differentiable function

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differentiable function

[‚dif·ə′ren·chə·bəl ′fəŋk·shən]

(mathematics)

A function which has a derivative at each point of its domain.

References in periodicals archive ?

Suppose that f : [a, b] [right arrow] R be a twice differentiable function on (a,b) and suppose that [gamma] [less than or equal to] f" (t) [less than or equal to] [GAMMA] for all t [member of] (a, b).

Straightforward Proofs of Ostrowski Inequality and Some Related Results

We assume that there exists continuously differentiable function W([p.

Differential game theoretic approach for distributed dynamic cooperative power control in cognitive radio ad hoc networks

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.

Bivariate "Cut-glue" approximation of strongly nonlinear mathematical models based on experimental data

Let x(t)[member of]R be a continuous and differentiable function.

Applications of direct Lyapunov method in Caputo non-integer order systems

1] are differentiable functions on M, then M is said to be a generalized complex space form (see [13] and [14]).

Generalized Sasakian space forms with semi-symmetric non-metric connections/Poolsummeetrilise mittemeetrilise seostusega uldistatud Sasaki ruumivormid

If f : [a, b] [right arrow] R is a differentiable function with bounded derivative, then

A linear constructive approximation for integrable functions and a parametric quadrature model based on a generalization of Ostrowski-Gruss type inequalities

If we also define a differentiable error function of the network outputs such as the sum-of-square error function, then the error function itself is a differentiable function of the weights.

An alternative approach to two phase encryption using back-propagation feed forward neural technique

which is a variant of Simpson's inequality for first differentiable function f, [f.

A Generalzation of Ostrowski-gruss type inequality for first differentiable mappings

Levine [1,2]) Let [PSI](t) be a positive, twice differentiable function which satisfies for t> 0, the inequality

Global behavior of solutions for a class of quasi-linear evolution equations

where a(Y) is an unknown, continuous, positive, and differentiable function.

The effect of prayer on God's attitude toward mankind

d] and 0 < q [less than or equal to] + [infinity], if there exists an infinitely differentiable function [eta] satisfying [eta]([xi]) = 1 if [absolute value of [xi]] [less than or equal to] [rho] and [eta]([xi]) = 2[rho] for some 0 < p < 1/2 such that jz([eta]v)/w) belongs to [L.

On quality of approximation by families of generalized sampling series

n-k,] and a continuously differentiable function h : V [right arrow] W with continuously differentiable inverse such that

Structural vector autoregressions: theory of identification and algorithms for inference