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A Markov process is called a reversible Markov process or reversible Markov chain if there exists a positive stationary distribution π that satisfies the detailed balance equations [12] =, where P ij is the Markov transition probability from state i to state j, i.e. P ij = P(X t = j | X t − 1 = i), and π i and π j are the equilibrium probabilities of being in states i and j, respectively ...
The global balance equations can then be partitioned to give a set of local balance equations (also known as partial balance equations, [2] independent balance equations [7] or individual balance equations [8]). [1] These balance equations were first considered by Peter Whittle. [8] [9] The resulting equations are somewhere between detailed
DocHub is an online PDF annotator and document signing platform that can work on desktop platforms and mobile platforms founded by DocHub and Macroplant CEO Chris Devor in Boston, Massachusetts, United States, [2] with headquarter regions in the Greater Boston Area, East Coast, and New England. DocHub has several features that lets users add ...
The Kruskal-Newton diagram facilitates identifying the required scaled functions needed for dominant balance of algebraic and differential equations. [ 5 ] For differential equation solutions containing an irregular singularity , the leading behavior is the first term of an asymptotic series solution that remains when the independent variable z ...
Since the balance sheet is founded on the principles of the accounting equation, this equation can also be said to be responsible for estimating the net worth of an entire company. The fundamental components of the accounting equation include the calculation of both company holdings and company debts; thus, it allows owners to gauge the total ...
These four readings are sufficient to define the size and position of a final mass to achieve good balance. Ref 4 For production balancing, the phase of dynamic vibration is observed with its amplitude. This allows one-shot dynamic balance to be achieved with a single spin, by adding a mass of internally calculated size in a calculated position.
Consider the average number of particles with particle properties denoted by a particle state vector (x,r) (where x corresponds to particle properties like size, density, etc. also known as internal coordinates and, r corresponds to spatial position or external coordinates) dispersed in a continuous phase defined by a phase vector Y(r,t) (which again is a function of all such vectors which ...
Balancing and buck passing are the main strategies for preserving the balance of power and preventing a potential hegemon's rise. [78] Instead of balancing against an aggressor, some states instead choose to "pass the buck" whereby instead of taking action to prevent a potential rise, it will pass the responsibility on to another state.