| 1. | They are obtained by applying rational approximations to the square root operator.
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| 2. | Non-composite rational approximations have been developed by Shaw.
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| 3. | :A big factor is the rational approximation of log 2 3.
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| 4. | In fact could be computed from these rational approximations.
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| 5. | The rational approximation ( H " 1.41429 ) is frequently used.
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| 6. | Another rational approximation of that is far more accurate is 355 / 113.
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| 7. | The are rational approximations to and two successive terms always enclose the true value of.
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| 8. | The rational approximations are not trivial.
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| 9. | Thus to incorporate a new term into a rational approximation, only the two previous convergents are necessary.
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| 10. | Further deep results on rational approximation are due to, in particular, A . G . Vitushkin.
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