coordinates transformation
function from a set having some geometric structure to itself or another such set
isometry
geometric transform (or more generally, function on a metric space or between two metric spaces), which preserves the distances
shear mapping
particular type of mapping in linear algebra, also called transvection
similarity transformation
affine transformation
Lorentz transformation
space-time coordinates transformation that conserves the form of electromagnetism laws
inversion
mathematical operation on Euclidian spaces which reverses distances with respect to a given point
change of basis
change of coordinates for a vector space
affine transformation
automorphism of an affine space
homothetic transformation
a special geometric transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions according to a centric point
geometric motion
isometry of a metric space
correlation
transformation of a d-dimensional projective space that maps subspaces of dimension k to subspaces of dimension d − k − 1, reversing inclusion and preserving incidence
Galilean transformation
transform between the coordinates of two reference frames which differ only by constant relative motion within the constructs of Newtonian physics