XIV. ON THE APPLICATION OF LOGICAL ANALYSIS TO MULTIPLE ALGEBRA Presented, May 11, 1875
THE letters of an algebra express the relation of the product to the multiplicand. Thus, iA expresses the quantity which is related to A in the manner denoted by i. This being the conception of these algebras, for each of them we may imagine another "absolute" algebra, as we may call it, w...
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| Published in | Proceedings of the American Academy of Arts and Sciences Vol. X; p. 392 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Boston
American Periodicals Series III
01.05.1875
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| Online Access | Get full text |
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| Summary: | THE letters of an algebra express the relation of the product to the multiplicand. Thus, iA expresses the quantity which is related to A in the manner denoted by i. This being the conception of these algebras, for each of them we may imagine another "absolute" algebra, as we may call it, which shall contain letters which can only be products and multiplicands, not multipliers. Let the general expression of the absolute algebra be aI + bJ + cK + dL + etc. Multiply this by any letter i of the relative algebra... |
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| ISSN: | 0199-9818 |