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Let s be a source function defined on (F {mathbb{R}})).
Let (s_{h}) be a source function defined over [0, h].
Let s be a source function, for an arbitrary known non-positive trapezoidal fuzzy semi-number (tilde{u}=(a_u,b_u,c_u,d_u;h_u)) with height (h_u).
Let s be a source function, for an arbitrary known non-negative trapezoidal fuzzy semi-number (tilde{u}=(a_u,b_u,c_u,d_u;h_u)) with height (h_u).
Let s be a source function, then the source number (I_{s,h}) is defined on s as follows: I_{s,h}=int _0^h{s alpha )alpha }mathrm{d}alpha.
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A function (s_hin C[0,h]) with the following properties is a source function: 1. (s_h alpha )ge 0,quad alpha in [0,h]) 2.
A function (sin C[0,1]) with the following properties is a source function [2, 5] (regular reducing function in [20]) over all fuzzy numbers: 1. (s alpha )ge 0,quad alpha in [0,1]) 2.
Evidence that Lep1s co-localize with protein-coding genes in B. mori genome (section 3.3) suggests that integrations may affect the structure and function of lepidopteran genes, and that presence/absence mutation at orthologous loci may be a source of function genetic variation among species.
Gene duplication has been considered for a long time to be a source of novel functions, and to have played a significant part in genome functional evolution and species divergence.
This study examined intrinsic variability in brain neurotransmitter function, since it may be a source of blunted behavior and neuroendocrine function in depression and a marker for the illness, and has not previously been analyzed using wavelet decomposition.
In the study by Zhu in [1], a basic theorem is established and found to be a source of inequalities for circular functions, and these inequalities are extended by this basic theorem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com