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GeneralRe: SmartXML Pin
Marc Clifton25-Apr-19 9:54
communityengineerMarc Clifton25-Apr-19 9:54 
GeneralRe: SmartXML Pin
Bassam Abdul-Baki25-Apr-19 10:13
professionalBassam Abdul-Baki25-Apr-19 10:13 
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Mark_Wallace25-Apr-19 10:55
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GeneralRe: SmartXML Pin
Bassam Abdul-Baki25-Apr-19 13:19
professionalBassam Abdul-Baki25-Apr-19 13:19 
GeneralRe: SmartXML Pin
Marc Clifton26-Apr-19 3:08
communityengineerMarc Clifton26-Apr-19 3:08 
GeneralRe: SmartXML Pin
Brisingr Aerowing25-Apr-19 12:45
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GeneralRe: SmartXML Pin
MarkTJohnson26-Apr-19 4:01
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GeneralRe: SmartXML Pin
Member 798912226-Apr-19 8:33
MemberMember 798912226-Apr-19 8:33 
I suspect that you clicked the wrong comment in the wrong discussion when you wrote your followup.
Nevertheless, I would like to comment on your question:

In my student days (long ago), a fellow student in theoretical physics was working on an analytical model of what happens when two waves collide. He did some numerical simulations, but his results displayed discontinuieties which he traced down to limited precision (72 bits double precision on a Univac mainframe). We wrote him a library for arbitrary precision floating point calculations (they weren't readily available on the Internet in those days), and he set out with 200 decimal digits of precision. This reduced the problems significantly, but not entirely.

Here comes the important stuff: As a student of theoretical physics, math is not hampered by issues like "limited precision". Our fellow student refused to relate to such mundane things. After two others have failed to make him understand that when adding the elements of a series expansion, it does matter if you add them from the one end or from the other one, I came in as the third one and finally made him accept (I wouldn't say "willingly"...) that adding "from the small end" could make an essential difference. It actually turned out that by adding from the small end, he never needed the exended precision library at all.

Numerical methods, error propagation and stuff like that are certainly not subjects taught to theoretical physicists or anyone else who simply use a computer as a tool to procuce some results. If the users think in math terms, like this student, you need all the precision that can be provided to make computer math behave as closely to real math as possible.

In mathematical theory, you may of course encounter people who really explore extremes of the concepts of numbers. They may even care for integers of 100,000,000 digits - not because they need the precision, but they really handle numbers of that range. The numbers are certainly not needed for any industrial or financial application, only for the number theory. Say, if a mathmatician is studying the possibility of there being a largest possible prime number, he might very well end up in those number ranges.
(Disclaimer: For all I know, it may have been proven that there is no such largest possible prime number. I am not a mathmatician; I simply made it up as a possible example.)
GeneralSpace, the final frontier Pin
RickZeeland25-Apr-19 7:49
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Mark_Wallace25-Apr-19 9:05
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dandy7225-Apr-19 10:22
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David O'Neil25-Apr-19 16:23
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dandy7226-Apr-19 11:03
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David O'Neil26-Apr-19 12:41
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GeneralSmoke Detectors Pin
k505425-Apr-19 6:06
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"mega"-in-a-fake-beard25-Apr-19 6:08
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OriginalGriff25-Apr-19 6:11
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SeattleC++26-Apr-19 9:09
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OriginalGriff26-Apr-19 9:17
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Pualee25-Apr-19 6:13
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OriginalGriff25-Apr-19 6:16
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Marc Clifton25-Apr-19 7:42
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GeneralRe: Smoke Detectors Pin
BryanFazekas26-Apr-19 2:40
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GeneralRe: Smoke Detectors Pin
englebart26-Apr-19 4:54
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BryanFazekas26-Apr-19 5:07
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