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A local section of a fiber bundle is a continuous map s: U → E where U is an open set in B and π ( s ( x )) = x for all x in U. If ( U, φ ) is a local trivialization of E, where φ is a homeomorphism from π < sup >− 1 </ sup >( U ) to U × F ( where F is the fiber ), then local sections always exist over U in bijective correspondence with continuous maps from U to F. The ( local ) sections form a sheaf over B called the sheaf of sections of E.
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local and section
Proceeds will be used by the section to further its program in science, education and social action on local, national and international levels.
Combating counterrevolution, speculation, and malfeasance on railroads was passed under the jurisdiction of the railway section of VCheKa and local Cheka.
After local and foreign pressure, in December 1991, parliament repealed the one-party section of the constitution.
In this section, the book takes a darker tone, and looks at the way in which manufacturing jobs move from local factories to foreign countries, and particularly to places known as export processing zones.
The session of the local congregation has a great deal of freedom in the style and ordering of worship within the guidelines set forth in the Directory for Worship section of the Book of Order.
Named the RTTY Sweepstakes Contest, twenty nine participants exchanged messages that contained a serial number, originating station call, check or RST report of two or three numbers, ARRL section of originator, local time ( 0000-2400 preferred ) and date.
One section of the tuning capacitor will thus adjust the local oscillator's frequency f < small >< sub > LO </ sub ></ small > to f < small >< sub > d </ sub ></ small > + f < small >< sub > IF </ sub ></ small > ( or, less often, to
It is an entertainment newspaper and a website featuring satirical articles reporting on international, national, and local news, in addition to a non-satirical entertainment section known as The A. V.
An upmarket weekly's advertisers are often organic grocers, boutiques, and theatre companies while a downmarket's may have those of trade schools, supermarkets, and adult services, both usually contain ads from local bars, auto dealers, movie theaters, and a classified ads section.
* July 17-The first section of the Bridgewater Canal is opened, for the transportation of coal from local mines to Manchester.
During the Song and earlier periods, barge ships occasionally crashed and wrecked along the Shanyang Yundao section of the Grand Canal while passing the double slipways, and more often than not those were then robbed of the tax grain by local bandits.
Each nomination contains a narrative section that provides a detailed physical description of the property and justifies why it is significant historically with regard either to local, state, or national history.
Major political powers are Unity of Aran-Aranese Nationalist Party ( Socialists ' Party of Catalonia local section, the governing party ) and Aranese Democratic Convergence ( Democratic Convergence of Catalonia local section ).
A section of Portland Street, particularly between Argyle Street and Dundas Street, hosts arguably Hong Kong's most famous red light district ( serving mostly local Chinese clientele ) and a popular scene in Hong Kong films.
In 2009, the local Woolworths had the privilege of writing the last word in the history of that chain in the UK, when its manager, realising his was the last one to close, gathered the remains of the Pick-and-Mix sweet section and auctioned the bagful of sweets, which would normally have retailed for a couple of pounds, for £ 14, 500 ($ 20, 000 ).
An area near the A12 M11 Link Road ( which was built in the 1990s ) beside the section from Blake Hall Road to Selsdon Road was in 2008 preserved by local residents as a Wild-Flower Meadow with a year-round display of wild and naturalised plants, shrubs and trees ; starting in spring with oxlip ( P. elatoir ), cowslip ( Primula veris ), primrose ( P. vulgaris ), and meadow buttercup ( Ranunculus acris ), followed by many species including the grass vetchling ( Lathyrus nissolia ).
The retention or removal of a section of westbound bus lane from Welling High Street became one of the few specific local issues on which the main political parties disagreed in the approach to the local Bexley Council elections held on 4 May 2006.
While St. Bernard is served mainly by New Orleans media sources, such as a local section of The Times-Picayune, the Parish does have multiple newspapers.
