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- Q751048 subject Q6425284.
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- Q751048 subject Q8399470.
- Q751048 subject Q8529633.
- Q751048 abstract "Template:ForIn linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε2 = 0 (ε is nilpotent). The collection of dual numbers forms a particular two-dimensional commutative unital associative algebra over the real numbers. Every dual number has the form z = a + bε with a and b uniquely determined real numbers. Dual numbers can also be thought of as the exterior algebra of a one dimensional vector space.The algebra of dual numbers is a ring that is a local ring since the principal ideal generated by ε is its only maximal ideal.Dual numbers form the coefficients of dual quaternions.".
- Q751048 wikiPageExternalLink generalized_complex_numbers.pdf.
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- Q751048 comment "Template:ForIn linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε2 = 0 (ε is nilpotent). The collection of dual numbers forms a particular two-dimensional commutative unital associative algebra over the real numbers. Every dual number has the form z = a + bε with a and b uniquely determined real numbers.".
- Q751048 label "Dual number".