 ... in which the number of equations is equal to the number of unknowns? The assumption lying behind these researches is that if the relations and conditions can in fact be so expressed, Marx's " method of transforming values into prices " is itself transformed...  College Algebra - Page 93by Ernest Brown Skinner - 1917 - 263 pagesFull view - About this book
 | The Analytic Sciences Corporation - Computers - 1974 - 388 pages
...square matrices only; it is used in the solution of sets of linear equations - of the form Ax = y_ in which the number of equations is equal to the number of unknowns. For nonsquare matrices used to describe systems of equations where the number of equations does not equal... | |
 | L. Meirovitch - Mathematics - 1980 - 462 pages
...norm x = AH(AAHr'c (1.75) where AAH is an mxm matrix of rank m and is therefore nonsingular. The case in which the number of equations is equal to the number of unknowns is of particular interest. If A is a square matrix of order n, then the following statements are equivalent:... | |
 | Leonid Mirsky - Mathematics - 1990 - 468 pages
...hence at least one non-trivial solution, if and only if .K(A) < n. COROLLARY 1. A homogeneous system in which the number of equations is equal to the number of unknowns, possesses a non-trivial solution if and only if the matrix of coefficients is singular. This result... | |
 | T.S. Sudarshan, T.S. Srivatsan - Technology & Engineering - 1993 - 798 pages
...vector. The introduction of constitutive equations produces a fully determined mathematical problem in which the number of equations is equal to the number of unknowns. For example, going back to the one component system, the set of Equations (1), (2), (3), (5), and (6) has... | |
 | Martin Anthony, Norman Biggs - Business & Economics - 1996 - 414 pages
...Inverse matrices 18.1 The square linear system In this chapter we study the 'square' linear system, in which the number of equations is equal to the number of unknowns. In this case it is possible that there is a unique solution, and we shall concentrate on establishing... | |
 | Mark Baratz, Anthony D. Watson, Joseph E. Imbriglia - Medical - 1999 - 982 pages
...solution is correct uniquely for the problem as it is posed. This is called a determinate problem, in which the number of equations is equal to the number of unknowns being solved. In the remainder of mechanics problems, and in a large number of problems in biomechanics,... | |
 | Mohamad Subhi Qatu - Technology & Engineering - 2004 - 426 pages
...SYNTHESIS OF LAMINATED SHELL EQUATIONS The equations presented thus far are complete in the sense that the number of equations is equal to the number of unknowns for each of the theories presented. Table 2.2 summarizes the number of equations and unknowns for each... | |
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