The Dirac-Delta Function and its Proper-
On the Calculus of Dirac Delta Function with Some Applications
... Abstract : In this paper, we present different properties of Dirac delta function, provided with simple proof and definite integral. we obtain some results on the derivative of discontinuous ...
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A Few Notes On The Dirac Delta Function And The Laplace Transform
... These notes began life as some thoughts on the Dirac Delta Function and evolved into notes on several related topics including Laplace Transforms.. The Dirac Delta function has all kinds[r] ...
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Delta shock wave with Dirac delta function in multiple components for the system of generalized Chaplygin gas dynamics
... gas. Its solutions exhibit five kinds of geometrical ...the delta shock wave with Dirac delta function in both den- sity and internal energy develops in the ...of delta shock wave ...
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Parametric Dirac Delta to Simplify the Solution of Linear and Nonlinear Problems with an Impulsive Forcing Function
... ABSTRACT The Laplace transform is a very useful tool for the solution of problems involving an impulsive excitation, usually rep- resented by the Dirac delta, but it does not work in nonlinear problems. In ...
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Parametrization to Improve the Solution Accuracy of Problems Involving the Bi Dimensional Dirac Delta in the Forcing Function
... the Dirac delta, obtained by differentiating the parametric equation of the unit step with a riser, is used to solve two examples referring to problems of a different physical nature, each with the product ...
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Regularizing discontinuities based on filtering using dirac delta kernels
... It is shown that this method yields stable results and higher order convergence away from the regularization zone for different discontinuous initial conditions. The influence of the variables of the regularized ...
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The Dirac electron consistent with proper gravitational and electromagnetic field of the Kerr-Newman solution
... the Dirac electron as a particle-like solution consistent with its own Kerr-Newman (KN) gravitational ...linearizes Dirac equation in KN space, we obtain solutions of the Dirac equation ...
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High order regularization of Dirac delta sources in two space dimensions
... singular sources In [3] a Particle-Source-In-Cell method for the simulation of 40 k bronze particles in a shocked flow is presented for the small scale interaction between shocks and solid particles for high-speed ...
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Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
... eodory function satisfies a Riccati differential equation, and the linear functionals satisfying this condition are said to be in the Laguerre–Hahn class on the unit ...
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Applications of Laplace transform Unit step functions and Dirac delta functions
... step function in solving initial value problems having discontinuous functions in the area of electric circuit theory, biological modeling and atomic control and ...of delta function in the area of ...
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The local counting function of operators of Dirac and Laplace type
... Sub(D) = Sub(γ ∇ e ) + ψ, which implies that ψ is pointwise proportional to the identity matrix. Thus we must have ψ = 0, and consequently, D = γ ∇ e is indeed a massless Dirac operator. Acknowledgments. Part of ...
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Putting Risk in its Proper Place
... in its Proper Place The concept of risk aversion has long been a cornerstone for modern research on the economics of ...utility function u is concave or, assuming di¤erentiability, that u 00 < ...
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Convolution. The Delta Function and Impulse Response
... This equation is called the convolution sum. It allows each point in the output signal to be calculated independently of all other points in the output signal. The index, i, determines which sample in the output signal ...
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Fourier Series, Transform, The Delta function
... Where ˆ b i are set of the basis vectors (which can be ˆi, ˆ j, ˆ k, for example). How can we find the coefficients a i easily? Recall that if ˆ b i · ˆ b j = 0 ∀ i 6= j and ˆ b i · ˆ bi = 1 (also called the ...
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Adequacy, Information and Capitalisation as a Function of Proper Corporate Governance
... extend its hermeneutic scope to its teleological connotation: the aim that must be achieved is to rationalize the organisational structure - that is, to tend towards towards guarantees in relation to both ...
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FACTORING IN TRADITION: THE PROPER ROLE OF THE TRADITIONAL GOVERNMENTAL FUNCTION TEST
... within its granted powers, Congress was allowed to regulate in areas traditionally regulated by the ...government function standard, she invoked the clear statement ...
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Appropriate Archival Building: Necessity for Proper Function of Any Archives
... of its kind in the world to incorporate auto- mated storage and retrieval systems, optimum environmental controls, and pioneering low-oxygen fire prevention technology in a single ...
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The analogy of equation of rotation in complex plane with the Dirac equation, and its foundation
... In present work, we try to use the classical concepts mentioned above to formulate a model analogous to the relativistic quantum mechanics. Thus this approach does not base on the quantum postulates (wave ...
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HSP70 is required for the proper assembly of pericentriolar material and function of mitotic centrosomes
... the ATPase-dependent substrate binding and pro- cessing activity of HSP70 and its interaction with co- chaperones are required for fully functional regulation of spindle assembly. In addition, PCNT accumulation at ...
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Dirac Plasmon Polaritons
... exhibits Dirac cones with collective plasmons that behave as chiral massless Dirac ...change its topology upon progressively tilting the polarisation, driving pairs of Dirac points to coalesce ...
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