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Affine Definition & Meaning - Merriam-Webster
网页The meaning of AFFINE is a relative by marriage : in-law. How to use affine in a sentence.
What is the difference between linear and affine function?
网页2023年6月8日 · An affine function is the composition of a linear function with a translation, so while the linear part fixes the origin, the translation can map it somewhere else. Linear functions between vector spaces preserve the vector space structure (so in particular they must fix the origin).
Affine transformations | Brilliant Math & Science Wiki
网页An affine transformation is a type of geometric transformation which preserves collinearity (if a collection of points sits on a line before the transformation, they all sit on a line afterwards) and the ratios of distances between points on a line.
Affine -- from Wolfram MathWorld
网页2024年8月22日 · An example of an affine property is the average area of a random triangle chosen inside a given triangle (i.e., triangle triangle picking). Because this problem is affine, the ratio of the average area to the original triangle is a constant independent of the actual triangle chosen.
Affine Function -- from Wolfram MathWorld
网页2005年8月22日 · Affine functions represent vector-valued functions of the form f (x_1,...,x_n)=A_1x_1+...+A_nx_n+b. The coefficients can be scalars or dense or sparse matrices. The constant term is a scalar or a column vector.
Affine Transformation -- from Wolfram MathWorld
网页2024年8月22日 · An affine transformation is any transformation that preserves collinearity (i.e., all points lying on a line initially still lie on a line after transformation) and ratios of distances (e.g., the midpoint of a line segment remains the midpoint after transformation).
14.1: Affine transformations - Mathematics LibreTexts
网页A bijection from the Euclidean plane to itself is called affine transformation if it maps lines to lines; that is, the image of any line is a line. So we can say that affine geometry studies the properties of the Euclidean plane preserved under affine transformations.
Affine - definition of affine by The Free Dictionary
网页af·fine. (ə-fīn′) adj. Mathematics. 1. Of or relating to a transformation of coordinates that is equivalent to a linear transformation followed by a translation. 2. Of or relating to the geometry of affine transformations. [French affin, …
affine | Definition and example sentences - Cambridge Dictionary
网页affine | Definition and example sentences. BETA. Examples of affine. Dictionary > Examples of affine. affine isn’t in the Cambridge Dictionary yet. You can help! The …
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