Vector Spaces
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Continuous Functions
Equations are omitted for technical reasons - download the original pdf
The set of continuous functions of the interval [Equation goes here - download the original to see it.] is also a vector space, with addition defined by [Equation goes here - download the original to see it.] and scalar multiplication defined by [Equation goes here - download the original to see it.]
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Contents of Vector Spaces
1 Vector Spaces 2 Linear polynomials 3 Complex numbers 4 Quadratic polynomials 5 Continuous Functions 6 Infinite sequences 7 Vector space axioms 8 Properties of vector spaces 9 Subspaces of vector spaces 10 Basis and dimension 11 Span 12 Theorem (Vector spaces) 13 Vectors, dimension and bases
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