differential and integral calculus
afmârik-e degarsâne-yi va dorostâli
Fr.: calcul différentiel et intégral
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.
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 with separable variables
hamugeš-e degarsâne-yi bâ vartandehhâ-ye jodâyi-pazir
Fr.: équation différentielle à variables séparables
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.
Fr.: géométrie différentielle
The study of curved spaces using differential calculus.
differential image motion monitor (DIMM)
pahregar-e jonbeš-e degarsâneyi-ye 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).
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.
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.
differentially rotating system
râžmân-e degarsâné carxân
Fr.: système en rotation différentielle
To perceive or show the difference in or between.
M.L. differentiatus "distinguished," p.p. of differentiare.
Degarsânidan, verbal form of → difference.
Fr.: intérieur différencié
A description of a planet's interior which is composed of a rocky, dense inner core and a less dense outer crust.
šaxâne-ye degarsânidé, šahâbsang-e ~
Fr.: météorite différenciée
A meteorite that has distinctly separated stone, metal, and glass. It is derived from a differentiated parent body and hence not primitive. The parent body accreted surrounding material until it was large enough to start melting in the middle. The denser metals sank to the center and the stones and glasses floated to the top. A differentiated meteorite made completely of metal comes from the center of a parent meteoroid which was broken apart. → undifferenciated meteorite.
Fr.: (Math.) dériver; (Astro.) différenciation
1) Math.: The operation of finding the → derivative
of a function.
Verbal noun of → differentiate.
Verbal form of → diffraction.
A wave property of light which allows it to curl around obstacles whose size is
about that of the wavelength of the light. As a → wavefront
of light passes by an opaque edge or through an opening, secondary weaker wavefronts
are generated, apparently originating at that edge. These secondary wavefronts will interfere
with the primary wavefront as well as with each other to form a
→ diffraction pattern.
From Fr. diffraction, from Mod.L. diffractionem, from L. diffrac-, stem of diffringere "break in pieces," from → dis- "apart" + frangere "to break."
Parâš "dispersion, scattering," variant of pâš, pâšidan, → dispersion.
turi-ye parâš (#)
Fr.: réseau de diffraction
An optical device containing thousands of very fine parallel grooves which produce interference patterns in a way which separates out all the components of the light into a spectrum.
olgu-ye parâš (#)
Fr.: tache de diffraction
A series of concentric rings of dark and light color produced by interference.
Olgu, loanword from Turkish; parâš→ diffraction.
Fr.: aigrette de diffraction
One of several light rays emanating from a bright light source in images taken with → reflecting telescopes. They are artifacts caused by light diffracting around the support or → spider vanes of the → secondary mirror.
karânmand bé parâš
Fr.: limité par la diffraction