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Lambert W function

A Note on the Use of Step Responses Matrix and Lambert W Function in the Dynamics Analysis of Time Delay Systems

A Note on the Use of Step Responses Matrix and Lambert W Function in the Dynamics Analysis of Time Delay Systems

... For investigation of the dynamics of linear time-delay system, we propose to use the step responses matrix of the system and apply the Lambert W function method. The elements of this matrix in the ...

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Simplifying the Analysis of Enzyme Kinetics of Cytochrome c Oxidase by the Lambert W Function

Simplifying the Analysis of Enzyme Kinetics of Cytochrome c Oxidase by the Lambert W Function

... rmed Lambert-W function can be adopted to analyze reversible enzymatic reactions [21,22], as well as to en- zyme kinetics of multiple alternative substrates ...

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The Single Diode Model of I-V and P-V Characteristics using the Lambert W Function

The Single Diode Model of I-V and P-V Characteristics using the Lambert W Function

... The performance of PV module characteristics using the Lambert W Function operated under different irradiance and different temperature condition. The power produced by a PV module depends on ...

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Solutions for Series of Exponential Equations in Terms of Lambert W Function and Fundamental Constants

Solutions for Series of Exponential Equations in Terms of Lambert W Function and Fundamental Constants

... [7] Scott, T.C., Mann, R. and Martinez Ii, R.E. (2006) General Relativity and Quantum Mechanics: Towards a Generalization of the Lambert W Function A Generalization of the Lambert W ...

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On the Lambert W function for constrained resource allocation in cooperative networks

On the Lambert W function for constrained resource allocation in cooperative networks

... bert-W function in the context of resource allocation for cooperative ...the Lambert-W func- tion, resource allocations can not only be expressed in closed-form but they can also quickly be ...

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Solving Of Third Order Retarded Dynamical System via Lambert W Function and Stability Analysis

Solving Of Third Order Retarded Dynamical System via Lambert W Function and Stability Analysis

... the Lambert W function to obtain analytical solutions of delay differential equations (see, [8], [3], and ...the Lambert W function are defined in the following series [3] ...

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Numerical Analysis of an Industrial Polycrystalline Silicon Photovoltaic Module Based on the Single Diode Model Using Lambert W Function

Numerical Analysis of an Industrial Polycrystalline Silicon Photovoltaic Module Based on the Single Diode Model Using Lambert W Function

... It is adopted the single-diode solar cell model and extended for a PV module. The current vs. voltage (I-V) characteristic based on the Lambert W-function was used. The estimation parameters for the ...

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A Brief Look into the Lambert W Function

A Brief Look into the Lambert W Function

... The Lambert W function, named after Johann Heinrich Lambert [1], is a standard function in both Mathematica, where it’s called Product Log   x , and in Maple, where you can use both ...

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Approximation of the Lambert W Function and Hyperpower Function

Approximation of the Lambert W Function and Hyperpower Function

... For the right hand side, we define f (z) = z − log z with 1 e ≤ z ≤ e. Easily we see that 1 ≤ f (z) ≤ e − 1; in fact it takes its minimum value 1 at z = 1. Also, consider the function g(t) = log t − t + λ for 1 ≤ ...

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PID Stabilization of Linear Neutral Time Delay Systems in a Numerical Approach

PID Stabilization of Linear Neutral Time Delay Systems in a Numerical Approach

... on Lambert W function is used for the calculation of these stabilizing roots directly from the closed-loop characteristic equation of the neutral time-delay system and then stability is checked by ...

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Received signal strength indication based distance measurement using lambert function for underwater wireless sensor network localization

Received signal strength indication based distance measurement using lambert function for underwater wireless sensor network localization

... The main goal of this research is to develop an efficient underwater localization scheme for determining the location of a sensor in deep water. The designed localization scheme is based on Received Signal Strength ...

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The Use of the Lambert Function Method for Analysis of a Control System with Delays

The Use of the Lambert Function Method for Analysis of a Control System with Delays

... The step response h 11 ( κ t ) of mutual synchronization system with a complete graph structure, computed by Lambert W function method with different values of N and by the exact method of consequent ...

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On the stability of the exact solutions of the dual phase lagging model of heat conduction

On the stability of the exact solutions of the dual phase lagging model of heat conduction

... bounded domain has been obtained and analyzed. According to the principle of causality, it has been shown that the temperature gradient must precede the heat flux. In addition, based on the properties of the ...

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Solutions of the Exponential Equation yx/y = x or lnx/x = lny/y and Fine Structure  Constant

Solutions of the Exponential Equation yx/y = x or lnx/x = lny/y and Fine Structure Constant

... [8] Scott, T.C., Mann, R. and Martinez II, R.E. (2006) General Relativity and Quantum Mechanics: Towards a Generalization of the Lambert W Function. A Generalization of the Lambert W ...

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Analytic Approximations of Projectile Motion with Quadratic Air Resistance

Analytic Approximations of Projectile Motion with Quadratic Air Resistance

... velocity w; high-angle trajectory where w  u ; and split-angle trajectory where w  u ...the Lambert W ...the Lambert W ...

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Recent heavy ion results from the ATLAS experiment

Recent heavy ion results from the ATLAS experiment

... ATLAS has also studied production of prompt photons produced in Pb+Pb collisions [17]. Prompt photons have two primary sources: direct emission via quark-gluon Compton scattering or quark- antiquark annihilation, or in ...

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Measurement of the leptonic angular distribution in W-boson decay as a function of the W transverse-momentum using the CDF detector at the Tevatron

Measurement of the leptonic angular distribution in W-boson decay as a function of the W transverse-momentum using the CDF detector at the Tevatron

... (using W -electrons and low-energy electrons) is flat as a function of tim e and ...agree w ith th e M onte Carlo sim ulation as a function^ of ...ined w ith th e Z m ass [21], and ...

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The search for postglacial rebound near the Lambert Glacier, Antarctica

The search for postglacial rebound near the Lambert Glacier, Antarctica

... A GPS network has been installed to monitor vertical crustal movement in the Lambert Glacier region, East Antarctica. The program commenced in January 1998 with a solar-powered GPS system installed at Beaver Lake. ...

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Differences in the epidemiology of invasive pneumococcal disease, metropolitan NSW, 1997-2001

Differences in the epidemiology of invasive pneumococcal disease, metropolitan NSW, 1997-2001

... de Lambert (Dr de Lambert, Mr Steven Hodges), Douglas Hanly Moir (Dr Ian Chambers, Mr Richard Jones), Gosford Hospital (Mr Bruce Beaman), Hampson’s Pathology (Mr Paul Handsaker), Hunter Area Pathology ...

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Mesoscale modelling of the Antarctic katabatic wind over the Lambert Basin

Mesoscale modelling of the Antarctic katabatic wind over the Lambert Basin

... Mawson station is a site of strong and frequent winds because the structure of the boundary layer is such that it varies between summer and winter, and allows production of strong surfac[r] ...

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