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implicit function

On the domain of the implicit function and applications

On the domain of the implicit function and applications

... The implicit function theorem asserts that there exists a ball of nonzero radius within which one can express a certain subset of variables, in a system of equations, as functions of the remaining ...an ...

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Implicit Function Theorems for Non Differentiable Mappings

Implicit Function Theorems for Non Differentiable Mappings

... classical implicit function theorems and open-mapping theorems need the (single-valued) function to be Fr´echet differentiable and the derivative to be ...the function is not Fr´echet ...

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Investigation of the Characteristics of the Zeros of the Riemann Zeta Function in the Critical Strip Using Implicit Function Properties of the Real and Imaginary Components of the Dirichlet Eta Function

Investigation of the Characteristics of the Zeros of the Riemann Zeta Function in the Critical Strip Using Implicit Function Properties of the Real and Imaginary Components of the Dirichlet Eta Function

... the implicit function describing the function where the real part is equal to the imaginary part of the eta function was ...the function when the real part is equal to the imaginary ...

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The Constructive Implicit Function Theorem and Proof in Logistic Mixtures

The Constructive Implicit Function Theorem and Proof in Logistic Mixtures

... the implicit function theorem, including some applications to physics and ...the implicit function theorem prevails ...ridgeline function, which carries information about the topography ...

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A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem

A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem

... well-known implicit function theorem has been employed by many authors to study existence of solution to non-linear differential equations of various ...using implicit function ...plicit ...

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On Fréchet differentiability of some non linear operators occurring in inverse problems : an implicit function theorem approach

On Fréchet differentiability of some non linear operators occurring in inverse problems : an implicit function theorem approach

... of the implicit function theorem approach for proving Frechet differentiability and continuity of these non-linear operators does not seem to have been appreciated in the literature wher[r] ...

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Progressive refinement rendering of implicit surfaces

Progressive refinement rendering of implicit surfaces

... the implicit function that is visible through a sample is obtained by shooting a ray through the centre of the sample and marching towards the surface intersec- tion point with the help of a guaranteed ...

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A common fixed point theorem in intuitionistic fuzzy metric space using implicit relation

A common fixed point theorem in intuitionistic fuzzy metric space using implicit relation

... of implicit function to prove a common fixed point theorem in metric space, Singh and Jain [11] extened the result of Popa ([9],[10]) in fuzzy metric ...

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Analytic convergence of harmonic metrics for parabolic Higgs bundles

Analytic convergence of harmonic metrics for parabolic Higgs bundles

... that we are not using the full power of the implicit function theorem, since we already know that Hermitian-Einstein metrics exist and are unique by the nonabelian Hodge theorem. Instead we only use the ...

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The L∞ exact penalty function in semi infinite programming

The L∞ exact penalty function in semi infinite programming

... penalty function is based on the infinity norm, a much weaker condition than that required for the implicit function theorem to hold is sufficient to ensure convergence for 0 1 ...

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ON THE NONEXISTENCE OF UNITS IN ALGEBRAIC SYMBOLS AND THE CONSEQUENT IDENTIFICATION OF (dy/dx) WITH (dy/b)/(dx/a), AS ILLUSTRATED BY ECONOMIC COMPARATIVE STATICS

ON THE NONEXISTENCE OF UNITS IN ALGEBRAIC SYMBOLS AND THE CONSEQUENT IDENTIFICATION OF (dy/dx) WITH (dy/b)/(dx/a), AS ILLUSTRATED BY ECONOMIC COMPARATIVE STATICS

... the implicit function theorem as cast in relative derivatives has the same form as that cast in the standard derivatives, and we will present three examples from economic comparative statics to show that ...

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A progressive refinement approach for the visualisation of implicit surfaces

A progressive refinement approach for the visualisation of implicit surfaces

... the implicit function f inside some re- gion (Comba and Stolfi, ...a function, given input arguments that vary over the same given ...casting implicit surfaces made from procedural fractal ...

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Fuzzy Adaptive Control for a Class of Non-Affine Systems via Time Scale Separation

Fuzzy Adaptive Control for a Class of Non-Affine Systems via Time Scale Separation

... the implicit function theorem [2] is commonly used to demonstrate the existence of the optimal solution for the control input, but it does not provide a way to construct such controller to achieve control ...

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Distance Field based Haptic Rendering of Scattered Oriented Points

Distance Field based Haptic Rendering of Scattered Oriented Points

... the implicit function (also called the potential func- tion) and (x, y, z) is the coordinate of a point in ...potential function is nothing but the distance field of the point set defining an ...

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Application of p-regularity theory to nonlinear boundary value problems

Application of p-regularity theory to nonlinear boundary value problems

... Brezhneva, OA, Tret’yakov, AA, Marsden, JE: Higher-order implicit function theorems and degenerate nonlinear boundary-value problems. Tret’yakov, AA, Marsden, JE: Factor analysis of nonl[r] ...

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Relationships between implicit and explicit uncertainty monitoring and mindreading: Evidence from autism spectrum disorder

Relationships between implicit and explicit uncertainty monitoring and mindreading: Evidence from autism spectrum disorder

... These findings (that metacognition is impaired in ASD and that metacognitive ability is predicted by mindreading ability) provide support for one-system views of the relation between metacognition and mindreading. A ...

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Implicit Bias in the UK: Updating the Implicit Association Test

Implicit Bias in the UK: Updating the Implicit Association Test

... on implicit biases exhibited by UK clinical psychologists (Blencowe, ...As implicit biases have been linked with behavioural differences towards others, it is in keeping with these guidelines that they are ...

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Reconstruction of fluorescence molecular tomography with a cosinoidal level set method

Reconstruction of fluorescence molecular tomography with a cosinoidal level set method

... the implicit shape ...the implicit shape ...set function in the proposed and implicit shape method were set to ...the implicit shape method were implemented without the priori ...

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Implicit Polarity and Implicit Aspect Recognition in Opinion Mining

Implicit Polarity and Implicit Aspect Recognition in Opinion Mining

... This paper deals with a double-implicit prob- lem in opinion mining and sentiment analysis. We aim at identifying aspects and polarities of opinionated statements not consisting of opin- ion words and aspect ...

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Formal Policy based Authorization Model for Ubiquitous Enterprise Computing Environment

Formal Policy based Authorization Model for Ubiquitous Enterprise Computing Environment

... The state of the system consists of subjects, objects and set of current accesses allowed after evaluation of access request by authorization evaluation equations. The UAM system constrains accesses by considering ...

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