Mathematics for Machine Learning - Assets

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2.8 AfÞne Spaces 48 2.9 Further Reading 50 Exercises 51 3 Analytic Geometry 57 3.1 Norms 58 3.2 Inner Products 59 3.3 Lengths and Distances 61 3.4 Angles and Orthogonality 63 3.5 Orthonormal Basis 65 3.6 Orthogonal Complement 65 3.7 Inner Product of Functions 66 3.8 Orthogonal Projections 67 3.9 Rotations 76 3.10 Further Reading 79 Exercises 80 v

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