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simultaneous equations |
Also found in: Dictionary/thesaurus, Wikipedia, Hutchinson | 0.02 sec. |
system of equationsor simultaneous equationsIn 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. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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They are actually simultaneous equations, positing that if any two (2) digits in P, Q, D1, D2, D3 and D4 become unknown (or lost), then the above simultaneous equations will become an independent binary simple equation and we can regain the 2 lost digits simply through resolving the equation. Economists would, however, feel reluctant to accept this as proof of the credit supply driving the Japanese business cycle in the past two decades, since the simple-minded regression fails to adequately deal with simultaneous equations bias. We used the three-stage least squares (3SLS) procedure commonly used in econometrics, which provides a useful parameter estimation procedure for simultaneous equations (12). |
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