Phrase guide

power series

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

Any infinite series of the general form ∑i=0 ᪲a_i(x-c)i.

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences

Examples

  • 1899, Oskar Bolza, The Theory of Functions, 2013, Reprint, Books on Demand, page 69, From this theorem (for which in many cases Cauchy's theorem on double sums may be substituted) follow easily the rules for the multiplication and division of power series, Taylor's theorem for power series along with the rules for differentiation of power series and series of power series.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

the sum of terms containing successively higher integral powers of a variable

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: series

History

Etymology

No etymology was provided for this word.

Across languages

Translations

20 source translations are retained for this English entry.

  • Asturian: serie de potencies — Translations
  • Bulgarian: степенен ред (stepenen red) — Translations
  • Catalan: sèrie de potències enteres — Translations
  • Catalan: sèrie de potències — Translations
  • Catalan: sèrie entera — Translations
  • Czech: mocninná řada — Translations
  • Dutch: machtreeks — Translations
  • Estonian: astmerida — Translations
  • Finnish: potenssisarja — Translations
  • French: série entière — Translations
  • French: série de puissances — Translations
  • Galician: serie de potencias — Translations
  • German: Potenzreihe — Translations
  • Hungarian: hatványsor — Translations
  • Italian: serie di potenze — Translations
  • Polish: szereg potęgowy — Translations
  • Portuguese: série de potências — Translations
  • Romanian: serie de puteri — Translations
  • Russian: степенно́й ряд (stepennój rjad) — Translations
  • Spanish: serie de potencias — Translations