 | William Emerson - Algebra - 1780 - 574 pages
...another, except they were fame way or other depending on one another, fo as to make an equality. SCHOLIUM. As a problem is truly limited, when the number of...provided all, above that number, are depending upon thcfe, and derived from them, This is plain from any algebraic procefs; for in the operation, all the... | |
 | Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...number of roots. Hence the solution is indeterminate. 333. Prop. 1. A solution is in general determinate when the number of independent equations is equal to the number of unknown quantities involved. Dem. The proposition is nearly axiomatic. As seen in the preceding illustration, there are... | |
 | Peter Merton McGinnis - Education - 2005 - 434 pages
...rule? e = bounce height drop height (3.17) low value: e = = V0.68 = 0.82 high value: = J = V0.72=0.85 the number of independent equations is equal to the number of unknown variables, the unknown variables can be computed. We need to solve one of the equations for one of... | |
 | Boris Kosyakov - Science - 2007 - 479 pages
...glance, this system of equations may appear overdetermined. However, a closer inspection shows that the number of independent equations is equal to the number of unknown variables. Indeed, taking the curl of the left hand side of (4.120), we find (4.124) By (4.121), the... | |
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Recalling the fact that, from a purely mathematical point of view, a problem is adequately solved when the number of independent equations is equal to the number of unknown... 