state and prove orthogonal properties of legendre polynomials.
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In geometry, two Euclidean vectors are orthogonal if they are perpendicular, i.e., they form a right angle. Two vectors, x and y, in an inner product space, V, are orthogonal if their inner product is zero. ... Two sets S′ ⊆ M∗ and S ⊆ M are orthogonal if each element of S′ is orthogonal to each element of S
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