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Intersection problems are fundamental in computational geometry, geometric modeling and design and manufacturing applications, and can be reduced to solving polynomial systems.
Owing to a Feynman-Kač type formula, pricing this option can be reduced to solving the Cauchy problem (with terminal condition) for a second-order linear parabolic PDE of nondivergent type, with null term and unbounded coefficients, degenerating in the space variables (see, e.g., [1]).
This problem can be reduced to solving systems of linear equations (Lacroix et al., 2008).
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This can be reduced to solve the Cauchy problem for (1.2) with the initial data t=0: x=x_{0}(theta_{1},ldots, theta_{n}).
Subsequently, the cases where 12 are reduced to solving the Eqs.
Observer design is reduced to solving linear matrix inequalities for the observer gain matrices.
The branched crack problem is reduced to solving three singular integral equations.
Using this method, the system of fractional partial differential equations has been reduced to solving a system of algebraic equations.
Fourier and Laplace transforms are applied and the thermal and mechanical problems are reduced to solving singular integral equations.
In a symplectic space, the critical torsion and buckling mode are reduced to solving the symplectic eigenvalue and eigensolution, respectively.
The paper presents an observer design procedure that is reduced to solving a set of linear matrix inequalities.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com