Geometric Calculator - Glossary
Here are some terms and people who deserve definitions.
- A scalar.
- A vector.
- A bivector.
- A trivector.
- Hestenes' term for a multivector with no scalar part, to emphasise their
- William Kingdon
Clifford. English geometer. 1845-1879. "If he had lived we
might have known something."
- Complex number
- To change in magnitude or
scale, as by multiplying by a scalar. Also written as
- A linear subspace.
- Floating point
- A computer approximation to a real number.
- Geometric product
- Josiah Willard Gibbs. American
mathematical physicist. 1839-1903.
- Hermann Grassmann.
German scholar. 1809-1877.
- Sir William Rowan
Hamilton. Irish mathematical physicist. 1805-1865.
- Oliver Heavisides.
English researcher. 1850-1925.
- David Hestenes.
- Imaginary number
- Inner product
- The value of a scalar, the length of a vector, the area of a bivector, the volume of a trivector, or the sum of all these in
a mixed multivector.
- Outer product
- Real number
- A transformation
which preserves distances and leaves a plane, the plane of
- Unary operation on a multivector which negates those
components which would change sign if their vector factors
were reversed in order. Hence the reversion of
x is x, but the reversion of xy is
- A transformation which
preserves distances and leaves a line, the axis of rotation,
- A real
- A directed volume.
- Having a magnitude of one.
- A directed length.
- Vector cross product
- Vector dot product