Weierstraß's Gap Theorem
Given a succession of nonsingular points which are on a nonhyperelliptic curve of Genus 
,but are not a group of the canonical series, the number of groups of the first 
which cannot constitute the group ofsimple Poles of a Rational Function is . If points next to each other are taken, then the theorembecomes: Given a nonsingular point of a nonhyperelliptic curve of Genus , then the orderswhich it cannot possess as the single pole of a Rational Function are in number.
References
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 290, 1959.
- Genaille Rods
- Genera
- Generalized Cone
- Generalized Cylinder
- Generalized Fibonacci Number
- Generalized Function
- Generalized Helicoid
- Generalized Helix
- Generalized Hyperbolic Functions
- Generalized Hypergeometric Function
- Generalized Matrix Inverse
- Generalized Mean
- Generalized Remainder Method
- General Linear Group
- General Orthogonal Group
- General Position
- General Prismatoid
- General Unitary Group
- Generating Function
- Generation
- Generator (Digitaddition)
- Generator (Group)
- Genetic Algorithm
- Genocchi Number
- Gentle Diagonal