Geometric algebra

In linear algebra, a pseudoscalar is a quantity that behaves like a scalar, except that it changes sign under a parity inversion while a true scalar does not.

algebraic structure designed for geometry

thumb|170px|Parallel plane segments with the same orientation and area corresponding to the same bivector .

thumb|Relations between scalars, vectors, simple -vectors, -vectors, and multivectors. Depending on the authors, a "multivector" may be either homogeneous or a mixture of different values of . This graph picks the latter.

method of assigning coordinates to every line in projective 3-space

setting of relativistic physics in geometric algebra

theory of gravitation cast in the mathematical language of geometric algebra