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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
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.
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 differential mass balance is usually solved in two steps: first, a set of governing differential equations must be obtained, and then these equations must be solved, either analytically or, for less tractable problems, numerically. The following systems are good examples of the applications of the differential mass balance:
Two-plane, or dynamic, balancing is necessary if the out-of-balance couple at speed needs to be balanced. The second plane used is in the opposite wheel. Two-plane, or dynamic, balancing of a locomotive wheel set is known as cross-balancing. [11] Cross-balancing was not recommended by the American Railway Association until 1931.
In orbital mechanics, the equations of motion of planets are formulated as point masses located at the centers of mass (see Barycenter (astronomy) for details). The center of mass frame is an inertial frame in which the center of mass of a system is at rest with respect to the origin of the coordinate system.
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 ...
The time to reach equilibrium depends on parameters such as temperature, pressure, and the materials involved, and is determined by the minimum free energy. In equilibrium, the Gibbs free energy of reaction must be zero. The pressure dependence can be explained with the Le Chatelier's principle. For example, an increase in pressure due to ...
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