From: Robert Miner <RobertM@dessci.com>

Date: Tue, 24 Apr 2001 10:09:23 -0500

Message-Id: <200104241509.KAA25644@wisdom.geomtech.com>

To: habelg@micro-intel.com

CC: www-math@w3.org, www-math@w3.org

Date: Tue, 24 Apr 2001 10:09:23 -0500

Message-Id: <200104241509.KAA25644@wisdom.geomtech.com>

To: habelg@micro-intel.com

CC: www-math@w3.org, www-math@w3.org

Dear Genevieve, > The company I work for uses MathML (and XML) for encoding educational > contents. We also have the goal of translating our XML contents in many > differents cultural domains. We have encountered some problems that we > don't know how to resolve in MathML. Boy, you came up with a tough list. Let me try to give some answers, though in many cases, I'm not sure there are any good answers. > 1. How do you propose to markup the association of units to quantities? > (Ex.: $5, 100 miles/h, 37.5 ºC) > i. Which markup is appropriate? > ii. How do you specify the spacing before or after the quantity? > iii.How do you manage $5 which is translated 5$ in french-canadian, > for example? A similar question was asked privately a while ago. I am posting a digest of the answers to the list separately, so it will show up in the subject line. > 2. mn. How do you propose to markup periodic numbers? There is no special way to do this in MathML. All I can think of really is to mark it up to look right. For example: <mn>2.33</mn><mover><mn>3</mn><mo>&OverLine;</mo></mover> > 3. mn. How do you propose to markup the ellipsis expressing the infinite > non-repeating decimals of a number? > (Ex.: 3.14159...) > Is it a postfix operator? We are looking for a form that does not > transgress the "number" meaning. The idea of a postfix operator is interesting. That would probably work, though you might have to tweak the spacing. However, I think a more straightforward approach is just to include it in the MN directly: <mn>3.14156&dots;</mn> > 4. What is the best way to markup words in mathematical expressions that > represent units, identifiers, operators,...? > With mi, mo or mtext? mtext is not rendered in a math font. > Ex.: > i. Area = 1/2 (base x height) > ??? > <math> > <mi>Area</mi> > <mo>=</mo> > <mfrac> > <mn>1</mn> > <mn>2</mn> > </mfrac> > <mo>⁢</mo> > <mfenced> > <mrow> > <mi>base</mi> > <mo>⨯</mo> > <mi>height</mi> > </mrow> > </mfenced> > </math> I would do it just as you have with <mi>'s. In your example, base and height are really variable names, and thus should be mi's. Since they both have multiple characters, they should be typeset in a normal font anyway. > ii. 150 m of fencing = 3 widths and 2 lengths > 150 = 3w + 2L > ... > ??? > <math> > <mtable groupalign="right center left"> > <mtr><mtd> > <maligngroup/><mn>150</mn> > <m?>m of fencing</m?> > <maligngroup/><mo>=</mo> > <maligngroup/><mn>3</mn> > <mo>⁢</mo> > <mi>widths</mi> > <mo>and</mo> > <maligngroup/><mn>2</mn> > <mo>⁢</mo> > <mi>lengths</mi> > </mtd></mtr> > ... > </mtable> > </math> This works for me too. I guess I might put the "and" in an <mtext>, since it is sort of in the gray zone between a genuine mathematical "and" operator and the ordinary word. Also, the typesetting for an <mtext> is likely to be better. > 5. mo: Invisible operators. Will you define an <mo>&InvisiblePlus;</mo> > to markup a fraction like 1 1/2 (one and an half)? > If not, how do you propose to markup the implied plus in this > fraction? You wouldn't ask it you knew the battle we've had over InvisibleTimes... I think the only way to mark this up for presentation is a <mn> next to a <mfrac>. Not very satisfactory, I realize. > 6. When explaining mathematics, it is often useful to present the > different notations used around the world. Is there an attribute or a > markup to specify the cultural domain notation we wish to render? > > > Ex.<p>The decimal system of numbers, based on 10, is used in most > countries in the world. The notation for decimal points is not the same > in all countries, however. In Canada and the USA, the point is placed on > the line. In the United Kingdom, it is placed above the line. In France, > a comma is used on the line instead of a point.</p> > > p>As a student in France, you would convert the decimal number > 7,12 > to a fraction.</p> > > <p>In the UK, you would convert the decimal number > 7·12 > to a fraction.</p> No, not really. As you obviously know, there is a lot of stuff to do in this area, and MML 2 didn't take it on. For the time being, using a private attribute or maybe the 'class' attribute on the <math> tag is probably the best work around. > 7. math. In the MathML2.0, there is a section for all markups, but I > didn't find the one which explains the root of mathematical expressions: > the math markup. Is there a specific documentation that could tell me > more about it (attributes, etc.)? Yeah, the <math> element is documented separately in Chapter 7 of the spec. Chapter 7 deals with the issues of embedding MathML in other markup, so the <math> element is described there. --Robert ------------------------------------------------------------------ Robert Miner RobertM@dessci.com MathML 2.0 Specification Co-editor 651-223-2883 Design Science, Inc. "How Science Communicates" www.dessci.com ------------------------------------------------------------------Received on Tuesday, 24 April 2001 11:09:57 UTC

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