What is infinity divided by infinity? - Mathematics Stack Exchange
2012年8月11日 · One advantage of approach (2) is that it allows one to discuss indeterminate forms in concrete fashion and distinguish several cases depending on the nature of numerator …
elementary set theory - What do finite, infinite, countable, not ...
Clearly every finite set is countable, but also some infinite sets are countable. Note that some places define countable as infinite and the above definition. In such cases we say that finite …
infinity - Does infinite equal infinite? - Mathematics Stack Exchange
(the principal exception I know of is the extended hyperreal line, which has many infinite numbers obeying the 'usual' laws of arithmetic, and a pair of additional numbers we call $+\infty$ and $ …
Reasons why division by zero is not infinity or it is infinity.
2020年12月2日 · You can't prove that division by zero is undefined. It's not defined, there is nothing to prove. For real numbers, addition and multiplication are defined for all pairs of …
calculus - Infinite Geometric Series Formula Derivation
Infinite Geometric Series Formula Derivation. Ask Question Asked 11 years, 9 months ago. Modified 3 years ...
What is the difference between "infinite" and "transfinite"?
2020年6月6日 · The reason being, especially in the non-standard analysis case, that "infinite number" is sort of awkward and can make people think about $\infty$ or infinite cardinals …
Example of infinite field of characteristic $p\\neq 0$
2023年5月11日 · On the other hand, if we had $\overline{\mathbb{F}_p}\subseteq\mathbb{F}_p(T)$, then we would have that there were …
probability - Infinite expected value of a random variable ...
2012年11月17日 · From a construction point of view, it is easier to understand. In this particular case, the probability of each outcome decreases exponentially. Since the number of outcomes …
1 to the power of infinity formula - Mathematics Stack Exchange
2016年10月27日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Uncountable vs Countable Infinity - Mathematics Stack Exchange
2015年11月5日 · As far as I understand, the list of all natural numbers is countably infinite and the list of reals between 0 and 1 is uncountably infinite. Cantor's diagonal proof shows how even a …