Aug 11, 2012 · 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 and …

Infinite Geometric Series Formula Derivation. Ask Question Asked 12 years, 1 month ago. Modified 4 years ...

Apr 24, 2015 · The infinite monkey theorem states that if you have an infinite number of monkeys each hitting keys at random on typewriter keyboards then, with probability 1, one of them will …

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 …

$\begingroup$ Arithmetic with $\infty$ is usually a convention rather than a piece of mathematics. (For example, some mathematicians (in measure theory) take $\infty\cdot 0 = 0$ and reason …

(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 $ …

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Dec 14, 2024 · My knowledge of logic is very limited, but I am concerned that this approach of "infinite" instantiations is not valid. Specifically, it feels like I am trying to use an "inductive …

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …

On the other hand, if we had $\overline{\mathbb{F}_p}\subseteq\mathbb{F}_p(T)$, then we would have that there were some $\frac{f}{g}\in \mathbb{F}_p(T)$ such that …