Sentence examples for functions in the case of the from inspiring English sources
In Section 3, we prove the global convergence of the proposed method for non-convex functions in the case of the strong Wolfe line search.
Obviously, our investigation can easily be modified for an arbitrary integer value of independent variable (k=k_{0}) in the case of the non-delayed equation (2) or if the initial functions, in the case of the delayed systems (7) are defined for the values of (k=k_{0}-m,k_{0}-m+1,ldots,k_{0}).
The paper investigates the exponential stability assuming, without loss of generality, that the initial point is always defined for the value of the independent variable k being equal to 0 in the case of the non-delayed equation (2), and that the initial functions in the case of the delayed systems (7) are always defined for (k=-m,-m+1,ldots,0).
Indeed, acute loss-of-function approaches revealed functions in the case of the doublecortin or connexin genes (Bai et al., 2003; Elias et al., 2007).
We previously addressed this issue in the case of the luminosity function of normal/starburst galaxies in the GOODS area by fitting the luminosity functions using Markov-Chain Monte Carlo simulations.
In the case of the sink, "the form wasn't following the function," he told me.
Strong prevalence ('coreness') of a molecular function across niche-related microbial communities can be explained by either broad taxonomic distribution of the function (as in the case of essential housekeeping functions), or specific enrichment of the function among taxa inhabiting that niche (possibly because the function is selectively advantageous there).
In many cases, the same substance functions as both coolant and moderator, as in the case of light and heavy water.
In the case of certain recent ballets, their only imaginable function is to distract from the slightness of the work.
