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The scalar triple product of three vectors A, B, and C is denoted [A,B,C] and defined by [A,B,C] = A·(BxC) (1) = B·(CxA) (2) = C·(AxB) (3) = det(ABC) (4) = |A_1 A_2 A_3; B_1 ...

The idea of a velocity vector comes from classical physics. By representing the position and motion of a single particle using vectors, the equations for motion are simpler ...

For operators A^~ and B^~, the anticommutator is defined by {A^~,B^~}=A^~B^~+B^~A^~.

The group of classes of finite dimensional central simple algebras over k with respect to a certain equivalence.

A type of maximal Abelian subgroup.

max_(a<=x<=b){|f(x)-rho(x)|w(x)}.

A metric characterizing the difference between two knots K and K^' in S^3.

A curve and its polar reciprocal with regard to the fixed conic have the same Halphen transformation.

A group having an infinite number of elements. Some infinite groups, such as the integers or rationals, are not continuous groups.

The function K_n(x_0,x)=K_n(x,x_0)^_=K_n(x^_,x^__0) which is useful in the study of many polynomials.