Orthogonal functions

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Revision as of 17:30, 13 September 2004 by 172.17.69.1 (talk) (This article shows how to view functions as vectors.)
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Introduction

In this article we will examine another viewpoint for functions than that traditionally taken. Normally we think of a function, f(t), as a complicated entity in a f(), in a simple environment (one dimension). Now we want to think of a function as a vector or point (a simple thing) in a very complicated environment (possibly an infinite dimensional space).

Vectors

Notation

Independent and Dependent Variables

Basis Functions

Changing Basis Sets

Functions and Vectors, an Analogy