منابع مشابه
Intergenerational equity: sup, inf, lim sup, and lim inf
We study the problem of intergenerational equity for utility streams and a countable set of agents. A numerical social welfare function is invariant to ordinal transformation, satis es a weak monotonicity condition, and an invariance with respect to concatenation of utility streams if and only if it is either the sup, inf, lim sup, or lim inf.
متن کاملCompactness of Lim-inf Topology
L {inf B; B ranges over subsets of L: B ∈ F}. One can prove the following proposition (1) Let L1, L2 be complete lattices. Suppose the relational structure of L1 = the relational structure of L2. Let X1 be a non empty subset of L1, X2 be a non empty subset of L2, F1 be a filter of 2 X1 ⊆ , and F2 be a filter of 2 X2 ⊆ . If F1 = F2, then lim inf F1 = lim inf F2. Let L be a non empty FR-structure...
متن کاملLim-inf Convergence and its Compactness
We describe the Mizar formalization of the proof of compactness of lim-inf convergence given in [W33] according to [CCL]. Lim-inf convergence formalized in [W28] is a Moore-Smith convergence investigated in [Y6] and involves the concept of nets. The proof is based on the equivalence of two approaches to convergence in topological spaces: filter convergence and Moore-Smith (net) convergence. The...
متن کاملMeasure theoretic laws for lim–sup sets
Given a compact metric space (Ω, d) equipped with a non-atomic, probability measure m and a real, positive decreasing function ψ we consider a ‘natural’ class of lim sup subsets Λ(ψ) of Ω. The classical lim sup sets of ‘well approximable’ numbers in the theory of metric Diophantine approximation fall within this class. We show that m(Λ(ψ)) > 0 under a ‘global ubiquity’ hypothesis and the diverg...
متن کاملInvariance-Like Theorems and "lim inf" Convergence Properties
Several theorems, inspired by the Krasovskii-LaSalle invariance principle, to establish “lim inf” convergence results are presented in a unified framework. These properties are useful to “describe” the oscillatory behavior of the solutions of dynamical systems. The theorems resemble “lim inf” Matrosov and Smallgain theorems and are based on a “lim inf” Barbalat’s Lemma. Additional technical ass...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: DEStech Transactions on Social Science, Education and Human Science
سال: 2017
ISSN: 2475-0042
DOI: 10.12783/dtssehs/ermm2017/14697