An Etymological Dictionary of Astronomy and Astrophysics

فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory



Number of Results: 20 Search : distribution
binomial distribution
  واباژش ِ دونامین   
vâbâžeš-e donâmin

Fr.: 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-Einstein

Fr.: 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 deraxšandegi

Fr.: distribution de brillance   

A statistical distribution of the brightness of an astronomical extended object.

brightness; → distribution.

Vâbâžeš, → distribution; deraxšandegi, → brightness.

chi-square distribution
  واباژش ِ خی-دو   
vâbâžeš-e Xi-do

Fr.: 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 kumeši

Fr.: 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.

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 vâbâžeš

Fr.: 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 vâbâžešhâ

Fr.: 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 Gibbs

Fr.: distribution canonique de Gibbs   

The probability distribution of the various possible states of a certain → quasi-closed subsystem.

Gibbs free energy; → canonical; → distribution.

halo occupation distribution (HOD)
  واباژش ِ هگش ِ هاله   
vâbâžeš-e hageš-e hâlé

Fr.: 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-hanjârvar

Fr.: distribution logarithmico-normale   

A → probability distribution in which the natural logarithm (logX) of the → random variable (X) has a → Gaussian distribution.

logarithm; → normal distribution.

Maxwell-Boltzmann distribution
  واباژش ِ ماکسول-بولتسمان   
vibâžš-e Maxwell-Boltzmann

Fr.: 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 felezigi

Fr.: 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 hanjârvar

Fr.: 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 Planck

Fr.: 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 Poisson

Fr.: 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)/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 tavâni

Fr.: 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 šavânâyi

Fr.: 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.

spectral energy distribution (SED)
  واباژش ِ کاروژ ِ بینابی   
vâbâžeš-e kâruž-e binâbi

Fr.: distribution de l'énergie spectrale   

A plot showing the energy emitted by a source as a function of the radiation wavelength or frequency. It is used in many branches of astronomy to characterize astronomical sources, in particular mainly in → near infrared and → middle infrared to study → protostars or → young stellar objects. The SED of these objects is divided in four classes.
Class 0 in which the SED represents a very embedded protostar, where the mass of the central core is small in comparison to the mass of the → accreting envelope. The SED is characterized by the → blackbody radiation of the envelope and peaks at → submillimeter wavelengths.
Class I objects possess a SED that peaks in the → far infrared and is characterized by a weak contribution of the blackbody of the central protostar (detected in near infrared) and the emission of a thick disk and dense envelope. These objects have less mass in the envelope and more massive central cores with respect to Class 0.
Class II objects are the → classical T Tauri stars with a SED due to the emission of a thin disk and the central star. They have accumulated most of their final mass and have dispersed almost completely their circumstellar envelope.
Finally, Class III objects have pure photospheric spectra. Their SED is peaked in the optical and is well approximated by a blackbody emission with a faint → infrared excess due to the presence of a residual optically thin disk that may be the origin of → planetesimals.
This classification scheme can be made more quantitative by defining a → spectral index.

spectral; → energy; → distribution.