###
*Problem* *formulation*

"... � Solution to many practical problems is defined by the satisfaction an overconstrained system of (possibly nonlinear) equations. � Even if the equations are linear, the number of variables involved is usually too high for one to apply a naïve solution such as least square. � Relaxation is the appro ..."

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� Solution to many practical

*problems*is defined by the satisfaction an overconstrained system of (possibly nonlinear) equations. � Even if the equations are linear, the number of variables involved is usually too high for one to apply a naïve solution such as least square. � Relaxation###
*Problem* *Formulation*

"... – Correspondences between a reference and input image. – No a priori pose information. • Output: – A mapping F from model to input image. ..."

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– Correspondences between a reference and input image. – No a priori pose information. • Output: – A mapping F from model to input image.

###
*Problem* *Formulation*

"... We present a method to determine optimal solutions to geometric correspondence problems. Using pair-wise constraints in combination with graph methods we show how to efficiently find optimal correspon-dences.- Handles large rates of outliers.- Competetive run times. ..."

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We present a method to determine optimal solutions to geometric correspondence

*problems*. Using pair-wise constraints in combination with graph methods we show how to efficiently find optimal correspon-dences.- Handles large rates of outliers.- Competetive run times.###
*Problem* *formulation*

"... The problem of selecting a consistent initial guess for the full waveform to-mography of a semi-infinite elastic solid is considered in the framework ..."

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The

*problem*of selecting a consistent initial guess for the full waveform to-mography of a semi-infinite elastic solid is considered in the framework###
*Problem* *Formulation* and

"... This PDF document was made available from www.rand.org as a public service of the RAND Corporation. Jump down to document6 INTERNATIONAL AFFAIRS ..."

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This PDF document was made available from www.rand.org as a public service of the RAND Corporation. Jump down to document6 INTERNATIONAL AFFAIRS

###
*Problem* *Formulation*

"... zed by an ordinary differential equation: x(t) = f(x(t); u(t); d(t)) x(0) = x 0 u(t) 2 U d(t) 2 D (1) To prevent technical problems, we introduce the following assumption: Assumption 1 f is Lipschitz continuous in x and continuous in u and d. u and d are piecewise continuous as functions of tim ..."

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zed by an ordinary differential equation: x(t) = f(x(t); u(t); d(t)) x(0) = x 0 u(t) 2 U d(t) 2 D (1) To prevent technical

*problems*, we introduce the following assumption: Assumption 1 f is Lipschitz continuous in x and continuous in u and d. u and d are piecewise continuous as functions###
*Problem* *Formulation*

, 2013

"... • Whether a new product meets its BOM cost target and can deliver an acceptable financial contribution is often down to chance and subject to an element of manipulation. • To mitigate this problem we develop and demonstrate a theoretical method to notionally hedge and thereby value the stochastic pr ..."

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• Whether a new product meets its BOM cost target and can deliver an acceptable financial contribution is often down to chance and subject to an element of manipulation. • To mitigate this

*problem*we develop and demonstrate a theoretical method to notionally hedge and thereby value the stochastic