
Uncountable vs Countable Infinity - Mathematics Stack Exchange
Nov 5, 2015 · 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 …
infinity - What is the definition of an infinite sequence ...
May 12, 2024 · Except for $0$ every element in this sequence has both a next and previous element. However, we have an infinite amount of elements between $0$ and $\omega$, which …
How can I define $e^x$ as the value of infinite series?
Are you familiar with Taylor series? Series solutions of differential equations at regular points? From what foundation/background are you approaching this problem?
calculus - Infinite Geometric Series Formula Derivation
Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 6 months ago Modified 4 years, 9 months ago
How can Cyclic groups be infinite - Mathematics Stack Exchange
Oct 4, 2020 · I am a little confused about how a cyclic group can be infinite. To provide an example, look at $\\langle 1\\rangle$ under the binary operation of addition. You can never …
abstract algebra - Infinite Degree Algebraic Field Extensions ...
May 30, 2012 · I have done a cursory google search and thought about it for a little while, but I cannot come up with a less contrived example. My question is What are some other examples …
Multiplication of infinite series - Mathematics Stack Exchange
Multiplication of infinite series Ask Question Asked 11 years, 8 months ago Modified 4 years, 8 months ago
Condition for infinite solutions to matrix linear equation.
Sep 5, 2024 · For a matrix equation AX=B it is known that a there are infinite solutions for the matrix X if |A|=0 (adj A)B = O Consider the following situation Satisfies the condition for infinite …
Reals as a vector space over rationals: why infinite dimensional?
Sep 5, 2021 · The reals can be thought of as a vector space over the rationals. The properties of a vector space are that addition and "scaling" by some scalar are well defined and …
linear algebra - Invertibility of infinite-dimensional matrix ...
May 3, 2020 · As far as I can tell, the "infinite matrix" representation of a linear operator is not that popular, especially in non-Hilbert contexts. There are many technicalities to address, as Jesko …