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...orities_and_rules.html|work=eere.energy.gov|publisher=[[U.S. Department of Energy]]|accessdate=26 March 2013}}</ref> ...demand-and-heat-pump-water-heaters|website=Energy.gov|publisher=US Dept of Energy|accessdate=2 June 2016}}</ref> ...

...of energy|conservation of total energy]] of a system. The increase of the energy of a system is equal to the sum of work done on the system and the heat add * <math>E_t</math> is the total energy of a system. ...

...the no-hiding theorem. This experiment for the first time demonstrated the conservation of [[quantum information]].<ref>{{cite web | last=Zyga | first=Lisa | title ==Conservation of quantum information== ...

...of the component of [[vorticity]] in the stretching direction—due to the [[conservation of angular momentum]].<ref>Tennekes & Lumley (1972) pp. 83–84.</ref> ...s of the order of the [[Kolmogorov microscales]], the turbulence [[kinetic energy]] is dissipated into heat through the action of [[molecular]] viscosity.<re ...

...ement concerning the irreversibility of natural processes, especially when energy dissipation is involved. It was named after the German physicist [[Rudolf C ...>\mathbf{q}</math> is the [[heat]] [[flux]] vector, <math>s</math> is an [[energy]] source per unit mass, and <math>T</math> is the absolute [[temperature]]. ...

...linear momentum, then these degrees of freedom will have the same average energy. If there is a lack of equilibrium between these degrees of freedom, then t ...otational symmetry and applies torques to the electron fluid, implying non-conservation of [[angular momentum]] and hence rotational viscosity. ...

== Conservation of mass == == Conservation of momentum == ...

...ary function''' (<math>h_p\left(t\right)</math>) for each different p. The energy of the residual will vanish if we keep doing the decomposition. === Energy conservation equation === ...

;Conservation of energy ...math>\mathcal{SP}_{w_1,w_2}(t,f)(x,w)</math> satisfies the conservation of energy if and only if <math>(w_1,w_2) = 1</math>. ...

{{Short description|Formulas to determine the energy balance of a nonlinear wave}} ...veloped originally for [[electrical engineer]]s to predict the amount of [[energy]] in a wave that has multiple frequencies. They have since been found to de ...

...inear relationship between the input and stored energy.</blockquote>The co-energy analysis techniques cannot be applied to non-linear systems. However, small ...ing armature (i.e. no mechanical work is done). Hence, all of the electric energy supplied to the device is stored in the magnetic field.<ref name="bakshi" / ...

...etry is closely connected, via [[Noether's theorem]], to [[conservation of energy]].<ref name=Wilczek>{{cite book|last1=Wilczek|first1=Frank|title=A Beautifu ...tion it is said to be ''invariant''. Symmetries in nature lead directly to conservation laws, something which is precisely formulated by [[Noether's theorem]].<ref ...

=== Extension of the ideal fluid energy equation === ...ng equations for [[Conservation of mass|mass conservation]] and [[momentum conservation]] are the [[Continuity equation#Fluid dynamics|continuity equation]] and th ...

...el]] generates forecasts of wave conditions through the use of wave-action conservation and the wind-field forecasts (from [[weather forecasting models]]).<ref>{{C where <math>E</math> is the intrinsic wave [[energy]] and <math>\omega_i</math> is the intrinsic frequency of the slowly modula ...

...]] [[gauge transformation]] of [[Quantum electrodynamics|QED]] implies the conservation of the [[electric charge]]. Likewise, if a theory possesses an internal chi ...role in [[hadron|hadronic physics]].) An important consequence of such non-conservation is the neutral [[pion]] [[Particle decay|decay]] and the [[chiral anomaly]] ...

...he continuous curve is due to ''[[bremsstrahlung]]'', and the spikes are [[Energy-dispersive X-ray spectroscopy|characteristic K lines]] for rhodium. The Dua ...many photons, and each has an energy less than 60&nbsp;keV.) A photon with energy of 60&nbsp;keV or less has a wavelength of 21&nbsp;[[picometre|pm]] or more ...

{{Short description|Device showing conservation of linear momentum}} ...the behavior seems highly counter-intuitive, but in fact is precisely what conservation of momentum predicts. The principal difficulty is in keeping the configurat ...

...irical]] description of the [[mechanical work#Mechanical energy|mechanical energy]] losses of the [[fluid]] due to a (sudden) [[fluid flow|flow]] expansion. ...as well as in [[pipe flow]]s. In parts of the flow where the irreversible energy losses are negligible, Bernoulli's principle can be used. ...

...he geometry of the problems; in particular, the numerical method preserves energy and momentum in some sense, similar to the partial differential equation it ...math> yields the local [[Conservation law (physics)|conservation law]] for energy:<ref name=BR187>{{harvnb|Bridges|Reich|2001|p=187}}; {{harvnb|Leimkuhler|Re ...

In [[quantum mechanics]], [[energy]] is defined in terms of the '''energy operator''', acting on the [[wave function]] of the system as a consequence ...system is discrete (a set of permitted states, each characterized by an [[energy level]]) which results in the concept of [[quantum|quanta]]. ...