Sentence examples for convergence of function from inspiring English sources

In contrast to this functional divergence, convergence of function is also seen in the superfamily, specifically concerning binding of tRNA, and structural mimics of tRNA.

whenever n ≥ N. Let f n ( t ) = ( t 2 − α u n ( t ) ) ′ and f ( t ) = ( t 2 − α u ( t ) ) ′. Then (2.4) means that f n → f uniformly on ( 0.1 ], and so lim t → 0 + f ( t ) = lim n → ∞ lim t → 0 + f n ( t ) exists . by applying the theorem to the limit convergence of function sequences again.

Because lim t → 0 + t 2 − α u n ( t ) exists for all n ∈ N, by applying the theorem to the limit convergence of function sequences, we know that lim n → ∞ lim t → 0 + t 2 − α u n ( t )  exists, and lim t → 0 + t 2 − α u ( t ) = lim t → 0 + lim n → ∞ t 2 − α u n ( t ) = lim n → ∞ lim t → 0 + t 2 − α u n ( t ).

This represents another mechanism by which ING1b and p53 may interact to increase levels of lincRNA-p21, which might also explain their convergence of function in inducing apoptosis, an observation made independently in previous studies.

Lastly, we study the rate of convergence of functions having a derivative of bounded variation.

The result is shown in the framework of uniform convergence of functions, and stated without imposing any distributional assumptions.

Taken together, this convergence of functions at NPCs in the regulation of transcription, in the stabilization and repair of DNA ends, and in transcript quality control through mRNA surveillance suggests that the NPC serves as a nexus to inextricably link these processes (reviewed in Strambio-de-Castillia et al. 2010).

how to obtain a contractive function, how to deduce the uniformly asymptotical compactness from a contractive function, how to obtain the convergence of contractive function.

Main difficulties we encountered are as follows: (1) how to obtain a contractive function,   (2) how to deduce the uniformly asymptotical compactness from a contractive function,   (3) how to obtain the convergence of contractive function.  .

Finally, we describe the patterns of conservation of protein features in numerous β-N-acetylhexosaminidase subfamilies and relate these features to the current understanding of GH20 family function, an important exercise given apparent convergence of physiological function of non-orthologous GH20 enzymes in eukaryotes.

Öksüzer et al. [7] estimated the rate of convergence for functions of bounded variation for these operators by means of some results of probability theory.