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Most users will not have to read the technicalities on this page. The choice of grouping parenthesis is up to you they don't have to match either. If the displayed expression can be parsed uniquely without them, they are omitted. Printing the table of constant symbols below may be helpful but is not necessary if you know the LaTeX equivalents. It is hoped that this simple input format for MathML will further encourage its use on the web.

The expressions described here correspond to a wellspecified subset of Presentation MathML and behave in a predictable way. The syntax is very permissive and does not generate syntax errors. This allows mathematically incorrect expressions to be displayed, which is important for teaching purposes. It also causes less frustration when previewing formulas.

The parser uses no operator precedence and only respects the grouping brackets, subscripts, superscript, fractions and square roots. This is done for reasons of efficiency and generality. The resulting MathML code can quite easily be processed further to ensure additional syntactic requirements of any particular application.

In the Backus-Naur form given below, the letter on the left of the:: The vertical bar separates the alternatives. Each terminal symbol is translated into a corresponding MathML node. The constants are mostly converted to their respective Unicode symbols. The other expressions are converted as follows: A simple syntax for matrices is also recognized: Here l and r stand for any of the left and right brackets just like in the grammar they do not have to match.

Note that each row must have the same number of expressions, and there should be at least two rows. The input formula is broken into tokens using a "longest matching initial substring search". Suppose the input formula has been processed from left to right up to a fixed position. The longest string from the list of constants given below that matches the initial part of the remainder of the formula is the next token. If there is no matching string, then the first character of the remainder is the next token.

For single character tokens, letters are treated as math identifiers, and non-alphanumeric characters are treated as math operators. For digits, see "Numbers" below. Spaces are significant when they separate characters and thus prevent a certain string of characters from matching one of the constants. Multiple spaces and end-of-line characters are equivalent to a single space.

A string of digits, optionally preceded by a minus sign, and optionally followed by a decimal point a period and another string of digits, is parsed as a single token and converted to a MathML number, i.

If it is not desirable to have a preceding minus sign be part of the number, a space should be inserted. This could be compared to the LaTeX macro files that many users have developed over the years. Peter Jipsen , Chapman University , September Logical symbols Type See and.

Miscellaneous symbols Type See int. Standard functions Type See sin.