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Lecture
Interpolation of Lagrange: Dualité and Coupling
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Linear Algebra: Quadratic Forms and Matrix Diagonalization
Discusses quadratic forms, matrix diagonalization, and their applications in optimization problems.
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Trigonometric Interpolation: Approximation of Periodic Functions and Signals
Explores trigonometric interpolation for approximating periodic functions and signals using equally spaced nodes.
Polynomial Interpolation: Lagrange Method
Covers the Lagrange polynomial interpolation method and error analysis in function approximation.
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Covers the Newton method for finding zeros of functions using data interpolation.
Lagrange Interpolation: Case 2
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Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.
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Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.
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Covers Lagrange interpolation using intervals to find accurate polynomial approximations.