An Etymological Dictionary of Astronomy and Astrophysics
English-French-Persian

1) Of a geometric figure, having a structure analogous or identical to its overall structure. → fractal.
2) The quality of a variable entity in which the shape does not change with time, such as a → self-similar process.

→ self-; → similar.

A process that is invariant in distribution under scaling of time. Schematically, images taken of such a process at different time scales will look similar.

→ self-; → similar; → process.

The property of being → self-similar.

→ self-; → similarity.

1) Geometry: Having the same shape; representing the same figure drawn to different scales (same corresponding angles and proportional sides).
2) Math.: Related by means of a → similarity transformation.

From Fr. similaire, from L. similis "like," → simulate.

Hamânand, contraction of hammânand, from ham-, → com-, + mânand "resembling, like," → simulate.

Two → square matrices A and B that are related by B = X^-1AX, where X is a square → nonsingular matrix.

→ similar; → matrix.

Polygons that are exactly the same shape, but can be different sizes.

→ similar; → polygon.

The state of being similar; likeness; resemblance.

→ similar; → -ity.

1) A transformation that preserves angles and changes all distances in the same ratio.
2) A transformation of the form B = X^-1AX relating two → square matrices A and B.

→ similarity; → transformation.