angular differential imaging (ADI)
tasvigari-ye degarsâne-yi-ye zâviye-yi
Fr.: imagerie différentielle angulaire
A high-contrast imaging technique that reduces minute temporal and spatial → seeing fluctuations and facilitates the detection of faint point sources, in close separation from their stars. It consists of the acquisition of a sequence of images with an → altazimuth mounting telescope while the instrument field derotator is switched off. This keeps the instrument and telescope optics aligned and allows the field of view to rotate with respect to the instrument. For each image, a reference → point spread function (PSF) is constructed from other appropriately selected images of the same sequence and subtracted to remove quasistatic PSF structure (Marois et al. 2006, ApJ 641, 556).
→ angular; → differential; → imaging.
Fr.: binôme différentiel
An expression of the form xm(a + bxn)pdx, where m, n, p, a, and b are constants.
→ binomial; → differential.
1) degarsâné; 2) degarsâneyi
From M.L. differentialis, from differenti(a), → difference, + → -al.
Degarsâné, from degarsân, → different + noun suffix -é.
differential and integral calculus
afmârik-e degarsâne-yi va dorostâli
Fr.: calcul différentiel et intégral
The two branches of mathematics that make up the → calculus. → differential calculus; → integral calculus.
→ differential; → integral; → calculus.
afmârik-e degarsâneyi, ~ degarsânehâ
Fr.: calcul différentiel
A branch of calculus which is concerned with the instantaneous rate of change of quantities with respect to other quantities, or more precisely, the local behavior of functions. → integral calculus.
→ differential; → calculus.
Fr.: équation différentielle
An equation expressing a relationship between an → independent variable, x, an unknown → function, y = f(x), and its → derivatives. The general form of a differential equation is: F(x, y, y', y'', ..., y(n)) = 0, or F(x,y, dy/dx, d2y/dx2, ..., dny/dxn) = 0. See also: → ordinary differential equation; → partial differential equation; → linear differential equation; → exact differential equation; → first-order differential equation; → homogeneous linear differential equation; → nonhomogeneous linear differential equation; → differential equation with separated variables; → differential equation with separable variables.
→ differential; → equation.
differential equation with separable variables
hamugeš-e degarsâne-yi bâ vartandehhâ-ye jodâyi-pazir
Fr.: équation différentielle à variables séparables
A → differential equation of the form: M1(x) N1(y) dx + M2(x) N2(y) dy = 0, which can be reduced to a → differential equation with separated variables.
→ differential; → equation; → separate; → variable.
differential equation with separated variables
hamugeš-e degarsâne-yi bâ vartandehhâ-ye jodâ
Fr.: équation différentielle à variables séparées
A → differentail equation that can be transformed into the form: M(x)dx + N(x)dy = 0.
→ differential; → equation; → separate; → variable.
Fr.: géométrie différentielle
The study of curved spaces using differential calculus.
→ differential; → geometry.
differential image motion monitor (DIMM)
pahregar-e jonbeš-e degarsâneyi-ye vine, ~ ~ ~ tasvir
Fr.: moniteur de mouvements d'images différentiels, moniteur seeing
A device that is commonly used to measure the → seeing at optical astronomical sites. The DIMM delivers an estimate of the → Fried parameter based on measuring the variance of the differential image motion in two small apertures, usually cut out in a single larger telescope pupil by a mask. The DIMM concept was introduced by Stock & Keller (1960, in Stars and Stellar Systems, Vol. 1, ed. G. P. Kuiper & B. M. Middlehurst, p. 138), whereas its modern implementation was first described by Sarazin & Roddier (1990, A&A 227, 294).
→ differential; → image; → motion; → monitor.
Fr.: refraction différentielle
A problem encountered in astronomical spectroscopy, which consists of a loss of light from some wavelengths due to → atmospheric dispersion. In simple terms, differential refraction means that at nonzero → zenith distances an object cannot be simultaneously placed at the same position within a → slit at all wavelengths. This problem becomes more important for increasing → airmass, larger → spectral range, and smaller → slitwidths. To remedy this drawback, the slit should always be oriented along a direction perpendicular to the horizon, since differential refraction occurs in that direction.
→ differential; → refraction.
Fr.: rotation différentielle
1) Of a single body (such as a star or a gaseous planet), the axial rotation of
equatorial latitudes faster than polar latitudes.
→ differential; → rotation.
differentially rotating system
râžmân-e degarsâné carxân
Fr.: système en rotation différentielle
A system characterized by → differential rotation. In such a system the → angular velocity decreases as the distance from the rotation center increases.
→ differential; → rotating; → system.
Fr.: différentielle exacte
If N(x,y) is a → function of two → independent variables, then dN = (∂N/∂x)dx + (∂N/∂y)dy is the exact differential.
→ exact; → differential.
exact differential equation
hamugeš-e degarsâneyi-ye razin
Fr.: équation différentielle exacte
A → differential equation composed of → continuous → differentiable functions for which certain conditions are fulfilled. The equation M(x,y)dx + N(x,y)dy = 0 is called exact if M(x,y) and N(x,y) are continuous differentiable functions for which the following relationship is fulfilled: ∂M/∂y = ∂N/∂x, and ∂M/∂y and ∂N/∂x are continuous in some region.
→ exact; → differential; → equation.
first-order differential equation
hamugeš-e degarsâne-yi-ye râye-ye naxost
Fr.: équation différentielle du premier ordre
A → differential equation containing only the first → derivative. For example, dy/dx = 3x and 2y(dy/dx) + 3x = 5.
→ first; → order; → differential; → equation.
homogeneous linear differential equation
hamugeš-e degarsâne-yi-ye xatti hamgen
Fr.: équation différentielle linéaire homogène
A → linear differential equation if the right-hand member is zero, Q(x) = 0, on interval I.
→ homogeneous; → linear; → differential; → equation.
linear differential equation
hamugeš-e degarsâne-yi-ye xatti
Fr.: équation différentielle linéaire
An equation in which the → dependent variable y
and all its differential coefficients occur only
in the first degree. A linear differential equation of → order
order n has the form:
→ linear; → differential; → equation.
linearized differential equation
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.
nonhomogeneous linear differential equation
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.