implicit function

Related to implicit function: Implicit function theorem

implicit function

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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implicit differentiation

References in periodicals archive ?

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.

RUNGE-KUTTA METHODS REVISITED FOR A CLASS OF STRUCTURED STRANGENESS-FREE DIFFERENTIAL-ALGEBRAIC EQUATIONS

Based on the implicit function theorem, the RBFNN is introduced to accurately approximate the unknown function of the model.

Adaptive Neural Control of Hypersonic Vehicles with Actuator Constraints

Firstly, Boolean operations based on R-functions are introduced to generate an implicit function for expressing a geometric object.

Path Planning with Obstacle Avoidance Based on Normalized R-Functions

The gyroid structure was described by implicit function 1.

Cellular lattice structure produced by selective laser melting and its mechanical properties

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.

On the existence of central configurations of 2k + 2p + 2/-body problems

Recently this method of variable projection has been extended in a restricted sense [14] 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.

Numerical reduced variable optimization methods via implicit functional dependence with applications

Imdad: An implicit function implies several contraction conditions, Sarajevo J.

A general fixed point theorem for a pair of mappings satisfying an implicit relation

OriginPro adds tools for implicit function fitting and IIR filter design.

Data analysis and graphing software

Then, the function values [f.sub.i](x) can be calculated from each local implicit function defined in {[[OMEGA].sub.i]} (Fig.

Multiscale implicit functions for unified data representation

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.

Students get benefits from online admissions applications

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.