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: 77 Search : function
 algebraic function   کریای ِ جبری   karyâ-ye jabriFr.: fonction algébrique   A function expressed in terms of → polynomials and/or roots of polynomials. In other words, any function y = f(x) which satisfies an equation of the form P0(x)yn + P1(x)yn - 1 + ... + Pn(x) = 0, where P0(x), P1(x), ..., Pn(x) are polynomials in x.→ algebraic + → function. analytic function   کریای ِ آنالسی   karyâ-ye ânâlasiFr.: fonction analytique   A function which can be represented by a convergent → power series.→ analytic; → function. autocorrelation function   کریا‌ی ِ خودهم‌باز‌آنش   karyâ-ye xod-hambâzânešFr.: fonction d'autocorrélation   A mathematical function that describes the correlation between two values of the same variable at different points in time. autocovariance function   کریای ِ خود-هم‌ورتایی   karyâ-ye xod-hamvartâyiFr.: fonction d'autocovariance   The autocovariance function (ACF) is defined as the sequence of covariances of a stationary process. A mathematical function that expresses the autocovariance of a series in terms of the interval of separation. bounded function   کریای ِ کرانمند، ~ کراندار   karyâ-ye karânmand, ~ karândârFr.: fonction bornée   The function y = f(x) in a given range of the argument x if there exists a positive number M such that for all values of x in the range under consideration the inequality | f(x) | ≤ M will be fulfilled. → unbounded function.→ bounded; → function. Brillouin function   کریای ِ بری‌یویءن   karyâ-ye BrillouinFr.: fonction de Brillouin   A mathematical function appearing in the → magnetization equation of a → paramagnetic substance.→ Brillouin zone; → zone. cluster mass function (CMF)   کریای ِ جرم ِ خوشه   karyâ-ye jerm-e xušéFr.: fonction de masse d'amas   An empirical power-law relation representing the number of clusters as a function of their mass. It is defined as: N(M)dM ∝ M -αdM, where the exponent α has an estimated value of about 2 and dM is the mass interval. It is believed that this is a universal law applying to a variety of objects including globular clusters, massive young clusters, and H II regions.→ cluster; → mass; → function. collapse of the wave function   رمبش ِ کریای ِ موج   rombeš-e karyâ-ye mowjFr.: effondrement de la fonction d'onde   The idea, central to the → Copenhagen Interpretation of quantum theory, whereby at the moment of observation the → wave function changes irreversibly from a description of all of the possibilities that could be observed to a description of only the event that is observed. More specifically, quantum entities such as electrons exist as waves until they are observed, then "collapse" into point-like particles. According to the Copenhagen Interpretation, observation causes the wave function to collapse. However it is not known what causes the wave function to collapse. Same as → wave collapse.→ collapse; → wave function. complex function   کریای ِ همتافت   karyâ-ye hamtâftFr.: fonction complexe   A function whose → variables are → complex numbers.→ complex; → function. continuous function   کریای ِ پیوسته   karyâ-ye peyvastéFr.: fonction continue   The function y = f(x) is called continuous at the point x = x0 if it is defined in some neighborhood of the point x0 and if lim Δy = 0 when Δx → 0.→ continuous; → function. core mass function (CMF)   کریای ِ جرم ِ مغزه   karyâ-ye jerm-e maqzéFr.: fonction de masse des cœurs   The mass distribution of → pre-stellar cores in → star-forming regions. The CMF is usually represented by dN/dM = Mα, where dM is the mass interval, dN the number of cores in that interval, and α takes different values in different mass ranges. In the case of → low-mass stars, it is found that the CMF resembles the → Salpeter function, although deriving the masses and radii of pre-stellar cores is not straightforward. The observational similarity between the CMF and the → initial mass function (IMF) was first put forth by Motte et al. (1988, A&A, 336, 150), and since then many other samples of dense cores have been presented in this context. For example, Nutter & Ward-Thompson (2007, MNRAS 374, 1413), using SCUBA archive data of the Orion star-forming regions, showed that the CMF can be fitted to a three-part → power law consistent with the form of the stellar IMF. Recent results, obtained using observations by the → Herschel Satellite, confirm the similarity between the CMF and IMF with better statistics (Könyves et al. 2010, A&A, 518, L106; André et al. 2010, A&A, 518, L102). Moreover, these works show that the CMF has a → lognormal distribution (i.e. dN/dlog M follows a → Gaussian form against log M), as is the case for the IMF at low masses (below about 1 solar mass).→ core; → mass; → function. cubic function   کریای ِ کابی   karyâ-ye kâbiFr.: fonction cubique   A function defined by a → polynomial of → degree three. Its generalized form is: f(x) = ax3 + bx2 + cx + d, where a, b, c and d are constants, and a≠ 0.→ cubic; → function. cumulative distribution function   کریای ِ واباژش ِ کومشی   karyâ-ye vâbâžeš-e kumešiFr.: fonction de distribution cumulée   A function that gives the probability that a → random variable X is less than or equal to x, at each possible outcome: F(x) = P(X ≤ x), for -∞ < x < ∞. Same as → distribution function.→ cumulative; → distribution; → function. delta function   کریای ِ دلتا   karyâ-ye deltaFr.: fonction delta   Same as → Dirac function. dense core mass function   کریای ِ جرم ِ مغزه‌ی ِ چگال   karyâ-ye jerm-e maqze-ye cagâlFr.: fonction de masse des cœurs denses   → dense; → core; → mass; → function. differentiable function   کریای ِ دگرسانی‌پذیر، ~ دگرسانیدنی   karyâ-ye degarsânipazir, ~ degarsânidaniFr.: différentiable   Property of a mathematical function if it has a → derivative at a given point.From → differentiable; → function. Dirac function   کریای ِ دیراک   karyâ-ye DirâkFr.: fonction de Dirac   A function of x defined as being zero for all values of x other than x = x0 and having the definite integral from x = -∞ to x = +∞ equal to unity.→ Dirac; → function distance function   کریای ِ اپست   karyâ-ye apestFr.: fonction de distance   Same as → metric.→ distance + → function. distribution function   کریای ِ واباژش   karyâ-ye vâbâžešFr.: fonction de distribution   A function that gives the relative frequency with which the value of a statistical variable may be expected to lie within any specified interval. For example, the Maxwellian distribution of velocities gives the number of particles, in different velocity intervals, in a unit volume.→ distribution; → function. eigenfunction   ویژکریا   viž-karyâFr.: fonction propre   1) Math.: An → eigenvector for a linear → operator on a → vector space whose vectors are → functions. Also known as proper function. 2) Quantum mechanics: A → wave function corresponding to an → eigenvalue. Eigenfunctions represent the stationary → quantum states of a system.From Ger. Eigenfunktion, from eigen- "characteristic, particular, own" (from P.Gmc. *aigana- "possessed, owned," Du. eigen, O.E. agen "one's own") + → function.Viž-karyâ, from viž, contraction of vižé "particular, charcteristic" + karyâ, → function. Vižé, from Mid.Pers. apēcak "pure, sacred," from *apa-vēcak "set apart," from prefix apa- + vēcak, from vēxtan (Mod.Pers. bixtan) "to detach, separate, sift, remove," Av. vaēk- "to select, sort out, sift," pr. vaēca-, Skt. vic-, vinakti "to sift, winnow, separate; to inquire."

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