Template:Number systems: Difference between revisions

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Latest revision as of 21:09, 10 March 2025

Number systems

Sets of definable numbers	* Natural numbers ( $ℕ$ ) Integers ( $ℤ$ ) Rational numbers ( $ℚ$ ) Constructible numbers Algebraic numbers ( $𝔸$ ) Closed-form numbers Periods ( $𝒫$ ) Computable numbers Arithmetical numbers Set-theoretically definable numbers Gaussian integers Gaussian rationals Eisenstein integers
Composition algebras	* Division algebras: Real numbers ( $ℝ$ ) Complex numbers ( $ℂ$ ) Quaternions ( $ℍ$ ) Octonions ( $𝕆$ )
Split types	* Over $ℝ$ : Split-complex numbers Split-quaternions Split-octonions Over $ℂ$ : Bicomplex numbers Biquaternions Bioctonions
Other hypercomplex	* Dual numbers Dual quaternions Dual-complex numbers Hyperbolic quaternions Sedenions ( $𝕊$ ) Trigintaduonions ( $𝕋$ ) Split-biquaternions Multicomplex numbers Geometric algebra/Clifford algebra Algebra of physical space Spacetime algebra Plane-based geometric algebra
Infinities and infinitesimals	* Cardinal numbers Extended natural numbers Extended real numbers Projective Extended complex numbers Hyperreal numbers Levi-Civita field Ordinal numbers Supernatural numbers Surreal numbers Superreal numbers

* Classification

List

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