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One of our theorems, for instance, states that the higher Adams operations applied to the class of a universal quotient bundle of a Grassmannian that is not a line bundle yield
Our proof of Theorem 2 follows by enumerating the degree sequences which fit into each of the five categories in Theorem 1 and then removing those that have been counted multiple
One of the fundamental theorems of non-abelian homological algebra says that homology and cohomology of groups and associative algebras can be expressed as non-abelian derived
(3.19), then the zero solution of the reduced subsystem (3.16) and the one of the boundary layer subsystem (3,17) respectively is exponentially stable in mean
The Schauder Fixed Point Theorem is, undoubtedly, one of the most impor- tant theorems of nonlinear analysis.. Theorem 1.1 (Schauder) Let M be a nonempty closed bounded convex sub-
To prove theorems we decompose the operator H into a direct sum of an interior operator and an exterior one.. Here we localize more closely to the boss of the barrier.. This leads
Markov-Polya distribution. Any sequence of binary random variables will do.. When u is increased, maximal chains which have a greater possibility for one-way expansion, i.e.
FORMA L Employees in the business had received some type of job-related formal training (1 = yes – planned on-the-job training by superiors, full-time courses lasting up to one