# OR-Notes

OR-Notes are a series of introductory notes on topics that fall under
the broad heading of the field of operations research (OR). They were originally
used by me in an introductory OR course I give at Imperial College. They
are now available for use by any students and teachers interested in OR
subject to the following conditions.

A full list of the topics available in OR-Notes can be found here.

#### Mathematical notation

When constructing OR-Notes I have tried to ensure that mathematical
notation is kept to a minimum and also that most Web browsers should be
able to view OR-Notes correctly.

However because of the current limitations of html (the language interpreted
by your Web browser into readable text) I have adopted the following notation:

- <= should be read as "less than or equal to"
- >= should be read as "greater than or equal to"
- SUM[i=1 to n] should be read as "sum over all integer values of
i from 1 to n inclusive"
- INFINITY is used instead of an infinity sign
- PI is used instead of a pi symbol

Subscripts and superscripts should be displayed correctly by the latest
versions of Netscape and Internet
Explorer browsers. To check your browser:

- x
_{1} should be "x subscript 1"
- x
^{1} should be "x superscript 1"

The pound sterling sign should be displayed correctly by the latest
versions of Netscape and Internet
Explorer browsers. To check your browser:

- £ should be "the pound sterling sign"

If the above subscript, superscript and pound sterling sign are not displayed
correctly then I suggest that you upgrade your browser. If this is not
possible then:

- save the OR-Notes files you are interested in on your own computer
- use your favourite word processor to edit these files
- for subscripts:
- change <sub> and <SUB> to {
- change </sub> and </SUB> to }
- this will ensure all subscripts are denoted by {} e.g. x subscript
i becomes x{i}

- for superscripts:
- change <sup> and <SUP> to ^{
- change </sup> and </SUP> to }
- change ² to ^{2}
- change ³ to ^{3}
- this will ensure all superscripts are denoted by ^{} e.g. x superscript
i becomes x^{i}

- for the pound sterling sign:
- change £ to £ or to $ if you prefer to change currency;
- this will ensure that all pound sterling signs in the text appear correctly

- save the edited files as DOS ASCII text files
- now use your Web browser to view these files