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[KNIHA][B] Characterization of information measures
B Ebanks, PK Sahoo, W Sander - 1998 - books.google.com
How should information be measured? That is the motivating question for this book. The
concept of information has become so pervasive that people regularly refer to the present …
concept of information has become so pervasive that people regularly refer to the present …
[KNIHA][B] The covering property axiom, CPA: A combinatorial core of the iterated perfect set model
K Ciesielski, J Pawlikowski - 2004 - books.google.com
Here the authors formulate and explore a new axiom of set theory, CPA, the Covering
Property Axiom. CPA is consistent with the usual ZFC axioms, indeed it is true in the iterated …
Property Axiom. CPA is consistent with the usual ZFC axioms, indeed it is true in the iterated …
[PDF][PDF] The covering property axiom, CPA
K Ciesielski, J Pawlikowski - Cambridge Tracts in Mathematics, 2004 - Citeseer
Many interesting mathematical properties, especially concerning real analysis, are known to
be true in the iterated perfect set (Sacks) model, while they are false under the continuum …
be true in the iterated perfect set (Sacks) model, while they are false under the continuum …
Lipschitz stability of the Cauchy and Jensen equations
J Tabor - Results in Mathematics, 1997 - Springer
Let G be an amenable metric semigroup with nonempty center, let E be a reflexive Banach
space, and let ƒ: G→ E be a given function. By Cƒ: G× G→ E we understand the Cauchy …
space, and let ƒ: G→ E be a given function. By Cƒ: G× G→ E we understand the Cauchy …
Two constructions of Sierpiński and some cardinal invariants of ideals
M Laczkovich - 1999 - projecteuclid.org
Let N denote the ideal of null sets in R. Using CH Sierpiński constructed a set A⊂R
satisfying A∉N,R∖A∉N, and (A+h)∖A∈N for every h∈R. He also constructed a set H⊂R …
satisfying A∉N,R∖A∉N, and (A+h)∖A∈N for every h∈R. He also constructed a set H⊂R …
On the Cauchy difference
K Baron, P Kannappan - aequationes mathematicae, 1993 - Springer
Assume that E and F are real topological vector spaces (which are assumed to be
Hausdorff) and let K be a countable and discrete subgroup of F. Suppose f: E→ F satisfies f …
Hausdorff) and let K be a countable and discrete subgroup of F. Suppose f: E→ F satisfies f …
Difference functions of periodic measurable functions
T Keleti - Fundamenta Mathematicae, 1998 - eudml.org
Abstract top We investigate some problems of the following type: For which sets H is it true
that if f is in a given class ℱ of periodic functions and the difference functions Δ hf (x)= f (x+ h) …
that if f is in a given class ℱ of periodic functions and the difference functions Δ hf (x)= f (x+ h) …
Nice Hamel bases under the covering property axiom
K Ciesielski, J Pawlikowski - Acta Mathematica Hungarica, 2004 - Springer
We prove that axiom CPA game prism, which follows from the Covering Property Axiom CPA
and holds in the iterated perfect set model, implies that there exists a Hamel basis which is a …
and holds in the iterated perfect set model, implies that there exists a Hamel basis which is a …
Stability of the Cauchy type equations in the class of differentiable functions
J Tabor, J Tabor - Journal of approximation theory, 1999 - Elsevier
LetXbe a real normed space, Ya real Banach space, and letCn (X, Y) denote the space ofn-
times continuously differentiable functionsf: X→ Y. We prove that the classCnhas the double …
times continuously differentiable functionsf: X→ Y. We prove that the classCnhas the double …
[PDF][PDF] On the Difference Property of Borel Measurable and -Measurable Functions
R Filipów, I Recław - Acta Mathematica Hungarica, 2002 - mat.ug.edu.pl
On the Difference Property of Borel Measurable and <InlineEquation ID="IE1"><EquationSource
Format="MATH Page 1 Acta Math. Hungar. 96 (1-2) (2002), 21-25. ON THE DIFFERENCE …
Format="MATH Page 1 Acta Math. Hungar. 96 (1-2) (2002), 21-25. ON THE DIFFERENCE …