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Using the principle of equivalence, Einstein concluded that the same thing holds in any gravitational field, that the rate of clocks R at different heights was altered according to the gravitational field g. When g is slowly varying, it gives the fractional rate of change of the ticking rate.
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Using and principle
" Using this legal principle, many judges in Britain and the United States had voided, as an infringement of an individual's property rights, legislation that regulated common law bargains made in the marketplace between employers and their workers.
Using these modelling techniques, Malthus ' population principle of growth was later transformed into a model known as the logistic equation:
Using the equivalence principle, this tensor is readily generalized to curved space-time.
Using Huygens ' theory and the principle of superposition of waves, the complex amplitude at a further point P is found by summing the contributions from each point on the sphere of radius r < sub > 0 </ sub >.
) Using the customary international law principle of a nation's right to protect its natural resources, President Truman in 1945 extended United States control to all the natural resources of its continental shelf.
Using Le Chatelier's principle, we can predict that the amount of methanol will increase, decreasing the total change in CO.
The technology gained further public attention when a company announced in early 2008 that they were close to fielding a device called MEDUSA ( Mob Excess Deterrent Using Silent Audio ) based on the principle.
Using the Heisenberg uncertainty principle for position and momentum, the products of uncertainty in position and momentum become zero as ħ → 0:
Using the newly created cyclotron as a mass spectrometer, Lawrence and his colleagues developed the principle behind the electromagnetic enrichment of uranium, which was put to use in the calutrons ( named after the university ) at the massive Y-12 facility in Oak Ridge, Tennessee.
Using algebra, we may write this principle as an algebraic identity:
Using his newly-developed electromagnetic principle, Henry in 1831 created one of the first machines to use electromagnetism for motion.
Using the principle of locality, in a famous paper he and his co-authors articulated the Einstein-Podolsky-Rosen Paradox which showed that position and momentum were simultaneous " real " physical properties of a particle.
Using the sensory equipment available to the Culture, Minds can see inside solid objects ; in principle they can also read minds by examining the cellular processes inside a living brain, but Culture Minds regard such mindreading as taboo.
Using the principle that any function with a finite number of possible outputs placed in a feedback loop will cycle, one can use a relatively small amount of memory to store outputs with particular structures and use them as " markers " to better detect when a marker has been " passed " before.
* By Blade: Using essentially the same principle as communication by mirror, by applying blood and breath, communication between two people can be established by calling them by name.
Using this principle, the world's only commercial tunable nanopore-based particle detection system has been developed by Izon Science Ltd.
Using an alternative DNS root breaks the principle of universal resolvability, unless it is for a strictly private purpose.
Using the perimeter block development principle, city blocks are developed so that buildings are located along the perimeter of the block, with entrances facing the street, and semi-private courtyards in the rear of the buildings.
Using this principle, Progressive Creationist Alan Hayward cites Hebrews 4, which discusses in the context of the creation story, a continued Seventh Day of creation.
Using a modern direct ophthalmoscope gives a view of the optic disc using the principle of reversibility of light.
Using Boltzmann's principle, we conclude that
Using XAML to develop user interfaces also allows for separation of model and view, which is considered a good architectural principle.
( Using a character for the first sound of its name is the acrophonic principle.
Using the action principle, a Lagrangian can be constructed from the trace of a polynomial function of these matrices, leading to Hamiltonian equations of motion.
Using and equivalence
Using Einstein's mass-energy equivalence,, this can be rewritten as
Using this relation, it is possible to construct a partial order on the quotient set of the equivalence, S / ~, the set of all equivalence classes of ~.
Using the equivalence above, the fact that φ is a contradiction may be derived, for example, from.
Using the intrinsic rotations equivalence, Tait – Bryan angles correspond with the three rotations with a different axis.
Using the equivalence between Euler angles and rotation composition, it is possible to change to and from matrix convention.
* D. Shannon and M. Sweedler " Using Groebner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence " Journal of Symbolic Computation v6 n2-3 pp267 – 273 ( 1988 )
Using a coarser notion of equivalence that also allows transposition, there are 4 inequivalent matrices of order 16, 3 of order 20, 36 of order 24, and 294 of order 28.
Using the axiom of choice, they select and memorize a representative sequence from each equivalence class.
There are various situations, where such a functor is an equivalence between the opposite category C < sup > op </ sup > of C, and D. Using a duality of this type, every statement in the first theory can be translated into a " dual " statement in the second theory, where the direction of all arrows has to be reversed.
Using and Einstein
Using this approximation, Einstein reproduced the incorrect Newtonian value for the deflection of light in 1909.
Using Atlas-Centaur launch vehicles, highly successful missions were started in August 1977 ( HEAO 1 ), November 1978 ( HEAO 2, also called the Einstein Observatory ), and September 1979 ( HEAO 3 ).
Using the Einstein summation convention, with regular ( contravariant ) vectors having upper indices, this is computing
Using Einstein ’ s method, the following equations are used:
Using Einstein notation, the Navier-Stokes equations for an incompressible fluid in Cartesian coordinates are
Using this method the author managed to rank " Ike Antkare " ahead of Albert Einstein for instance.
Using Newton's identities, this condition can be re-expressed in terms of the traces of the powers of the Einstein tensor as
Using Einstein notation, Lighthill ’ s equation can be written as
3.170 seconds.