Class: Math::SetTheory::NumberSet

Inherits:
Closure show all
Defined in:
lib/ruuuby/math/set_theory/number_set.rb

Overview

number groupings

Defined Under Namespace

Modules: AlephNumbers

Instance Attribute Summary collapse

Attributes inherited from Closure

#axioms

Instance Method Summary collapse

Constructor Details

#initialize(symbol, cardinality, axioms = {}) ⇒ NumberSet

Returns a new instance of NumberSet.

Parameters:



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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 37

def initialize(symbol, cardinality, axioms={})
  super(axioms)

Instance Attribute Details

#name ⇒ Object (readonly)

Returns the value of attribute name.



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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 14

def name
  @name
end

#symbol ⇒ Object (readonly)

Returns the value of attribute symbol.



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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 14

def symbol
  @symbol
end

#𝔠 ⇒ Object (readonly)

Returns the value of attribute 𝔠.



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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 14

def

Instance Method Details

#countable? ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 153

def countable?; (self.countably_infinite? || self.finite?); end

#countably_infinite? ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 156

def countably_infinite?; @

#finite? ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 150

def finite?; (@

#uncountable? ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 159

def uncountable?; (@

#∋?(n) ⇒ Boolean 

      ___        __   ___  __   __          __      __        ___  __        __
|\/| |__   |\/| |__) |__  |__) /__` |__| | |__)    /  ` |__| |__  /  ` |__/ /__`
|  | |___  |  | |__) |___ |  \ .__/ |  | | |       \__, |  | |___ \__, |  \ .__/

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 53

def

#∌?(n) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 61

def

#⊂?(s) ⇒ Boolean

proper subset?

Parameters:

  • (*)

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 74

def

#⊃?(s) ⇒ Boolean

proper subset?

Parameters:

  • (*)

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 102

def

#⊄?(s) ⇒ Boolean

not subset?

Parameters:

  • (*)

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 141

def

#⊅?(s) ⇒ Boolean

not subset?

Parameters:

  • (*)

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 134

def

#⊆?(s) ⇒ Boolean

subset?

Parameters:

  • (*)

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 88

def

#⊇?(s) ⇒ Boolean

subset?

Parameters:

  • (*)

Returns:

  • (Boolean) 


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# File 'lib/ruuuby/math/set_theory/number_set.rb', line 118

def