| 21. | The dual number gradually disappeared from Aramaic over time and has little influence in Middle and Modern Aramaic.
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| 22. | Modern Dual number : Slavic languages for a discussion of number phrases in Russian and other Slavic languages.
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| 23. | With this description, it is clear that the dual numbers form a commutative ring with Division " ).
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| 24. | The algebra of dual numbers is isomorphic to the exterior algebra of \ mathbb { R } ^ 1.
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| 25. | Junction 8 / 9 at Maidenhead, Berkshire, is the only one in the UK with dual numbers.
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| 26. | Both declensions derive from the Indo-European dual number, otherwise defunct in Latin, rather than the plural.
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| 27. | Liouville's theorem does not extend to the generalizations of complex numbers known as double numbers and dual numbers.
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| 28. | Pseudo-Euclidean geometry is supported by alternative complex planes where points are split-complex numbers or dual numbers.
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| 29. | The special case of n = 1 is called a dual number, and was introduced by William Clifford in 1873.
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| 30. | The Baltic languages also used to have a dual number system, but it has become practically obsolete in modern Latvian and Lithuanian.
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