# 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: 8 Search : dependent
 dependent   وابسته   vâbasté (#)Fr.: dépendant   1) General: Determined or conditioned by something else. 2) Math.: A variable whose value depends on the value assigned to another variable. 3) Statistics: An event which is not independent.M.E. dependant, from M.Fr., pr.p. of dépendre, from L. dependere, from → de- + pendere "to hang, be suspended," PIE base *(s)pen(d)- "to pull, stretch."Vâbasté, from vâ-→ de- + basté p.p. of bastan "to bind, shut," from Mid.Pers. bastan/vastan "to bind, shut," Av./O.Pers. band- "to bind, fetter," banda- "band, tie," cf. Skt. bandh- "to bind, tie, fasten," PIE *bhendh- "to bind" (Ger. binden, E. bind). dependent variable   ورتنده‌ی ِ وابسته   vartande-ye vâbastéFr.: variable dépendante   Math.: A variable whose value depends on the value assigned to another value. For example, in the equation y = 2x, the value of y depends on that of x. See also → independent variable.→ dependent; → variable. independent   ناوابسته   nâvâbasté (#)Fr.: indépendant   Not dependent.From negation prefix → in- + → dependent. independent events   رویدادهای ِ ناوابسته   ruydâdhâ-ye nâvâbasté (#)Fr.: événements indépendants   Statistics: Two events if the occurrence of one of them gives no → information about whether or not the other event will occur; these events have no influence on each other.→ independent; → event. independent random variables   ورتنده‌های ِ کاتوره‌ی ِ ناوابسته   vatandehâ-ye kâture-ye nâvâbastéFr.: variables aléatoires indépendantes   Statistics: Two random variables X and Y if and only if the value of X has no influence on the value of Y and vice versa.→ dependent; → random; → variable. independent variable   ورتنده‌ی ِ ناوابسته   Fr.: variable indépendante   Math.: A variable whose value determines the value of other variables. For example, x, in the expression y = f(x), is the independent variable. See also → dependent variable.→ independent; → variable. linearly dependent   خطانه وابسته   xattâné vâbastéFr.: linéairement dépendant   A set of objects x1, x2, ..., xn (→ vectors, → matrices, → polynomials, etc.) on a given set if there is a linear combination of them: a1x1 + a2x2 + ... + anxn, which is zero, but at least one of the coefficients is non-zero. For example the binomials (2x + y) and (6x + 3y) are linearly dependent, since 3(2x + y) - (6x + 3y) = 0.→ linearly; → dependent. linearly independent   خطانه ناوابسته   xattâné nâvâbastéFr.: linéairement indépendant   1) A set of objects x1, x2, ..., xn (→ vectors, → matrices, → polynomials, etc.) if it si not → linearly dependent. 2) Of two particular solutions (y1, y2) of a → homogeneous linear differential equation of the second order (y'' + a1 y' + a2y = 0) on an interval [a, b], if their ratio in this interval is not a constant: y1/y2≠ constant.→ linearly; → independent.