derivative

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de·riv·a·tive

(dĕ-riv'ă-tiv),
1. Relating to or producing derivation.
2. Something produced by modification of something preexisting.
3. Specifically, a chemical compound that may be produced from another compound of similar structure in one or more steps, as in replacement of H by an alkyl, acyl, or amino group.

de·riv·a·tive

(dĕ-riv'ă-tiv)
1. Relating to or producing derivation.
2. Something produced by modification of something preexisting.
3. Specifically, a chemical compound produced from another compound in one or more steps, as in replacement of H by an alkyl, acyl, or amino group.

de·riv·a·tive

(dĕ-riv'ă-tiv)
Chemical compound that may be produced from another compound of similar structure in one or more steps.
References in periodicals archive ?
If a continuously differentiable function v : I [right arrow] X satisfies the differential inequality
where x = [[[x.sub.1], [x.sub.2], [x.sub.3]].sup.T] x [f.sub.1] ([x.sub.1], [x.sub.2]) and [f.sub.3] (x, [[delta].sup.*.sub.e]) are completely unknown continuously differentiable functions.
where [[PHI].sub.i]([p.sub.i], y) and f([p.sub.i], y) are continuously differentiable functions, respectively.
Because of this reason, if the original function is C1-smooth and monotonic but its derivative is a continuous nowhere differentiable function, then our rational quadratic FIF r is an ideal tool to approximate such function instead of the classical rational quadratic interpolant, whose derivative is a piece-wise smooth function.
For any differentiable function y = f(x), if x = x(l) is not only a [omega]-dimensional volume but also describes the length of a [omega]-dimensional fractal curve [gamma].sub.[omega]](l), then the fractal derivative of y = f(x) with respect to the fractal curve [gamma].sub.[omega]] (l) is defined as
where the differentiable functions f, [g.sub.i]: [R.sup.n] [right arrow] R, i [member of] [m.bar], are invex with respect to the same function [eta]: [R.sup.n] x [R.sup.n] [right arrow] [R.sup.n], the Karush-Kuhn-Tucker necessary optimality conditions are also sufficient.
where [F.sub.1] and [F.sub.1] are differentiable functions on M, then M is said to be a generalized complex space form (see  and ).
If a network has differential activation functions, then the activations of the output units become differentiable functions of input variables, the weights and bias.
(Levine [1,2]) Let [PSI](t) be a positive, twice differentiable function which satisfies for t> 0, the inequality
where a(Y) is an unknown, continuous, positive, and differentiable function. Singh demonstrates that under his conditions:
Let 8 be an infinitely differentiable function with compact support satisfying [theta]([xi]) = 1 for [xi] [member of] [D.sub.1].
for any differentiable function h satisfying certain regularity conditions (see Stein, 1973, 1981).

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