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Related lectures (31)
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Approximation of Data
Covers the least squares method for approximating data and handling errors.
Signal Reconstruction: Sampling Theorem 2
Explores signal reconstruction techniques, including polynomial interpolation challenges and the importance of interpolation functions.
Piecewise Linear Interpolation
Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.
Interpolation of Lagrange: Dualité and Coupling
Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.
Trajectory Generation: Basics and Profiles
Explores trajectory generation in robot control, covering spatial aspects, interpolation methods, velocity profiles, and multi-connected points.
Newton Interpolation: Basics
Covers the basics of Newton interpolation and interpolation polynomials using Lagrange and Newton methods.
Polynomial Interpolation: Optimizing Error
Covers the optimization of error in polynomial interpolation, focusing on minimizing the error by strategically placing interpolation points.
Uniqueness of Interpolation Polynomials
Explores the uniqueness of interpolation polynomials and the role of distinct data points in the interpolation process.
Numerical integration: continued
Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.
Polynomial Interpolation: Lagrange Method
Covers the Lagrange polynomial interpolation method and error analysis in function approximation.