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Divided Differences of Multivariate Implicit Functions
Divided Differences Multivariate Implicit Functions Numerical Analysis Combinatorics
2012/3/1
Under general conditions, the equation $g(x^1, ..., x^q, y) = 0$ implicitly defines $y$ locally as a function of $x^1, ..., x^q$. In this article, we express divided differences of $y$ in terms of div...
Simplicial Differerential Calculus, Divided Differences, and Construction of Weil Functors
divided differences differential calculus jet functor scalar extension
2010/12/6
We define a simplicial differential calculus by generalizing divided differences from the case of curves to the case of general maps, defined on general topological vector spaces, or even on modules o...