Numerical method 1 min read
The Discrete Fourier Series (Dfs)
The subject of discrete Fourier series (DFS) and its relationship to the complex Fourier series expansion is often deferred to…
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Inner Products and Inner Product Spaces
The concept of an inner product is necessary before one can talk about orthogonal bases for vector spaces. Recall from…
Numerical method 1 min read
Norms and Normed Spaces
So far our examples of function spaces have been metric spaces (Section 1.3.1). Such spaces are not necessarily associated with…
Numerical method 3 min read
Some Special Mappings: Metrics, Norms, And Inner Products
Sets of objects (vectors, sequences, polynomials, functions, etc.) often have certain special mappings defined on them that turn these sets…
Numerical method 4 min read
Functional Analysis Ideas
Introduction Many engineering analysis and design problems are far too complex to be solved without the aid of computers. However,…