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Geometric Calculator - Glossary
Here are some terms and people who deserve definitions.
- 0-vector
- A scalar.
- 1-vector
- A vector.
- 2-vector
- A bivector.
- 3-vector
- A trivector.
- Bivector
- Blade
- Hestenes' term for a multivector with no scalar part, to emphasise their directional nature.
- Clifford
- William Kingdon Clifford. English geometer. 1845-1879. "If he had lived we might have known something."
- Complex number
- Conjugation
- Dilation
- To change in magnitude or scale, as by multiplying by a scalar. Also written as dilatation.
- Flat
- A linear subspace.
- Floating point number
- A computer approximation to a real number.
- Geometric product
- Gibbs
- Josiah Willard Gibbs. American mathematical physicist. 1839-1903.
- Grade
- Grassmann
- Hermann Grassmann. German scholar. 1809-1877.
- Hamilton
- Sir William Rowan Hamilton. Irish mathematical physicist. 1805-1865.
- Heavisides
- Oliver Heavisides. English researcher. 1850-1925.
- Hestenes
- David Hestenes.
- Imaginary number
- Inner product
- Magnitude
- 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.
- Multiblade
- Multivector
- Outer product
- Pseudoscalar
- Quaternion
- Real number
- Reflection
- A transformation which preserves distances and leaves a plane, the plane of reflection, unchanged.
- Reversion
- 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 -xy.
- Rotation
- A transformation which preserves distances and leaves a line, the axis of rotation, unchanged.
- Scalar
- A real
number.
- Translation
- Trivector
- A directed volume.
- Unitary
- Having a magnitude of one.
- Vector
- A directed length.
- Vector cross product
- Vector dot product