From: Stan Devitt <jsdevitt@radicalflow.com>

Date: Mon, 10 Apr 2000 08:05:51 -0400

Message-ID: <004601bfa2e5$1dc4a3e0$6561a8c0@devitt.local>

To: <www-math@w3.org>

Date: Mon, 10 Apr 2000 08:05:51 -0400

Message-ID: <004601bfa2e5$1dc4a3e0$6561a8c0@devitt.local>

To: <www-math@w3.org>

While the "Big-Oh" notation is not explicitly included in the MathML content definitions, it is a good example of how the content definitions can be extended. 1) O-Notation, etc. Answer: O(x) could be written. <apply><csymbol definitionURL="CRCStandardMath_30" encoding="text">O</csymbol> <ci>x</ci> <apply> The csymbol allows the author to be precise about the definition, and the presentation. The xml content of the csymbol element is treated as a presentation mo element, or if needed, can be a full presentation expression. (2) How would you represent an expression like $\lfloor (n+1)/6\rfloor$ in content markup style? Answer: <apply><csymbol definitionURL="...">floor</csymbol> ...</apply> <apply><csymbol definitionURL="...">ceiling</csymbol> ...</apply> In general, where a new element requires a special presentation, this can be done by providing a suitable XSLT transformation, perhaps in conjunction with the semantics tag so that both the presentation and the meaning remain in the rendered document. (See chapter 5.) (3) How does one represent chains of inequalities in content markup? You list the equalities and inequalities as n-ary but what about chains that mix the two, e.g. (from some of my course notes) Answer: A content expression for a = b <= c is <apply><and/> <apply><eq/><ci>a</ci><ci>b</ci></apply> <apply><leq/><ci>b</ci><ci>c</ci></apply> </apply> This could be combined with a better presentation using a syntax element. The spec stops short of longer chains of relations unless they are homogeneous. The difficulty was in deciding how to handle the meaning of arbitrary chains. e.g. a < b != c, or a < b > c, as then spelling out the allowable content got complicated. A definition could be added as an extension using csymbol and an XSLT transformation. e.g. <apply> <csymbol definitionURL="...">relationchain</csymbol> <ci>a</ci><eq/><ci>b</ci><leq/><ci>c</ci> </apply>Received on Monday, 10 April 2000 09:03:22 GMT

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