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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.
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 ...
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 ...
eqchem - For balancing chemical equations. Kard - A pair-matching children's memory game. KMathTool - A collection of mathematical calculators, like a factor finder. Kalcul - A mathematics testing program. KPercentage - Small math application that will help pupils to improve their skills in calculating percentages. KSimus - Digital circuit ...
This toy uses the principles of center of mass to keep balance when sitting on a finger. In physics, the center of mass of a distribution of mass in space (sometimes referred to as the barycenter or balance point) is the unique point at any given time where the weighted relative position of the distributed mass sums to zero.
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:
Elin Nordegren famously married Tiger Woods in 2004, but these days a different athlete has her heart: former football player Jordan Cameron.. Cameron played as a tight end for the Cleveland ...
Chemical equations are used to graphically illustrate chemical reactions. They consist of chemical or structural formulas of the reactants on the left and those of the products on the right. They are separated by an arrow (→) which indicates the direction and type of the reaction; the arrow is read as the word "yields". [ 10 ]