This article is about balance equations in probability theory. For the concept of balanced equations in chemistry, see chemical equation.
In probability theory, a balance equation is an equation that describes the probability flux associated with a Markov chain in and out of states or set of states.[1]
^Harrison, Peter G.; Patel, Naresh M. (1992). Performance Modelling of Communication Networks and Computer Architectures. Addison-Wesley. ISBN 0-201-54419-9.
In probability theory, a balanceequation is an equation that describes the probability flux associated with a Markov chain in and out of states or set...
process or reversible Markov chain if it satisfies the detailed balanceequations. These equations require that the transition probability matrix P for the Markov...
A chemical equation is the symbolic representation of a chemical reaction in the form of symbols and chemical formulas. The reactant entities are given...
plus change in storage during a time interval. In hydrology, a water balanceequation can be used to describe the flow of water in and out of a system. A...
monitoring, the term budget calculations is used to describe mass balanceequations where they are used to evaluate the monitoring data (comparing input...
\dots ,\mu _{k})} . The steady state equations for the birth-and-death process, known as the balanceequations, are as follows. Here P n {\displaystyle...
The fundamental accounting equation, also called the balance sheet equation, is the foundation for the double-entry bookkeeping system and the cornerstone...
system. To derive a generalized entropy balanced equation, we start with the general balanceequation for the change in any extensive quantity θ {\displaystyle...
elimination. An equation is analogous to a weighing scale, balance, or seesaw. Each side of the equation corresponds to one side of the balance. Different...
Gauss equation for electric flux Gauss equation for magnetic flux The basic equations in classical continuum mechanics are all balanceequations, and as...
Population balanceequations (PBEs) have been introduced in several branches of modern science, mainly in Chemical Engineering, to describe the evolution...
In statistical physics, the Smoluchowski coagulation equation is a population balanceequation introduced by Marian Smoluchowski in a seminal 1916 publication...
analytical concentration. In some texts, one mass balanceequation is replaced by an equation of charge balance. This is satisfactory for simple cases like...
In chemistry, the rate equation (also known as the rate law or empirical differential rate equation) is an empirical differential mathematical expression...
according to the accounting equation, net worth must equal assets minus liabilities. Another way to look at the balance sheet equation is that total assets equals...
Minimize the Gibbs energy of the system. Satisfy the equation of mass balance. The equations of mass balance are simply statements that demonstrate that the...
dominated by capillary effects. The defining equation for a capillary surface is called the stress balanceequation, which can be derived by considering the...
Evapotranspiration may be estimated by evaluating the water balanceequation for a given area:. The water balanceequation relates the change in water stored within the...
\mathbf {g} .\,} These are known as the Navier–Stokes equations. The momentum balanceequations can be extended to more general materials, including solids...
has the advantage that the balanceequation is independent of frequency. The connections of the Schering bridge under balance conditions are shown in the...
dominant balance approximates the solution to an equation by solving a simplified form of the equation containing 2 or more of the equation's terms that...
dissipation. For example, balanceequations of this kind are the momentum and energy Navier-Stokes equations, or the entropy balance for a general isolated...
volcanic) A mass balance must be performed, and used along with Darcy's law, to arrive at the transient groundwater flow equation. This balance is analogous...
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