The SlugMath Wiki is under heavy development!
Clust/Binary quadratic forms
Title: Binary quadratic forms
The theory of binary quadratic forms, from the perspective of Conway's topograph.
|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|
|Struct/The binary quadratic form x^2 + xy - 2y^2||The binary quadratic form x^2 + xy - 2y^2|
Below, you should see a graph of the definitions and statements, and the deductive reliances among them. This graph may be too small to read as displayed below. Until a zoomable svg applet is installed, you can try one of the following (in Firefox):
- Right-click on the graph, and click on "This Frame", then "Show only this frame".
- Right-click on the graph, and click on "This Frame", then "View frame source".
The "frame source" is the SVG (scalable vector graphics) file, which can then be saved, and viewed and edited using many software utilities, such as Inkscape.