A math question
- cyboryxmen
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Re: A math question
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.
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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Re: A math question
Really, infinity isn't a number, it's like asking, "What's the square root of an apple?"
If you think paging some data from disk into RAM is slow, try paging it into a simian cerebrum over a pair of optical nerves. - gameprogrammingpatterns.com
Re: A math question
^
What papa said. It's a mathematical concept, not a number
What papa said. It's a mathematical concept, not a number
Re: A math question
Yep, gotta agree with albinopapa
Re: A math question
I'm pretty sure any root of infinity is infinity, because of the logic of the infinity concept of real numbers' extension.
Many noodles, one sauce.
'Programming rules: #1 - Everything is just a fucking number.' Chili, 2012
Mainly Discord procrastinator
'Programming rules: #1 - Everything is just a fucking number.' Chili, 2012
Mainly Discord procrastinator
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Re: A math question
Is that the concept that there are an infinite amount of numbers between integers and therefore more real numbers than integers?FinalL wrote:I'm pretty sure any root of infinity is infinity, because of the logic of the infinity concept of real numbers' extension.
If you think paging some data from disk into RAM is slow, try paging it into a simian cerebrum over a pair of optical nerves. - gameprogrammingpatterns.com
- krautersuppe
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Re: A math question
Well the question is - as papa already pointed out - invalid.cyboryxmen wrote:Is the square root of infinity bigger or smaller than infinity?
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.
DSU
Discord: dsu1, GitHub: https://github.com/DSpUz
Discord: dsu1, GitHub: https://github.com/DSpUz
Re: A math question
Yeah, I was going to say the concept of inifity only really makes sense in the context of limits.
Chili
- cyboryxmen
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Re: A math question
Ja bitte.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.
Zekilk