# implicit function

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Related to implicit function: Implicit function theorem

## implicit function

n.
A function whose value can only be computed indirectly from one or more of the independent variables. For example, in the equation x2 + y2 = 1, y is an implicit function of x.
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The condition (2.2) implies that in a neighbourhood of the solution, we can solve z = [chi](t, y) from the second equation of (2.1) by the Implicit Function Theorem.
Based on the implicit function theorem, the RBFNN is introduced to accurately approximate the unknown function of the model.
Firstly, Boolean operations based on R-functions are introduced to generate an implicit function for expressing a geometric object.
By implicit function theorem, there exists [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] such that (10) has a unique solution ([lambda], [M.sub.2], [M.sub.3]) satisfying [lambda], [M.sub.2] > 0 and [M.sub.3] > 0.
Recently this method of variable projection has been extended in a restricted sense  in the field of inverse problems, which is not related to our method of either modeling or optimization, nor is the methodology related to the implicit function properties.
Imdad: An implicit function implies several contraction conditions, Sarajevo J.
OriginPro adds tools for implicit function fitting and IIR filter design.
Then, the function values [f.sub.i](x) can be calculated from each local implicit function defined in {[[OMEGA].sub.i]} (Fig.
After critical study of Pakistan's E-Government strategy as well as framework, it reveals that the strategy adopted and being implemented by GOP is an implicit function of variables including policy advocacy, organizational development, capacity building and linkage between state and non-state actors.
Maximizing the discounted value of U with respect to [X.sub.g] and [X.sub.b] and using the implicit function rule, one gets [dX.sub.g]/dY < 0, where Y is the total income of all households.

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