scholarly journals Using Algebraic Inequalities to Reduce Uncertainty and Risk

2020 ◽  
Vol 6 (4) ◽  
Author(s):  
Michael Todinov
Keyword(s):  
Independent Method ◽  
Large Batch ◽  
Right Hand ◽  
Real Process ◽  
Left And Right ◽  
Series Systems ◽  
Domain Independent ◽  
Counterintuitive Result ◽  
Parallel Series

Abstract The paper discusses applications of the domain-independent method of algebraic inequalities, for reducing uncertainty and risk. Algebraic inequalities have been used for revealing the intrinsic reliability of competing systems and ranking the systems in terms of reliability in the absence of knowledge related to the reliabilities of their components. An algebraic inequality has also been used to establish the principle of the well-ordered parallel-series systems which, in turn, has been applied to maximize the reliability of common parallel-series systems. The paper introduces linking an abstract inequality to a real process by a meaningful interpretation of the variables entering the inequality and its left- and right-hand parts. The meaningful interpretation of a simple algebraic inequality led to a counterintuitive result. If two varieties of items are present in a large batch, the probability of selecting randomly two items of different variety is smaller than the probability of selecting randomly two items of the same variety.

Visual context differentially mediates left- and right-hand reaching movements

2009 ◽  
Author(s):  
Jos J. Adam ◽  
Susan Hoonhorst ◽  
Rick Muskens ◽  
Jay Pratt ◽  
Martin H. Fischer
Keyword(s):  
Reaching Movements ◽  
Visual Context ◽  
Right Hand ◽  
Left And Right

Asymmetry in emission of photons with left- and right-hand circular polarizations in two-photon decay

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Konstantin N. Lyashchenko ◽  
Victoria A. Knyazeva ◽  
Oleg Yu. Andreev ◽  
Deyang Yu
Keyword(s):  
Two Photon ◽  
Photon Decay ◽  
Right Hand ◽  
Left And Right

Optimal allocation of a coherent system with statistical dependent subsystems

2021 ◽  
pp. 1-20
Author(s):  
Bin Lu ◽  
Jiandong Zhang ◽  
Rongfang Yan
Keyword(s):  
Hazard Rate ◽  
Optimal Allocation ◽  
Stochastic Order ◽  
Sufficient Conditions ◽  
Parallel Systems ◽  
Coherent System ◽  
Allocation Policy ◽  
Usual Stochastic Order ◽  
Series Systems ◽  
Parallel Series

Abstract This paper studies the optimal allocation policy of a coherent system with independent heterogeneous components and dependent subsystems, the systems are assumed to consist of two groups of components whose lifetimes follow proportional hazard (PH) or proportional reversed hazard (PRH) models. We investigate the optimal allocation strategy by finding out the number $k$ of components coming from Group A in the up-series system. First, some sufficient conditions are provided in the sense of the usual stochastic order to compare the lifetimes of two-parallel–series systems with dependent subsystems, and we obtain the hazard rate and reversed hazard rate orders when two subsystems have independent lifetimes. Second, similar results are also obtained for two-series–parallel systems under certain conditions. Finally, we generalize the corresponding results to parallel–series and series–parallel systems with multiple subsystems in the viewpoint of the minimal path and the minimal cut sets, respectively. Some numerical examples are presented to illustrate the theoretical findings.

Left and Right Hand Distinction for Multi-touch Displays

2011 ◽  
pp. 155-158
Author(s):  
Benjamin Walther-Franks ◽  
Marc Herrlich ◽  
Markus Aust ◽  
Rainer Malaka
Keyword(s):  
Right Hand ◽  
Left And Right

Intermediate-Advanced Level—Part 2

2019 ◽  
pp. 203-222
Author(s):  
Karel Butz
Keyword(s):  
Body Movement ◽  
Harmonic Structure ◽  
Advanced Level ◽  
Right Hand ◽  
Hand Eye Coordination ◽  
Left And Right ◽  
Hand Coordination

The chapter provides several rehearsal concepts that develop stronger rhythmic precision and phrasing concepts within the intermediate-advanced orchestra. Rhythmic precision depends the students’ ability to cognitively interpret and intrinsically feel the rhythmic notation correctly, as well as the students’ ability to maneuver the bow in such a way that the articulation is rhythmically precise. The author discusses ensemble development activities designed to promote better intrinsic pulse, hand-eye coordination with the bow, leadership, listening, and left- and right-hand coordination. In addition, the chapter discusses how beautiful phrasing is developed by listening, singing, using imagery, identifying harmonic structure, and incorporating body movement.

Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives

2020 ◽  
Vol 23 (1) ◽  
pp. 103-125 ◽  
Author(s):  
Latif A-M. Hanna ◽  
Maryam Al-Kandari ◽  
Yuri Luchko
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Fractional Derivatives ◽  
Fractional Integrals ◽  
Operational Method ◽  
Initial Value ◽  
Right Hand ◽  
Fractional Differential ◽  
Left And Right ◽  
Fractional Integrals And Derivatives

AbstractIn this paper, we first provide a survey of some basic properties of the left-and right-hand sided Erdélyi-Kober fractional integrals and derivatives and introduce their compositions in form of the composed Erdélyi-Kober operators. Then we derive a convolutional representation for the composed Erdélyi-Kober fractional integral in terms of its convolution in the Dimovski sense. For this convolution, we also determine the divisors of zero. These both results are then used for construction of an operational method for solving an initial value problem for a fractional differential equation with the left-and right-hand sided Erdélyi-Kober fractional derivatives defined on the positive semi-axis. Its solution is obtained in terms of the four-parameters Wright function of the second kind. The same operational method can be employed for other fractional differential equation with the left-and right-hand sided Erdélyi-Kober fractional derivatives.

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