angle β.

For example, Kanazawa [1994b] captures the universal and existential readings by defining a strong and a weak dynamic generalized quantifier for each determiner (see p. 138).

By using this functional, Alber defined a generalized projection operator on uniformly convex and uniformly smooth Banach spaces which was further extended by Li [16] on reflexive Banach spaces.

Consider the set and define a generalized metric on by (2.7).

end{aligned} (2.2) For (tgeq T), we define a generalized Riccati substitution by V t):=-rho(t) biggl[frac{r(t z'(t)}{z(t)}+r(t)sigma(t) biggr].

In this paper, we define a generalized modular sequence space by using the generalized de la Vallée-Poussin mean with a generalized Riesz transformation.

By using the Weinstein kernel, we can also define a generalized translation.