| 1. | In the 16th century dual number disappeared from the literary language.
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| 2. | Languages of the Brythonic branch do not have dual number.
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| 3. | Most variants of Levantine Arabic have lost the dual number.
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| 4. | The augmented algebra is the algebra of dual numbers.
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| 5. | One application of dual numbers is automatic differentiation.
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| 6. | The dual number indicates a pair of things.
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| 7. | A dual quaternion is usually described as a quaternion with dual numbers as coefficients.
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| 8. | The dual numbers form a local ring since there is a unique maximal ideal.
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| 9. | Many Semitic languages also have dual number.
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| 10. | In the plane, split-complex numbers and dual numbers form alternative topological rings.
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