scholarly journals THE EQUALITY PROBLEM FOR RATIONAL SERIES WITH MULTIPLICITIES IN THE TROPICAL SEMIRING IS UNDECIDABLE

1994 ◽  
Vol 04 (03) ◽  
pp. 405-425 ◽  
Author(s):  
DANIEL KROB
Keyword(s):  
Tropical Semiring ◽  
Rational Series ◽  
Equality Problem

scholarly journals Convergence rate analysis of an iterative algorithm for solving the multiple-sets split equality problem

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Shijie Sun ◽  
Meiling Feng ◽  
Luoyi Shi
Keyword(s):  
Convergence Rate ◽  
Iterative Algorithm ◽  
Sufficient Conditions ◽  
Linear Convergence ◽  
Regularity Property ◽  
Step Size ◽  
Bounded Linear ◽  
Split Equality Problem ◽  
Linear Convergence Rate ◽  
Equality Problem

Abstract This paper considers an iterative algorithm of solving the multiple-sets split equality problem (MSSEP) whose step size is independent of the norm of the related operators, and investigates its sublinear and linear convergence rate. In particular, we present a notion of bounded Hölder regularity property for the MSSEP, which is a generalization of the well-known concept of bounded linear regularity property, and give several sufficient conditions to ensure it. Then we use this property to conclude the sublinear and linear convergence rate of the algorithm. In the end, some numerical experiments are provided to verify the validity of our consequences.

Languages Accepted by Weighted Restarting Automata*

2021 ◽  
Vol 180 (1-2) ◽  
pp. 151-177
Author(s):  
Qichao Wang
Keyword(s):  
General Class ◽  
Formal Languages ◽  
Input Word ◽  
Additional Requirement ◽  
Tropical Semiring

Weighted restarting automata have been introduced to study quantitative aspects of computations of restarting automata. In earlier works we studied the classes of functions and relations that are computed by weighted restarting automata. Here we use them to define classes of formal languages by restricting the weight associated to a given input word through an additional requirement. In this way, weighted restarting automata can be used as language acceptors. First, we show that by using the notion of acceptance relative to the tropical semiring, we can avoid the use of auxiliary symbols. Furthermore, a certain type of word-weighted restarting automata turns out to be equivalent to non-forgetting restarting automata, and another class of languages accepted by word-weighted restarting automata is shown to be closed under the operation of intersection. This is the first result that shows that a class of languages defined in terms of a quite general class of restarting automata is closed under intersection. Finally, we prove that the restarting automata that are allowed to use auxiliary symbols in a rewrite step, and to keep on reading after performing a rewrite step can be simulated by regular-weighted restarting automata that cannot do this.

Stochastic Sensitivity Analysis of Structural Systems With Interval Uncertainties

2013 ◽  
Author(s):  
Giuseppe Muscolino ◽  
Roberta Santoro ◽  
Alba Sofi
Keyword(s):  
Sensitivity Analysis ◽  
Series Expansion ◽  
Neumann Series ◽  
Mean Value ◽  
Frame Structure ◽  
Young’S Moduli ◽  
Rational Series ◽  
Power Spectral ◽  
Stochastic Sensitivity Analysis ◽  
Neumann Series Expansion

Interval sensitivity analysis of linear discretized structures with uncertain-but-bounded parameters subjected to stationary multi-correlated Gaussian stochastic processes is addressed. The proposed procedure relies on the use of the so-called Interval Rational Series Expansion (IRSE), recently proposed by the authors as an alternative explicit expression of the Neumann series expansion for the inverse of a matrix with a small rank-r modification and properly extended to handle also interval matrices. The IRSE allows to derive approximate explicit expressions of the interval sensitivities of the mean-value vector and Power Spectral Density (PSD) function matrix of the interval stationary stochastic response. The effectiveness of the proposed method is demonstrated through numerical results pertaining to a seismically excited three-storey frame structure with interval Young’s moduli of some columns.

Iterative algorithm for the split equality problem in Hilbert spaces

2016 ◽  
Vol 22 (1) ◽  
Author(s):  
Godwin Chidi Ugwunnadi
Keyword(s):  
Strong Convergence ◽  
Iterative Algorithm ◽  
Hilbert Spaces ◽  
Split Equality Problem ◽  
Equality Problem

AbstractIn this paper, we studied the split equality problems (SEP) with a new proposed iterative algorithm and established the strong convergence of the proposed algorithm to solution of the split equality problems (SEP).

scholarly journals Desigualdad de género en las carreras STEM en el Uruguay. Construyendo cultura y registros: la experiencia en Institut Pasteur de Montevideo con InMujeres (Uruguay)=Gender inequality in STEM careers in Uruguay. Building culture and records: the experience at the Institut Pasteur de Montevideo with InMujeres (Uruguay)

2020 ◽  
pp. 143
Author(s):  
Victoria Prieto-Echagüe
Keyword(s):  
Public Policy ◽  
Gender Equality ◽  
Gender Inequality ◽  
Cultural Changes ◽  
Policy Tool ◽  
Participation Of Women ◽  
Politica Publica ◽  
Building Culture ◽  
Equality Problem ◽  
Las Mujeres

<p><strong>Resumen</strong></p><p>En el Uruguay la participación global en la investigación es paritaria, aunque las mujeres tienen una participación minoritaria en los ámbitos de decisión. Se reportan aquí indicadores para visibilizar el problema de desigualdad de género en la ciencia como un problema público. Se analizan las consecuencias y causas de este problema y se proponen lineamientos para una política pública de igualdad enfocada en atender las necesidades estratégicas de género. Finalmente, se describe la experiencia de un instituto de investigación con la aplicación de una herramienta de política pública de igualdad de género diseñada para promover cambios culturales en las organizaciones. Esta u otra herramienta auditable podría convertirse en un pilar fundamental de una política pública de igualdad en la ciencia. </p><p><strong>Abstract</strong></p><p>In Uruguay, global participation of women in research is equal, although they do not have equal participation in decision-making spaces. Here I report inidcators that show a gap in women participation and visibilize a gender equality problem in science and academia. The consequences and causes of this problem are analyzed and guidelines are proposed for a public equality policy focused on addressing the strategic gender needs. Finally, I describe the experience of a research institute with the application of a gender equality public policy tool designed to promote and bring about cultural changes in organizations. This or a similar auditable tool could become a fundamental pillar for a public policy of equality in science.</p>

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