affine Definition
- 1related by marriage or a family connection
- 2of or denoting a transformation that preserves collinearity of points
Using affine: Examples
Take a moment to familiarize yourself with how "affine" can be used in various situations through the following examples!
Example
She is my sister-in-law, so we are affine relatives.
Example
The affine transformation of a line segment is another line segment.
Example
Affine geometry studies transformations that preserve parallel lines.
affine Synonyms and Antonyms
Phrases with affine
a geometric space in which all parallel lines are considered to converge at a point at infinity
Example
Affine space is used in projective geometry to represent points at infinity.
affine cipher
a type of monoalphabetic substitution cipher where each letter in the plaintext is mapped to its numeric equivalent, then multiplied by a constant and added to another constant modulo the length of the alphabet
Example
The affine cipher is a simple encryption technique that can be easily broken with frequency analysis.
a geometric object defined by polynomial equations that are invariant under affine transformations
Example
Affine varieties are studied in algebraic geometry to understand the properties of algebraic equations.
Origins of affine
from Latin 'affinis', meaning 'related'
Summary: affine in Brief
The term 'affine' [əˈfaɪn] has two main meanings. The first refers to being related by marriage or family connection, as in 'She is my sister-in-law, so we are affine relatives.' The second meaning is a mathematical one, denoting a transformation that preserves collinearity of points, as in 'The affine transformation of a line segment is another line segment.' Other phrases like 'affine space' and 'affine variety' are used in geometry and algebraic equations. Synonyms include 'related,' 'connected,' and 'allied.'
