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Una classe di soluzioni con zeri dell'equazione funzionale di Aleksandrov.

Constanza Borelli Forti (1992)

Stochastica

In this paper we consider the Aleksandrov equation f(L + x) = f(L) + f(x) where L is contained in Rn and f: L --> R and we describe the class of solutions bounded from below, with zeros and assuming on the boundary of the set of zeros only values multiple of a fixed a > 0. This class is the natural generalization of that described by Aleksandrov itself in the one-dimensional case.

Universality of the μ-predictor

Christopher S. Hardin (2013)

Fundamenta Mathematicae

For suitable topological spaces X and Y, given a continuous function f:X → Y and a point x ∈ X, one can determine the value of f(x) from the values of f on a deleted neighborhood of x by taking the limit of f. If f is not required to be continuous, it is impossible to determine f(x) from this information (provided |Y| ≥ 2), but as the author and Alan Taylor showed in 2009, there is nevertheless a means of guessing f(x), called the μ-predictor, that will be correct except on a small set; specifically,...

Δ₁-Definability of the non-stationary ideal at successor cardinals

Sy-David Friedman, Liuzhen Wu, Lyubomyr Zdomskyy (2015)

Fundamenta Mathematicae

Assuming V = L, for every successor cardinal κ we construct a GCH and cardinal preserving forcing poset ℙ ∈ L such that in L ℙ the ideal of all non-stationary subsets of κ is Δ₁-definable over H(κ⁺).

Σ -Hamiltonian and Σ -regular algebraic structures

Ivan Chajda, Petr Emanovský (1996)

Mathematica Bohemica

The concept of a -closed subset was introduced in [1] for an algebraic structure = ( A , F , R ) of type and a set of open formulas of the first order language L ( ) . The set C ( ) of all -closed subsets of forms a complete lattice whose properties were investigated in [1] and [2]. An algebraic structure is called - hamiltonian, if every non-empty -closed subset of is a class (block) of some congruence on ; is called - regular, if = 𝔽 for every two , 𝔽 ∈ whenever they have a congruence class B ∈ C ( ) in common....

Currently displaying 161 – 180 of 183