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#1 (permalink) |
dontcareaboutyou
Join Date: Apr 2006
Location: North Carolina
Posts: 5,145
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http://nakednaps.bandcamp.com/ |
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#2 (permalink) |
FakingSuicideForApplause
Join Date: Jul 2009
Location: I live in a van down by the river
Posts: 1,365
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Yes, 0.9999 recurring can be mathematically defined as 1. In fact, in many applications, including aerospace engineering, the specificity of a number is usually used to the 5th decimal place. Anymore than this would usually be supercilious. For example when using pi, 3.14159 is the generally accepted figure to be used.
Here's a fun fact for math nerds, the closest fraction for pi was found to be 355/113. Not 22/7 which was probably used when you were about 9years old to calculate circumference. So at any rate, 0.9999 can be substituted as 1 in any mathematical circumstance. It can be proved as a proof as Seltzer did or simply by common sense as I have just shown here.
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I'll stay if I ever could, and pick up your pieces babe, because there's never a perfect day. |
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#3 (permalink) |
thirsty ears
Join Date: Sep 2009
Location: Boulder
Posts: 742
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is this like a cross between "super silly" and "super serious"?
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my flac collection |
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#5 (permalink) | |
Music Addict
Join Date: May 2010
Location: UK
Posts: 120
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No more stories / are told today / I'm sorry / they washed away // No more stories / the world is grey / I'm tired / let's wash away.
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#7 (permalink) |
thirsty ears
Join Date: Sep 2009
Location: Boulder
Posts: 742
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take a distance, A to B.
move 90% of that distance. then 90% of the remaining distance. and so on and so on, to infinity. how will you ever get to B? reminds me of zeno's dichotomy paradox...
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my flac collection |
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#8 (permalink) |
dontcareaboutyou
Join Date: Apr 2006
Location: North Carolina
Posts: 5,145
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This isn't a matter of limits. It's matter of the rationalizing repeating decimals.
So let's look at 1/3 it divides out to .3 repeating. These two quantities are equal. so if we multiply both quantities by three we will 1 and .9 repeating. These two quantities are equal there's no discussion to be had
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http://nakednaps.bandcamp.com/ |
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#9 (permalink) |
thirsty ears
Join Date: Sep 2009
Location: Boulder
Posts: 742
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.3 repeating is very close to 1/3, but even if you carry it out to the end of the universe, they're never actually equal, are they?
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#10 (permalink) | |
Music Addict
Join Date: Mar 2009
Posts: 1,711
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If 1/3 doesn't equal .3 repeating, then enlighten all us math noobs as to what the decimal equivalent of that fraction is... |
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