zero rule of product
For real and complex numbers, and more generally for elements of an integral domain, a product equals to zero if and only if at least one of the equals to zero. For two elements and , we have
For example, this rule can be used in solving polynomial equations:
The used sign “” is the logical or.
Title | zero rule of product |
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Canonical name | ZeroRuleOfProduct |
Date of creation | 2013-03-22 15:06:46 |
Last modified on | 2013-03-22 15:06:46 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 11 |
Author | pahio (2872) |
Entry type | Result |
Classification | msc 13G05 |
Synonym | product to zero rule |
Related topic | CancellationRing |
Related topic | EulersDerivationOfTheQuarticFormula |
Related topic | GroupingMethodForFactorizingPolynomials |
Related topic | HyperbolasOrthogonalToEllipses |