different between factorial vs fact

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 Superseded spelling of fatorial. (superseded in Brazil by the 1943 spelling reform and by the Orthographic Agreement of 1990 elsewhere.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 Superseded spelling of fatorial. (superseded in Brazil by the 1943 spelling reform and by the Orthographic Agreement of 1990 elsewhere.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

Etymology

From Latin factum (“a deed, act, exploit; in Medieval Latin also state, condition, circumstance”), neuter of factus (“done or made”), perfect passive participle of faci? (“do, make”). Doublet of feat.

Pronunciation

• IPA^(key): /fækt/
• Rhymes: -ækt

Noun

fact (countable and uncountable, plural facts)

1. Something actual as opposed to invented.
2. Something which is real.

   Gravity is a fact, not a theory.

3. Something concrete used as a basis for further interpretation.

4. An objective consensus on a fundamental reality that has been agreed upon by a substantial number of experts.

5. Information about a particular subject, especially actual conditions and/or circumstances.

6. (databases) An individual value or measurement at the lowest level of granularity in a data warehouse.
7. (archaic) Action; the realm of action.
8. (law, obsolete except in set phrases) A wrongful or criminal deed.
   • 1590, Edmund Spenser, The Faerie Queene, III.ix:

     She was empassiond at that piteous act, / With zelous enuy of Greekes cruell fact, / Against that nation [...].

9. (obsolete) A feat or meritorious deed.

Antonyms

• (Something actual): fiction

Derived terms

Related terms

Translations

See also

• value
• opinion
• belief

References

• fact at OneLook Dictionary Search
• fact in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• fact in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
• "Conway: 'Alternative Facts'" Merriam-Webster's Trend Watch Merriam-Webster. 2017.

Interjection

fact

1. Used before making a statement to introduce it as a trustworthy one.

Anagrams

• acft