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A math question

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 Post subject: A math question  Posted: July 3rd, 2017, 6:07 am

Joined: November 14th, 2014, 2:03 am
Posts: 82
Is the square root of infinity bigger or smaller than infinity?

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Zekilk

 Post subject: Re: A math question  Posted: July 3rd, 2017, 6:27 am

Joined: September 26th, 2013, 4:57 pm
Posts: 392
Location: Kentucky
smaller imo

ETA: I know people will say sqart(infinity) = infinity which is true, but just saying theoretically infinity>1 and the square root of any number > 1 is less than the starting number.

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 Post subject: Re: A math question  Posted: July 3rd, 2017, 6:34 am

Joined: February 28th, 2013, 3:23 am
Posts: 2908
Location: Oklahoma, United States
Really, infinity isn't a number, it's like asking, "What's the square root of an apple?"

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 Post subject: Re: A math question  Posted: July 3rd, 2017, 9:25 am

Joined: January 19th, 2017, 10:28 pm
Posts: 509
Location: Idiot from northern Europe
^
What papa said. It's a mathematical concept, not a number

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 Post subject: Re: A math question  Posted: July 3rd, 2017, 11:17 am

Joined: February 14th, 2017, 7:32 pm
Posts: 170
Yep, gotta agree with albinopapa

 Post subject: Re: A math question  Posted: July 3rd, 2017, 2:03 pm

Joined: February 6th, 2014, 3:44 pm
Posts: 44
Location: Slovakia
I'm pretty sure any root of infinity is infinity, because of the logic of the infinity concept of real numbers' extension.

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 Post subject: Re: A math question  Posted: July 3rd, 2017, 4:26 pm

Joined: February 28th, 2013, 3:23 am
Posts: 2908
Location: Oklahoma, United States
FinalL wrote:
I'm pretty sure any root of infinity is infinity, because of the logic of the infinity concept of real numbers' extension.

Is that the concept that there are an infinite amount of numbers between integers and therefore more real numbers than integers?

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 Post subject: Re: A math question  Posted: July 7th, 2017, 4:04 pm

Joined: September 14th, 2015, 10:58 pm
Posts: 40
Location: Jena
cyboryxmen wrote:
Is the square root of infinity bigger or smaller than infinity?

Well the question is - as papa already pointed out - invalid.
Infinity is introduced in infinite series math and is also called uncertain limit. It is one of the answers to a question - does the particular series converge? There are 3(I don't know -maybe more) answers to this question:
1.) Yes they converge to a limit.
2.) No they diverge uncertainly(for example jump between numbers -1 and 1)
3.) No they certainly diverge to uncertain limit

Now correct question that you are asking would be: Does a square root of certainly diverging series also certainly diverge ?
The answer is yes(and if i translate it to your question then no) - and proof to that is the so called minor criteria which is an analogy of major criteria(a method of comparison between series which converge to zero). I am not going to explain this madness here in detail - if you really wish to know you should read an academic text about mathematical series - I can provide a link if you are fluent in german.

Incredibly enough there is a direct visual proof of what you ask here in Chili's tutorial series - it's in old beginner tutorial 9.
The pattern would have rings regardless of whether one uses square or root value of the distance.
It does however affect the distance between rings aka divergence zones . You can see my explanation on this thread.

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 Post subject: Re: A math question  Posted: July 8th, 2017, 7:27 am

Joined: December 31st, 2011, 4:53 pm
Posts: 3514
Location: Japan
Yeah, I was going to say the concept of inifity only really makes sense in the context of limits.

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Chili

 Post subject: Re: A math question  Posted: July 12th, 2017, 6:35 pm

Joined: November 14th, 2014, 2:03 am
Posts: 82
krautersuppe wrote:
I am not going to explain this madness here in detail - if you really wish to know you should read an academic text about mathematical series - I can provide a link if you are fluent in german.

Ja bitte.

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Zekilk

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