This is a short library that implements the complex-step derivative approximation algorithm for the computation of the N-derivative of an N-dimension function. This repository also includes the ...

Let Fn be a free group of rank n with free basis x1, ⋯, xn. Let {y1, ⋯, yk} be a set of k ≤ n elements of Fn, where each yi is represented by a word Yi(x1, ⋯, xn) in the generators xj. Let ∂ yi/∂ xj ...

This is a preview. Log in through your library . Abstract Under the hypothesis that the derivative satisfies some kind of weak Lipschitz condition, a proper condition which makes Newton's method ...

Abstract: To establish an alternative analytical framework for the elastic‐wave imaging of underground cavities, the focus of this study is an extension of the concept of topological derivative, ...

ABSTRACT: We consider the problem of estimating an unknown density and its derivatives in a regression setting with random design. Instead of expanding the function on a regular wavelet basis, we ...

Definition: Arctan is the inverse function of the tangent function which is the ratio of the side opposite an angle divided by the side adjacent to the angle (i.e., tan = opposite/adjacent). It is ...