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Characterization of homogeneous and quasi-homogeneous binary aggregation functions

Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Su 0001, Wenwen Zong, Radko Mesiar
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On Homogeneous Bent Functions

2001
A new surprising connection between invariant theory and the theory of bent functions is established. This enables us to construct Boolean function having a prescribed symmetry given by a group action. Besides the quadratic bent functions the only other known homogeneous bent functions are the six variable degree three functions constructed in [14]. We
Chris Charnes   +2 more
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HOMOGENEOUS FUNCTIONALLY ALEXANDROFF SPACES

Bulletin of the Australian Mathematical Society, 2017
A function $f:X\rightarrow X$ determines a topology $P(f)$ on $X$ by taking the closed sets to be those sets $A\subseteq X$ with $f(A)\subseteq A$. The topological space $(X,P(f))$ is called a functionally Alexandroff space. We completely characterise the homogeneous functionally Alexandroff spaces.
SAMI LAZAAR, TOM RICHMOND, HOUSSEM SABRI
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REITERATED HOMOGENIZATION OF INTEGRAL FUNCTIONALS

Mathematical Models and Methods in Applied Sciences, 2000
We consider the homogenization of sequences of integral functionals defined on media with several length-scales. Our general results connected to the corresponding homogenized functional are used to analyze new types of structures and to illustrate the wide range of effective properties achievable through reiteration.
Braides, Andrea, Lukkassen, Dag
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Harmonic Functions on Homogeneous Spaces

Monatshefte f�r Mathematik, 1999
Let \(G\) be a locally compact group acting on a locally compact space \(X\) and \(\sigma\) a probability measure on \(G\). A real Borel function on \(X\) is said to be \(\sigma\)-harmonic if it satisfies the convolution equation \(f=\sigma *f\). In 1963, \textit{H. Furstenberg} [Ann. Math.
Chu, Cho-Ho, Leung, Chi-Wai
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Dynamic Programming with Homogeneous Functions

Journal of Economic Theory, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alvarez, Fernando, Stokey, Nancy L.
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Regularity functions for homogeneous algebras

Archiv der Mathematik, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Herzog J., RESTUCCIA, Gaetana
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On the Existence of a Homogeneous Transition Function

Theory of Probability & Its Applications, 1987
See the review in Zbl 0607.60061.
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Circuit complexity of slice functions and homogeneous functions

Systems and Computers in Japan, 1994
AbstractThis paper discusses the complexity from the viewpoint of the number of circuit elements for the slice functions and the homogeneous function, which belong to the class of monotonic logic functions. The slice function is one of those functions in which the circuit complexity is almost equal to the monotonic circuit complexity.The n‐input k ...
Shoichi Hirose, Shuzo Yajima
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APPROXIMATION OF HOMOGENEOUS SUBHARMONIC FUNCTIONS

Mathematics of the USSR-Sbornik, 1989
Let D be a convex domain on the plane and the function H(z), \(z\in D\) be defined as \(H(z)=\max_{\lambda \in D}Re(\lambda z).\) This function is a homogeneous subharmonic function on the plane. The note under review is devoted to the question of the existence of a holomorphic function L, such that \(| L|\) is asymptotically close to the function exp ...
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