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What is an affine combination?
An affine combination is a linear combination of vectors in Euclidian space in which the coefficients add up to one.
Who invented affine space in linear algebra?
Euler introduced the term affine (Latin affinis, "related") in 1748 in his book "Introductio in analysin infinitorum." Felix Klein's Erlangen program recognized affine geometry as a generalization of Euclidean geometry.
What kind of plane has 3 points?
Every plane has 3 or more. There is a projective (or affine) plane with only 3 points.
Can a plane consist of an infinite set of points?
In ordinary geometry (as opposed to affine geometry), a plane MUST consist of an infinite set of points.
How many lines can be in a geometric plane?
An infinite number in a Euclidean plane - which is the "normmal" plane. Some selected numbers in the finite or affine planes (but you need to be studying projective geometry to come across these).
What is an affine group?
An affine group is the group of all affine transformations of a finite-dimensional vector space.
What is an affine space?
An affine space is a vector space with no origin.
When was Pyropteron affine created?
Pyropteron affine was created in 1856.
When was Stylidium affine created?
Stylidium affine was created in 1845.
When was Agonum affine created?
Agonum affine was created in 1837.
When was Medicorophium affine created?
Medicorophium affine was created in 1859.
What is an affine transformation?
An affine transformation is a linear transformation between vector spaces, followed by a translation.
What is an affine combination?
An affine combination is a linear combination of vectors in Euclidian space in which the coefficients add up to one.
Who invented affine space in linear algebra?
Euler introduced the term affine (Latin affinis, "related") in 1748 in his book "Introductio in analysin infinitorum." Felix Klein's Erlangen program recognized affine geometry as a generalization of Euclidean geometry.
What has the author M J Kallaher written?
M. J. Kallaher has written: 'Affine planes with transitive collineation groups' -- subject(s): Affine Geometry, Collineation
What is an affine variety?
An affine variety is a set of points in n-dimensional space which satisfy a set of equations which have a polynomial of n variables on one side and a zero on the other side.
What is an affine connection?
In the branch of mathematics called differential geometry, an affine connection is a geometrical object on a smooth manifold which connects nearby tangent spaces, and so permits tangent vector fields to be differentiated as if they were functions on the manifold with values in a fixed vector space.
