infinite series

English - Turkish

Definition of infinite series in English Turkish dictionary

sonsuz seri

(Bilgisayar) sonsuz dizi

(Matematik) seri

English - English

Definition of infinite series in English English dictionary

A sum with a countably infinite number of ordered summands; the sum itself is formally defined as the limit of the partial sums, if it exists

\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \cdots = \frac{\pi^2}{6}.

(Mathematics) sequence of numbers containing an infinite number of terms

In mathematics, the sum of infinitely many numbers, whose relationship can typically be expressed as a formula or a function. An infinite series that results in a finite sum is said to converge (see convergence). One that does not, diverges. Mathematical analysis is largely taken up with studying the conditions under which a given function will result in a convergent infinite series. Such series (e.g., the Fourier series) are particularly useful in solving differential equations

Hyphenation

in·fi·nite se·ries

Turkish pronunciation

înfınıt sîriz

Pronunciation

/ˈənfənət ˈsərēz/ /ˈɪnfənət ˈsɪriːz/