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AngouriMath.Entity.Set.SpecialSet

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Classes within the AngouriMath.Entity.Set.SpecialSet namespace

• Booleans

  Summary

  A set of all booleans
  

• Complexes

  Summary

  A set of all complex numbers
  

• Integers

  Summary

  A set of all integers
  

• NonNegativeIntegers

  Summary

  The set of all non-negative integers, {0, 1, 2, ...}, written ZZ*.
  There is no set called "the natural numbers" here, because the name means
  this set to some authors and PositiveIntegers to others
  (MathWorld recommends these two names over "natural number" for that reason,
  https://mathworld.wolfram.com/N.html). A subset of Integers, and
  like every special set a Domain a node can be declared over:
  domain(x, ZZ*) is NaN at a negative integer.
  https://github.com/asc-community/AngouriMath/issues/1409
  

• PositiveIntegers

  Summary

  The set of all positive integers, {1, 2, 3, ...}, written ZZ+.
  See NonNegativeIntegers for why neither is called the natural
  numbers. A subset of Integers and the DomainPositiveInteger.
  https://github.com/asc-community/AngouriMath/issues/1409
  

• Primes

  Summary

  The set of all prime numbers, {2, 3, 5, 7, ...}, written PP (\mathbb{P}, SymPy's S.Primes). A subset of
  PositiveIntegers and the DomainPrime. Membership is decided for a whole number that fits
  a machine word, by trial division, and left open beyond that rather than
  answered slowly or wrongly. https://github.com/asc-community/AngouriMath/issues/1450
  

• Rationals

  Summary

  A set of all rational numbers
  

• Reals

  Summary

  A set of all real numbers