Clust/Binary quadratic forms

Title: Binary quadratic forms

The theory of binary quadratic forms, from the perspective of Conway's topograph.

Page name	Title
Def/Binary quadratic form	Binary quadratic form
Def/Discriminant of a binary quadratic form	Discriminant of a binary quadratic form
Def/Domain topograph	Domain Topograph
Def/Equivalence of binary quadratic forms	Equivalence of binary quadratic forms
State/Every lax basis is contained in exactly two lax superbases	Every lax basis is contained in exactly two lax superbases
Def/Lax basis	Lax basis
Def/Lax superbasis	Lax superbasis
Def/Lax vector	Lax vector
Def/Range topograph	Range topograph

Page name	Title
State/Arithmetic progression rule for binary quadratic forms	Arithmetic progression rule for binary quadratic forms
State/Binary quadratic forms are uniquely determined by their values at a superbasis	Binary quadratic forms are uniquely determined by their values at a superbasis
State/Bounding wells of a given discriminant	Bounding wells of a given discriminant
State/Climbing in topographs	Climbing in topographs
State/Every arc of river is finite	Every arc of river is finite
State/Every lax vector in a lax basis is primitive	Every lax vector in a lax basis is primitive
State/Every primitive lax vector belongs to a lax basis	Every primitive lax vector belongs to a lax basis
State/Existence of wells for definite forms	Existence of wells for definite forms
State/Periodicity along the river	Periodicity along the river
State/Solving quadratic Diophantine equations in two variables	Solving quadratic Diophantine equations in two variables
State/Systems of two linear Diophantine equations	Systems of two linear Diophantine equations
State/The domain topograph has no circuits	The domain topograph has no circuits
State/Values in the range topograph adjacent to a given face form a quadratic sequence	Values in the range topograph adjacent to a given face form a quadratic sequence