# An Etymological Dictionary of Astronomy and AstrophysicsEnglish-French-Persian

## فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

### M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 2 Search : finite series
 finite series   سری ِ کرانمند   seri-ye karânmand (#)Fr.: série finie   A sum a1 + a2 + a3 + · · · + aN, where the ai's are real numbers. In terms of Σ-notation, it is written as a1 + a2 + a3 + · · · + aN = Σ (n = 1 to N).  See also → infinite series.→ finite; → series. infinite series   سری ِ بیکران   seri-ye bikarân (#)Fr.: série infinie   A series with infinitely many terms, in other words a series that has no last term, such as 1 + 1/4 + 1/9 + 1/16 + · · · + 1/n2 + ... . The idea of infinite series is familiar from decimal expansions, for instance the expansion π = 3.14159265358979... can be written as π = 3 + 1/10 + 4/102 + 1/103 + 5/104 + 9/105 + 2/106 + 6/107 + 5/108 + 3/109 + 5/1010 + 8/1011 + ... , so π is an "infinite sum" of fractions. See also → finite series.→ infinite; → series.