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: 4 Search : linearly
linearly
  خطانه   
xattâné

Fr.: linéairement   

In a manner characterized by first-degree algebraic terms.

Adverb of → linear.

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.

linearly polarized light
  نور ِ قطبیده‌ی ِ خطی   
nur-e qotbide-ye xatti

Fr.: lumière polarisée linéairement   

Light exhibiting → linear polarization.

linearly; → polarized; → light.