Class: Math::SetTheory::BooleanNumbers

Inherits:

NumberSet

• Object
• Closure
• NumberSet
• Math::SetTheory::BooleanNumbers

Includes:

Singleton

Defined in:

lib/ruuuby/math/set_theory/discrete/boolean_numbers.rb

Instance Attribute Summary

Attributes inherited from NumberSet

#name, #symbol, #𝔠

Attributes inherited from Closure

#axioms

Instance Method Summary

• #_∋?(n) ⇒ Boolean

  True, if this number is equivalent to 0 or 1 (all numbers in the boolean-domain+𝔹+).

• #initialize ⇒ BooleanNumbers constructor

  A new instance of BooleanNumbers.

Methods inherited from NumberSet

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

Constructor Details

#initialize ⇒ BooleanNumbers

Returns a new instance of BooleanNumbers.

# File 'lib/ruuuby/math/set_theory/discrete/boolean_numbers.rb', line 10

def initialize
  super(:𝔹, 2)
  @subset_of = [:𝕌, :𝔸ᵣ, :𝔸, :ℝ, :ℂ, :ℚ, :ℤ, :𝕎]
end

Instance Method Details

#_∋?(n) ⇒ Boolean

Returns true, if this number is equivalent to 0 or 1 (all numbers in the boolean-domain+𝔹+).

Parameters:

• n (Numeric)

Returns:

• (Boolean) —

  true, if this number is equivalent to 0 or 1 (all numbers in the boolean-domain+𝔹+)

# File 'lib/ruuuby/math/set_theory/discrete/boolean_numbers.rb', line 18

def _∋?(n); n.zero? || n.one?; end