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Conventions

All mathematical statements should be displayed using the serifed Times New Roman font. Plain text is displayed using the sans serif Arial font. The following conventions are used for functions and variables:

Object Type Face Examples
Scalar (real or complex) lower-clase italics x, t
Vector lower case bold v = (vi)
u = (ui)
Matrix upper case bold M = (mij)
A = (aij)
Scalar-valued function lower case normal f(x)
y(x)
Vector-valued function lower case bold f(x) = (fi(x))
y(x) = (yi(x))
Matrix-valued function upper case bold J(f)

A function which takes a vector as an argument but returns a scalar would be denoted by f(x) while a function which takes a scalar as an argument but returns a vector would be denoted by f(x).

If xk represents a sequence of vectors, then the components of the kth vector will be denoted by xk = (xk; i).

The bold-face upright characters R and C represent the set of real and complex numbers.

Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.