Mountain Pass Theorem
Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
High Quality Content by WIKIPEDIA articles!The mountain pass theorem is an existence theorem from the calculus of variations. Given certain conditions on a function, the theorem demonstrates the existence of a saddle point. The theorem is unusual in that there are many other theorems regarding the existence of extrema, but few regarding saddle points.In mathematics, an existence theorem is a theorem with a statement beginning 'there exist(s) ..', or more generally 'for all x, y, ... there exist(s) ...'. That is, in more formal terms of symbolic logic, it is a theorem with a statement involving the existential quantifier. Many such theorems will not do so explicitly, as usually stated in standard mathematical language. For example, the...
ISBN: 978-6-1311-1698-8
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Книга по требованию
Дата выхода: июль 2011