exact closed-form results
Some exact results on closed queueing networks with blocking
... In general, closed queueing networks with finite buffers (hereafter referred to as CQN-B) could not be shown to have product form solutions. Hence, these algorithms are not applicable wh[r] ...
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Buckling and Post-buckling Analysis of FG-CNTRC Beams: An Exact Closed Form Solution
... In this section, a parametric study is conducted to show the effects of different variables on the post- buckling characteristics of FG-CNTRC beams. Also, the present solutions arecompared with the results ...
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Construction of Exact Parametric or Closed Form Solutions of Some Unsolvable Classes of Nonlinear ODEs (Abel's Nonlinear ODEs of the First Kind and Relative Degenerate Equations)
... the results of 10, we proposed a new mathematical methodology and we succeed in giving new mathematical techniques in constructing analytic or closed form solutions of a class of degenerate Abel’s ...
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Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
... general closed form solitons to time fractional two dimensional and three dimensional Schrodinger equations by means of the efficient technique known as modified simple equation (MSE) ...general form ...
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Double Barrier Hitting Time Distribution of a Mean-reverting Lognormal Process and Its Application to Pricing Exotic Options
... the exact double barrier hitting time distribution function (in closed form) of the MRL-process with two parametric moving bar- riers, we are able to obtain very accurate estimate (in closed ...
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Computing Exact Closed-Form Distance Distributions in Arbitrarily Shaped Polygons with Arbitrary Reference Point »
... This article is organized as follows. In the remainder of Section 1, we briefly summarize the algorithm in [1] and define the commonly used notation. In Section 2, we discuss the shoelace formula and its proposed ...
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Exact Electromagnetic Field Excited by a Vertical Magnetic Dipole on the Surface of a Lossy Half-Space
... the exact evaluation of the complete integral representations for the time-harmonic electromagnetic (EM) field components generated by a vertical magnetic dipole (VMD) lying on the surface of a flat and ...
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Use of a Strongly Nonlinear Gambier Equation for the Construction of Exact Closed Form Solutions of Nonlinear ODEs
... a form included in the group of 50 equations mentioned ...an exact closed form solution depending on the parameters of the equation and containing two arbitrary constants which yield a special ...
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Exact Closed-Form Solution for Vibration Analysis of Beams Carrying Lumped Masses with Rotary Inertias
... typical results calculated by the presented model confirmed an excellent coincidence with the presented results of the other ...the results discussed earlier, several conclusions can be addressed as ...
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Asymptotics of rare events in birth–death processes bypassing the exact solutions
... here, exact closed-form solutions for the mean first passage time between any two states are available and the near-continuum expansion of these formulae defines the correct limiting behaviour and is ...
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Closed Form Solutions for Nonuniform Transmission Lines
... ω/c, in which c is the velocity of the light. Figure 2, compare the parameter A versus frequency assuming k = 1, obtained from three introduced solutions with the exact one [14]. One sees that the accuracy of ...
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Clones: CLOsed queueing Networks Exact Sampling
... gorithm, based on even more compact representation. The complexity of one-step transition of this new CFTP algo- rithm is O(KM ). Note that this is the same as the com- plexity of the computation of the normalizing ...
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Accurate Approximations for the Capacity Distribution of OFDM Based Spatial Multiplexing
... the exact two/three antenna results in [11, 12], outage capacity analysis has typically involved approximating the distribution of the mutual information, since exact closed-form ...
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Exact Closed Form Formula for Self Inductance of Conductor of Rectangular Cross Section
... same results as FastHenry’s, Ruehli’s and all Hoer’s formulae (21) and (22) for all dimensions of a ...computational results show that our formulae are numerically more stable and accurate for all ...
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e) Assuming an integral controller, , determine closed loop transfer function, (f) Assuming an integral controller, , determine the value of so the steady state error for a unit step
... the closed loop transfer function we expect to get if the mathematical model of the plant is exact, and the red line shows the results using the model matching control ...
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On the design of external excitations in order to make nonlinear oscillators respond as free oscillators of the same or different type
... an exact analytical steady-state solution, noting that these are normally very scarce in Nonlinear ...the exact steady states of a certain class of strongly nonlinear systems of two degrees of ...
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Numerical study of the F model with domain-wall boundaries
... weaker form, these checkerboards survive thermal averaging: unlike the one in the AF region for even L it is a physical property of the system; see also the Supplemental Material to this work ...
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Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method
... have exact closed–form solution and discovers existence of dual or triple solutions in some cases using a new hybrid method based on pseudo–spectral collocation in the sense of least square ...
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Nonlinear free vibration analysis of clamped circular Fiber Metal Laminated plate
... the nonlinear case, the driving force is the sum of vertical stresses and the vertical components of in-plane stresses, whereas the restoring force, which results from the mass of the system, does not change. That ...
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Blind image deconvolution using the Sylvester resultant matrix
... the exact image and the PSF, and this explains the term blind image deconvolution because the re- constructed image is computed by deconvolving the PSF, which may only be known partially, from the blurred image ...
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