This course gives a thorough introduction to linear algebra with emphasis on vector spaces, linear maps, spectral theory, orthogonality and applications of this theory. MATLAB is used for ...

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Equidistribution in homogeneous spaces is a significant area of study in number theory and dynamical systems. It involves understanding how certain mathematical objects, such as points or measures ...

Matrices, algebra of matrices ... equation by the method of separation of variables, solution of a homogeneous and linear differential equation (of the type as mentioned in the pdf below).

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Sutskever also mentioned test-time compute as one possible solution to the peak-data problem during his Neurips talk in early December. Test time for test-time compute 2025 will see this approach ...

Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable ...

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algebra of complex numbers, modulus and argument (or amplitude) of a complex number, Quadratic equations in real and complex number systems and their solutions; Relations between roots and ...