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: 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 vâbasté

Fr.: 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 nâvâbasté

Fr.: 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 vâbasté

Fr.: 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 nâvâbasté

Fr.: 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.