summabilityn.

Brit.

/ˌsʌməˈbɪlɪti/, U.S.

/ˌsəməˈbɪlədi/

Origin: Formed within English, by derivation. Etymons: summable adj., -ity suffix.

Etymology: < summable adj. + -ity suffix: see -bility suffix.

Mathematics.

With reference to an infinite series (series n. 8): the property or fact of being summable (summable adj. 1b).Frequently with distinguishing word, as Abel summability, Cesàro summability, Euler summability, etc.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > other

digitusa1398

argumentc1405

geodeticala1690

known quantity1702

amicable number1743

summability1900

idempotent1903

modularity1927

repunit1964

palindrome1972

seed1972

1900 tr. J. C. Kluyver in Koninklijke Akademie van Wetenschappen te Amsterdam: Proc. Section Sci. 2 305 We must regard G_p as the region of summability [Du. sommeerbaarheid] associated with the function E_p (a/z).

1968 P. A. P. Moran Introd. Probability Theory viii. 351 The study of the relative strengths of various methods of summability of series.

2004 J. Korevaar Tauberian Theory i. 12 Cesàro summability implies Abel summability.

Compounds

summability theory n. the branch of mathematics concerned with the summability of infinite series, and with the connections between different notions of summability.

ΚΠ

1931 Amer. Jrnl. Math. 53 25 Such matrices are of some interest in the summability theory of divergent series.

2017 P. N. Natarajan Classical Summability Theory i. 1 An engineer or a physicist, who works with Fourier series, Fourier transforms, or analytic continuation can find summability theory very useful.

This entry has been updated (OED Third Edition, September 2019; most recently modified version published online March 2022).

单词	summability
释义	summabilityn. Brit. /ˌsʌməˈbɪlɪti/, U.S. /ˌsəməˈbɪlədi/ Origin: Formed within English, by derivation. Etymons: summable adj., -ity suffix. Etymology: < summable adj. + -ity suffix: see -bility suffix. Mathematics. With reference to an infinite series (series n. 8): the property or fact of being summable (summable adj. 1b).Frequently with distinguishing word, as Abel summability, Cesàro summability, Euler summability, etc. ΘΚΠ the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > other digitusa1398 argumentc1405 geodeticala1690 known quantity1702 amicable number1743 summability1900 idempotent1903 modularity1927 repunit1964 palindrome1972 seed1972 1900 tr. J. C. Kluyver in Koninklijke Akademie van Wetenschappen te Amsterdam: Proc. Section Sci. 2 305 We must regard G_p as the region of summability [Du. sommeerbaarheid] associated with the function E_p (a/z). 1968 P. A. P. Moran Introd. Probability Theory viii. 351 The study of the relative strengths of various methods of summability of series. 2004 J. Korevaar Tauberian Theory i. 12 Cesàro summability implies Abel summability. Compounds summability theory n. the branch of mathematics concerned with the summability of infinite series, and with the connections between different notions of summability. ΚΠ 1931 Amer. Jrnl. Math. 53 25 Such matrices are of some interest in the summability theory of divergent series. 2017 P. N. Natarajan Classical Summability Theory i. 1 An engineer or a physicist, who works with Fourier series, Fourier transforms, or analytic continuation can find summability theory very useful. This entry has been updated (OED Third Edition, September 2019; most recently modified version published online March 2022). < n.1900
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