When is the indicator function of a given shape, this is the same as the axiality.

Axiality and symmetry govern all parts of the Campidoglio.

A travelling microscope may be necessary, if the specimen is thin, to ensure perfect axiality of loading.

The frontality of Egyptian art is a direct result of this axiality."

Other definitions of axiality and rhombicity differ from the ones given above by constant factors which depend on the context.

Axiality has been ensured, and care has been taken to reduce the effects of vibration.

The best upper bound known is given by a particular convex quadrilateral, found through a computer search, whose axiality is less than 0.816.

For an arbitrary shape, the axiality of the shape measures how close it is to being bilaterally symmetric.

In the geometry of the Euclidean plane, axiality is a measure of how much axial symmetry a shape has.

Winding more or less concentrically through the complex, circulation negates the axiality and generalized symmetry that organize the plan.

Axiality may refer to:

The linear axiality of Hatshepsut's temple is mirrored in the later New Kingdom temples.

This principle, axiality, he defines as "the principle of free-moving order, liminality, and precarious, spontaneous configuration."

It is also possible to construct a sequence of centrally symmetric parallelograms whose axiality has the same limit, again showing that the lower bound is tight.

Defining Hamiltonian rotations in this way (axiality, rhombicity, three angles) significantly simplifies calculations, since the properties of Wigner functions are well understood.

The two equipment sheds made of rammed earth pick up the axiality of the neoclassical gym of 1932 and frame the space between it and the sports grounds.

In physics and mathematics, axiality and rhombicity are two characteristics of a symmetric second-rank tensor in three-dimensional Euclidean space, describing its directional asymmetry.

This Church of Saint Saviour was in the manner of English parish churches with a bold square western tower and a simple axiality complimenting the Georgian town plan.

For example, when using them as parameters in the irreducible spherical tensor expansion, it is most convenient to divide the above definition of axiality by and that of rhombicity by .

His vision of the city was formed in the application of Beaux-Arts design principles of axiality and the incorporation of monumental public buildings as civic markers, coupled with a systematic ordering of functions for efficiency.

In the set of obtuse triangles whose vertices have -coordinates , , and , the axiality approaches in the limit as the -coordinates approach zero, showing that the lower bound is as large as possible.

For triangles and for centrally symmetric convex bodies, the axiality is always somewhat higher: every triangle, and every centrally symmetric convex body, has axiality at least .

One enters on axis with the dining table beyond, but the axiality is undermined by the asymmetry of a screen of wooden poles and a free-standing, angled wall which together define an informal ante-room between the living room and dining room.

The axiality of a given convex shape can be approximated arbitrarily closely in sublinear time, given access to the shape by oracles for finding an extreme point in a given direction and for finding the intersection of the shape with a line.

A shape that is itself axially symmetric, such as an isosceles triangle, will have an axiality of exactly one, whereas an asymmetric shape, such as a scalene triangle, will have axiality less than one.