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 …

In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical …

Q&A for people studying math at any level and professionals in related fields

Feb 1, 2017 · When doing integration by parts, how do you know which part should be u u ? For example, For the following:

Mar 5, 2023 · I recently read a controversial book by Richard Wurmbrand called "Was Karl Marx a Satanist?", and I found it very thought provoking. There are many historical facts …

Can there be said anything about det(A + B) det (A + B)? If A/B A / B are symmetric (or maybe even of the form λI λ I) - can then things be said?

Oct 28, 2019 · 0 0 = x 0 0 = x 0x = 0 0 x = 0 x x can be any value, therefore 0 0 0 0 can be any value, and is indeterminate. 1 0 = x 1 0 = x 0x = 1 0 x = 1 There is no such x x that satisfies …

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 multiplying by …

Aug 28, 2012 · I was looking for proofs using Calculus for the area of a circle and come across this one $$\\int 2 \\pi r \\, dr = 2\\pi \\frac {r^2}{2} = \\pi r^2$$ and it struck me as being …

My personal opinion is that duodecimal might have been a better number system than decimal, but sadly we don't have 12 "digits" on our hands.