Class: Math::GroupTheory::CircleGroup

Inherits:

SetTheory::NumberSet

• Object
• SetTheory::Closure
• SetTheory::NumberSet
• Math::GroupTheory::CircleGroup

Includes:

Singleton

Defined in:

lib/ruuuby/math/group_theory/circle_group.rb

Overview

@see: en.wikipedia.org/wiki/Circle_group

𝕋 = { z ∈ ℂ : |z| = 1 }

• “the ‘multiplicative group` of all `complex numbers` with absolute value 1”

• the ‘unit circle` in the `complex plane`

Instance Attribute Summary

Attributes inherited from SetTheory::NumberSet

#name, #symbol, #𝔠

Attributes inherited from SetTheory::Closure

#axioms

Instance Method Summary

• #initialize ⇒ CircleGroup constructor

  A new instance of CircleGroup.

Methods inherited from SetTheory::NumberSet

#countable?, #countably_infinite?, #finite?, #uncountable?, #∋?, #∌?, #⊂?, #⊃?, #⊄?, #⊅?, #⊆?, #⊇?

Constructor Details

#initialize ⇒ CircleGroup

Returns a new instance of CircleGroup.

# File 'lib/ruuuby/math/group_theory/circle_group.rb', line 17

def initialize
  super(: