derivative

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Related to differentiable: Differentiable function

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.

derivative

/de·riv·a·tive/ (dĕ-riv´ah-tiv) a chemical substance produced from another substance either directly or by modification or partial substitution.

derivative

[dəriv′ətiv]
Etymology: L, derivare, to turn away
anything that originates in another substance or object. For example, organs and tissues are derivatives of the primordial germ cells. Chemical derivatives may be produced to confirm identification of a compound or to aid in the analysis of a compound.

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 ?
0]([OMEGA]) implies that the functional [PSI] is well defined, continuously Gateaux differentiable, and with compact derivative, whose Gateaux derivative at the point u [member of] X is given by
Let g be a real-valued differentiable function defined on X, and assume that for each x, y [member of] X, the function F(x, y; *): X [right arrow] R is sublinear.
where A is an arbitrary non-zero real constant, and we can easily see that the conditions (i8) are satisfied and a, b, c, 1/a, b/a(a+tb), c/(a-tc) are clearly differentiable, being constants.
bar] R [right arrow] R be two differentiable mappings in [Angstrom] and let a, b [member of] [Angstrom] with a < b.
9 it follows that if F is differentiable in the generalized sense according Definition 3.
In other words, if a function f is differentiable at a point x = [x.
It can be applied to any feed-forward network with differentiable activation functions.
It is easy to show that, if f is delta differentiable on T, then
d]) of infinitely differentiable rapidly decreasing functions (the space of tempered distributions).
I think the ridiculous over-proliferation of space and lack of differentiable enterprises, tragic loss of creativity in merchandising and marketing, foolish over-the-top financial leverage wielded by people with no retail skill or common sense and good judgment, has finally taken its toll.
n] is locally Lipschitzian but not necessary differentiable and non-smooth equation
In this work, infinitely differentiable functions with compact support are used.