Field

A field is any set of elements which satisfies the Field Axioms for both addition and multiplication and is a commutativeDivision Algebra. An archaic name for a field is Rational Domain. A field with a finite number of members isknown as a Finite Field or Galois Field.

Because the identity condition must be different for addition and multiplication, every field must have atleast two elements. Examples include the Complex Numbers (), RationalNumbers (), and Real Numbers (), but not theIntegers (), which form a Hilbert andWeierstraß that all generalizations of the field concept to triplets of elements areequivalent to the field of Complex Numbers.

• Liouville Polynomial Identity
• Liouville-Roth Constant
• Liouville's Boundedness Theorem
• Liouville's Conformality Theorem
• Liouville's Conic Theorem
• Liouville's Constant
• Liouville's Elliptic Function Theorem
• Liouville Space
• Liouville's Phase Space Theorem
• Liouville's Rational Approximation Theorem
• Liouville's Sphere-Preserving Theorem
• Lipschitz Condition
• Lipschitz Function
• Lipschitz's Integral
• Lissajous Curve
• Lissajous Figure
• List
• Lituus
• Lituus Inverse Curve
• LLL Algorithm
• Ln
• Lobachevsky-Bolyai-Gauss Geometry
• Lobachevsky's Formula
• Lobatto Quadrature
• Lobster