| 1. | Some Diophantine problems from Arithmetica have been found in Arabic sources.
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| 2. | B�zout's identity can be used to solve Diophantine equations.
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| 3. | Determination of the solvability of a Diophantine equation " '.
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| 4. | So every Diophantine set is trivially of degree 4 or less.
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| 5. | The method for solving these equations is known as Diophantine analysis.
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| 6. | Also, it appears in the Hurwitz inequality for Diophantine approximations.
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| 7. | Algebra also studies Diophantine equations where the coefficients and solutions are integers.
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| 8. | Is an example of a Diophantine equation with a parameter.
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| 9. | "provide a Diophantine definition of a non-computable set.
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| 10. | Diophantine approximations also have important applications in the study of Diophantine equations.
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