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The mathematical foundation of post-quantum cryptography primarily relies on complex mathematical problems, such as the shortest vector problem (SVP) and closest vector problem (CVP) within lattice ...
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Jacobi, Gegenbauer, Chebyshev of first, second, third, fourth kind, Legendre, Laguerre, Hermite, shifted Chebyshev and Legendre polynomials using MATLAB. Rodrigues' formula. Orthogonal polynomials can ...
Abstract: We use polynomial approximation theory to perform data-driven analysis and control of linear, continuous-time invariant systems. We transform the continuous-time input trajectories and state ...
An efficient method of moments (MoM) based on polynomial chaos expansion (PCE) is applied to quickly calculate the electromagnetic scattering problems. The triangle basic functions are used to ...
Orthogonal polynomials in 3D, based on a tensor product construction of 1D orthogonal polynomials. The 1D polynomials are defined in terms of a three-term recurrence relation derived with Gram-Schmidt ...