- From: Sam Dooley <samdooley64@gmail.com>
- Date: Thu, 12 Nov 2020 10:05:19 -0600
- To: David Farmer <farmer@aimath.org>
- Cc: public-mathml4@w3.org
- Message-ID: <CA+uqKFotWazuW8f3H4pcpQv1Hu1LisfKNAj970gukWQ6F9RWTw@mail.gmail.com>
On Thu, Nov 12, 2020 at 6:06 AM David Farmer <farmer@aimath.org> wrote: > > I'll repeat a point I made earlier about integrals with a > weight function. > > The following expression is natural in the context of Chebyshev > polynomials (similarly for any set of orthogonal polynomials): > > \int_{-1}^1 f(x) \frac{dx}{\sqrt{1-x^2}} > > The " 1/\sqrt{1-x^2} " is distinguished. A similar situation > arises in integral transforms. > > I suggest these "weighted integrals" should have a way of denoting > the weight. > I see no problem with that. > I'd like to know how Sam's "Differential alone in the numerator" > compares to > > \int_0^1 \frac{1}{x^2 + 1} dx . > > Does that have the same intent? > Yes. > On Wed, 11 Nov 2020, Neil Soiffer wrote: > > > I figured I should read more carefully what you wrote in > > https://mathml-refresh.github.io/mathml/docs/intent.html even though > you hadn't done an update yet. > > In case you didn't fix it, the MathML for "Binomial as stacked numbers" > is not right. Probably you > > want it to be an mfrac, but an mtable could also be used. Kind of > garbled in the version I read. > > > > I still don't like the way you handle plus/minus, but that's not really > a criticism of the intent > > idea... > > > > I don't think the "Differential alone in the numerator" is correct. The > 'intent' on the mfrac should > > block the higher level intent from seeing the 'x' inside it. Further, > the 'x' should not be in an > > <mtext>. Same issues for the next differential examples. > > > > Neil > > > > > > > > > > On Wed, Oct 21, 2020 at 12:41 PM Sam Dooley <samdooley64@gmail.com> > wrote: > > Hello all, > > > > Regrets for tomorrow's meeting, I will be having cataract surgery. > > > > https://mathml-refresh.github.io/mathml/docs/intent.html > > > > On the plus side, I did my homework, and created a new document to > describe as best I > > can what I believe is the latest consensus on the intent > attribute. Not the final word, > > as there are still things to discuss, and it is certainly biased > toward my preferences, > > but hopefully not too badly. > > > > I was able to include examples that should address Bruce's > concerns with the handling of > > transpose. To be continued. > > > > If an element has sub elements with intent, then intent="fn" will > collect them as > > arguments to fn. If an element has no such sub elements, then > intent="transpose" gives > > the intent of the transpose function itself, with no arguments. > If an operator has no > > arguments, and you want the intent of the application of the > function, use > > intent="fn()". Easy as pi, but we should discuss. > > > > The operator name can be placed on the enclosing element for the > apply, or on an element > > that gives markup for the operator. This should allow for what > folks want, but we > > should discuss. > > > > I've included examples with both argument index references, and > argument name > > references. I'd really like to avoid XPath references. > > > > I was able to expand on Bruce's examples where multiple > infix/prefix/postfix operators > > appear in a single mrow, and I marked up both minimal-mrow and > complete-mrow versions of > > each example. To be discussed. > > > > I've included examples with integrals of fractions where the > differential is included in > > the fraction. We should discuss scoping of argument name > references. > > > > I've not said anything about literal references, which I intend to > add. > > > > Oh yes, and I still need to convert this to markdown, once we stop > adding examples to > > it. I've not gone through the entire encyclopaedia. > > > > This version is intended to be more descriptive than > prescriptive. The examples are > > informally grouped to illustrate how to use the syntax. > > > > Enjoy, > > Sam > > > > > >
Received on Thursday, 12 November 2020 16:05:42 UTC