different between factorial vs faction

English

Pronunciation

• IPA^(key): /fæk?t???i.?l/

Noun

factorial (plural factorials)

1. (mathematics, combinatorics) The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.

Usage notes

"n!" is read as "factorial of n" or "n factorial."

Hyponyms

• double factorial
• falling factorial
• rising factorial

Related terms

Translations

Adjective

factorial (comparative more factorial, superlative most factorial)

1. (mathematics) Of or pertaining to a factor or factorial.
2. Of or pertaining to a factor, a kind of business agent.
   • 2004, The Digest: Annotated British, Commonwealth, and European Cases

     The latter sold the goods to a customer who was cashier to certain creditors of the agents without disclosing the factorial capacity in which they acted.

3. (dated) Of or pertaining to a factory.

   (Can we find and add a quotation of Buchanan to this entry?)

See also

• primorial

References

• factorial on Wikipedia.Wikipedia

Further reading

• factorial in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• factorial in The Century Dictionary, New York, N.Y.: The Century Co., 1911.

Portuguese

Noun

factorial m (plural factoriais)

1. Superseded spelling of fatorial. (superseded in Brazil by the 1943 spelling reform and by the Orthographic Agreement of 1990 elsewhere. Still used in countries where the agreement hasn’t come into effect and as an alternative spelling in Portugal.)

Adjective

factorial m or f (plural factoriais, comparable)

1. Superseded spelling of fatorial. (superseded in Brazil by the 1943 spelling reform and by the Orthographic Agreement of 1990 elsewhere. Still used in countries where the agreement hasn’t come into effect and as an alternative spelling in Portugal.)

Romanian

Etymology

From French factorielle

Adjective

factorial m or n (feminine singular factorial?, masculine plural factoriali, feminine and neuter plural factoriale)

1. factorial

Declension

Spanish

Noun

factorial m (plural factoriales)

1. (mathematics) factorial

English

Pronunciation

• IPA^(key): /?fæk.??n/, /?fæk.?n?/
• Rhymes: -æk??n

Etymology 1

Borrowed from Middle French faction, from Latin facti? (“a group of people acting together, a political faction”), noun of process from perfect passive participle factus, from faci? (“do, make”). Doublet of fashion.

Noun

faction (countable and uncountable, plural factions)

1. (countable) A group of people, especially within a political organization, which expresses a shared belief or opinion different from people who are not part of the group.
2. (uncountable) Strife; discord.
   • 1805, Johann Georg Cleminius, Englisches Lesebuch für Kaufleute, pg. 188:

     Publick [sic] affairs soon fell into the utmost confusion, and in this state of faction and perplexity, the island continued, until its re-capture by the French in 1779.

   • 2001, Odd Magne Bakke, "Concord and Peace": A Rhetorical Analysis of the First Letter of Clement With an Emphasis on the Language of Unity and Sedition, publ. Mohr Siebeck, ?ISBN, pg. 89:

     He asks the audience if they believe that they will be more loved by the gods if the city is in a state of faction than if they govern the city with good order and concord.

Derived terms

• factional
• factionalize

Related terms

Translations

See also

• splinter group

Etymology 2

Blend of fact +? fiction.

Noun

faction (uncountable)

1. A form of literature, film etc., that treats real people or events as if they were fiction; a mix of fact and fiction

Derived terms

• science faction

Related terms

• fact
• fiction

See also

• Non-fiction novel on Wikipedia.Wikipedia

French

Etymology

Borrowed from Latin facti?, facti?nem. Compare façon, which is inherited rather than borrowed.

Pronunciation

• IPA^(key): /fak.sj??/

Noun

faction f (plural factions)

1. act of keeping watch
2. a watchman
3. (politics) a faction; specifically one which causes trouble

Further reading

• “faction” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).