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| | Archimedes' Cattle Problem (Computer Output) |
 | | Below is a session of Maple, a symbolic algebra program, used to solve the first part of Archimedes' Cattle Problem. |
 | | Comment: Pick out the sole entry of the set of basis vectors of the null space of A. Comment: Every solution of the homogeneous system is a scalar multiple of this one vector C. Next, we wish to multiply C by a suitable constant so that the resulting entries are integers with no common divisor. |
 | | Comment: The eight entries of this vector are the smallest numbers of white bulls, fl bulls, yellow bulls, dappled bulls, white cows, fl cows, yellow cows, and dappled cows, respectively, that solve Archimedes' cattle problem. |
| www.math.nyu.edu /~crorres/Archimedes/Cattle/computer1.html (260 words) |
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