Just Because Today is π Day...

@ArishMell ... here's a nice paper about it:
https://www.math.uri.edu/~merino/spring06/mth562/ShortHistoryComplexNumbers2006.pdf

@helenS
(A+i.B) is a vector |[b][c=003BB2][/c][/b]_
(A-i.B) is a vector |[b][c=003BB2]\[/c][/b]
Both are complex
A^2+B^2 however is real no

@Domking (5 + sqrt(-15)) + (5 - sqrt(-15)) = 10, so it's real.
The product of both complex numbers is also real (the imaginary parts cancel out each other) and the product is equal to 40.

@helenS You are evil...
You made me confirm and get stuck. It turns out that python cmath library does not support exponentiation of two complex numbers.
I had to go into my library and find a code which I wrote earlier to do this operation.
I got an answer of around 4.8. Tracing it back, I confirmed your e^(pi/2)

@Lanyx It's easy to prove that the result is exp(π/2).
You just have to use [i]i=exp(i*π/2)[/i], so i^(-i) = (exp(i*π/2))^(-i) where –i=1/i, of course, so (exp(i*π/2))^(-i) = exp(-i/i*π/2) = exp(π/2).
Evil Helen 😈

@helenS I know about that trick. A while back, I wrote a python routine which does (a + bi)^(c + di). I did some manipulation and it spits out an answer.

@becca00f I have many more math jokes on the shelf! Usually the response will be microscopic when I post one. This here is a big exception. 63 replies on a maths joke...

@helenS unless you have taken a lot of math it usually is not noticed

@becca00f That's exactly what makes those jokes so special 🤭

@helenS That is true; it is a universal language that underpins so many fields. To be honest, I have never understood how some people I know can go through life without a shred of curiousity.

@SW-User There are always some who take everything for granted – not a very attractive mind set, in my opinion.

@helenS I agree. I always try to find something in everyone that I meet that they find interesting and can talk about, but with a few I give up!

@bookerdana I would assume they have many friends 🤭

@helenS Although my image didn't have that coda,i would assume not!🤣

@Pfuzylogic 3 actually....3.14, the 14th of March, the yank system and the normal system lol

@Convivial
How do you yank a Pi? 😙

@Pfuzylogic depends on the crust

@Jlhzfromep +1

@helenS did u get cream pied as well on pie day? :p

@bluemachine 😌

@helenS lol message me

@captainPicard1 Spirit is the nature of the universe.

@babyboy42 If you wanna chat – why don't you just take the first step?

@babyboy42 Yes that's true I'm not a math robot 🤭

@babyboy42 You want to chat with a person who posts silly stuff about transcendental and imaginary numbers? 😏

@babyboy42 I'm a bit surprised I have to say 😏

Be real yet "imaginative"! 🙃😊