Anglo-Saxon crosses were typically more slender, and often nearly square in section, though when, as with the Ruthwell Cross and Bewcastle Cross, they were geographically close to areas of the Celtic Church, they seem to have been larger, perhaps to meet local expectations, and the two 9th century Mercian Sandbach Crosses are the largest up to that period from anywhere.
Wainford and Ellingham locks have since been converted into sluices, but the Environment Agency has negotiated with local landowners to allow the use of this section by canoes and unpowered craft.
* Metro section, containing local news
local and fiber
Though the fiber flow ( local inhomogeneities of the material's chemical composition generated during casting ) doesn ’ t follow the shape of the crankshaft ( which is undesirable ), this is usually not a problem since higher quality steels, which normally are difficult to forge, can be used.
At the regional cable television headend | headend, the TV channels are sent multiplexed on a light beam which travels through optical fiber trunklines, which fan out from distribution hubs to optical nodes in local communities.
Most systems use hybrid fiber coaxial ( HFC ) distribution ; this means the trunklines that carry the signal from the headend to local neighborhoods are optical fiber to provide greater bandwidth and also extra capacity for future expansion.
The fiber trunkline goes to several distribution hubs, from which multiple fibers fan out to carry the signal to boxes called optical nodes in local communities.
Large quantities of high speed fiber links were laid, and the State and local governments gave tax exemptions to technology firms.
In the US and Europe, telephone companies use IPTV ( often on ADSL or optical fiber networks ) as a means to compete with traditional local cable television monopolies.
* Most local loop service to homes is provided through old-fashioned copper wire, although many of the Baby Bells are beginning to upgrade the so-called " last mile " to fiber optic.
This is typically used in serial cables, wired local area networks such as Ethernet, and in optical fiber communication.
For example, a fiber optic cable might run up to 30 kilometres without a repeater from the telephone exchange to a concentrator site, and local subscriber wire local loops can extend an additional 4 kilometres beyond the concentrator and its DSLAM.
From these head central offices, local calls are routed through 10 Gbit / s fiber optic links, or 3 × 155 Mbit / s microwave links.
Plantations established purely for the production of fiber provide a much narrower range of services than the original natural forest for the local people.
To quote from the standards website, SCI is a: " combination computer backplane bus, processor memory bus, I / O bus, high performance switch, packet switch, ring, mesh, local area network, optical network, parallel bus, serial bus, information sharing and information communication system that provides distributed directory based cache coherency for a global shared memory model and uses electrical or fiber optic point-to-point unidirectional cables of various widths.
This means that locally, each covering map is ' isomorphic ' to a projection in the sense that there is a homeomorphism from the pre-image of an evenly covered neighbourhood U, to U X F, where F is the fiber, satisfying the local trivialization condition.
As the local loop becomes upgraded, with fiber optic and coaxial cable technologies sometimes replacing the original unshielded twisted pair to the premises, the demarcation point has grown to incorporate the equipment necessary to interface the original premises POTS wiring and equipment to the new communication channel.
The Ilocano material culture and spirituality can be seen in the past-images of Spanish santo ( saints ), antique but intricate wooden furniture and quality local fiber.
A bundle map from the base space itself ( with the identity mapping as projection ) to E is called a section of E. Fiber bundles can be generalized in a number of ways, the most common of which is requiring that the transition between the local trivial patches should lie in a certain topological group, known as the structure group, acting on the fiber F.
A fiber bundle consists of the data ( E, B, π, F ), where E, B, and F are topological spaces and π: E → B is a continuous surjection satisfying a local triviality condition outlined below.
The Ilocano material culture and spirituality can be seen in the past-images of Spanish santo ( saints ), antique but intricate wooden furniture and quality local fiber.
Fibrations do not necessarily have the local Cartesian product structure that defines the more restricted fiber bundle case, but something weaker that still allows " sideways " movement from fiber to fiber.
* Fiber bundles have local trivializations such Cartesian product structures exist locally on B, and this is usually enough to show that a fiber bundle is a fibration.
The local triviality also implies the existence of a well-defined fiber ( up to homeomorphism ), at least on each connected component of B.
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