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Exterior algebra is the algebra of the wedge product, also called an alternating algebra or Grassmann algebra. The study of exterior algebra is also called Ausdehnungslehre ...

The rules for the multiplication of quaternions.

An operator A^~ such that A^~^2=A^~ or an element of an algebra x such that x^2=x.

An operator of period 2, i.e., an operator * which satisfies ((a)^*)^*=a.

A map which is monotone increasing and therefore order-preserving.

If {f_n} is a sequence of measurable functions, with 0<=f_n<=f_(n+1) for every n, then intlim_(n->infty)f_ndmu=lim_(n->infty)intf_ndmu.

The appropriate notion of integer for surreal numbers.

A simple way to enumerate some types of groups due to J. H. Conway (Zwillinger 1995).

A tensor g whose discriminant satisfies g=g_(11)g_(22)-g_(12)^2>0.

A quantity which transforms like a tensor except for a scalar factor of a Jacobian.