- 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
- Does a vertical line have no slope, or infinite slope?
I have heard some textbooks that vertical lines have no slope (not a slope of 0 0, rather, no slope at all) However, other textbooks say that the slope of a vertical line is ∞ ∞, where the ∞ ∞ is neither positive nor negative infinity, but an unsigned infinity Which is the right answer? Or, perhaps a better question is, which is more useful? The main reason I am asking this rather
- Infinite monkey theorem and numbers - Mathematics Stack Exchange
I had a discussion with a friend about the monkey infinite theorem, the theorem says that a monkey typing randomly on a keyboard will almost surely produce any given books (here let's say the bible
- Uncountable vs Countable Infinity - Mathematics Stack Exchange
My friend and I were discussing infinity and stuff about it and ran into some disagreements regarding countable and uncountable infinity As far as I understand, the list of all natural numbers is
- What are some examples of infinite dimensional vector spaces?
I would like to have some examples of infinite dimensional vector spaces that help me to break my habit of thinking of $\\mathbb{R}^n$ when thinking about vector spaces
- real analysis - Meaning of Infinite Union Intersection of sets . . .
Meaning of Infinite Union Intersection of sets Ask Question Asked 8 years, 11 months ago Modified 4 years, 4 months ago
- 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 - Invertibility of infinite-dimensional matrix . . .
How do you extend your definitions to that case, and how infinite is n n? Assuming n =N n = N, the product of two such matrices is still not always well-defined, take for instance the matrix whose entries are all 1 1 and multiply it with itself With multiplication somewhat undefined, I just feel a little uneasy about the term "invertible"
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