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simultaneous equations
(redirected from Systems of equations)

   Also found in: Wikipedia, Hutchinson 0.02 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.


simultaneous equations [‚sī·məl′tā·nē·əs i′kwā·zhənz]
(mathematics)
A collection of equations considered to be a set of joint conditions imposed on the variables involved.


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Special attention is paid to the linear ODE, the operational methods for differential systems of equations (substitution method, Cramer's rule etc.
The company is also presenting a paper titled, "Exploration of Least-Squares Solutions of Linear Systems of Equations with Fixed-Point Arithmetic," on Monday November 14th, at 2:00 p.
Simulation-based extension of GMM able to accommodate general discrete and continuous-time dynamic systems of equations.
 
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