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It is suggested by our method that most of the quadratic algebras for all St¨ ackel equivalence classes of 3D second order quantum superintegrable systems on conformally flat
We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.. We
Instead an elementary random occurrence will be denoted by the variable (though unpredictable) element x of the (now Cartesian) sample space, and a general random variable will
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
For a positive definite fundamental tensor all known examples of Osserman algebraic curvature tensors have a typical structure.. They can be produced from a metric tensor and a
Applying the representation theory of the supergroupGL(m | n) and the supergroup analogue of Schur-Weyl Duality it becomes straightforward to calculate the combinatorial effect
Gmelin concerning the Fundamental Theorem of Algebra to establish the following result about the polynomials that represent prime numbers (see [20], Satz 7).. St¨ ackel’s
As in [6], we also used an iterative algorithm based on surrogate functionals for the minimization of the Tikhonov functional with the sparsity penalty, and proved the convergence