Fr.: algèbre associative
An algebra whose multiplication is associative.
Fr.: axiome d'associativité
A basic rule in → group theory stating that if a, b and c are members of a group then (a * b) * c and a * (b * c) are members of the group.
Fr.: loi associative
In mathematics, the rule that states that the result of two identical operations is independent of the sequence of these operations. For ex., in the addition operation, a + (b + c) = (a + b) + c = a + b + c. Multiplication of numbers is also associative.
Of or relating to association; state of being associative.
âgarbidan, farz kardan, farzidan (#)
To take as granted or true; suppose.
M.E., from L. assumere "to take up," from ad- "to, up" + sumere "to take," from sub "under" + emere "to take."
Âgarbidan, from âgarb, → assumption.
âgarb, farz (#)
A fact or statement (as a proposition, axiom, postulate, or notion) taken for granted.
M.E., from L.L. assumption, assumptio "taking up," from L. assumere, → assume.
Âgarb, from â-, nuance prefix, +
garb, from Av./O.Pers. grab-, Av. gərəb-
"to take, to seize;" cf. Mod.Pers. gereftan "to take; to assume;"
Skt. grah-, grabh- "to seize, to take,"
graha "seizing, holding, perceiving;" M.L.G. grabben "to grab;"
E. grab "to take or grasp suddenly;" PIE *ghrebh- "to seize."
A positive declaration intended to give confidence; promise or pledge; guaranty; surety (Dictionary.com).
1) To declare earnestly to; inform or tell positively; state with confidence to.
A small starlike symbol (*), used in printing or writing as a reference mark, as an indication of the omission of letters or words, to denote a hypothetical linguistic form, or for various arbitrary meanings.
M.E. astarisc, from L.L. asteriscus, from Gk. asteriskos "small star," from aster-, → astro- + -ikos "diminutive suffix."
Axtarak, from axtar "star" → astro- + -ak "diminutive suffix."
A group of stars in the sky which are traditionally imagined to present a pattern within a → constellation. Examples include the → Big Dipper, the → Northern Cross, the → Square of Pegasus, and → Orion's Belt.
Axtargân, from axtar "star" → astro- + -gân suffix denoting collective nature.
1) sayyârak (#); 2) axtarvâr
1) A small rocky object orbiting the Sun. There are millions of asteroids
moving in orbits in the main → asteroid belt,
between → Mars and → Jupiter
and in the → Kuiper belt.
The largest and the first discovered, → Ceres,
about 1,000 km in size, is now classified as → dwarf planet
(2006 IAU General Assembly). See also → near-Earth asteroid;
→ binary asteroid.
Fr.: ceinture des astéroïdes
The region of the → solar system located between → Mars and → Jupiter where over a million objects bigger than 1 km across orbit the Sun. Another region populated by minor bodies lies beyond the orbit of → Neptune, the → Kuiper belt.
Fr.: désignation des astéroïdes
1) For an asteroid whose orbit is precisely known, a number and optionally
a proper name, e.g. (7) Iris, (24101) Cassini, (99942) Apophis.
Fr.: famille d'astéroïde
A group of asteroids that share the same or similar proper orbital elements (semi-major axis, eccentricity, inclination). In 1918, the Japanese astronomer K. Hirayama first recognized some non random concentrations of asteroid elements. He noticed that certain "groups" of asteroids had similar orbital elements, and hence he first introduced the concept of "asteroid families," and identified three of them: Koronos, Eos, and Themis. The names of these groups were chosen by the parent (brightest) asteroid that the smaller group asteroids follow. Some of the more common asteroid families include the Trojans, which are actually not an asteroid family, but a group of asteroids caught in the Sun-Jupiter gravitational equilibrium points known as L3 and L4 → Lagrangian points.
Fr.: recherche systématique d'astéroïdes
The study of the → internal structure of stars through the interpretation of their pulsation periods (→ stellar pulsation). The radial pulsations are the result of → sound waves resonating in the stars interior. Different → pulsation modes penetrate to different depths inside a star. If a large number of pulsation modes occurs, then the stellar interior, which is not directly observable, can be probed from oscillation studies because the modes penetrate to various depths inside the star. Using a complex mathematical analysis, very detailed investigations of the structure of the star's interior can be carried out. Applied to the Sun, it is called → helioseismology.
Asthenosphere, from Gk. asthenes "weak" + → sphere.
Sostsepehr, from sost "weak, tender" + sepehr, → sphere.
1) nâgerâvar, 2)nâgerâbin
The optical system which is affected by → astigmatism.
1) nâgerâvari, 2) nâgerâbini
1) An imperfection in an optical system whereby light from
a point source is formed into an image as a straight line,
ellipse, or circle. The rays of light in two perpendicular planes
appear as two lines at right angles.
From astigmatic, from Gk. → a- "without" + stigmatos, from stigma "a mark, spot, puncture."
1) Nâgerâvari, from nâ- "without, un" + gerâ,
stem of gerâyidan "to converge," + -var, agent forming
suffix, + -i, noun forming suffix.
Verbal form of → astration.