# 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: 4 Search : linearly
 linearly   خطانه   xattânéFr.: linéairement   In a manner characterized by first-degree algebraic terms.Adverb of → linear. 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. linearly polarized light   نور ِ قطبیده‌ی ِ خطی   nur-e qotbide-ye xattiFr.: lumière polarisée linéairement   Light exhibiting → linear polarization.→ linearly; → polarized; → light.