analytical expressions
The Analytical Expressions for Computing the Minimum Distance between a Point and a Torus
... the analytical expressions for computing the minimum distance between a point and a torus, which is called the orthogonal projection point ...the analytical expression for the orthogonal projection ...
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Analytical expressions of steady state concentrations of species in potentiometric and amperometric biosensor
... simple analytical expressions of concentrations of substrate and product ...The analytical expression of concentration of substrate, prod- uct and flux are summarized in Tables 5 and ...
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Analytical Expressions of Concentration of VOC and Oxygen in Steady State in Biofilteration Model
... Recently Zarook et al. [14] obtained the concentration of VOC and oxygen only for the limiting cases (zero- order kinetics and first-order kinetics) for monoid kinet- ics. However, to the best our knowledge, no ...
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Approximate Analytical Expressions for the Concentrations of Acetate and Methane in the Microbial Electrochemical Cell
... proximate analytical method to solve the non-linear differential equation that describes the diffu- sion coupled with acetate (substrate) consumption ...Simple analytical expressions for the ...
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Analytical expressions of the concentrations of substrate and product in enzyme inhibition process
... simple analytical ex- pressions of concentrations of the substrate and the prod- uct calculated using Homotopy perturbation ...dimensionless analytical expressions of concentration substrate S X ...
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Analytical Expressions of Concentrations inside the Cationic Glucose Sensitive Membrane
... general analytical expressions for the concentration of oxygen, glucose and gluconic acid inside the cationic glucose-sensitive membrane have been reported for all values of the parameters ...an ...
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Analytical expressions for the luminescence of dilute quaternary InAs(N,Sb) semiconductors
... The optical response of semiconductor materials can be obtained by self-consistent evaluation of Many body Nonequilibrium Green's Functions (NEGF), which have been successfully applied to intersubband [11,17,18] and ...
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Analytical expressions for the luminescence of dilute quaternary InAs(N,Sb) semiconductors
... medical diagnostics, atmospheric pollution monitoring, and free-space communication. The more complex band anticrossing model required to describe the band structure of InAs(N, Sb), where both conduction and valence can ...
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Analytical Expressions for Commensal-Host Ecological Model: Homotopy Perturbation Method
... The analytical solutions for the first order non-linear coupled differential equations are not possible directly because of intractability of non-linear ...
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Study of co-rotational Maxwell fluid in helical screw rheometer
... consideration: analytical expressions for the velocity components in the x- and z-directions, the resultant velocity in the direction of the screw axis, volume flow rates, shear and normal stresses, shear at ...
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DISPLACEMENT AND STRESS FIELDS IN A POROELASTIC HALF-SPACE DUE TO A CONCENTRATED FORCE
... closed-form analytical expressions for the displacements and stresses due to a concentrated force acting at an arbitrary point of a poroelastic half-space using Galerkin vector ...
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Light Scattering by a Prism and Pyramid in the Rayleigh-Gans-Debye Approximation
... There have been some attempts to apply the RGD ap- proximation to a particle of completely arbitrary shape and size, none of these has been truly satisfactory [12, 13], be- cause of it leads us to a numerical solution by ...
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Analysis of non linear reaction diffusion processes with Michaelis Menten kinetics by a new Homotopy perturbation method
... Finally Bassom et al. [1] mention that modern experi- ments in both biology and medicine use tissue slices to simulate hypoxia, that is a situation in which the tissue exhibits low oxygen consumption. Bassom et al. [1] ...
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Design and Analysis of Double Tail Comparator using Adiabatic Logic
... Samaneh Babayan-Mashhadi [1] proposed the delay analysis and analytical expressions for dynamic double tail comparator. The structure of the conventional dynamic comparator and [r] ...
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Reflection of Water Waves by a Curved Wall
... Analytical expressions representing the first order corrections to the reflection coefficient and velocity potential have been obtained in this paper, for the reflection of surface water waves incident on a ...
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Development of Rotational Fixity Factors for Vibration Design of Cross-Laminated Timber Floors
... Abstract: As an emerging building solution, cross-laminated timber (CLT) floors have been increasingly used in mass timber construction. The current vibration design of CLT floors is conservative due to the assumption of ...
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Viscous effects on the attenuation of a plane wave by an acoustic lining in shear flow
... with analytical expressions for the reflection coefficients obtained using the Myers boundary condition (Ingard, 1959, Myers, 1980) and its various first order corrections (Rienstra and Darau, 2011, ...
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Electromagnetic nature of the nuclear forces and toroid structure of the deuteron and triton
... find analytical expressions for the magnetic moments, to determine the angular velocity of nucleons, the linear velocity at parti- cular points on their surface, ...
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Brownian Motion in Parabolic Space
... yt –0.5 , zt –0.5 ), the present study reveals that the F-equation becomes an ellipse type Poisson equation and furthermore the elegant analytical solutions are possible. Applying the new system to one-dimension ...
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Vol 4, No 11 (2013)
... general, analytical solutions of non-linear differential equations are more important and very useful than purely numerical solutions, as they are amenable to various kinds of data manipulation and ...the ...
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