# rational approximation in a sentence

1) Here are all of its best rational approximations .

approximation collocations
2) In fact "π" could be computed from these rational approximations .

3) The continued fraction representation of can be used to generate successive best rational approximations .

## rational approximation example sentences

4) These approximations are the best possible rational approximations of relative to the size of their denominators.

5) Thus to incorporate a new term into a rational approximation , only the two previous convergents are necessary.

6) Their rational approximation of the "error" for the finite sum of their series are of particular interest.

7) However, the existence or usefulness of a rational approximation to a quantity does not mean the quantity is irrational.

8) An infinite continued fraction representation for an irrational number is useful because its initial segments provide rational approximations to the number.

9) The Kerala school of astronomy and mathematics further expanded his works with various series expansions and rational approximations until the 16th century.

10) Each approximation generated in this way is a best rational approximation ; that is, each is closer to than any other fraction with the same or a smaller denominator.

11) We can use "ƒ" and "g" together to compute as close a rational approximation as we like to the real number they represent.

12) The "R""n" are rational approximations to "π" and two successive terms always enclose the true value of "π".

13) The last entry of the table has 355⁄113 as one of its best rational approximations ;

14) the numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer.

15) The simple continued fraction for __FORMULA__ generates "all" of the best rational approximations for __FORMULA__ according to three rules:

### example sentences with rationalapproximation

16) They are intimately connected with the golden ratio ; for example, the closest rational approximations to the ratio are 2/1, 3/2, 5/3, 8/5, ... .

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