From: <RobertM@dessci.com>

Date: Fri, 6 May 2005 14:15:53 -0500

Message-Id: <200505061915.j46JFrs04686@intuition.geomtech.com>

To: www-math@w3.org

Cc: siegrist@math.uah.edu

Date: Fri, 6 May 2005 14:15:53 -0500

Message-Id: <200505061915.j46JFrs04686@intuition.geomtech.com>

To: www-math@w3.org

Cc: siegrist@math.uah.edu

Hello All. Kyle Siegrist, who created the Virtual Laboratories in Probability and Statistics web site <http://www.math.uah.edu/stat/>, recently suggested the following extensions to me, as good candidates for a MathML 3 update. Prof. Siegrist writes: "Here is what I would love to see added to Content MathML: 1. Binomial coefficient 2. Permutation coefficient: n(n -1)...(n - k + 1), usually rendered P(n, k) or nPk or (n)k. 3. A probability operator with an optional "given" construction (for conditional probability). Typical rendering would be P(A, B, ...) (without conditioning) or P(A, B, ... | C, D, ...) (with conditioning). 4. An expected value operator with an optional "given" construction (for conditional expected value). Typical rendering would be E(A, B, ...) (without conditioning) or E(A, B, ... | C, D, ...) (with conditioning). 5. General union, to form the union of Ai over i = a to b, or the union of Ai where i is in an index set I. This would work just like the sum construction, with a bound variable and with lower and upper limits, or with a bound variable and with a condition. 6. Exactly like 5, but with intersection. If I had these extensions, I think that I could do just about everything that I wanted without going over to Presentation MathML. Items 3 and 4 (with the "given" construction) are really important in probability, statistics, and stochastic processes; conditional probability and expected value are central notions. Ordinary probability and expected value can be done with the usual function ("apply") construction, but there is no way to do the conditioning without adding Presentation MathML as a kludge. I am really surprised that items 5 and 6 are not already present; they seem very natural and necessary for lots of areas of math." Anyone want to second these proposals? Or take issue with them? --Robert ------------------------------------------------------------------ Dr. Robert Miner RobertM@dessci.com W3C Math Interest Group co-chair 651-223-2883 Design Science, Inc. "How Science Communicates" www.dessci.com ------------------------------------------------------------------Received on Friday, 6 May 2005 19:16:01 GMT

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