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A math question

Posted: July 3rd, 2017, 6:07 am
by cyboryxmen
Is the square root of infinity bigger or smaller than infinity?

Re: A math question

Posted: July 3rd, 2017, 6:27 am
by Pindrought
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.

Re: A math question

Posted: July 3rd, 2017, 6:34 am
by albinopapa
Really, infinity isn't a number, it's like asking, "What's the square root of an apple?"

Re: A math question

Posted: July 3rd, 2017, 9:25 am
by Yumtard
^
What papa said. It's a mathematical concept, not a number

Re: A math question

Posted: July 3rd, 2017, 11:17 am
by Zedtho
Yep, gotta agree with albinopapa

Re: A math question

Posted: July 3rd, 2017, 2:03 pm
by FinalL
I'm pretty sure any root of infinity is infinity, because of the logic of the infinity concept of real numbers' extension.

Re: A math question

Posted: July 3rd, 2017, 4:26 pm
by albinopapa
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?

Re: A math question

Posted: July 7th, 2017, 4:04 pm
by krautersuppe
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.

Re: A math question

Posted: July 8th, 2017, 7:27 am
by chili
Yeah, I was going to say the concept of inifity only really makes sense in the context of limits.

Re: A math question

Posted: July 12th, 2017, 6:35 pm
by cyboryxmen
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.