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Properties of therealization of inner functions

1999 European Control Conference (ECC), 1999
The authors study well-posed exactly (approximately) controllable and exactly (approximately) observable continuous-time linear system realizations of scalar-valued inner functions on the open right half-plane. They give necessary and sufficient conditions for the inner function \(G\) to have such a realization with exponentially stable associated ...
Birgit Jacob, Hans Zwart
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Properties of Symmetric Fitness Functions

IEEE Transactions on Evolutionary Computation, 2006
The properties of symmetric fitness functions are investigated. We show that the search spaces obtained from symmetric functions have the zero-correlation structures between fitness and distance. It is also proven that symmetric functions induce a class of the hardest problems in terms of the epistasis variance and its variants.
Sung-Soon Choi   +2 more
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Formalization of Properties of Functional Programs

Journal of the ACM, 1970
The problems of convergence, correctness, and equivalence of computer programs can be formulated by means of the satisfiability or validity of certain first-order formulas. An algorithm is presented for constructing such formulas for functional programs, i.e. programs defined by LISP-like conditional recursive expressions.
Zohar Manna, Amir Pnueli
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On a Property of Functions on the Sphere

Mathematical Notes, 2001
The well-known Knaster conjecture claims the following: for any points \(w_1,\dots, w_k\in S^{k+m-2}\) and an arbitrary (continuous map) \(f: S^{k+m-2}\to \mathbb{R}^m\) there is a rotation \(A\in \text{SO}(k+m-1)\) of the sphere such that \(f(Aw_1)=\cdots= f(Aw_k)\). The author proves this conjecture for the case in which \(n= p^2\) for an odd prime \(
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On a Property of Harmonic Functions

Zeitschrift für Analysis und ihre Anwendungen, 1995
If we divide the space \mathbb R^n into two disjoint areas with one common hypersurface and define a harmonic function in each part of these areas such that their gradients vanish at infinity and the normal components of their gradients are equal on
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On the properties of McShane’s functional and their applications

Periodica Mathematica Hungarica, 2013
In this paper we derive some remarkable properties of McShane's functional, defined by means of positive isotonic linear functional. These properties are then applied to weighted generalized means. Series of consequences among additive and multiplicative type mean inequalities is given, as well as a special consideration of Holder's inequality, in view
Mario Krnic   +2 more
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Differential properties of power functions

International Journal of Information and Coding Theory, 2010
Some properties of power permutations, that is, monomials bijective mappings on F2n , are investigated. In particular, the differential spectrum of these functions is shown to be of great interest for estimating their resistance to some variants of differential cryptanalysis.
Céline Blondeau   +2 more
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Properties of a notation for combining functions

Journal of the ACM, 1982
A combinator called a pipe is proposed for combining functions in a linear order. Examples suggest that semantics rules using pipes are easy to read and understand, even for readers with little knowledge of semantics. The readability is a consequence of the operational intuition associated with pipes.
Jean-Claude Raoult, Ravi Sethi
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Monotonicity properties of ‐functions

Mathematische Nachrichten, 2018
AbstractWe present some monotonicity results for a class of Dirichlet series generalizing previously known results. The fact that is in that class presents a first example of an arithmetic function for which the associated Dirichlet series is completely monotonic, but not logarithmically completely monotonic. Lastly, we use similar techniques to prove
Chaubey, Sneha   +2 more
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A Property of Piecewise Smooth Functions

Computational Optimization and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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