Examples of 'affine' in a sentence
Meaning of "affine"
affine (adjective) - relating or denoting a transformation that preserves collinearity and ratios of distances between points
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- Assigning finite values to finite quantities.
- Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
- Of two materials, having mutual affinity.
- A relative by marriage.
How to use "affine" in a sentence
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affine
Affine invariants can also assist calculations.
The base change of an affine morphism is affine.
An affine space of dimension one is an affine line.
This interpolation may be affine or perspective correct.
An affine space of positive dimension is not complete.
Every linear space is also an affine space.
The affine transform preserves parallel lines.
Point reflection can be classified as an affine transformation.
A translation is an affine transformation with no fixed points.
Affine transformations over the real numbers.
A similarity is an affine transformation which preserves angles.
They are subgroups of double affine braid groups.
An affine connection defines a notion of development of curves.
The group of all bijective affine transformations.
A simple affine transformation on the real plane.
See also
This class of varieties includes affine varieties.
Every complex affine space is a domain of holomorphy.
We have specifically studied monotone affine subspaces.
Perform a simple affine transformation called a translation.
An important example is provided by affine connections.
An affine transformation is a linear transformation followed by a translation.
Parallelism is an equivalence relation on the lines of an affine plane.
An affine invariant interest point detector.
Hence shape is an invariant of affine geometry.
Affine logic predated linear logic.
These transformations are examples of affine involutions.
The affine maps in a vector space.
Finite morphisms are both projective and affine.
Affine monoids are finitely generated.
There are many finite and infinite affine planes.
Affine transformation over a finite field.
Optimal sequence alignment using affine gap costs.
Adjustment of affine equations in equilibrium analysis.
Such functions are called separately affine.
Simple affine shifting by choosing two reference subtitles.
The curve β is uniquely determined up to a special affine transformation.
A piecewise affine approach to nonlinear performance.
These matches are equivalent to affine relations.
Affine processes and applications in finance.
Let and be points in an affine space.
Take the affine scheme as an example.
Such a function may be an affine function.
Because the affine transformations are spatially.
This reversal is followed by an affine transformation.
A higher affine trapping molecule is preferred.
A parameter which satisfies this condition is said to be affine.
Showing that the variation of an affine connection is a tensor.
Affine geometry can be developed on the basis of linear algebra.
The connections referred to above are linear or affine connections.
It is able to find an affine transform and achieves subpixel accuracy.
