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The fundamental solution for the coupled system of partial differential equations with variable coefficients is derived in a closed form by the hybrid usage of both an appropriate algebraic transformation for the displacement vector and the Radon transform.
This composite mapping consists of a nonlinear transfinite algebraic transformation and an elliptic transformation.
The algebraic transformation maps the computational space one-to-one onto a parameter space.
Through an algebraic transformation, the over-actuated setup is converted to a simplified single control-parameter problem.
The proposed method is a mix of two mathematical techniques: approximation by λ integral quasi-interpolating spline and linear algebraic transformation.
For domains and minimal surfaces, the composite mapping obeys a nonlinear elliptic Poisson system with control functions completely defined by the algebraic transformation.
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To transform a given trig equation into basic trig ones, use common algebraic transformations (factoring, common factor, polynomial identities...), definitions and properties of trig functions, and trig identities.
Their uncoupling involves use of algebraic transformations, which are in turn valid for certain restricted categories of non-homogeneous materials.
The chapter presents a number of axioms of algebraic transformations useful in the implementation of Pivot and Unpivot.
The control synthesis is based on algebraic transformations of the composite nonlinear controller obtained using the input output linearization (IOL) and internal model control (IMC) formalisms.
He and Nickel worked out the algebraic transformations, which they present in the March issue of the American Journal of Physics.
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CEO of Professional Science Editing for Scientists @ prosciediting.com