They can appear with in the tags listed in table Places of Mathematical Formulas

tag | description | see |

f | inline formula | The Formula Tag |

dm | displayed formula | Mathematical Paragraph |

eq | equation | Mathematical Paragraph |

If you view this document mapped to html you will notice that html has no nice way of displaying mathematical formulas.

After a little hand parsing the contents of a *mathematical* tag looks like:

<!element xx - - (((fr|lim|ar|root) | (pr|in|sum) | (#pcdata|mc|(tu|phr)) | (rf|v|fi) | (unl|ovl|sup|inf))*)>

The

`xx`

stands for `f`

, `dm`

or `eq`

. All of them are the same.

**Note:**Because neither Netscape nor Microsoft has seen any need to add mathematical mappings to their browsers (like demanded and defined by

*w3c*), there is no nice way of mapping, or at least displaying the math stuff in html. So if you view the online version, feel free to wonder what nonsense this man is telling here. Might be you should take a glance at the postscript version.

<!element fr - - (nu,de) > <!element nu o o ((%fbutxt;)*) > <!element de o o ((%fbutxt;)*) >

So what we see from it is, that a *fraction* consits of a *numerator*
and a *denumerator* tag, wich again each one can hold a
*mathematical formula*.

I think an example will tell you more:

<dm><fr><nu/7/<de/13/</fr></dm>

results to:

In case we want to to place 1/2 instead of the numerator without cleaning it up, we'll type:

<dm><fr><nu><fr><nu/1/<de/2/</fr></nu><de/13/</fr></dm>

Which results to:

<!element pr - - (ll,ul,opd?) > <!element in - - (ll,ul,opd?) > <!element sum - - (ll,ul,opd?) >

Each of them has a *lower limit* (`ll`

tag),
a *upper limit* (`ul`

tag) and a optional *operand*,
where each of them again may consist of a formula.
The tags are same in syntax like shown in table
Tags with upper-, lower limit and operator.

<!element lim - - (op,ll,ul,opd?) > <!element op o o (%fcstxt;|rf|%fph;) -(tu) > <!element ll o o ((%fbutxt;)*) > <!element ul o o ((%fbutxt;)*) > <!element opd - o ((%fbutxt;)*) >

You can use that one for operators with upper and lower limits other than
products, sums or integrals. The for the other types defined *operator* is
destinied by the `op`

tag, wich can contain again a mathematical formula.

- n

<!element ar - - (row, (arr, row)*) > <!attlist ar ca cdata #required > <!element arr - o empty > <!element arc - o empty > <!entity arr "<arr>" > <!entity arc "<arc>" >

Of course a reasonable mathematical document needs a way to describe arrays and matrices. The

`ar`

) is noted down equivalent to a - No
`<hline>`

tag. - The
`ca`

attribute character`|`

is not allowd. - Columns are not separated by
`colsep`

tag but with the`arc`

tag (*array collumn*). - Rows are not separated by
`rowsep`

tag but with the`arr`

tag (*array row*).

`|`

and `@`

are mapped to the adequate separator
tag, so you really can note a array same way as a tabular.

<dm><ar ca="clcr"> a+b+c | uv <arc> x-y | 27 @ a+b | u+v | z | 134 <arr> a | 3u+vw | xyz | 2,978 </ar></dm>

Is mapped to:

<!element root - - ((%fbutxt;)*) > <!attlist root n cdata "">

The

`root`

tag, wich contains a `n`

attribute, holding the value for the "n'th" root.

<dm><root n="3"/x+y/</dm>

is mapped to:

<!element fi - o (#pcdata) >

With the figure tag you can place mathematical figures. The tagged characters are directly mapped to a mathematical figure. Which character is mapped to which figure you'll find in Mathematical Figures.

<!element rf - o (#pcdata) >

This tag is placing a real font within a mathematical formula.

`I'm really not sure about ``rf`

. What should it be?

No formula is allowed within that tag.

<dm><rf/Binom:/ (a+b)<sup/2/=a<sup/2/+2ab+b<sup/2/</dm>

is mapped to:

^{2}=a^{2}+2ab+b^{2}

The remaining tags simply modify the tagged formula, without implying any other tag. The effect is shown in table Mathematical tags without included tags

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