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Showing 1 to 15 of 15 for “"Laplace transformation"”.
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Probability theory on time scales and applications to finance and inequalities
… moment generating function is derived using a Laplace transformation on time scales. Various unifications of statements and new theorems in statistics are shown. Next, distributions on time scales are defined and their properties are studied. Most of the derived formulas and statements …
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Kinetic Analysis of High Affinity Polyclonal Anti-Fluorescyl Immunoglobulin-G Antibodies
… was derived. This procedure was based on Laplace transformation of the gamma distribution function, which yielded an exact rate law. Kinetic assays were developed for the measurement of both association and dissociation rates. Association rates were measured by following the increase in …
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In-plane vibrations of a transversely isotropic arch
… methods of solution are explored, namely the Laplace transformation, the method of particular solutions, and the eigensolution. The eigensolution is chosen as the the most efficient in terms of computer time and is the easiest to modify. The free vibration of the arch is explored and the …
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System Identification of a Cantilever Beam with Interferometer Measurement Using Adaptive Filters
… in a state-space form. By performing the Laplace transformation of the state-space form, we obtain the analytical transfer function of interferometer displacement versus actuator input, which is then validated numerically and experimentally. Adaptive filters based on FIR and IIR are …
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Diskretisierungsverfahren für Systeme von Konvektions-Diffusions-Dispersions-Reaktions-Gleichungen und Anwendungen
… Konvektions-Reaktions-Gleichung verwendet. Die Laplace-Transformation wird zur Herleitung der analytischen Lösung verwendet. Die analytische Masse wird dann über die Ränder des finiten Volumens verteilt und man erhält eine gekoppelte Lösung der Konvektions-Reaktions-Gleichung. Die …
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Analytische Lösung des gekoppelten Wärme- und Stofftransportproblems bei der Absorption im laminaren Rieselfilm
… den Energie- und Stofftransport mit Hilfe der Laplace-Transformation für die technisch typische thermische Randbedingung der diabaten Wand im komplexen Laplace-Bereich gelöst und zurück transformiert. Die so erhaltenen Lösungen werden verwendet, um am Beispiel wässriger Lithiumbromidlösung, …
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On the development of computer code for aircraft flight dynamics analysis
… of flight motion carried out by use of a Laplace transformation. The stability analysis of the aircraft carried out over four type aircraft. The first two type of aircraft belong to class of a propeller driven aircraft, while the rests are the turbojet aircraft type of aircraft. The …
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Transient electromagnetic scattering by a radially uniaxial dielectric sphere: Debye series, Mie series and ray tracing methods
… uniaxial sphere are evaluated using the inverse Laplace transformation of the generalized Mie series solution. Following high frequency scattering solution of a large uniaxial sphere, the Mie series summation is split into the high frequency (HF) and low frequency terms where the HF term is …
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Some Physical Applications of the Laplace Transform Operator
No abstract prepared.
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Inference for general random effects models
… approximation to the likelihood function using a Laplace expansion to the fourth order.
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Modeling, control and simulation of control-affine nonlinear systems with state-dependent transfer functions
… systems have no transfer functions. The Laplace transformation required to define transfer functions is not tractable mathematically when the coefficients of the differential equation are functions of state, output and control variables. In other words, it is not defined for systems that …
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Wellbore stability in water-sensitive shales
… chemo-poro-thermoelasticity were solved using Laplace transform and implemented in wellbore stability model to analyze the impacts of mud properties on the wellbore stability and optimize mud properties including mud weight, salinity and temperature to maintain wellbore stable. The results …
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Time-inhomogeneous Lévy processes in interest rate and credit risk models
In this thesis, we present interest rate models and a credit risk model, all driven <br>by time-inhomogeneous Lévy processes, i.e. stochastic processes whose increments <br>are independent but in general not stationary. <br> <br>In the interest rate part, we discuss a Heath-Jarrow-Morton forward …
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Closed form solution of the wave equation for piles
… toe was developed. The solution technique uses a Laplace transform of the semi-infinite pile problem for 0 < t < L/c (or for a time duration 0 < t < δ, where δ < L/c) and a Fourier series solution of the Sturm-Liouville problem thereafter. This solution is applied both to undamped and damped wave …
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Harmonic Sputtering Theory
… and solved them asymptotically by using Laplace Transformation for both isotropic term and anisotropic term. A pool of analytical asymptotic solutions has been given for both Lindhard power cross-section and our exact cross-section, such as slowing-down, recoil, scattering and collision …