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The binary quadratic form F=<a,b,c> is said to be reduced if the following conditions hold. Let D=b^2-4ac be the discriminant, then 1. If D is negative, F is reduced if ...

The determinant of a binary quadratic form Au^2+2Buv+Cv^2 is defined as D=AC-B^2. It is equal to 1/4 of the corresponding binary quadratic form discriminant. Unfortunately, ...

The discriminant of a binary quadratic form au^2+buv+cv^2 is defined by d=4ac-b^2. It is equal to four times the corresponding binary quadratic form determinant. ...

A Tschirnhausen transformation can be used to algebraically transform a general quintic equation to the form z^5+c_1z+c_0=0. (1) In practice, the general quintic is first ...

A point at which two polygon edges of a polygon meet.

A point at which three or more polyhedron edges of a polyhedron meet. The concept can also be generalized to a polytope.

A homogeneous polynomial in two or more variables.

A clear-cut way of describing every object in a class in a one-to-one manner.

A one-dimensional geometric object such as a pencil or line segment range.

A 1-form omega=sum_(i=1)^na_i(x)dx_i such that omega=0.