An Etymological Dictionary of Astronomy and Astrophysics
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فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 3 Search : necessary
necessary
  بایسته   
bâyesté (#)

Fr.: nécessaire   

1) Being essential or indispensable.
2) Logic, Math.: A condition which must hold for a result to be true, but which does not guarantee it to be true. → if and only if.

M.E. necessaire, from L. necessarius "unavoidable," , from necesse "unavoidable, indispensable," from ne- "not," → un-, + cedere "to withdraw, go away, yield," → precession.

Bâyesté, p.p. of bây-, bâyestan "to be necessary," from Mid.Pers. abây-, abâyistan "to be necessary" (abâyišn "necessity," abâyišnig "necessary"), from Proto-Ir. *upa-aya- "to reach," from upa-, → hypo-, + ay- "to go, to come," → precession.

necessary and sufficient conditions
  بوتارهای ِ بایسته و بسنده   
butârhâ-ye bâyesté o basandé

Fr.: conditions nécessaire et suffisante   

If event A must occur for event B to occur, then it is said that A is → necessary for B. If event A may cause B but there could be some other cause as well, then it is said that A is sufficient to cause B. See also → if and only if (iff).

necessary; → and; → sufficient; → condition.

necessary truth
  راستینی ِ بایسته   
râstini-ye bâyesté

Fr.: vérité nécessaire   

Logic: A → proposition if its → denial is self-contradictory. Also called "logical truth" and "non-contingent truth."

necessary; → truth.