# differentiable

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Related to differentiable: Differentiable function

## dif·fer·en·tia·ble

(dĭf′ə-rĕn′shə-bəl, -shē-ə-)
1. Capable of being differentiated: differentiable species.
2. Mathematics Possessing a derivative.

dif′fer·en′tia·bil′i·ty n.

## differentiable

(ˌdɪfəˈrɛnʃɪəbəl)
1. capable of being differentiated
2. (Mathematics) maths possessing a derivative
ˌdifferˌentiaˈbility n
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Adj. 1 differentiable - possessing a differential coefficient or derivative 2 differentiable - capable of being perceived as different; "differentiable species"distinguishable - capable of being perceived as different or distinct; "only the shine of their metal was distinguishable in the gloom"; "a project distinguishable into four stages of progress"; "distinguishable differences between the twins"
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References in periodicals archive ?
Values are never differentiable. This means that the demonstration of values cannot be contingent and dependent on situations; values must be constant no matter how uncomfortable the situations are.
[USPRwire, Fri Oct 05 2018] Label films market: Introduction Shelf space and visual appearance are the major differentiable factors for any product.
infinitely differentiable (except possibly at the point where the test mass is located), it is required that any derived function be also differentiable.
If [f'.sub.gH]([x.sub.0]) [member of] [R.sub.F] satisfying (7) exists, one says that f is generalized Hukuhara differentiable (gH-differentiable for short) at [x.sub.0].
For fixed [x.sub.0] [member of] [a, b] and [phi] : [a, b] [right arrow] [R.sub.F], the function [phi] is called a strongly generalized differentiable at [x.sub.0], if there is an element [phi]'([x.sub.0]) [member of] [R.sub.F] such that either
When nonlinear operator f is first-order differentiable convex subset D can be open or closed, suppose [x.sub.*] is the root of the equation f(x) = 0, an open area B([x.sub.*], R) is called the convergence ball of the iterative algorithm.
One says that it is differentiable with respect to the domain at [[OMEGA].sub.0] if the function
Let G : [[alpha], [beta]] [right arrow] R be continuous on [[alpha], [beta]] and differentiable in ([alpha], [beta]) and its derivative G' : ([alpha], [beta]) [right arrow] R is bounded in ([alpha], [beta]).If [absolute value of G'(s)] [less than or equal to] M for all s [member of] [[alpha], [beta]], then we have
Both numbers, S and C, are assumed to be sufficiently large, such that they can be considered as continuously differentiable functions.
A set of related concepts in calculus with which students often struggle is determining intervals where a function is continuous, where it is differentiable, and the relationship of those two.
Obloza proved that there exists a constant [delta] > 0 such that [absolute value of y(x) - [y.sub.0](x)] [less than or equal to] [delta] for all x [member of] (a, b) whenever a differentiable function y : (a, b) [right arrow] R satisfies [absolute value of y'(x) + g(x)y(x) - r(x)] [less than or equal to] [epsilon] for all x [member of] (a, b) and a function [y.sub.0] : (a, b) [right arrow] R satisfies [y'.sub.0](x) + g(x) [y.sub.0](x) = r(x) for all x [member of] (a, b) and y([tau]) = [y.sub.0]([tau]) for some r [micro] (a, b).

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