DR 17-0035

[Francis Cave]

I understand your concern. The term “limit” is not appropriate in all cases. How about something like the following?

n-ary operator — An mathematical operator that involves n terms when expanded , typically a single operator character, optionally accompanied by superscript or subscript expressions, or both, representing the domain or limits of the mathematical operation. For instance, the following example uses the Unicode (ISO 10646) summation sign (U+2211) which has the official name “N-ARY SUMMATION”.

However, this suggests that the description of the element limLoc (§22.1.2.53) needs to be adjusted in a similar way, e.g.

 

This element specifies the location of limits, i.e. superscript or subscript expressions representing a domain or limits according to the mathematical operation,  in n-ary operators. Limits can be either centered above and below the n-ary operator (shown in the first summation example below), or positioned just to the right of the operator (shown in the second summation example below).

 

I think that the mathematical expression below the first paragraph of §22.1.2.53 is illustrative, not normative, so should be enclosed in an example.

 

I hope that the above uses the term “domain” correctly, i.e. the set of values over which the operation is evaluated.

 

Francis

 

 

From: eb2mmrt at gmail.com <eb2mmrt at gmail.com> On Behalf Of MURATA Makoto
Sent: 04 April 2018 15:50
To: SC 34 WG4 <e-SC34-WG4 at ecma-international.org>
Subject: Re: DR 17-0035

 

The proposed change looks strange but is consistent with OMath.

 

<xsd:complexType name="CT_Nary"> <xsd:sequence> <xsd:element name="naryPr" type="CT_NaryPr" minOccurs="0"/> <xsd:element name="sub" type="CT_OMathArg"/> <xsd:element name="sup" type="CT_OMathArg"/> <xsd:element name="e" type="CT_OMathArg"/> </xsd:sequence> </xsd:complexType>

 

However, I do not like the word "limit", since 

22.1.2.72 of Part 1 mentions Logical And and Logical OR.

In these two cases, <sub> or <sup> do not represent 

limits.

 

Regards,

Makoto

 

 

 

 

2018-03-09 5:25 GMT+09:00 Francis Cave <francis at franciscave.com <mailto:francis at franciscave.com> >:

I think that the definition of "n-ary operator" in §15.1 is insufficient, because it fails to include the integral sign and other similar signs that operate on continuous (i.e. non-discrete) ranges of values. This is particularly unsatisfactory, given that the default n-ary operator character is the integral sign (see §22.1.2.20)! I therefore propose the following change to the definition of "n-ary operator":

n-ary operator — An mathematical operator that involves n terms when expanded , typically a single operator character, optionally accompanied by expressions of a lower limit, an upper limit, or both. For instance, the following example uses the Unicode (ISO 10646) summation sign (U+2211) which has the official name “N-ARY SUMMATION”.

[example expression here]

Francis





 

-- 


Praying for the victims of the Japan Tohoku earthquake

Makoto

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