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In mathematics, in the field of homological algebra, the Grothendieck spectral sequence, introduced by Alexander Grothendieck in his Tôhoku paper, is a spectral sequence that computes the derived functors of the composition of two functors, from knowledge of the derived functors of and .
(c) in support of the prevention or detection of serious crime. (3) In this Act, the expression "GCHQ" refers to the Government Communications Headquarters and to any unit or part of a unit of the armed forces of the Crown which is for the time being required by the Secretary of State to assist the Government Communications Headquarters in ...
From 1947–71, the Pakistan's Army GHQ had been a central and focal strategic planning center for military operations with most taken on army's point of view.: 180 [2] The Pakistani troops and sailors deployed in the Eastern Command and the Western formations had fought Indian Armed Forces without the mission clarity and without the ground, air, and sea line of strategic communication.: 41 [2]
In the early 1960s, developments occurred which appear to have prompted the establishment of the facility now known as GCHQ Bude. In 1962, a satellite receiving station for the commercial communication satellites of Intelsat was established at Goonhilly Downs, just over 60 miles (100 kilometres) south-southwest of Morwenstow.
G-1 (Personnel): Major General Ray Barker; G-2 (Intelligence): Major General John Whiteley, [10] then Major General Kenneth Strong; G-3 (Operations) : Major General Harold Bull; G-4 (Logistics): Major General Robert Crawford; G-5: (Civil/Military Operations) Major General Sir Roger Lumley then Lieutenant General Arthur Edward Grasett
In mathematics, especially in the fields of group cohomology, homological algebra and number theory, the Lyndon spectral sequence or Hochschild–Serre spectral sequence is a spectral sequence relating the group cohomology of a normal subgroup N and the quotient group G/N to the cohomology of the total group G.
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Let P be a G-structure on a manifold M, and Q a G-structure on a manifold N. Then an isomorphism of the G-structures is a diffeomorphism f : M → N such that the pushforward of linear frames f * : FM → FN restricts to give a mapping of P into Q. (Note that it is sufficient that Q be contained within the image of f *.)