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Closed-form solution of absolute orientation using unit quaternions

by Berthold K. P. Horn - J. Opt. Soc. Am. A , 1987
"... Finding the relationship between two coordinate systems using pairs of measurements of the coordinates of a number of points in both systems is a classic photogrammetric task. It finds applications in stereophotogrammetry and in robotics. I present here a closed-form solution to the least-squares pr ..."
Abstract - Cited by 989 (4 self) - Add to MetaCart
Finding the relationship between two coordinate systems using pairs of measurements of the coordinates of a number of points in both systems is a classic photogrammetric task. It finds applications in stereophotogrammetry and in robotics. I present here a closed-form solution to the least

A closed-form solution for options with stochastic volatility with applications to bond and currency options

by Steven L. Heston - Review of Financial Studies , 1993
"... I use a new technique to derive a closed-form solution for the price of a European call option on an asset with stochastic volatility. The model allows arbitrary correlation between volatility and spotasset returns. I introduce stochastic interest rates and show how to apply the model to bond option ..."
Abstract - Cited by 1512 (6 self) - Add to MetaCart
I use a new technique to derive a closed-form solution for the price of a European call option on an asset with stochastic volatility. The model allows arbitrary correlation between volatility and spotasset returns. I introduce stochastic interest rates and show how to apply the model to bond

Closed-form

by Javier Peña, Juan C. Vera, Luis F. Zuluaga , 2008
"... solutions to static-arbitrage upper bounds on basket options ..."
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solutions to static-arbitrage upper bounds on basket options

Closed-form

by David Morales-jiménez, José F. Paris, Kai-kit Wong
"... analysis of multibranch switched diversity with noncoherent and differentially coherent detection ..."
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analysis of multibranch switched diversity with noncoherent and differentially coherent detection

Closed-form

by unknown authors
"... thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells ..."
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thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells

closed-form

by Minqiang Li
"... damped diffusion framework for financial modeling and ..."
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damped diffusion framework for financial modeling and

Closed-form

by unknown authors
"... thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells ..."
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thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells

CLOSED-FORM TRAJECTORIES OF THE UNICYCLE.

by Andrés García, Osvaldo Agamennoni, José Figueroa , 906
"... Abstract. This paper presents a methodology to stabilize some kind of Nonlinear Control system known as Driftless, utilizing the concept of Pseudo-Kinetic Energy introduced in this work. Once this controller is applied to the Unicycle-type robot, stability is guaranteed with the salient property tha ..."
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that the structure of the controller allows to solve in closed-form the trajectories of the vehicle. While the proposed controller only ensures stability (not asymptotic stability) the obtained closed-form solutions will show a path to obtain in closed form the solutions for the general control problem

Closed-form results

by C. K. Au , 2008
"... A simple closed form expression is obtained for the scattering phase shift perturbatively to any given order in effective one-dimensional problems. The result is a hierarchical scheme, expressible in quadratures, requiring only knowledge of the zeroth order solution and the perturbation potential. ..."
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A simple closed form expression is obtained for the scattering phase shift perturbatively to any given order in effective one-dimensional problems. The result is a hierarchical scheme, expressible in quadratures, requiring only knowledge of the zeroth order solution and the perturbation potential.

CLOSED FORM OF PH-DISTRIBUTION

by Yasuhito Kishi, Issei Kino , 2005
"... Abstract In this paper a new approach of Jordan canonical formulation for analysis of a PH-subgenerator is proposed. Based on the new method, this paper shows that if all eigenvalues of a PH-subgenerator are real then the closed form of the PH-distribution is a linear combination of Erlang distribut ..."
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Abstract In this paper a new approach of Jordan canonical formulation for analysis of a PH-subgenerator is proposed. Based on the new method, this paper shows that if all eigenvalues of a PH-subgenerator are real then the closed form of the PH-distribution is a linear combination of Erlang
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