Sentence examples for remainder function from inspiring English sources

In this section, we collect and compare several bounds of the remainder function R ( θ ; a, b ).

Throughout this paper, the following remainder function [2] plays an important role: R ( θ ; a, b ) = θ a + ( 1 − θ ) b − a θ b 1 − θ, (1.1).

return the IMF c k (t)'s; In this algorithm, there is an outer loop to control the number of IMFs and there is an inner loop to find the next IMF given the current remainder function.

In the extraction of IMFs, the remainder function r(t) is recursively replaced by the hypothetical function h(t), r ( t ) ← h ( t ) = r ( t ) - 1 2 ( u ( t ) + l ( t ) ). (7).

The purpose in this paper is to give a clear understanding of the standard Young and Hölder inequalities on the basis of upper and lower bound estimates on the remainder function R ( θ ; a, b ).

Remark 3.1 By the monotonicity property suggested in [2], the remainder function with respect to θ ∈ [ 0, 1 ] is approximated arbitrarily precisely by the remainder functions with respect to rationals which approximate θ.

These patients had lower level of residual renal function compared to remainder of the patients.

So if one part gets damaged or degraded, the remainder can still function.

Some of these programs are stand-alone applications (Metatool 4.x, FBA3, moma, PathwayAnalyser, expa, YANA), and the remainder can only function within a specific programming environment, such as MATLAB or Mathematica (Metatool 5.0, COBRA Toolbox, CellNetAnalyzer, SNA).

The remainder parameters and functions unchanged.

Of 490 japonica eQTLs, 181 entries are annotated with a gene function; the remainder are 256 unknown (expressed) genes, 9 hypothetical proteins, and 44 transposons/retro-transposons.