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A common theme in the evolution of new functions consists of gene duplication followed by functional divergence.
For 0 < α < 1, we say that a Boolean system is α-biased if a proportion of at least α of its regulatory functions consists of biased functions.
The space (S^{p}AA(mathbb{R}, X)) of Stepanov-like almost automorphic functions consists of all (fin BS^{p}(mathbb{R}, X)) such that f^{b}in AAbigl(mathbb{R}, L^{p}bigl([0, 1], Xbigr) bigr).
(iii) [13] The space (PAA ^{p}(mathbf{X})) of Stepanov-like pseudo almost automorphic functions consists of all (fin BS ^{p}(mathbf{X})) such that (f=g+phi) where (gin AS ^{p}(mathbf{X})), (phiin PAP _{0}^{p}(mathbf{X})).
[13] The space (PAA ^{p}(mathbf{X})) of Stepanov-like pseudo almost automorphic functions consists of all (fin BS ^{p}(mathbf{X})) such that (f=g+phi) where (gin AS ^{p}(mathbf{X})), (phiin PAP _{0}^{p}(mathbf{X})).
(ii) [13] The space (PAP _{0}^{p}(mathbf{X})) of Stepanov-like ergodic perturbation functions consists of all (phiin BS ^{p}(mathbf{X})) such that (phi ^{b}in PAP _{0}(L^{p}(0,1 mathbf{X}))).
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The properties of hybrid functions consisting of block-pulse functions and Bernoulli polynomials are presented.
A set of Ritz functions consisting of the product of the boundary expressions is used as the admissible displacement function.
The admissible functions consist of polynomials and basic functions that impose the required boundary conditions on the Mindlin plate.
The major objective functions consist of the electric fee saving, line loss reduction, and voltage deviation minimization.
Developed with John-Jules Meyer and Bas Steunebrink, also at Utrecht, the logical functions consist of a series of rules to define a set of 22 emotions, such as anger, hope, gratification, fear, and joy.
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