Aug 11, 2012 · Essentially, you gave the answer yourself: "infinity over infinity" is not defined just because it should be the result of limiting processes of different nature. I.e., since such a …

$\begingroup$ 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 …

Infinity is not a natural number, or a real number: there should be no confusion about that. We can use infinity as the upper limit of an integral as shorthand to say that all the reals greater than …

Dec 25, 2017 · When we use straightforward approach, we get $$ \frac{\infty+1}{\infty} = \frac{\infty}{\infty} $$ In the process of investigating a limit, we know that both the numerator …

Apr 28, 2016 · $\begingroup$ Can this interpretation ("subtract one infinity from another infinite quantity, that is twice large as the previous infinity") help us with things like …

May 14, 2017 · The infinity can somehow branch in a peculiar way, but I will not go any deeper here. This is just to show that you can consider far more exotic infinities if you want to. Let us …

Feb 14, 2020 · Infinity is not a number. So there there is no general meaning to any "infinity arithmetic" expression. Sometimes, though, there is a limit theorem which can be interpreted …

$\begingroup$ What I would say is that you can multiply any non-zero number by infinity and get either infinity or negative infinity as long as it isn't used in any mathematical proof. Because …

Jul 2, 2011 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

Linear holomorphic function at infinity Hot Network Questions If modern keyboards use 8-bit microcontrollers (due to low cost), what microcontrollers did keyboards for 8-bit/16-bit era of …