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Former Member
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0.9999...... = 1 ?

i do not believe this is possible. our mathematicians have gone off the deep end, if you know what i mean.
[Mar 23, 2013 4:59:35 PM]   Link   Report threatening or abusive post: please login first  Go to top 
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Re: 0.9999...... = 1 ?

Well if you go to the bank, try to get them to give you 100 dollars for 9999 cents [only legal tender if you go to a bank, in a shop they can and will likely refuse]. Now as we all know banks are the de facto mathemagicians ;>)
[Mar 23, 2013 5:08:47 PM]   Link   Report threatening or abusive post: please login first  Go to top 
twilyth
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Re: 0.9999...... = 1 ?

if you understand the concept of infinity it and the infinitestimal calculus, it's obvious.

The ellipsis after the 9's means that they go on for infinity. AT infinity, .999..... does = 1

Look at it this way. What is 1 divided by 3? 1/3rd, right?

How do you express that? .333..... correct?

What is 3 times 1 third? One, precisely - isn't it?

So what is 3 times .333.....? .999..... or one precisely.
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[Mar 23, 2013 5:53:26 PM]   Link   Report threatening or abusive post: please login first  Go to top 
Hypernova
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Re: 0.9999...... = 1 ?

Interesting discussion. Not only Banks do the rounding but also our app_config.xml or app_info.xml files.
To set the number of GPU threads you want to run in parallel, you give a count number that is a fraction of 1. Example 1 means one GPU core. 0.5 means 2 GPU cores. Now if I want to have 12 GPU cores so as to have the same number of CPU cores that I have then the number for count should be 1/12 = 0.083333333333.......ad infinitum. Thanks god 0.083 is considered as 12 and not 12.048 which would mean to use 12 cores and a fraction of and additional 13th core. Just unamanageable. wink
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[Edit 2 times, last edit by Hypernova at Mar 24, 2013 11:57:52 AM]
[Mar 24, 2013 11:24:46 AM]   Link   Report threatening or abusive post: please login first  Go to top 
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Re: 0.9999...... = 1 ?

Reporting this over at devs earned me a sneer and a snub, so next time something 'small' needs reporting, package it in loads of butter. Seen no silent check-ins of a fix, so for now we'll have to live with deducting 1/1000th of a fraction from the computed value to get e.g desired 20 with 0.049 instead of entering 0.05 , yes really.

Just wonder if techpower's app_config.xml generation util takes account of this quirk... but we're running OT again, LoL.
[Mar 24, 2013 11:52:12 AM]   Link   Report threatening or abusive post: please login first  Go to top 
twilyth
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Re: 0.9999...... = 1 ?

I'm probably beating a dead horse, but if you're interested in mathematics, I think this is important. When you learn calculus, you learn about limits and one of the things you learn is what happens to a function f(x) as x approaches a certain value, often 0 or infinity.

One of the things that is rarely talked about however is what happens AT infinity and part of the reason is that it's largely irrelevant for the purpose of understanding and using calculus, however the idea of 'at infinity' does have meaning as I was trying to show in the previous example.
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[Mar 24, 2013 2:41:39 PM]   Link   Report threatening or abusive post: please login first  Go to top 
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Re: 0.9999...... = 1 ?

ahum, the null hypothesis wink
[Mar 24, 2013 3:19:17 PM]   Link   Report threatening or abusive post: please login first  Go to top 
twilyth
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Re: 0.9999...... = 1 ?

I'm not sure what you mean.

Here's another example. People think that the two aren't equivalent because you can somehow subtract .999.... from 1. In other words that there is something left over at the tail end of all of those nines.

But the whole point of an infinite series is that there is no end, so any "remainder" that you would be subtracting from one is swallowed up by infinity.

edit: is that what you meant by "null?"
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[Edit 1 times, last edit by twilyth at Mar 24, 2013 3:49:15 PM]
[Mar 24, 2013 3:48:33 PM]   Link   Report threatening or abusive post: please login first  Go to top 
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Re: 0.9999...... = 1 ?

x=0.999...
10x=9.999...
9x=9
x=1

First mathematical proof I learned.
[Mar 24, 2013 5:32:35 PM]   Link   Report threatening or abusive post: please login first  Go to top 
twilyth
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Re: 0.9999...... = 1 ?

I like that one, but you forgot the minus sign 10x - x = 9x implies 9x = 9 implies x = 1
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[Mar 24, 2013 5:40:10 PM]   Link   Report threatening or abusive post: please login first  Go to top 
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