Author 
Message 
cyboryxmen

Posted: July 3rd, 2017, 6:07 am 

Joined: November 14th, 2014, 2:03 am Posts: 70

Is the square root of infinity bigger or smaller than infinity?
_________________ Zekilk





Pindrought

Posted: July 3rd, 2017, 6:27 am 

Joined: September 26th, 2013, 4:57 pm Posts: 390 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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albinopapa

Posted: July 3rd, 2017, 6:34 am 

Joined: February 28th, 2013, 3:23 am Posts: 2547 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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Yumtard

Posted: July 3rd, 2017, 9:25 am 

Joined: January 19th, 2017, 10:28 pm Posts: 366 Location: Idiot from northern Europe

^ What papa said. It's a mathematical concept, not a number





Zedtho

Posted: July 3rd, 2017, 11:17 am 

Joined: February 14th, 2017, 7:32 pm Posts: 125

Yep, gotta agree with albinopapa





FinalL

Posted: July 3rd, 2017, 2:03 pm 

Joined: February 6th, 2014, 3:44 pm Posts: 40 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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albinopapa

Posted: July 3rd, 2017, 4:26 pm 

Joined: February 28th, 2013, 3:23 am Posts: 2547 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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krautersuppe

Posted: July 7th, 2017, 4:04 pm 

Joined: September 14th, 2015, 10:58 pm Posts: 28 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 limitNow 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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chili

Posted: July 8th, 2017, 7:27 am 

Site Admin 

Joined: December 31st, 2011, 4:53 pm Posts: 3282 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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cyboryxmen

Posted: July 12th, 2017, 6:35 pm 

Joined: November 14th, 2014, 2:03 am Posts: 70

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.
_________________ Zekilk





