Bruce claimed that it was not possible in an operator precedence parser to (cleanly) have subscripted operators, or more generally, embellished operators. This is not true, and I can offer the typesetting system in Mathematica as a counter-example. I talked to Bruce over the phone to explain how this is done (it requires extra work), and he agrees that it is possible. The one piece of information that you need is whether an operator is a 2-d structure creating operator or not. For example, in Mathematica's typesetting syntax, a + b n is represented as "a + \_ n b", where \_ is the subscript operator. 2-d structure creating operators do their 'error correction' operations differently than regular "linear" syntax. Mathematica's typesetting syntax has the following 2-d operators: a \/ b fraction a \^ b superscript a \_ b subscript a \_ b \% c sup and superscript a \+ b underscript (lower limit) a \& b overscript (upper limit) a \+ b \% c underscript (lower and upper limit) \@ a square root \@ a \% b 'b'th root of 'a' The 2-d operators are escaped so that the characters '/', '^', etc., all simply represent themselves. "a \_ b \% c" is used instead of "a \_ b \^ c" because the later would mean (a \_ b) \^ c (the superscript would be to the right of the subscript instead of over it). An embellished operator has the same precedence as an unembellished operator (as Ron Whitney pointed out in his mail). Since human readability and writeable seems to be of high importance to this group, and since '^' and '_' will be much less frequently used in HTML than in Mathematica, I think switching the '^' and '\^' (etc) makes sense for HTML math. Ie, let '^' be the superscript operator and let '\^' stand for the character '^'. Given this, expressions such as y = ∫ _ 0 % 1 sin^2(x) ⅆ x are parseable. To me, this notation is fairly clean and has, I think all of the properties that we are looking for in HTML math's notation. Opinions? NeilReceived on Sunday, 28 April 1996 01:27:53 UTC
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