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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
We have formulated and discussed our main results for scalar equations where the solutions remain of a single sign. This restriction has enabled us to achieve sharp results on
In this work we give definitions of the notions of superior limit and inferior limit of a real distribution of n variables at a point of its domain and study some properties of
Theorem 3.5 can be applied to determine the Poincar´ e-Liapunov first integral, Reeb inverse integrating factor and Liapunov constants for the case when the polynomial
As application of our coarea inequality we answer this question in the case of real valued Lipschitz maps on the Heisenberg group (Theorem 3.11), considering the Q − 1
The field of force F can be considered of mechanical (newtonian) nature as being contravariant (spray), or as a Lorentz field of force, of electromagnetic nature as being covariant..
The skeleton SK(T, M) of a non-trivial composed coloured tree (T, M) is the plane rooted tree with uncoloured vertices obtained by forgetting all colours and contracting all
Actually it can be seen that all the characterizations of A ≤ ∗ B listed in Theorem 2.1 have singular value analogies in the general case..