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How To Solve It - Condition
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Last Indexed: 10/23/2024
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[ Polya,G ] Condition is a principal part of a "problem to find" See PROBLEMS TO FIND, PROBLEMS TO PROVE , 3. See also TERMS, NEW AND OLD ,2. A condition is called redundant if it contains superfluous parts. It is called contradictory if its parts are mutually opposed and inconsistent so that there is no object satisfying the condition Thus, if a condition is expressed by more linear equations than there are unknowns, it is either redundant or contradictory; if the condition is expressed by fewer equations than there are unknowns, it is insufficient to determine the unknowns; if the condition is expressed by just as many equations as there are unknowns it is usually just sufficient to determine the unknowns but may be in exceptional cases, contradictory or insufficient.