# 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: 21 Search : distribution
 binomial distribution   واباژش ِ دونامین   vâbâžeš-e donâminFr.: distribution binomiale   A probability distribution for independent events for which there are only two possible outcomes i.e., success and failure. The probability of x successes in n trials is: P(x) = [n!/x!(n - x)!] px.qn - x, where p is the probability of success and q = 1 - p the probability of failure on each trial. These probabilities are given in terms of the → binomial theorem expansion of (p + q)n.→ binomial; → distribution. Bose-Einstein distribution   واباژش ِ بوز-اینشتین   vâbâžeš-e Bose-EinsteinFr.: distribution de Bose-Einstein   For a → population of independent → bosons, a function that specifies the number of particles in each of the allowed → energy states.→ boson; → Einstein; → distribution. brightness distribution   واباژش ِ درخشندگی   vâbâžeš-e deraxšandegiFr.: distribution de brillance   A statistical distribution of the brightness of an astronomical extended object.Vâbâžeš, → distribution; deraxšandegi, → brightness. charge distribution   واباژش ِ بار   vâbâžeš-e bârFr.: distribution des charges   The way a number of → electric charges are arranged in space with respect to the point of observation.→ charge; → distribution. chi-square distribution   واباژش ِ خی-دو   vâbâžeš-e Xi-doFr.: loi du chi-deux   A probability density function, denoted χ2, that gives the distribution of the sum of squares of k independent random variables, each being drawn from the normal distribution with zero mean and unit variance. The integer k is the number of degrees of freedom. The distribution has a positive skew; the skew is less with more degrees of freedom. As degrees of freedom increase, the chi-square distribution approaches a normal distribution. The most common application is chi-square tests for goodness of fit of an observed distribution to a theoretical one. If χ2 = 0 the agreement is perfect.Chi Gk. letter of alphabet; → square; → distribution.Vâbâžeš, → distribution; do, → two. 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. distribution   واباژش   vâbâžeš (#)Fr.: distribution   An act or instance of distributing; the state or manner of being distributed; something that is distributed. → binomial distribution, → Bose-Einstein distribution, → brightness distribution, → chi-square distribution, → cumulative distribution function, → distribution function, → Gaussian distribution, → Gibbs canonical distribution, → lognormal distribution, → Maxwell-Boltzmann distribution, → normal distribution, → Poisson distribution, → power-law distribution, → probability distribution, → spectral energy distribution.Verbal noun of → distribute 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. family of distributions   خانواده‌ی ِ واباژش‌ها   xânevâde-ye vâbâžešhâFr.: famille de distributions   A set of distributions which have the same general mathematical → formula.→ family; → distribution. Gaussian distribution   واباژش ِ گاؤسی   vâbâžeš-e Gaussi (#)Fr.: distribution gaussienne   A theoretical frequency distribution for a set of variable data, usually represented by a bell-shaped curve with a mean at the center of the curve and tail widths proportional to the standard deviation of the data about the mean.→ Gaussian; → distribution. Gibbs canonical distribution   واباژش ِ هنجاروار ِ گیبس   vâbâžeš-e hanjârvâr-e GibbsFr.: distribution canonique de Gibbs   The probability distribution of the various possible states of a certain → quasi-closed subsystem. halo occupation distribution (HOD)   واباژش ِ هگش ِ هاله   vâbâžeš-e hageš-e hâléFr.: distribution d'occupation de halo   The → probability distribution of the → number of galaxies that a host → dark matter halo of a given mass contains. HOD is a powerful theoretical frame to populate dark matter halos with luminous galaxies. More specifically, it describes the bias between galaxies and dark matter by specifying (a) the probability P(N|M) that a halo of → virial mass M contains N galaxies of a particular class and (b) the relative spatial and velocity distributions of galaxies and dark matter within halos.→ halo; → occupation; → distribution. lognormal distribution   واباژش ِ لگاریتمی-هنجارور   vâbâžeš-e logâritmi-hanjârvarFr.: distribution logarithmico-normale   A → probability distribution in which the natural logarithm (logX) of the → random variable (X) has a → Gaussian distribution. Maxwell-Boltzmann distribution   واباژش ِ ماکسول-بولتسمان   vibâžš-e Maxwell-BoltzmannFr.: distribution de Maxwell-Boltzmann   The distribution law for kinetic energies (or, equivalently, speeds) of molecules of an ideal gas in equilibrium at a given temperature.→ maxwell; → Boltzmann's constant; → distribution. metallicity distribution function (MDF)   کریای ِ واباژش ِ فلزیگی   karyâ-ye vâbâžeš-e felezigiFr.: fonction de distribution de métallicité   A plot representing the number of stars (or systems) per metallicity interval, usually expressed in [Fe/H] (abundance of → iron relative to → hydrogen).→ metallicity; → distribution; → function. normal distribution   واباژش ِ هنجارور   vâbâžeš-e hanjârvarFr.: distribution normale   A theoretical frequency distribution for a set of variable data, usually represented by a bell-shaped curve with a mean at the center of the curve and tail widths proportional to the standard deviation of the data about the mean. Same as → Gaussian distribution.→ normal; → distribution. Planck distribution   واباژش ِ پلانک   vâbâžeš-e PlanckFr.: distribution de Planck   The distribution of radiation with wavelength for a blackbody, given by → Planck's radiation law.→ Planck; → distribution. Poisson distribution   واباژش ِ پو‌آسون   vâbâžeš-e PoissonFr.: distribution de Poisson   A → probability function that characterizes → discrete  → random events occurring independently of one another within some definite time or space. It may be regarded as an approximation of the → binomial distribution when the number of events becomes large and the probability of success becomes small. The Poisson distribution is expressed by: f(x) = (λxe-λ)/x!, where λ is the mean number of successes in the interval, e is the base of the → natural logarithm, and x is the number of successes we are interested in.Named after Siméon Denis Poisson (1781-1840), French mathematician, who developed the application of Fourier series to physical problems and made major contributions to the theory of probability and to the calculus of variations; → distribution. power-law distribution   واباژش با قانون ِ توانی   vâbâžeš bâ qânun-e tavâniFr.: distribution en loi de puissance   For a → random variable X, any → distribution which has the form: P(X ≥ x) = (k/x)α, where x is a value in the range defined for X, k > 0 is a parameter termed location parameter, and α > 0 is the → slope parameter.→ power; → law; → distribution. probability distribution   واباژش ِ شوانایی   vâbâžeš-e šavânâyiFr.: distribution de probabilité   The function that describes the range of possible values that a random variable can attain and the probability that the value of the random variable is within any (measurable) subset of that range.→ probability; → distribution.

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