A characterization of Jordan and Lebesgue measures
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Zs. Jakab, M. Laczkovich (1978)
Colloquium Mathematicae
Andrew Yingst (2014)
Colloquium Mathematicae
Consider an experiment with d+1 possible outcomes, d of which occur with probabilities . If we consider a large number of independent occurrences of this experiment, the probability of any event in the resulting space is a polynomial in . We characterize those polynomials which arise as the probability of such an event. We use this to characterize those x⃗ for which the measure resulting from an infinite sequence of such trials is good in the sense of Akin.
Gaspar Mora, Juan A. Mira (2002)
RACSAM
En este artículo revisamos un famoso teorema, descubierto por H. Steinhaus en 1936, en el que se da una condición suficiente que permite obtener las funciones coordenadas de una curva que llena el cuadrado unidad. Ponemos de manifiesto que el recíproco de este teorema no se cumple para la curva de Lebesgue. Aquí proponemos un teorema de caracterización de curvas que llenan el espacio, basado en una condición de llenado. Asimismo, damos una caracterización constructiva de esta condición de llenado...
Joanna Chachulska (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
Is the Lebesgue measure on [0,1]² a unique product measure on [0,1]² which is transformed again into a product measure on [0,1]² by the mapping ψ(x,y) = (x,(x+y)mod 1))? Here a somewhat stronger version of this problem in a probabilistic framework is answered. It is shown that for independent and identically distributed random variables X and Y constancy of the conditional expectations of X+Y-I(X+Y > 1) and its square given X identifies uniform distribution either absolutely continuous or discrete....
Giuseppina Barbieri (2019)
Kybernetika
A version of Dieudonné theorem is proved for lattice group-valued modular measures on lattice ordered effect algebras. In this way we generalize some results proved in the real-valued case.
Vladimír Palko (1988)
Mathematica Slovaca
Jacek Jachymski (2005)
Studia Mathematica
We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.
Cutler, C.D. (1988)
International Journal of Mathematics and Mathematical Sciences
Bouzar, N. (1999)
Acta Mathematica Universitatis Comenianae. New Series
Bohdan Aniszczyk (1986)
Colloquium Mathematicae
James Fickett, Jan Mycielski (1979)
Colloquium Mathematicae
Martin Kalina (1989)
Commentationes Mathematicae Universitatis Carolinae
Jörn Lembcke (1980)
Czechoslovak Mathematical Journal
Harry I. Miller (1986)
Aequationes mathematicae
Zdena Riečanová (1982)
Mathematica Slovaca
J.M. Ayerbe Toledano (1984)
Collectanea Mathematica
Michael Björklund, Daniel Schnellmann (2010)
Annales de l'I.H.P. Probabilités et statistiques
We prove an extension of a result by Peres and Solomyak on almost sure absolute continuity in a class of symmetric Bernoulli convolutions.
John A. Haight (1984/1985)
Groupe d'étude en théorie analytique des nombres
Miguel-Ángel Sicilia, Elena García Barriocanal, Tomasa Calvo (2003)
Kybernetika
The concept of usability of man-machine interfaces is usually judged in terms of a number of aspects or attributes that are known to be subject to some rough correlations, and that are in many cases given different importance, depending on the context of use of the application. In consequence, the automation of judgment processes regarding the overall usability of concrete interfaces requires the design of aggregation operators that are capable of modeling approximate or ill-defined interactions...
P. Erdös, H. Kestelman, C. Rogers (1963)
Colloquium Mathematicae
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