Derivative

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DERIVATIVE. Coming from another; taken from something preceding, secondary; as derivative title, which is that acquired from another person. There is considerable difference between an original and a derivative title. When the acquisition is original, the right thus acquired to the thing becomes property, which must be unqualified and unlimited, and since no one but the occupant has any right to the thing, he must have the whole right of disposing of it. But with regard to derivative acquisition, it may be otherwise, for the person from whom the thing is acquired may not have an unlimited right to it, or he may convey or transfer it with certain reservations of right. Derivative title must always be by contract.
     2. Derivative conveyances are, those which presuppose some other precedent conveyance, and serve only to enlarge, confirm, alter, restrain, restore, or transfer the interest granted by such original conveyance, 3 Bl. Com. 321.

References in periodicals archive ?
If a function u belongs to [U.sup.n.sub.[alpha]] and a twice continuously differentiable function v : (0, [infinity]) [right arrow] R is
where [f.sub.h2] (x, [[delta].sup.*.sub.e]) is a completely unknown continuously differentiable function.
Theorem 1: A set of optimal strategies {[p.sup.N.sub.i]|[p.sup.N.sub.i] = [[bar.p].sub.i] - [[[rho].sub.i][summation over (i[member of]N)][u.sub.i]/2[S.sub.i](r + [tau])]} provides the transmit power of n SUs under the condition of grand coalition N, and the continuously differentiable function W([p.sub.i], y) is expressed as follows
The method allows receiving the mathematical description difficult nonlinear and even piecewise dependence in the form of unitary continuously differentiable function with any accuracy of approach allowed by data.
Let I(x,y) be a twice differentiable function in (a, b) x (c, d), given ([x.sub.0], [y.sub.0]) [member of] (a, b) x (c, d), the twice differential of I(x, y) at point ([x.sub.0], [y.sub.0]) is
The rational fractal functions in Figures 5(a)-5(e) are typical fractal functions close to continuous but nowhere differentiable function. By taking the rational quadratic FIF in Figure 4(a) as the original function, we have calculated the uniform distance between this original function and the rational quadratic FIFs in Figures 4(b) and 4(f) (see Table 3).
By formula (11) we can easily compute the fractal derivative of any differentiable function using the fractional derivative; for concrete examples see Appendix B.
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.
or, if the matrix A is a differentiable function of the set of entries [t.sub.ij]
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be two Riemannian manifolds and f a positive differentiable function on [M.sub.1].
[E.sub.p] can be expressed as a differentiable function of the output variable [y.sub.k].
which is a variant of Simpson's inequality for first differentiable function f, [f.sup.'] is integrable and there exist constants [gamma], [GAMMA] [member of] R such that [gamma] [less than or equal to] [f.sup.'](t) [less than or equal to] [GAMMA], t [member of] (a, b).