affine

The number n is called the order of the affine plane.

They are also useful for the study of affine curves.

This is similar to the above example, as the elements are again affine maps.

There are several different systems of axioms for affine space.

A': For any point the residue is an affine plane.

A translation is an affine transformation with no fixed points.

In mathematics, affine geometry is the study of parallel lines.

In an affine plane, the normal sense of parallel lines applies.

In an affine plane the parallel relation between lines is essential.

The affine hull of a set of two different points is the line through them.

An affine space of positive dimension is not complete.

The affine plane of order 3 is known as the Hesse configuration.

For the classical model the residue at point is the underlying real affine plane.

Classification of affine crystallographic groups is a difficult problem, far from being solved.

Affine arithmetic can be viewed in matrix form as follows.

Point reflection can be classified as an affine transformation.

However, this approach does not explain the geometry behind affine connections nor how they acquired their name.

Affine functions (the function is an example) do not scale multiplicatively.

Affine geometry can be developed on the basis of linear algebra.

It is a piecewise-defined function whose pieces are affine functions.

In the second case, the tangent space is that line, considered as affine space.

When parallel lines are taken as primary, synthesis produces affine geometry.

For other values of this falls in the more general class of affine maps.

In affine d-space, two flats of any dimension may be parallel.

Similarly, starting from an affine space A, every class of parallel lines can be associated with a point at infinity.

They are affines, allied to us by marriage.

In particular, it is possible to test the property of being étale on open affines .

Fans, in other words, are "affines" of media property and of other fans.

By contrast, non-kin and affines are presumed to be enemies until they are shown to be friends!

Affines preserve the geodesic structure of the semi Riem.

"But I have no affinity for affines; I don't even understand Haertel yet.

In Access to Origins: Affines, Ancestors, and Aristocrats.

It is occupied by the matakeinanga, the local group composed of the residential core of a major lineage, plus affines and other permissive members.

Over its history, anthropology has developed a number of related concepts and terms, such as descent, descent groups, lineages, affines, cognates and even fictive kinship.

Since the early 19th century, Western scholars have proposed various language families or subfamilies as the affines of the language of the Xiongnu.

Affines also preserve the Riemann, Ricci and Weyl tensors, i.e.

And he surely called on his affines - his mother's people, his sister's husbands, his wife's brothers - for aid in a crisis if they were near to hand.

The set of all affines on forms a Lie subalgebra of denoted by (the affine algebra) and satisfies for connected M, .

This is analogous to the notion of manifolds being coverable by open subsets isomorphic to euclidean space, or schemes being coverable by affines.

On the one hand, exogenous marriages (for example cross-cousin marriage, i.e. mother's brother's daughter) can strengthen alliances - that is, help build a network of affines, and perhaps bring a prestigious maternal uncle into the lineage.

The gift offered to Ayya Vaikundar was called 'Churul', a word that denoted the gift exchanged between consanguinous relatives during marriage functions by way of introducing the kith and kin to the affines.

Then soon afterwards a group of Southern Aché and their affines and associates left Cerro Moroti to found a new colony near the traditional home range of the Ypety Aché.

The agnatic/casato view is the vertical chain of fathers to sons (the patriliny/lignaggio), and the contrary cognatic/ parentado view is based on the horizontal chain which includes affines, cognates, and the kin created through women.

What success he had depended at least in part on the willingness and vigour with which the women supported his pleas for help: without their backing his affines could well say they had no greater obligation to him than to his enemies, and refuse to help.

Most landowners were Zuwaya or their assignees: people who were not Zuwaya and who owned land were (Zuwaya said) either clients or descendants of Zuwaya slaves, or affines incorporated into the Zuwaya genealogy.

Because social anthropologists take it for granted (sometimes mistakenly) that the distinction between true-kin and affines is of absolutely central importance they expect to find that the behaviour that is appropriate between affines will be a kind of coded inversion of the behaviour that is appropriate between true-kin.