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Any expression that represents the addition a countably infinite number of ordered summands, often explicitly indexed by the positive or nonnegative integers.
Definition source: English Wiktionary via Wiktextract
Topics: mathematical-analysis, mathematics, sciences
Examples
- In 1734, Leonhard Euler solved the Basel problem by summing the infinite series #92;textstyle#92;frac#123;1#125;#123;12#125;#43;#92;frac#123;1#125;#123;22#125;#43;#92;frac#123;1#125;#123;32#125;#43;#92;cdots#61;#92;sum#95;#123;n#61;1#125;#123;#92;infty#125;#92;frac#123;1#125;#123;n2#125;#61;#92;frac#123;#92;pi2#125;#123;6#125;.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
15 source translations are retained for this English entry.
-
Asturian:
serie infinita
— infinite series
-
Catalan:
sèrie infinita
— infinite series
-
Danish:
uendelig række
— infinite series
-
French:
série infinie
— infinite series
-
Galician:
serie infinita
— infinite series
-
Hungarian:
végtelen sorozat
— infinite series
-
Italian:
serie infinita
— infinite series
-
Japanese:
無限級数
(mugenkyūsū)
— infinite series
-
Portuguese:
série infinita
— infinite series
-
Romanian:
serie infinită
— infinite series
-
Russian:
бесконе́чный ряд
(beskonéčnyj rjad)
— infinite series
-
Serbo-Croatian:
beskonačni red
— infinite series
-
Spanish:
serie infinita
— infinite series
-
Swedish:
oändlig serie
— infinite series
-
Tagalog:
awangganing dalayray
— infinite series
