Constructing the Legendre polynomials, which are an orthonormal basis for the set of polynomials. Example of Gram-Schmidt to inner product spaces.
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Legendre polynomials
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linear algebramathpeyamdr peyammatrixorthogonalityorthogonallegendrelegendre polynomialpolynomialbasis of polynomialgram-schmidtinner productinner product spaceabstract spaceabstract dot productgram schmidt on functionsintegralnormalizeprojectionintegral fgcalculusoddevenhilbert spacehilbertconstruct legendreconstructing legendre