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** = (*v*_{i})
**u** = (*u*_{i}) |

Matrix |
**upper case bold** |
**M** = (*m*_{ij})
**A** = (*a*_{ij}) |

Scalar-valued function |
**lower case normal** |
f(*x*) y(**x**) |

Vector-valued function |
**lower case bold** |
**f**(*x*) = (f_{i}(*x*))
**y**(**x**) = (y_{i}(**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 **x**_{k} represents a sequence of vectors, then the components
of the *k*th vector will be denoted by **x**_{k} = (*x*_{k; 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.