# asymptotic series in a sentence

1) In fact,

**asymptotic**

**series**are the norm.

2) Stokes' research on

**asymptotic**

**series**led to fundamental insights about such series.

asymptotic collocations

3) They reappeared in 1886 with Poincaré's work on

**asymptotic**

**series**.

4) What it actually plots are the Taylor's

**series**and the

**asymptotic**

**series**simultaneously.

## asymptotic series example sentences

5) He received his doctorate of science in 1886 for a thesis on**asymptotic**

**series**.

6) Watson's theorem gives conditions for a function to be the Borel sum of its

**asymptotic**

**series**.

7) Even for analytic functions, the

**series**on the right is not guaranteed to converge; it may be an

**asymptotic**

**series**. However, it can be used to obtain more accurate approximations for the derivative.

8) Carleman's theorem shows that a function is uniquely determined by an

**asymptotic**

**series**in a sector provided the errors in the finite order approximations do not grow too fast.

9) This is then a divergent or

**asymptotic**series, or it can be interpreted as a symbolic shorthand for a differential equation that the sum satisfies.

10) After a certain order __FORMULA__ however, the results become increasingly worse since the

**series**are usually divergent (being

**asymptotic**

**series**).

11) These corrections, being'small' compared to the size of the quantities themselves, can be calculated using approximate methods such as

**asymptotic**

**series**.

12) In 1918, Hardy and Ramanujan studied the partition function "P"("n") extensively and gave a non-convergent

**asymptotic**

**series**that permits exact computation of the number of partitions of an integer.

13) Because the theory is'sick' for any negative value of the coupling constant, the

**series**do not converge, but are an

**asymptotic**

**series**.

14) The values Φ("x") may be approximated very accurately by a variety of methods, such as numerical integration, Taylor series,

**asymptotic**

**series**and continued fractions.

### example sentences with asymptotic

15) In fact, after a certain number of terms, a typical**asymptotic**

**series**reaches its best approximation; if more terms are included, most such

**series**will produce worse answers.

16) The difference is that an

**asymptotic**

**series**cannot be made to produce an answer as exact as desired, the way that convergent

**series**can.

17)

**asymptotic**series, otherwise

**asymptotic**expansions, are infinite

**series**whose partial sums become good approximations in the limit of some point of the domain.

18) Including more terms from the zeta

**series**yields a better approximation, as does factoring in the

**asymptotic**

**series**in Stirling's approximation.

19) By convention, the

**asymptotic**

**series**is written as:

20) __FORMULA__ as an

**asymptotic**

**series**where __FORMULA__ and __FORMULA__.

21) " In mathematical analysis,

**asymptotic**

**series**are one of the most popular tools employed to approach such questions.

22) For |"z"| ≫ 1, the polylogarithm can be expanded into

**asymptotic**

**series**in terms of ln(−"z"):

These examples have been automatically selected and may contain sensitive content that does not reflect the opinions or policies of our website. Please inform us about the inappropriate sentences:

This site is designed to teach you English words in context with collocations with the help of example sentences.

You can easily memorize the word and the meaning of asymptotic series

and This is a fast way of learning the meaning of asymptotic series with example sentences.

Always focus on the learning on sentences with asymptotic series

We believe you will easily learn to write and use the word asymptotic series in a sentence.

You can practice spelling and usage of the word by getting 10 examples of sentences with asymptotic series.

20 examples of simple sentences of asymptotic series. We tried to find and publish the the words with Simple Sentences of asymptotic series

Compound Sentences with asymptotic series

Complex Sentences with asymptotic series

Compound-Complex Sentences with asymptotic series