linear programming barnâme-sâzi-ye xatti (#) Fr.: programmation linéaire A procedure for finding the maximum or minimum of a → linear function where the → arguments are subject to linear → constraints. For problems involving more than two variables or problems involving a large number of constraints, solution methods used are those that are adaptable to computers. A well-known such → algorithm is the → simplex method. → linear; → programmings. |
linear regression vâyâzi-ye xatti Fr.: regression linéaire In statistics, a regression method that establishes a linear relationship between two random variables. → linear; → regression. |
linear size andâze-ye xatti Fr.: taille linéaire The real, physical size, as opposed to angular size. |
linear system râžmân-e xatti Fr.: système linéaire Physics: A → dynamical system whose evolution is a linear process. If a change in any variable at some initial time produces a change in the same or some other variable at some later time, twice as large a change at the same initial time will produce twice as large a change at the same later time. |
linear velocity tondâ-ye xatti Fr.: vitesse linéaire The rate of change of the position of an object that is traveling along a straight path. In other words, the velocity of an object when its moving direction is not changing. For a given → angular velocity (ω), the linear velocity v of the particle is directly proportional to the distance of the particle from the center of the circular path: v = ω ×r. |
linearity xattigi Fr.: linéarité The property, condition, or state of being linear. |
linearization xatteš, xattâneš Fr.: linéarisation A process of reduction to linear form by appropriate change of variables or by approximation. Verbal noun of → linearize. |
linearize xattidan, xattânidan Fr.: linéariser To make linear; give linear form to. |
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. |
linearly xattâné Fr.: linéairement In a manner characterized by first-degree algebraic terms. Adverb of → linear. |
linearly dependent xattâné vâbasté Fr.: linéairement dépendant A set of objects x_{1}, x_{2}, ..., x_{n} (→ vectors, → matrices, → polynomials, etc.) on a given set if there is a linear combination of them: a_{1}x_{1} + a_{2}x_{2} + ... + a_{n}x_{n}, which is zero, but at least one of the coefficients is non-zero. For example the binomials (2x + y) and (6x + 3y) are linearly dependent, since 3(2x + y) - (6x + 3y) = 0. |
linearly independent xattâné nâvâbasté Fr.: linéairement indépendant 1) A set of objects x_{1}, x_{2}, ..., x_{n}
(→ vectors, → matrices,
→ polynomials, etc.) if it si not
→ linearly dependent. → linearly; → independent. |
linearly polarized light nur-e qotbide-ye xatti Fr.: lumière polarisée linéairement Light exhibiting → linear polarization. |
near nazdik (#) Fr.: proche Close; to a point or place not far away. O.E. near "closer, nearer," comparative of neah, neh "nigh." Nazdik, from Mid.Pers. nazdik "near," from nazd "close" (Mid.Pers. nazd, nazdik "near," nazdist "first;" O.Pers. ašna- "close;" Av. nazdišta- "nearest, next," nazdyo "nearer to," nas- "to come near, approach, reach;" cf. Skt. nédīyas- "closer, very close," nas- "to approach, to reach") + -ik, → -ic. |
near ultraviolet farâbanafš-e nazdik (#) Fr.: proche ultraviolet The longest wavelengths of the ultraviolet region, which are adjacent to the visible, from 200 to 350 nm. → near; → ultraviolet. |
near-Earth asteroid (NEA) sayyârak-e zamin-nazdik Fr.: astéroïde géocroiseur An → asteroid whose orbit lies partly between 0.983 and 1.3 → astronomical units from the Sun, so that it passes close to the Earth. Currently thousands of near-Earth asteroids are known, ranging in size up to about 30 km. Among them, there are between 500 and 1,000 such asteroids larger than one km in diameter. They are divided into three subclasses: → Amor asteroids, → Apollo asteroids, and → Aten asteroids. See also → near-Earth object. |
near-Earth object (NEO) barâxt-e zamin-nazdik Fr.: géocroiseur An → asteroid, → comet, or large → meteoroid whose orbit brings it exceptionally close to the Earth, and which may therefore pose a collision danger. Most such objects are in orbits around the Sun with → perihelion distance less than 1.3 → astronomical units. See also → near-Earth asteroid. |
near-infrared forusorx-e nazdik (#) Fr.: proche infrarouge That region of the → electromagnetic spectrum covering shorter infrared wavelengths. It contains the → infrared windows between about 0.8 and 8 → microns, but the longer wavelength limit is not well defined. See also: → infrared radiation, → mid-infrared, → far-infrared, → submillimeter radiation. |
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. |
nonlinear nâxatti (#) Fr.: non-linéaire Not a linear function of the relevant variables. |