The control systems include actuators, which exert forces in various directions, and generate rotational forces or moments about the aerodynamic center of the aircraft, and thus rotate the aircraft in pitch, roll, or yaw.

The absorption and emission crossections of the ions can be modeled as ellipsoids with the major axes aligned at random in all directions in different glass sites.

By inclining the axes of the two spheres with respect to each other, and rotating them in opposite directions but with equal periods, Eudoxus could make a point on the inner sphere trace out a figure-eight shape, or hippopede.

The directions of the principal axes of the ellipsoids are given by the eigenvectors of the covariance matrix Σ.

While measuring the spin of these entangled particles along parallel axes will always result in opposite ( i. e., perfectly anticorrelated ) results, measurement at perpendicular directions will have a 50 % chance of matching ( i. e., will have a 50 % probability of an uncorrelated result ).

If the linear transformation is represented by a symmetric 3-by-3 matrix, then the eigenvectors of the matrix are orthogonal ( due to the spectral theorem ) and represent the directions of the axes of the ellipsoid: the lengths of the semiaxes are given by the eigenvalues.

The directions x, y and z are in this case known as the principal axes of the medium.

Note that these axes will be orthogonal if all entries in the χ tensor are real, corresponding to a case in which the refractive index is real in all directions.

Figure 2: Anatomical directions and defined axes in a vertebrate

Axonometric pictorials show an image of an object as viewed from a skew direction in order to reveal all three directions ( axes ) of space in a single picture.

If you ignore the effects of gravity, then there are ten basic ways of doing such shifts: translation through time, translation through any of the three dimensions of space, rotation ( by a fixed angle ) around any of the three spatial axes, or a boost in any of the three spatial directions.

Anatomical directions and axes

It only has reflections in horizontal and vertical directions, not across diagonal axes.

There are additional glide reflections in six distinct directions, whose axes are located halfway between adjacent parallel reflection axes.

If the crystals of both minerals are well formed so that the directions of the crystallographic axes are clear then the epitaxic relationship can be deduced just by a visual inspection.

In epitaxy these directions tend to line up with each other, resulting in the a axis of the rutile overgrowth being parallel to the c axis of hematite, and the c axis of rutile being parallel to one of the an axes of hematite.

Pictorials show an image of an object as viewed from a skew direction in order to reveal all three directions ( axes ) of space in one picture.

Pictorials show an image of an object as viewed from a skew direction in order to reveal all three directions ( axes ) of space in one picture.

In a crystal lattice, certain crystallographic directions are preferred directions, or easy axes, for the magnetization ; the crystal is easier to magnetize in these directions and requires more energy to magnetize in other directions.

The easy directions are projected onto three axes in the basal plane.

An inertial navigation system, used in submarines, ships, aircraft, and other vehicles to keep track of position, determines directions with respect to three axes pointing ' north ', ' east ', and ' down '.

For this reason, he says, the density of the universe always remains the same even though the galaxies are zooming away in all directions.

The obscure mechanism of cosmic ray production at galactic distances is partly a result of the fact that ( unlike other radiations ) magnetic fields in our galaxy and other galaxies bend cosmic ray direction severely, so that they arrive nearly randomly from all directions, hiding any clue of the direction of their initial sources.

The cosmological principle is consistent with the observed isotropy of: ( i ) the celestial distribution of radio galaxies, which are randomly distributed across the entire sky, ( ii ) the large scale spatial distribution of galaxies, which form a randomly tangled web of clusters and voids up to around 400 megaparsecs in width, ( iii ) the isotropic distribution of observed red shift in the spectra of distant galaxies, which implies a uniform expansion of space or Hubble flow in all directions, and ( iv ) the cosmic microwave background radiation, the relic radiation released by the expansion and cooling of the early universe, which is constant in all directions to within 1 part in 100, 000.

Recent results from the Pierre Auger Observatory show that ultra-high-energy cosmic ray arrival directions appear to be correlated with extragalactic supermassive black holes at the center of nearby galaxies called active galactic nuclei ( AGN ).

The annual spring meeting has given an impetus in three main directions: more, deeper, and more timely political consultation within the alliance, the use of the Organization for Economic Cooperation and Development ( when ratified ) as a method of coordinating aid to the underdeveloped countries, and the need for strengthening conventional forces as well as the maintenance of the nuclear deterrent.

