The same principle of `` redundancy '' applies to all communications on these special networks.

In the audience a man named Ferguson lost his head and tried to rescue a little girl from the mob, on the same principle which had led Miss Harris to demand water.

Therefore, the third principle of the plan must be that it does not depend for effectiveness on engagement by the same types, unless at an assured favorable exchange rate.

Most of them, the world over, operate on the same principle by which justice is administered in France and some other Latin countries: the customer is to be considered guilty of abysmal ignorance until proven otherwise, with the burden of proof on the customer himself.

A consequence of using waveforms to describe particles is that it is mathematically impossible to obtain precise values for both the position and momentum of a particle at the same time ; this became known as the uncertainty principle, formulated by Werner Heisenberg in 1926.

Ampère also applied this same principle to magnetism, showing the harmony between his law and French physicist Charles Augustin de Coulomb ’ s law of magnetic action.

His promotion of it was so extensive that he is often credited with its invention, even though a machine operating in the same principle was described in 1762 by Swedish professor Johan Wilcke.

* detachable pickup, often straddling the soundhole and using the same magnetic principle as a traditional electric guitar ; or

His disciple, Cyprian ( Bishop of Carthage 248-58 ) appeals to the same fundamental principle of election to a vacant see in the aftermath of the Decian Persecution when denying the legitimacy of his rigorist rival in Carthage and that of the anti-pope Novatian in Rome ; however, the emphasis is now on legitimating his episcopal ministry as a whole and specifically his exclusive right to administer discipline to the lapsed rather than on the content of what is taught.

Existence is the principle that gives reality to an essence not the same in any way as the existence: " If things having essences are real, and it is not of their essence to be, then the reality of these things must be found in some principle other than ( really distinct from ) their essence.

Other burners based on the same principle exist.

* the equivalence principle, whether or not Einstein's general theory of relativity is the correct theory of gravitation, and if the fundamental laws of physics are the same everywhere in the universe.

By the same principle when the pH is too high, the kidneys excrete bicarbonate ( HCO < sub > 3 </ sub >< sup >-</ sup >) into urine as urea via the Urea Cycle ( aka the Krebs-Henseleit Ornithine Cycle ).

Apparently unaware of Smeaton's work, the same principle was identified by Louis Vicat in the first decade of the nineteenth century.

( The system is not limited to alphabets in the strict technical sense ; languages that use a syllabary or abugida, for example Cherokee, can use the same ordering principle provided there is a set ordering for the symbols used.

Inertial drum brake ascenders used in rock climbing and the inertia reels used in many automobile seat belts operate on the same principle.

The principle is based on the unity of knowledge ; measuring the same result by several different methods should lead to the same answer.

One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes ( or, equivalently, by its perpendicular projection onto three mutually perpendicular lines ).

The same principle is also used for the switch matrix in solid-state pinball machines.

Pope Pius XI, in Quadragesimo Anno, provided the classical statement of the principle: " Just as it is gravely wrong to take from individuals what they can accomplish by their own initiative and industry and give it to the community, so also it is an injustice and at the same time a grave evil and disturbance of right order to assign to a greater and higher association what lesser and subordinate organizations can do.

Also used are external clip-on muffles that work using the same principle.

The competitive exclusion principle states that two species cannot coexist indefinitely by living off the same limiting resource ; one will always outcompete the other.

However, in principle, since the same electronegativities should be obtained for any two bonding compounds, the data is in fact overdetermined, and the signs are unique once a reference point is fixed ( usually, for H or F ).

where the functional form of in the Lagrangian description is not the same as the form of in the Eulerian description.

This same effect is present at the Lagrangian points in the Earth – Moon system, where the analogue of the string is the summed ( or net ) gravitational attraction of the two masses, and the stone is an asteroid or a spacecraft.

Quantum field theory uses this same Lagrangian procedure to determine the equations of motion for quantum fields.

In 2004, Princeton University mathematician Edward Belbruno and astrophysicist J. Richard Gott III proposed that Theia coalesced at the or Lagrangian point relative to Earth ( in about the same orbit and about 60 ° ahead or behind ), similar to a trojan asteroid.

As an illustration, if a physical system behaves the same regardless of how it is oriented in space, its Lagrangian is rotationally symmetric: from this symmetry, Noether's theorem dictates that the angular momentum of the system be conserved, as a consequence of its laws of motion.

As another example, if a physical process exhibits the same outcomes regardless of place or time ( having the same outcome, say, somewhere in Asia on a Tuesday or in America on a Friday ), then its Lagrangian is symmetric under continuous translations in space and time: by Noether's theorem, these symmetries account for the conservation laws of linear momentum and energy within this system, respectively.

The linearised Lagrangian and Eulerian strain tensors are approximately the same and can be approximated by the infinitesimal strain tensor or Cauchy's strain tensor,.

This linearisation implies that the Lagrangian description and the Eulerian description are approximately the same as there is little difference in the material and spatial coordinates of a given material point in the continuum.

The Lagrangian of a given system is not unique, but solving any equivalent Lagrangians will give the same equations of motion.

In fact, any other choice of θ would have exactly the same energy, implying the existence of a massless Nambu – Goldstone boson, the mode running around the circle at the minimum of this potential, and indicating there is some memory of the original symmetry in the Lagrangian.

In physics, if a system behaves the same regardless of how it is oriented in space, then its Lagrangian is rotationally invariant.

: so each Lagrangian L and L describe exactly the same motion.

This equation holds because the Lagrangian is not unique, one can always multiply by a constant and add a total time derivative and yield the same equations of motion

This expression is often used in physics for a gauge transformation of the Lagrangian, as two Lagrangians that differ only by the total time derivative of a function of time and the n generalized coordinates lead to the same equations of motion.

In quantum field theory, an operator valued distribution is a free field if it satisfies some linear partial differential equations such that the corresponding case of the same linear PDEs for a classical field ( i. e. not an operator ) would be the Euler-Lagrange equation for some quadratic Lagrangian.

The two middle terms are also the same, so the Lagrangian density is

As the QED vertices are considered to adequately describe interactions in QED scattering, it make sense to modify only the free-field part of the Lagrangian density so as to obtain such regularized Feynman series that the Lehmann-Symanzik-Zimmermann reduction formula provides a perturbative S-matrix that: ( i ) is Lorentz invariant and unitary ; ( ii ) involves only the QED particles ; ( iii ) depends solely on QED parameters and those introduced by the modification of the Feynman propagators — for particular values of these parameters it is equal to the QED perturbative S-matrix ; and ( iv ) exhibits the same symmetries as the QED perturbative S-matrix.

As the Lexx begins to search for the nearest planet to feed on, it is revealed that Fire and Water were in the Earth's solar system, in the same orbit as Earth but on the opposite side of the Sun in the Lagrangian point and all the souls from the planets are reincarnated there.

It has the same orbital period as Neptune and orbits at the Lagrangian point about 60 degrees ahead of Neptune.