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robarth

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Gender: male
Date Signed Up:3/26/2011
Last Login:3/03/2015
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Comment Ranking:#18869
Highest Content Rank:#18798
Highest Comment Rank:#3934
Content Thumbs: 41 total,  65 ,  24
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Content Level Progress: 76.27% (45/59)
Level 0 Content: Untouched account → Level 1 Content: New Here
Comment Level Progress: 3% (3/100)
Level 221 Comments: Mind Blower → Level 222 Comments: Mind Blower
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Content Views:3202
Times Content Favorited:3 times
Total Comments Made:452
FJ Points:2199
Favorite Tags: game (3) | the (3)
I play guitar! *insert awesome face here*

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    Prove Prove

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latest user's comments

#68 - If somebody wants know more about this, here have this: 02/23/2015 on Infinity Explain: Paradox 0
#117 - Picture 02/14/2015 on Post your favorite gif +1
#46 - You can find it analytically, but yes, practically you can't. 01/18/2015 on To Infinity 0
#39 - And real line is just graphical representation of the set of r… 01/18/2015 on To Infinity 0
#38 - Well, you have mixed definitions, constructible numbers aren't…  [+] (2 new replies) 01/18/2015 on To Infinity 0
#42 - bobpi (01/18/2015) [-]
It is one the line, but you can't find the point which belongs to it.
User avatar #46 - robarth (01/18/2015) [-]
You can find it analytically, but yes, practically you can't.
#36 - What are you talking about?  [+] (5 new replies) 01/18/2015 on To Infinity +3
#37 - bobpi (01/18/2015) [-]
The square root of 2 is correctly placed, because it's an algebraic number and you can construck a line with the length of square root of 2.
To construct a line with the length of pi (or e, while we're at it), you need an infinite number of steps, you find 3, then you move to 3.1, then to 3.14, then to 3.141, then to 3.1415, etc. And since pi has infinite decimals, you can never find its exact position. You can get really close, but you can't find exact position, which is a propery of transcendental numbers.
User avatar #39 - robarth (01/18/2015) [-]
And real line is just graphical representation of the set of real numbers and pi is part of the reals
User avatar #38 - robarth (01/18/2015) [-]
Well, you have mixed definitions, constructible numbers aren't the same as algebraic numbers. You can solve for cube root of 2 with finite polynomial with rational coefficients (x^3-2=0) but you can't construct it (Doubling the cube)

And pi IS on real line, yes you can't construct it, but it IS there.
#42 - bobpi (01/18/2015) [-]
It is one the line, but you can't find the point which belongs to it.
User avatar #46 - robarth (01/18/2015) [-]
You can find it analytically, but yes, practically you can't.
#26 - Well, pi IS number on the real line, the transcendental proper…  [+] (9 new replies) 01/18/2015 on To Infinity +2
#30 - bobpi (01/18/2015) [-]
If pi were possible to find on the number line, then we wouldn't have problems like squaring the circle.
If you have the way on finding pi on the number line, can you at least provide a link, so I'll know for the future?
#32 - koisama (01/18/2015) [-]
Are you saying that Pi does not belong to the Real Numbers, R? In the mathematical sense of course.
#33 - bobpi (01/18/2015) [-]
Pi does belong to real numbers, I'm not saying it doesn't. However, real numbers can be divided in 2 groups: algebraic - those which can be shown on the number line, and transcendental - those which can't be shown on the number line.
All transcendental numbers are irrational, but not all irrational numbers are transcendental.
You can mark the point belonging to square root of 2 on the number line, but you can't apply the same to pi, tau, e, etc.
#36 - robarth (01/18/2015) [-]
What are you talking about?
#37 - bobpi (01/18/2015) [-]
The square root of 2 is correctly placed, because it's an algebraic number and you can construck a line with the length of square root of 2.
To construct a line with the length of pi (or e, while we're at it), you need an infinite number of steps, you find 3, then you move to 3.1, then to 3.14, then to 3.141, then to 3.1415, etc. And since pi has infinite decimals, you can never find its exact position. You can get really close, but you can't find exact position, which is a propery of transcendental numbers.
User avatar #39 - robarth (01/18/2015) [-]
And real line is just graphical representation of the set of real numbers and pi is part of the reals
User avatar #38 - robarth (01/18/2015) [-]
Well, you have mixed definitions, constructible numbers aren't the same as algebraic numbers. You can solve for cube root of 2 with finite polynomial with rational coefficients (x^3-2=0) but you can't construct it (Doubling the cube)

And pi IS on real line, yes you can't construct it, but it IS there.
#42 - bobpi (01/18/2015) [-]
It is one the line, but you can't find the point which belongs to it.
User avatar #46 - robarth (01/18/2015) [-]
You can find it analytically, but yes, practically you can't.
#19 - either a fraction like .3 repeating ( = 1/3) or irrat… 01/18/2015 on To Infinity 0
#16 - My point was that you said that pi is infinite. I know you've …  [+] (3 new replies) 01/18/2015 on To Infinity -1
User avatar #17 - MrMustacho (01/18/2015) [-]
ah, i read "finite value" as "infinite value".
so what would you call a number that goes on forever?
User avatar #20 - CaptainPugwash (01/18/2015) [-]
Transfinite.
And, as was very rightly stated below me, some examples would be root 2, pi, 2/3, that kind of stuff
User avatar #19 - robarth (01/18/2015) [-]
either a fraction like .3 repeating ( = 1/3)

or irrational number ( square root of two, pi, eulers number etc.)
#14 - Just for you guys incase you don'T get it.  [+] (2 new replies) 01/18/2015 on To Infinity +9
User avatar #65 - vortexrain (01/18/2015) [-]
I have a headache now. I think she should've lead with the .333... thing first.
User avatar #24 - thatlittledoll (01/18/2015) [-]
I love you for this. I used to watch her all the time.

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