| 1. | This implies that the field of rational numbers has no unramified extension.
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| 2. | No rational number is transcendental and all real transcendental numbers are irrational.
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| 3. | The former is a rational number; the latter is an irrational number.
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| 4. | For the orbits to be closed, ? must be a rational number.
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| 5. | Consequently, the solutions in rational numbers are all rescalings of integer solutions.
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| 6. | In consequence the ordinary expansion of has as coefficients the rational numbers.
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| 7. | There is a mode-locked region for every rational number p / q.
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| 8. | The real numbers are uncountably infinite, whereas the rational numbers are countable.
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| 9. | Either way you cannot square a circle using only rational numbers.
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| 10. | Nicolas Bourbaki created the double-struck capital Q for rational number sets.
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