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: 43 Search : linear
linear regression
  وایازی ِ خطی   
vâyâzi-ye xatti

Fr.: regression linéaire   

In statistics, a regression method that establishes a linear relationship between two random variables.

linear; → regression.

linear size
  اندازه‌ی ِ خطی   
andâze-ye xatti

Fr.: taille linéaire   

The real, physical size, as opposed to angular size.

linear; → size.

linear system
  راژمان ِ خطی   
râžmân-e xatti

Fr.: système linéaire   

Physics: A → dynamical system whose evolution is a linear process. If a change in any variable at some initial time produces a change in the same or some other variable at some later time, twice as large a change at the same initial time will produce twice as large a change at the same later time.

linear; → system.

linear velocity
  تندای ِ خطی   
tondâ-ye xatti

Fr.: vitesse linéaire   

The rate of change of the position of an object that is traveling along a straight path. In other words, the velocity of an object when its moving direction is not changing. For a given → angular velocity (ω), the linear velocity v of the particle is directly proportional to the distance of the particle from the center of the circular path: v = ω ×r.

linear; → velocity.

linearity
  خطیگی   
xattigi

Fr.: linéarité   

The property, condition, or state of being linear.
Math.: A relationship between two variables so that when plotted on a graph they yield a straight line.

linear; → -ity.

linearization
  خطش، خطانش   
xatteš, xattâneš

Fr.: linéarisation   

A process of reduction to linear form by appropriate change of variables or by approximation.

Verbal noun of → linearize.

linearize
  خطیدن، خطانیدن   
xattidan, xattânidan

Fr.: linéariser   

To make linear; give linear form to.

linear + → -ize.

linearized differential equation
  هموگش ِ دگرسانه‌ای ِ خطی   
hamugeš-e degarsâneyi-ye xatti

Fr.: équation différentielle linéarisée   

A differential equation that has been derived from an original nonlinear equation.

Linearized, p.p. of → linearize; → differential; → equation.

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.

nonhomogeneous linear differential equation
  هموگش ِ دگرسانه‌ای ِ خطی ناهمگن   
hamugeš-e degarsâne-yi-ye xatti nâhamgen

Fr.: équation différentielle linéaire non homogène   

A → linear differential equation if Q(x)≠ 0 on interval I.

nonhomogeneous; → linear; → differential; → equation.

nonlinear
  ناخطی   
nâxatti (#)

Fr.: non-linéaire   

Not a linear function of the relevant variables.
Containing a variable with an exponent other than one; opposite of → linear.

non-; → linear.

nonlinear device
  دستگاه ِ ناخطی   
dastgâh-e nâxatti

Fr.: dispositif non-linéaire   

An electronic device whose output is not directly proportional to its input. For example, in a → diode the current is a nonlinear function of the voltage; its voltage-current characteristics do not obey → Ohm's law.

nonlinear; → device.

nonlinear dynamics
  توانیک ِ ناخطی   
tavânik-e nâxatti

Fr.: dynamique non-linéaire   

Same as → chaos.

nonlinear; → dynamics.

nonlinear instability
  ناپایداری ِ ناخطی   
nâpâydâri-ye nâxatti

Fr.: instabilité non-linéaire   

The instability of a physical or mathematical system that arises from the nonlinear nature of relevant variables and their interactions within the system.

nonlinear; → instability.

nonlinear system
  راژمان ِ ناخطی   
râžmân-e nâxatti

Fr.: système non-linéaire   

A system in which small changes can result in large effects, and large changes in small effects.

nonlinear; → system.

nonlinearity
  ناخطیگی   
nâxattigi

Fr.: non-linéarité   

The property, condition, or state of being → nonlinear.

non-; → linearity.

quasi-linear theory
  نگره‌ی ِ چونان-خطی   
negare-ye cunân-xatti

Fr.: théorie quasi-linéaire   

In plasma physics, the theory that considers the interactions between waves and particles are of first order only. It ignores all terms of second order in the fluctuating quantities.

quasi-; → linear; → theory.

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