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Related papers: Characterization of system signatures

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The subsignatures of a system with continuous and exchangeable component lifetimes form a class of indexes ranging from the Samaniego signature to the Barlow-Proschan importance index. These indexes can be computed through explicit linear…

Probability · Mathematics 2014-08-05 Jean-Luc Marichal

The concept of joint bivariate signature, introduced by Navarro et al. (2013), is a useful tool for quantifying the reliability of two systems with shared components. As with the univariate system signature, introduced by Samaniego (2007),…

Statistics Theory · Mathematics 2020-08-13 Tahani Coolen-Maturi , Frank P. A. Coolen , Narayanaswamy Balakrishnan

A possible method to solve the sign problem is developed by modifying the original theory. Considering several modifications of the partition function, the observable in the original theory is reconstructed from the identity connecting the…

High Energy Physics - Lattice · Physics 2017-11-30 Takahiro M. Doi , Shoichiro Tsutsui

We give a general notion of combinatory completeness with respect to a faithful cartesian club and use it systematically to obtain characterisations of a number of different kinds of applicative system. Each faithful cartesian club…

Category Theory · Mathematics 2026-02-10 Ivan Kuzmin , Chad Nester , Ülo Reimaa , Sam Speight

We consider systems of strict multivariate polynomial inequalities over the reals. All polynomial coefficients are parameters ranging over the reals, where for each coefficient we prescribe its sign. We are interested in the existence of…

Symbolic Computation · Computer Science 2018-09-06 Hoon Hong , Thomas Sturm

We lay the combinatorial foundations for [ShSt:340] by setting up and proving the essential properties of the coding apparatus for singular cardinals. We also prove another result concerning the coding apparatus for inaccessible cardinals.

Logic · Mathematics 2016-09-06 Saharon Shelah , Lee Stanley

A signed graph is a graph whose edges are signed. In a vertex-signed graph the vertices are signed. The latter is called consistent if the product of signs in every circle is positive. The line graph of a signed graph is naturally…

Combinatorics · Mathematics 2021-06-21 Thomas Zaslavsky

We consider a network consisting of $n$ components (links or nodes) and assume that the network has two states, up and down. We further suppose that the network is subject to shocks that appear according to a counting process and that each…

Applications · Statistics 2015-07-16 S. Zarezadeh , S. Ashrafi , M. Asadi

In this paper, we study the robustness of network topologies. We use the concept of percolation as measuring tool to assess the reliability polynomial of those systems which can be modeled as a general inhomogeneous random graph as well as…

Statistics Theory · Mathematics 2017-11-02 Farkhondeh A. Sajadi

How does one verify that the output of a complicated program is correct? One can formally prove that the program is correct, but this may be beyond the power of existing methods. Alternatively one can check that the output produced for a…

Data Structures and Algorithms · Computer Science 2013-03-08 Loukas Georgiadis , Robert E. Tarjan

This paper consider the problem of determining the reliability of a software system which can be decomposed in a number of modules. We have derived the expression of the reliability of a system using the Markovian model for the transfer of…

Applications · Statistics 2009-08-21 Rudrani Banerjee , Angshuman Sarkar

We introduce the concept of subsignature for semicoherent systems as a class of indexes that range from the system signature to the Barlow-Proschan importance index. Specifically, given a nonempty subset M of the set of components of a…

Probability · Mathematics 2013-11-27 Jean-Luc Marichal

Redactable signature allows anyone to remove parts of a signed message without invalidating the signature. The need to prove the validity of digital documents issued by governments is increasing. When governments disclose documents, they…

Cryptography and Security · Computer Science 2023-04-12 Masayuki Tezuka , Keisuke Tanaka

Signed networks appear naturally in contexts where conflict or animosity is apparent. In this book chapter we review some of the literature on signed networks, especially in the context of partitioning. Most of the work is founded in what…

Physics and Society · Physics 2018-03-07 V. A. Traag , P. Doreian , A. Mrvar

The contribution of this paper is threefold: first, it defines a framework for modelling component-based systems, as well as a formalization of integration rules to combine their behavior. This is based on finite state machines (FSM).…

Software Engineering · Computer Science 2014-06-12 Bilal Kanso , Omar Chebaro

Signed networks provide a principled framework for representing systems in which interactions are not merely present or absent but qualitatively distinct: friendly or antagonistic, supportive or conflicting, excitatory or inhibitory. This…

A probability method is provided to prove three classes of combinatorial identities. The method is extremely simple, only one step after the proper probability setup.

Combinatorics · Mathematics 2009-11-02 Tong Zhu

We investigate the signed support, that is, the set of the exponent vectors and the signs of the coefficients, of a multivariate polynomial $f$. We describe conditions on the signed support ensuring that the semi-algebraic set, denoted as…

Algebraic Geometry · Mathematics 2024-08-28 Máté L. Telek

Many concurrent and distributed systems are safety-critical and therefore have to provide a high degree of assurance. Important properties of such systems are frequently proved on the specification level, but implementations typically…

Logic in Computer Science · Computer Science 2023-08-22 Wolfgang Jeltsch , Javier Díaz

Signcryption is a cryptographic primitive which performs encryption and signature in a single logical step. In conventional signcryption only receiver of the signcrypted text can verify the authenticity of the origin i.e. signature of the…

Cryptography and Security · Computer Science 2011-07-12 Prashant Kushwah , Sunder Lal
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