Abstract: In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal changes of ...
Dmitri Goloubentsev, Evgeny Lakshtanov and Vladimir Piterbarg explain in mathematical terms, and demonstrate using a simple example, how the automatic implicit function theorem, a special version of ...
This paper provides an example of the implicit function theorem to the accuracy of global positioning system (GPS) navigation. The implicit function theorem allows one to approximate the timing ...
ABSTRACT: In this paper, the well known implicit function theorem was applied to study existence and uniqueness of periodic solution of Duffing-type equation. Un-der appropriate conditions around the ...
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1 Department of Mathematics, Michael Okpara University of Agriculture, Umuahia, Nigeria. 2 Department of Industrial Mathematics and Statistics, Ebonyi State University, Abakaliki, Nigeria.
Automatic differentiation is a transformation of the computational graph associated with the algorithmic implementation of a mathematical function. It breaks it down into atomistic primitive ...
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