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system of equations

   Also found in: Dictionary/thesaurus, Wikipedia, Hutchinson 0.06 sec.

system of equations

 or simultaneous equations

In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns. Even then a solution is not guaranteed. If a solution exists, the system is consistent; if not, it is inconsistent. A system of linear equations can be represented by a matrix whose elements are the coefficients of the equations. Though simple systems of two equations in two unknowns can be solved by substitution, larger systems are best handled with matrix techniques.



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We treat the linear system of equations above as a multiequation simulation model, which allows us to account for the interrelationship within a set of variables, namely, [H.
The drawback of the system of integral equations, however, consists in that the optimal pattern of density of fire resulting from solving this system of equations repeats in a certain way the distribution pattern of individual targets around the area of multiple targets while at the same time local sections of the area engaged by fire should be continuous.
A system of equations for n number of nonstationary variables with the same order can expressed as follows:
 
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