Results 31 to 40 of about 4,516 (175)
Cramer's rule for a class of coupled Sylvester commutative quaternion matrix equations
Demonstratio MathematicaIn this article, based on the real representation and Kronecker product, Cramer’s rule for a class of coupled Sylvester commutative quaternion matrix equations is studied and its expression is obtained.
Cai Xiaomin, Ke Yifen, Ma Changfeng
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Analysis of the dynamic response of multielement semiconductor lasers [PDF]
, 1985 We present a derivation of the dynamic response of a semiconductor laser consisting of more than one active element. We show that the amplitude and phase of the modulated cavity adiabatically follows the complex resonance of the composite cavity; and ...
Lang, Robert J., Yariv, Amnon
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Twisted Baker–Akhiezer function from determinants
European Physical Journal C: Particles and FieldsGeneral description of eigenfunctions of integrable Hamiltonians associated with the integer rays of Ding–Iohara–Miki (DIM) algebra, is provided by the theory of Chalykh Baker–Akhiezer functions (BAF) defined as solutions to a simply looking linear ...
A. Mironov, A. Morozov, A. Popolitov
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An Earlier Date for “Cramer's Rule”
Historia Mathematica, 1999 The author justifies the claim made by the historian Carl Boyer that Cramer's rule for the solution of a set of linear equations was known to Colin MacLaurin (1698-1746) by 1729. His evidence comes from MacLaurin's Nachlass, which contains a transcription made that year of his `treatise of algebra, which was to appear in print posthumously, in 1748 ...
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Proof of Cramer’s rule with Dirac delta function
European Journal of Physics, 2020 Abstract We present a new proof of Cramer’s rule by interpreting a system of linear equations as a transformation of n-dimensional Cartesian-coordinate vectors. To find the solution, we carry out the inverse transformation by convolving the original coordinate vector with Dirac delta functions and changing integration variables from the ...
June-Haak Ee, Jungil Lee, Chaehyun Yu
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Theoretical constraints in the design of multivariable control systems [PDF]
The theoretical constraints inherent in the design of multivariable control systems were defined and investigated. These constraints are manifested by the system transmission zeros that limit or bound the areas in which closed loop poles and individual ...
Mook, D. J., Rynaski, E. G.
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A Generalization of Cramer’s Rule
Advances in Linear Algebra & Matrix Theory, 2015 In this paper, we find two formulas for the solutions of the following linear equation , where is a real matrix. This system has been well studied since the 1970s. It is known and simple proven that there is a solution for all if, and only if, the rows of A are linearly independent, and the minimum norm solution is given by the Moore-Penrose inverse ...
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A comprehensive model to determine the effects of temperature and species fluctuations on reaction rates in turbulent reacting flows [PDF]
The use of probability theory to determine the effects of turbulent fluctuations on reaction rates in turbulent combustion systems is briefly reviewed. Results are presented for the effect of species fluctuations in particular. It is found that turbulent
Chinitz, W. +3 more
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Physiotherapy QuarterlyIntroduction Generalised Anxiety Disorder (GAD) and prolonged working hours have negative impacts on the human musculoskeletal system. The study investigated the association between GAD and work-related musculoskeletal disorders (WMSDs) among medical ...
Rimsha Khurshid +5 more
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Regulation and the Provision of Quality to Heterogenous Consumers: The Case of Prospective Pricing of Medical Services [PDF]
This gaper analyzes the welfare implications of fixed price regulation in a model in which consumers are heterogeneous and a firm can endogenously quality discriminate.
Paul J. Gertler, Robin Allen
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