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[10] [11] A consistent solution that balances two equation terms may generate an accurate approximation to the full equation's solution for values approaching . [ 11 ] [ 12 ] Approximate solutions arising from balancing different terms of an equation may generate distinct approximate solutions e.g. inner and outer layer solutions .
Often, constructing local balance equations is equivalent to removing the outer summations in the global balance equations for certain terms. [ 1 ] During the 1980s it was thought local balance was a requirement for a product-form equilibrium distribution , [ 10 ] [ 11 ] but Gelenbe 's G-network model showed this not to be the case.
With denoting the static equation of motion of a system with a single degree of freedom the following calculations can be performed: Diagram of a ball placed in an unstable equilibrium. Second derivative < 0 The potential energy is at a local maximum, which means that the system is in an unstable equilibrium state.
Harmonic balance is a method used to calculate the steady-state response of nonlinear differential equations, [1] and is mostly applied to nonlinear electrical circuits. [2] [3] [4] It is a frequency domain method for calculating the steady state, as opposed to the various time-domain steady-state methods.
In physics, a mass balance, also called a material balance, is an application of conservation of mass [1] to the analysis of physical systems.By accounting for material entering and leaving a system, mass flows can be identified which might have been unknown, or difficult to measure without this technique.
Chemical equation balancing. Add languages. Add links. Article; Talk; ... Print/export Download as PDF; Printable version; In other projects