1) Physics, Math.: A statement of facts in a symbolical or general form, by
substitution in which a result applicable to particular data may be obtained.
Verbal form of → form.
1) The act or process of formulating.
The Chemical Furnace. A faint → constellation in the southern sky, representing a chemist's furnace. Its brightest star, Alpha Fornacis, is a double of magnitudes 4.0 and 6.5. Abbreviation: For; genitive: Fornacis.
L. fornax "oven, kiln," related to fornus, furnus "oven,"
and to formus "warm," from PIE base *ghworm-/*ghwerm- "warm"
(cf. Mod./Mid.Pers. garm "warm;" O.Pers./Av. garəma-
"hot, warm;" Skt. gharmah "heat;" Gk. thermos
"warm;" cf. O.E. wearm; O.H.G., Ger. warm).
Kuré "furnace;" Tabari kalə "furnace," kəlen "ash;" Laki koira; Kurd. kulan, kulandan "to cook;" Laki koira; Kurd. kulan, kulandan "to cook;" related to garm "warm;" cf. Skt. ghar- "to burn;" E. kiln "furnace, oven," from L. culina "cooking stove, kitchen;" PIE root *gwher- "to warm, be warm," → warm.
Fr.: amas de Fourneau
A cardinal number, ten times four.
M.E. fourti, O.E. feowertig, from feower, → four, + tig "group of ten" (cf. O.S. fiwartig, Du. veertig, O.H.G. fiorzug, Ger. vierzig, Goth. fidwor tigjus.
Cehel (short form cel); Mid.Pers. cehel "forty;" Av. caθwarəsa(n)t- "forty," from caθwar-, → four, + sant-, sat "ten;" cf. Skt. catvārimśát- "forty."
1) piš-su; 2) piš-su kardan
Fr.: en avant, en avance
1a) To or toward what is ahead or in front.
Piš-su, from piš "forward; in front of; before;" Mid.Pers. pêš, + su, → direction.
Fr.: diffusion en avant
Scattering in which photons emerge from the → scattering medium travelling predominantly in the same direction as they entered. The → halos around the Sun and Moon in wet weather are caused by forward scattering by water droplets in the Earth's atmosphere. → backscattering.
Fr.: choc en avant
A highly → supersonic → shock wave created in a → supernova remnant as the expanding stellar ejecta runs into the → interstellar medium (ISM). This forward shock wave produces sudden, large changes in pressure and temperature behind the shock wave. The forward shock wave also accelerates electrons and other charged particles to extremely high energies. The forward shock front has a velocity of 104 km s-1 and can heat the shocked gas to temperatures ~ 109 K. While the forward shock continues to expand into the ISM, it creates a → reverse shock that travels back into the freely expanding → supernova ejecta.
A relic, remnant, or representation of an organism that existed in a past geological age.
From Fr. fossile, from L. fossilis "dug up," from fossus, p.p. of fodere "to dig."
fossil magnetic field
meydân-e meqnâtisi-ye sangvâré, ~ ~ sangvâre-yi
Fr.: champ magnétique fossile
In a physical system, the → magnetic field belonging to an earlier magnetic process or event. A fossil magnetic field may be a vanished one or exist in relic forms. As an example, the solar magnetic field, which was present during the formation of the Sun, has disappeared over the last 4.6 billions years.
jarayân-e Foucault (#)
Fr.: courant de Foucault
Same as → eddy current.
Foucault knife-edge test
âzmun-e kârd-e Foucault
Fr.: contrôle par foucaultage
A method used to test the → image quality of → mirrors and → lenses. The test is performed by moving a knife edge laterally into the → image of a small → point source. The → eye, or a → camera, is placed immediately behind the knife edge, and the → exit pupil of the system is observed.
âvang-e Foucault (#)
Fr.: pendule de Foucault
A → pendulum consisting of a heavy weight on a very long wire attached to a support, that shows the rotation of Earth. The support must be nearly frictionless in order that the pendulum can continue to swing freely for long periods of time. The pendulum will swing in the same plane as it started. The → Earth's rotation is reflected in the slow turning of the plane of the pendulum's motion, which appears to rotate through 360° in T hours. The rotation time is given by the expression: T = T0/sin φ, where T0 = 23.9344 hours is the → sidereal day and φ the → latitude of the place. At the poles the rotation period is 23h 56m 04s, and at the equator is ∞, i.e. the swing plane does not move. For regions near the equator it is very long; for example at Quito, the capital city of Ecuador, with φ = 00°15'S, it is 5485 days or more than 15 years! This phenomenon shows that the Earth is a → non-inertial frame.
The experiment was performed for the first time by the French physicist Léon Foucault (1819-1868) in 1851, who set up, in the Pantheon in Paris, a simple pendulum consisting of a lead ball weighing 28 kg, suspended by a fine steel wire 67m long. At the latitude of Paris, the pendulum takes 31h 47m 38s to complete a precession cycle; → pendulum.
Foucault's Marseille reflector
bâztâbgar-e Foucault-ye Marseille
Fr.: réflecteur marseillais de Foucault
The first functioning → reflecting telescope with a silvered glass mirror. It was built by Léon Foucault in 1826 for the Marseille Observatory. The mirror of 80-cm in diameter (f/d = 5) had an excellent quality. The telescope was used for a century as a visual instrument. Edouard Stéphan (1837-1923) used it from 1871 to 1884 to find 800 high-brightness galaxies, among which the → Stephan's Quintet. From 1906 to 1962 the telescope was used by Robert Jonckheere (1888-1927) to discover 3,350 new binary stars. In 1873, following an idea of Hippolyte Fizeau (1819-1896), Stéphan attempted to use it as an → interferometer to measure the diameter of a number of stars. In 1914 Charles Fabry (1867-1945) and Henri Buisson (1873-1944) used the telescope to obtain the first astronomical Fabry-Pérot interferogram, on the → Orion Nebula.
After the French physicist and optician Léon Foucault (1819-1868); Marseille (Observatory), the second largest city of France, located on the south east coast of the Mediterranean Sea, from L. Massalia, from Gk. Massalia; → reflector.
O.E. feower, from P.Gmc. *petwor- (cf. O.S. fiwar, Du. and Ger. vier, O.N. fjorir, Dan. fire, Sw. fyra), cognate with Pers. cahâr, as below, from PIE *qwetwor.
Cahâr, variant câr, from Mid.Pers. cahâr; Av. caθwarô, catur-; cf. Skt. catvārah; Gk. tessares; cognate with L. quattuor; E. four, as above.
Fr.: opérateur à quatre dimensions
An operator defined as: ▫ = (∂/∂x, ∂/∂y, ∂/∂z, 1/(jc∂/∂t).
Fr.: analyse de Fourier
The process of decomposing any function of time or space into a sum of sinusoidal functions using the → Fourier series and → Fourier transforms. In other words, any data analysis procedure that describes or measures the fluctuations in a time series by comparing them with sinusoids. Fourier analysis is an essential component of much of modern applied and pure mathematics. It forms an exceptionally powerful analytical tool for solving various problems in many areas of mathematics, physics, engineering, biology, finance, etc. and has opened up new realms of knowledge.
After the French mathematician Baron Jean Baptiste Joseph Fourier (1768-1830), whose work had a tremendous impact on the physical applications of mathematics; → analysis.
Fr.: coefficient de Fourier
One of the coefficients an or bn of cos (nx)
and sin (nx) respectively in the → Fourier series
representation of a function. They are expressed by:
Fr.: intégrale de Fourier
An integral used in the → Fourier transform.