neocity/math-notation.jade

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extends templates/main.jade
block head
include templates/katex.jade
block title
| Math Notation | xigoi
block content
h1 Math Notation
h2 Square root
p \(\sqrt{\text{This is how you write a square root.}}\)
p \(\sqrt{\text{It has no hook at the end.}}\)
h2 Tau
p
a(href="https://tauday.com/tau-manifesto") \(\tau\) is good.
| Use it.
h2 Function exponentiation
p Bijective functions form a group with composition \(\circ\) as the group operation. So logically, function exponention means repeated application. It can also be used for regular functions, even though they don't form a group. So \(\sin^2(x)\) means \(\sin(\sin(x))\), not \(\sin(x)^2\).
h2 Factorial of a real number
p There's no reason why the notation \(x!\) couldn't be used for the factorial of a real number, which many people awkwardly write as \(\Gamma(x + 1)\).