| 31. | Rational numbers have a finite Engel expansion, while irrational numbers have an infinite Engel expansion.
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| 32. | Not only rational numbers but irrational numbers too do have their characters which largely remain unexplored.
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| 33. | In this sense, therefore, it is the " most irrational " of all irrational numbers.
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| 34. | Such irrational numbers share a curious property : they have the same fractional part as their reciprocal.
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| 35. | Brun's constant could be an irrational number only if there are infinitely many twin primes.
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| 36. | Moreover, the repeated addition model must be substantially modified when irrational numbers are brought into play.
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| 37. | It has been suggested that Fibonacci relationships are not the only irrational number based relationships evident in waves.
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| 38. | The numbers which do not terminate and are not recurring are, as mentioned, the irrational numbers.
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| 39. | Then ? is a quadratic irrational number, and its representation as a regular continued fraction is periodic.
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| 40. | Irrational numbers can't be added with the right-to-left algorithm learned in school.
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