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- What is infinity divided by infinity? - Mathematics Stack Exchange
I know that $\\infty \\infty$ is not generally defined However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for
- One divided by Infinity? - Mathematics Stack Exchange
Infinite decimals are introduced very loosely in secondary education and the subtleties are not always fully grasped until arriving at university By the way, there is a group of very strict Mathematicians who find it very difficult to accept the manipulation of infinite quantities in any way
- elementary set theory - What do finite, infinite, countable, not . . .
A set A A is infinite, if it is not finite The term countable is somewhat ambiguous (1) I would say that countable and countably infinite are the same That is, a set A A is countable (countably infinite) if there exists a bijection between A A and N N (2) Other people would define countable to be finite or in bijection with N N
- I have learned that 1 0 is infinity, why isnt it minus infinity?
An infinite number? Kind of, because I can keep going around infinitely However, I never actually give away that sweet This is why people say that 1 0 "tends to" infinity - we can't really use infinity as a number, we can only imagine what we are getting closer to as we move in the direction of infinity
- linear algebra - What, exactly, does it take to make an infinite . . .
If your infinite dimensional space has an inner product and is complete with respect to the induced norm then it is an infinite dimensional Hilbert space That's all it takes to make an infinite dimensional Hilbert space
- Example of infinite field of characteristic $p\\neq 0$
Can you give me an example of infinite field of characteristic p ≠ 0 p ≠ 0? Thanks
- Infinity plus Infinity - Mathematics Stack Exchange
In terms of set theory, it is true that for any infinite power K:k+k=kk=k note that for a=0 : ak=0 and not infinity
- calculus - Infinite Geometric Series Formula Derivation - Mathematics . . .
Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 3 months ago Modified 4 years, 5 months ago
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