Xah Math Blog Archive 2013-01 to 2013-02
O, math, my true love, but how i have alienated thee, and you being quite difficult.
on a microwave, you press 2 0 0 for 120 seconds, but 1 2 0 for 80 seconds, yet 9 0 for 90 seconds.
can you establish the rules for microwave number system or microwave arithmetic?
linear algebra comics
thx to weizhoupan
Doyle spiral + Mobius transformation
can you identify what function is this?
it looks like a Mobius Transformation. But what's the exact parameters and what's the input image? (assume each ball is just a dot.)
Mobius Transformation is a function of the form
f[z] = (a z + b) / (c z + d) and
a d − b c ≠ 0. The variables are all complex numbers.
For a simple geometric explanation of complex numbers, see: Isometries: Translation, Rotation, Reflection and Mandelbrot Set Explained (no complex number needed).
recursion bonanza: Teacup Recursion Animation
5-Point Conics (needs Java installed.)
Logic Based Human Language: Lojban
Lojban is a constructed language, design based on predicate logic. Some tutorial here, with voice recording: Xah's lojban Tutorial.
Alice in Wonderland, Zero-sum game
“The more there is of mine, the less there is of yours.”
That's the concept of Zero-sum game. However, in real world, most things isn't zero-sum game. Both parties actually benefit. For example, when you give something you no longer want to someone, a value is created “out of nothing”.