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The field F is algebraically closed if and only if it has no proper algebraic extension . If F has no proper algebraic extension, let p ( x) be some irreducible polynomial in F [ x ]. Then the quotient of F [ x] modulo the ideal generated by p ( x) is an algebraic extension of F whose degree is equal to the degree of p ( x ). Since it is not a ...
Chrysler V-8 petrol engine and two electric motors. 300 horsepower (220 kW) Power/weight. 12 hp/t. Transmission. electric. The Chrysler TV-8 was a tank design project by Chrysler in the 1950s. The tank was intended to be a medium tank capable of land and amphibious warfare. The design was never produced.
Hunter AFV. 7.62×51mm NATO Coaxial MG, 8 x 76mm smoke grenade launchers. The Hunter Armoured Fighting Vehicle (or Hunter AFV in short) is a tracked Singaporean armoured fighting vehicle jointly developed by ST Engineering, Defence Science and Technology Agency, and the Singapore Army. Intended to replace the Singapore Army's aging Ultra M113 ...
In algebraic geometry and commutative algebra, the Zariski topology is a topology defined on geometric objects called varieties. It is very different from topologies that are commonly used in real or complex analysis; in particular, it is not Hausdorff. [1] This topology was introduced primarily by Oscar Zariski and later generalized for making ...
Closure (mathematics) In mathematics, a subset of a given set is closed under an operation of the larger set if performing that operation on members of the subset always produces a member of that subset. For example, the natural numbers are closed under addition, but not under subtraction: 1 − 2 is not a natural number, although both 1 and 2 ...
Eastern limb of the madrasa from the tomb Northern limb of the madrasa starting with the tomb of Feruz Shah and ending in a mosque, with reservoir in the foreground. Hauz Khas Complex in Hauz Khas, South Delhi houses a water tank, an Islamic seminary, a mosque, a tomb, and pavilions built around an urbanized village with medieval history traced to the 13th century of Delhi Sultanate reign.
A 10-mile stretch of London’s orbital motorway closed between junctions 9 and 10, southwest of the capital, from 9pm on Friday 10 May until 6am on Monday 13 May 2024. Travellers accessing ...
be defined by x ↦ b(x, y). Definition. The weak topology on X induced by Y (and b) is the weakest topology on X, denoted by 𝜎 (X, Y, b) or simply 𝜎 (X, Y), making all maps b(•, y) : X →. K {\displaystyle \mathbb {K} } continuous, as y ranges over Y. [1] The weak topology on Y is now automatically defined as described in the article ...