affine
Adjective:
- (Anthropology) Related by marriage: Describes a connection or relationship established through marriage rather than by blood.
- (Mathematics) Of or pertaining to the geometry of affine transformations: Describes properties or transformations in geometry that preserve parallel lines and ratios of distances along parallel lines, but not necessarily absolute distances or angles.
Noun:
- (Anthropology) Kin by marriage: A relative connected through marriage, such as a brother-in-law or mother-in-law.
Adjective (Anthropology):
- In many cultures, affine relatives have specific social roles and obligations.
- Her affine connections were as important as her consanguineal ones in the family network.
Adjective (Mathematics):
- The study of affine geometry focuses on properties invariant under parallel projection.
- An affine transformation can map any triangle to any other triangle.
Noun (Anthropology):
- He considered not only his blood relatives but also his affines when making the decision.
- The ceremony was attended by both consanguineal and affine kin.
"Affine space": A mathematical structure that generalizes the properties of Euclidean space without a fixed point of origin. It is a set of points with a vector space acting on it.
- In an affine space, you can subtract points to get vectors, but there is no natural way to add two points.
"Affine combination": In mathematics, a linear combination of points where the coefficients sum to 1.
- The centroid of a triangle is an affine combination of its vertices.
Affinity (n): A close connection, relationship, or attraction. In anthropology, it specifically refers to a relationship by marriage.
- There was an immediate affinity between the two artists.
- The law of affinity governs marriages between certain relatives.
Affinely (adv): In a manner relating to or by means of affine transformations.
- The shapes are affinely equivalent.
- Adjective (Anthropology): Connubial, marital.
- Noun (Anthropology): In-law, relative by marriage.
- Adjective (Mathematics): (No direct common synonym; described as pertaining to linear transformations preserving parallelism).
"Affine transformation": A geometric transformation that preserves collinearity and ratios of distances. It includes operations like translation, scaling, and rotation.
- The computer graphic applied an affine transformation to skew the image.
"Affine cipher": In cryptography, a type of monoalphabetic substitution cipher that uses a mathematical affine function to encrypt letters.
- The affine cipher is a simple encryption technique.
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(anthropology) related by marriage
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(mathematics) of or pertaining to the geometry of affine transformations
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(anthropology) kin by marriage
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