[permalink] [id link]
These transformations may also be written as biquaternions ( quaternions with complex elements ), where the elements are related to the Jones matrix in the same way that the Stokes parameters are related to the coherency matrix.
from
Wikipedia
Some Related Sentences
These and transformations
These Euclidean transformations of the plane can all be described in a uniform way by using matrices.
These theories are related by transformations that are called dualities.
These components can be modified and manipulated by two-dimensional geometric transformations such as translation, rotation, scaling.
These transformations are determined by solutions to the Schrödinger equation.
These transformations displace the triangle in the plane without changing the angle at each vertex or the distances between vertices.
These homogeneous transforms perform rigid transformations on the points in the plane z = 1, that is on points with coordinates p =( x, y, 1 ).
These transformations are guaranteed to only linearly increase the size of the formula, but introduce new variables.
These measures were publicly billed as " reforms " rather than socioeconomic transformations.
These elicited experiences may include perceptions of transformations of the patient's arms and legs ( complex somatosensory responses ) and whole-body displacements ( vestibular responses ).
These topographical transformations are often as rapid as they are drastic.
These transformations are capable of locally warping the target image to align with the reference image.
These transformations in the fado production would necessarily drift it apart from improvise, losing some of its original performing contexts diversity and imposing the specialization of interpreters, authors and musicians.
These transformations leave invariant a Hermitian norm of signature ( 2, 2 ).
These trees are then transformed by a sequence of tree rewriting operations (" transformations ") into surface structures.
These transformations may also be local.
These transformations are threefold:
These transformations are examples of affine involutions.
These transformation laws are automorphisms of the state space, that is bijective transformations which preserve some mathematical property.
These relativistic transformations are applicable to all velocities, whilst the Galilean transformation can be regarded as a low-velocity approximation to the Lorentz transformation.
These transformations are threefold:
These transformations preserve angles and map generalized circles into generalized circles, where a generalized circle means either a circle or a line ( loosely speaking, a circle with infinite radius ).
These transformations generate a subgroup, of the planar affine group, called the Lorentz group of the plane.
These transformations have their own special features and allow the player to access areas that were previously inaccessible ; for instance, the walrus can resist the effects of icy-cold water.
These transformations preserve angles, map every straight line to a line or circle, and map every circle to a line or circle.
These and may
These illiterate boors conscripted from villages all across the Czarina's empire had, Suvorov may have told Lewis, just two things a commander could count on: physical fitness and personal courage.
These deductions may not be claimed if you elect to use the Standard Deduction or Tax Table.
These publications may be secured as follows: The Annual Catalog from the Director of Admissions and other issues from the Publications Office.
These minimum costs may come to $1 per month, more or less, for residential and small commercial customers, although they are substantially higher for large industrial users, who require more costly connections and metering devices.
These may be consulted in the office of the Architect of the Capitol, or the Library of Congress.
These tubes may differ both in the choice of the electron optical system and in the design of the coupling members.
These cases, for all their rarity, are so dramatic that friends and relations repeat the story until the general population may get an entirely false notion of how often the hymen is a serious problem to newly-weds.
These regional differences of sensitivity to pain may be of crucial significance during the earliest intercourse.
These tractors are not entirely satisfactory for plowing, particularly on heavier soils, so you may still want to hire someone to do the plowing.
These things may be happening many miles away from us but really they are right next door.
These penetrate the jelly envelope after the eggs are laid and may increase the supply of oxygen to the embryo through photosynthesis.
These regions are presented to the attacking animal and their secretions may be foul-tasting or cause various physical or neurological symptoms.
These provinces may take the form of national churches ( such as in Canada, Uganda, or Japan ) or a collection of nations ( such as the West Indies, Central Africa, or Southeast Asia ).
These single-cell fibers of the sciatic nerve may extend a meter or even longer.
These antibiotics may also be prescribed to patients with a documented allergy to penicillin.
These and most other cities and large towns are now connected with asphalt-paved roads, while smaller towns are often connected by dirt roads, which may require a four-wheel-drive vehicle.
These findings may corroborate the evidence for social behaviour in Albertosaurus, although some or all of the above localities may represent temporary or unnatural aggregations.
These principles may flourish and triumph in the schools ; where it is, indeed, difficult, if not impossible, to refute them.
These may have been multiples of the customary acre, rather than the statute acre.
These unconscious reactions may even be partly constitutive of what makes our judgment a judgment that the landscape is sublime.
These weapons may be mounted on a pintle, affixed directly to the vehicle or placed in a turret or cupola.
Bibas argues, " These procedures may be constitutional and efficient, but they undermine key values served by admissions of guilt in open court.
These narratives may be true and may be false ; the veracity of the stories is not a determining factor.
1.093 seconds.