The mobile charged particles within a conductor move constantly in random directions, like the particles of a gas.

Although the Cairo metropolis extends away from the Nile in all directions, the city of Cairo resides only on the east bank of the river and two islands within it on a total area of.

Recent trends to greater appreciation of egoism within anarchism tend to come from less classical directions such as post-left anarchy or Situationism ( e. g. Raoul Vaneigem ).

X-ray crystallography is a method of determining the arrangement of atoms within a crystal, in which a beam of X-rays strikes a crystal and causes the beam of light to spread into many specific directions.

The attitude control rocket motors for satellites and space probes are often very small, an inch or so in diameter, and mounted in groups that point in four directions ( within a plane ).

Photons are emitted spontaneously in all directions, but a proportion of those will be emitted in a direction that falls within the numerical aperture of the fiber and are thus captured and guided by the fiber.

It may be shown by electromagnetic theory, by quantum theory, or by thermodynamics, making no assumptions as to the nature of the radiation, that the pressure against a surface exposed in a space traversed by radiation uniformly in all directions is equal to one third of the total radiant energy per unit volume within that space.

Costello took the opportunity to reconfirm his beliefs in Catholicism on 12 April 1951, in his speech on Dr. Browne's resignation: " I have no hesitation in saying that we, as a Government, representing a people, the overwhelming majority of whom are of the one faith, who have a special position in the Constitution, when we are given advice or warnings by the authoritative people in the Catholic Church, on matters strictly confined to faith and morals, so long as I am here — and I am sure I speak for my colleagues — will give to their directions, given within that scope — and I have no doubt that they do not desire in the slightest to go one fraction of an inch outside the sphere of faith and morals — our complete obedience and allegiance.

* The field lines within the axis of the coil exert a radial force on each turn of the windings, tending to push them outward in all directions.

The town of Zinc has no state highways nor U. S. Federal Routes which passes through nor nearby within a few miles in all directions, however, two well known county roads do travel into and near the town.

A local newspaper, The Cle Elum Echo reported, " The city of Roslyn is situated on land directly over the tunnel of Mine No. 4, and the shock caused by the explosion was not unlike an earthquake, shaking buildings in all parts of the city, while the burning, oil soaked timbers, vomited out of the shaft, were scattered in all directions, falling upon shingled roofs and causing over twenty roof fires, which were controlled by bucket brigades, all the city water and the fire department being concentrated upon the shaft and abutting frame structures, in spite of this all frame structures within two hundred feet of the shaft and tipple No. 4 were entirely destroyed.

The performance directions state that the musical ensemble should try to stay within two to three phrases of each other.

Paul Charles Michaelis working with permalloy magnetic thin films discovered that it was possible to propagate magnetic domains in orthogonal directions within the film.

His series The Airtight Garage is particularly notable for its non-linear plot, where movement and temporality can be traced in multiple directions depending on the readers own interpretation even within a single planche ( page ).

Two runs are required in opposite directions within one hour, and a new record mark must exceed the previous one by one percent to be validated.

Different clubs had different standards and did not always recognise the same world records until 1924, when the Association Internationale des Automobile Clubs Reconnus ( AIACR ) introduced new regulations: two passes in opposite directions ( to negate the effects of wind ) averaged with a maximum of 30 minutes ( later more ) between runs, average gradient of the racing surface not more than 1 percent, timing gear accurate within 0. 01sec, and cars must be wheel-driven.

In contrast to earlier classical or medieval cosmologies, in which Earth rested at the center of Universe, Newton conceptualized the earth as a sphere in orbital motion around the sun within an empty space that extended uniformly in all directions to immeasurably large distances.

Mayapan is 4. 2 square kilometers and has over 4000 structures most of them residences, are packed into this compound within the city walls, while built-up areas extend a half kilometer beyond the city walls in all directions.

* on the Chiswick Flyover within London in both directions.

The road which runs in 3 lanes in both directions, is part of the London Inner Ring Road and as such forms part of the boundary of the zone within which the London congestion charge applies.

In essence, a projective geometry may be thought of as an extension of Euclidean geometry in which the " direction " of each line is subsumed within the line as an extra " point ", and in which a " horizon " of directions corresponding to coplanar lines is regarded as a " line ".