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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
- 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
- How can Cyclic groups be infinite - Mathematics Stack Exchange
I am a little confused about how a cyclic group can be infinite To provide an example, look at $\\langle 1\\rangle$ under the binary operation of addition You can never make any negative numbers with
- linear algebra - What can be said about the dual space of an infinite . . .
The dual space of an infinite-dimensional vector space is always strictly larger than the original space, so no to both questions This was discussed on MO but I can't find the thread
- Koch snowflake paradox: finite area, but infinite perimeter
The Koch snowflake has finite area, but infinite perimeter, right? So if we make this snowflake have some thickness (like a cake or something), then it appears that you can fill it with paint like
- What does it mean Infinite dimensional normed spaces?
I see what you mean, so does a normed-space being infinite means that it maps a vector space to a continous interval? If this is the case how do we have a finite normed-space?
- Can an infinite sum of irrational numbers be rational?
An infinite sum of irrational numbers can be rational PROOF: Let the set A be all the positive irrational numbers and the set B be the negative irrational numbers
- Is there a shape with infinite area but finite perimeter?
But the circumference also defines the subset with infinite area that lays "outside" (which is a conventional concept) That other "outside shape" would be an example of a finite-perimeter curve with an infinite area That sounds like cheating and playing with words
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