At @recursecenter in our Annotated Turing study group we got talking about diagonalization. I made a joke - then I made a poster and bumpersticker to go with it.

It's always a fun conversation to have - what is real - what can we express - what can we compute

#realNumbers #birdsarentreal #math #mathart #mtbos #recurseCenter #diagonalization #cantor

I'm not imagining things...

#Math #RealNumbers #ImaginaryNumbers

I made a "small" #Shadertoy #GLSL thingy that can generate implicit functions with equal thickness (Thanks for the magic of dual numbers). Link: https://www.shadertoy.com/view/wcyGRw

It features a large set of functions:

- Elementary operations
> +, -, *, /
- Exponentials
> exp, log
- Powers and roots
> sqrt, cbrt, pow (TODO)
- Sign related
> step, sgn, ramp, abs
Rounding
> floor, round, ceil
Trigonometry:
> sin, cos, tan, sec, csc, cot,
Hyperbolics:
> sinh, cosh, tanh, sech, csch, coth
Inverse trigonometry:
> asin, acos, atan, asec, acsc, acot
Inverse hyperbolics
> asinh, acosh, atanh, asech, acsch, acoth

It only has some bugs with functions that have poles. For example y=tan(x) produces straight lines at each pole.

#programming #shaders #math #functions #derivative #dualnumbers #realnumbers

“Now imagine a number?”

“You want an imaginary number?”

“Yes, Imagine it.”

“Okay.”

“No, I’m going to read your mind… hmm… was the number 369.”

“No, the number you gave me is a real number.”

“Yes, but… anyhow. Let me try again… hmm… was it the number 185.”

“No, that one is real too.”

“What does real or imaginary have anything to do with anything? Of course the numbers I give you are real numbers. What number did you pick?”

“10i”

“What?”

“10i. That’s an imaginary number.”

“What’s this ‘i’ thing in it.”

“It’s the square root of -1. That’s what makes it imaginary.”

“That makes no sense. Now, I suppose that you can do 10i + 2, right?”

“Well, yes. That’s a complex number.”

#mathematics #maths #ImaginaryNumbers #RealNumbers #ComplexNumbers #humor

The #Distance Between #Numbers - #Numberphile

https://www.youtube.com/watch?v=Sgupo9DLMGs&ab_channel=Numberphile

#Math #Maths #Mathematics #Numbers #2Adic #2AdicMetric #RationalNumbers #RealNumbers #Limit #Infinity #Converge #Convergence #Diverge #Divergence #RecreationalMaths #RecreationalMathematics #Axiom #Axioms #Axiomatic

A funny design for math enthusiasts, students, teachers and engineers showing the real numbers -1, 2 thirds, square root of 2, pi and the corresponding teal numbers. For people with a sense of humor who love math and enjoy a pun.

➡️ https://geeksta.net/design/real-numbers-teal-numbers/

#Engineer #GeekMerch #GeekMerchandise #MathAficionado #MathEnthusiast #MathGeek #MathNerd #MathPun #MathStudent #MathTeacher #NerdMerch #NerdMerchandise #RealNumbers #TealColor

#Haskell #LinearAlgebra library.
#Graph , #Matrix computations, #RealNumbers.

Github: https://github.com/esapulkkinen/cifl-math-library
Docs: https://esapulkkinen.github.io/cifl-math-library/