منابع مشابه
On zero curves of bivariate polynomials
With the emergence of algebraic curves and surfaces in geometric modelling [2,4,6,11,12, 21,22] it is important to be able to predict how many connected components the zero set of a multivariate function has in terms of its coefficients. It would be especially useful to find a condition which ensures that the zero set is a single curve or surface. For univariate polynomials Descartes’ Rule of S...
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Let L be the zero set of a nonconstant monic polynomial with complex coe¢ cients. In the context of constructive mathematics without countable choice, it may not be possible to construct an element of L. In this paper we introduce a notion of distance from a point to a subset, more general than the usual one, that allows us to measure distances to subsets like L. To verify the correctness of th...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.07.042