What is infinity divided by infinity? - Mathematics Stack Exchange
Aug 11, 2012 · 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 …
linear algebra - What, exactly, does it take to make an infinite ...
Oct 31, 2017 · If your infinite dimensional space has an inner product and is complete with respect to the induced norm then it is an infinite dimensional Hilbert space. That's all it takes to …
calculus - Infinite Geometric Series Formula Derivation
Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 3 months ago Modified 4 years, 5 months ago
elementary set theory - What do finite, infinite, countable, not ...
A set A A is infinite, if it is not finite. The term countable is somewhat ambiguous. (1) I would say that countable and countably infinite are the same. That is, a set A A is countable (countably …
I have learned that 1/0 is infinity, why isn't 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 plus Infinity - Mathematics Stack Exchange
In terms of set theory, it is true that for any infinite power K:k+k=kk=k. note that for a=0 : ak=0 and not infinity
Is there a case "infinite" p-group is meaningful?
An infinite dimensional vector space over a field with p p elements is probably the simplest example. But there are some really wacky groups called "Tarski Monsters" that provide …
Matrix exponential on infinite dimensional matrices
Jan 2, 2025 · For example, does it always hold for diagonalizable or diagonal matrices? For example, it feels like the exponential operator on a diagonal matrix is the same as the …
In an infinite sum, is there an actual term at an infinite position?
Nov 18, 2023 · In an infinite sum, is there an actual term at an infinite position? [duplicate] Ask Question Asked 1 year, 8 months ago Modified 1 year, 7 months ago
Example of infinite field of characteristic $p\\neq 0$
Can you give me an example of infinite field of characteristic p ≠ 0 p ≠ 0? Thanks.