Directory UMM :Journals:Journal_of_mathematics:OTHER:
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We prove that many of the known results regarding image partition regularity and image partition regularity near zero for finite and infinite matrices with rational or integer
(4) As application we use Theorem 1.1 to obtain determinant identities for well-known numbers by specializing to specific sequences { a k}... Hence all that remains of the
We then give several examples of self-generating sets whose expansions in a certain base are characterized by sequences of integers with missing blocks of digits.. This expands
(Since strongly magic squares are closest to what are classically known as “magic squares”—see the introduction to our general magic article [ 6 ]—we call strong squares
In this section, we present extensions of Theorem 1 and 2, respectively, each of them containing infinitely many analogous sequences that enumerate (sub)sets of positive
The problem we are dealing with consists in the following: find the necessary and sufficient conditions for the zero measure subset of the circumference at which points the
We will show that the strong and weak barrier conditions are equivalent for semi- bounded solutions. Since every closed subset of R m is a zero-set, the closed filters and
Although a majority of state police organizations have implemented training, fewer agencies have adopted policies informing sworn officers how to deal with persons suspected of,
