[OS X TeX] Latex symbol for "define equal"
Markus Klyver
markusklyver at hotmail.com
Tue Aug 21 13:49:09 CEST 2018
Definitions *are* equivalences.
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Från: MacOSX-TeX <macosx-tex-bounces at email.esm.psu.edu> för Ross Moore <ross.moore at mq.edu.au>
Skickat: den 21 augusti 2018 13:21
Till: TeX on Mac OS X Mailing List
Kopia: TeX on Mac OS X Mailing List
Ämne: Re: [OS X TeX] Latex symbol for "define equal"
Hi all.
I agree with using "when", or better "precisely when", in definitions.
Do not use these words in theorems. There are many alternative ways to express what you want.
But didn't this thread start out asking for a symbolic notation?
In that context, equivalence is *not* the word you want for a definition, as equivalence depends on a particular relation, so is weaker than a definition.
There are nuances in mathematical concepts and notations that are not always correctly appreciated by those who work primarily in other (mostly applied) fields.
On 21/08/2018, at 13:03, "Markus Klyver" <markusklyver at hotmail.com<mailto:markusklyver at hotmail.com>> wrote:
But how would the reader know if it's a theorem or a definition? Consider the statement "f(x)=1 when x=2". Do we mean f(x)=1 <---> x=2 or just f(x)=1 <--- x=2?
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Från: MacOSX-TeX <macosx-tex-bounces at email.esm.psu.edu<mailto:macosx-tex-bounces at email.esm.psu.edu>> för Josep Maria Font <jmfont at ub.edu<mailto:jmfont at ub.edu>>
Skickat: den 21 augusti 2018 12:15
Till: TeX on Mac OS X Mailing List
Ämne: Re: [OS X TeX] Latex symbol for "define equal"
That's why I prefer to use "when" for definitions: [...this NEW thing happens...] WHEN [...such-and-such known, understandable condition holds...].
JMaF
Cheers,
Ross
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