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	Local field - Wikipedia, the free encyclopedia
		In mathematics, a local field is a special type of field which has the additional property that it is a complete metric space with respect to a discrete valuation.
		There is some inconsistency in usage, but usually a local field is further assumed to be locally compact, and often the field R of real numbers and the field C of complex numbers are considered to be local as well by virtue of their local compactness.
		The abelian Galois extensions of local fields are of particular interest and form the subject of local classfield theory.
	en.wikipedia.org /wiki/Local_field (598 words)

	Introduction (Site not responding. Last check: 2007-11-05)
		Local rings and fields in Magma are finite extensions of the ring Z_p of p-adic integers or the field Q_p of p-adic numbers and as such have characteristic 0.
		Local fields in Magma are regarded as the fields of fractions of local rings.
		Field elements are represented by their valuation and their unit part, which is a unit in the ring of integers.
	www.mat.niu.edu /help/math/magmahelp/text722.html (988 words)

	Introduction (Site not responding. Last check: 2007-11-05)
		The totally ramified part or ramified subring or subfield of a local ring or field is the extension of the p-adic ring made by the eisenstein polynomial of the local ring or field.
		The ramification degree of a local ring or field is the degree of the local ring or field as an extension of the inertia ring or field.
		The residue (class) field is a field isomorphic to GF(p, f) where p is the prime of the local ring or field and f is the inertia degree.
	www.dtr.isy.liu.se /Magma/text497.html (1009 words)

	Defining Local Fields
		A local field is used to calculate the speed.
		If the reference field is a currency amount field or a quantity field, the local field inherits the currency or unit assignment of the reference field.
		In this case, the local field is treated like a parameter whose value is determined once by an entry on the screen.
	help.sap.com /saphelp_40b/helpdata/es/d2/cb4186455611d189710000e8322d00/content.htm (1024 words)

	Learn more about Complex number in the online encyclopedia. (Site not responding. Last check: 2007-11-05)
		In mathematics, the term "complex" when used as an adjective means that the field of complex numbers is the underlying number field considered.
		The conjugate of the complex number z corresponds to the transformation which rotates through the same angle as z but in the opposite direction, and scales in the same manner as z; this can be described by the transpose of the matrix corresponding to z.
		The complex number field is also of utmost importance in quantum mechanics since the underlying theory is built on (infinite dimensional) Hilbert spaces over C.
	www.onlineencyclopedia.org /c/co/complex_number.html (1629 words)

	Weather Fields OR Weather Forecast - Find Local Fields OR 97710 Weather (Site not responding. Last check: 2007-11-05)
		Fields Oregon, latitude and longitude Fields, local forecast Fields OR local forecast Fields OR, local forecast Fields Oregon, local forecast Fields, local weather for Fields OR, local weather report for Fields Oregon, local weather for Fields, local weather forecast for Fields OR.
		Local weather forecast for Fields, local weather forecast Fields OR, local weather report for Fields Or.
		Local weather forecast Fields, local weather Fields OR 97710.
	www.findlocalweather.com /forecast/OR/Fields.html (445 words)

	CMP: The Record Maintenance Compiler - 9.9 Declaring Local Fields in Indirect References (Site not responding. Last check: 2007-11-05)
		To accomplish this, place a LOCAL statement and a list of the (additional) local field declarations before the PROGRAM statement inside the "@@file" (local fields must be declared before they are used in any procedural code).
		Fields declared in the LOCAL section of an indirect reference file are compiled by CMP like any other local fields, and are available to the entire.RMS program.
		Therefore, local fields declared in "@@" files should use a field-naming convention ensure that they will not duplicate field names elsewhere in the RMS or in other include files referenced in the same compilation.
	www.admins.com /70Manual/Section9_10.htm (337 words)

	Armyworms invade local fields (Site not responding. Last check: 2007-11-05)
		The problem will be with individual farms or with individual fields on a farm, he said.
		The crops are destroyed, she said, or farmers must pay for their fields to be sprayed.
		Fields should be checked frequently for signs of damage.
	www.thedailystar.com /news/stories/2001/07/10/army.html (881 words)

	Volume 10 Issue 3
		The millions of cattle that are jam-packed into trains and trucks to go to West Bengal and Kerala to be slaughtered are only going for the leather industry, as 90 per cent of them die from overcrowding and starvation during the journey and their meat cannot be eaten.
		So the taboo tends to create a local economy farm life that is full of excellent biological modalities, and full of social roles that maintain them.
		Local government´s policy is not favorable towards agriculture and in this trend is steady.
	www.iscowp.org /10-3/Volume%2010%20Issue%203.htm (8851 words)

	Boston.com / News / Local / Mass. / GOP fields congressional challengers in five of 10 districts (Site not responding. Last check: 2007-11-05)
		As Gov. Mitt Romney rallies Republicans statewide in an effort to capture seats in the Massachusetts Legislature, little mind -- or money -- has been paid to the five Republicans who are challenging long-standing Democrats for their seats in Congress.
		The party has fielded challengers to five of the 10 incumbent Democrats -- and the slate is a colorful bunch.
		There's a language school teacher who blames his opponent in part for the terror attacks of Sept. 11, a minister and former Georgia lawmaker who gained national prominence as an opponent of gay marriage, and a lawyer and former restaurant and golf course owner making in his first bid for public office.
	www.boston.com /news/local/massachusetts/articles/2004/10/24/gop_fields_congressional_challengers_in_five_of_10_districts (521 words)

	Local Field Directions
		Field #10 will be.1 mile beyond Phillips Road on Cameron Blvd. and turn Right on Craver.
		The field is inside the track on your left.
		The fields is the stadium field, when NW Cabarrus drive ends turn left, field will be on the right.
	fccarolinaalliance.org /pages/localdirections.htm (1732 words)

	GT Monographs: Volume 3
		This monograph is the result of the conference on higher local fields held in Muenster, August 29 to September 5, 1999.
		The aim is to provide an introduction to higher local fields (more generally complete discrete valuation fields with arbitrary residue field) and render the main ideas of this theory (Part I), as well as to discuss several applications and connections to other areas (Part II).
		Given an arithmetic scheme, there is a higher local field associated to a flag of subschemes on it.
	www.maths.warwick.ac.uk /gt/gtmcontents3.html (447 words)

	On just infinite pro-p-groups and arithmetically profinite extensions of local fields, by Ivan Fesenko (Site not responding. Last check: 2007-11-05)
		The wild group is the group of wild automorphisms of a local field of characteristic p.
		In this paper we apply Fontaine-Wintenberger's theory of fields of norms to study the structure of the wild group.
		Finally using the subgroup T we show that the wild group is not analytic over commutative complete local noetherian integral domains with finite residue field of characteristic p.
	www.math.uiuc.edu /Algebraic-Number-Theory/0099 (188 words)

	06-16-04 :: Most local fields of corn already...
		Most local fields of corn already are above the "knee high by the Fourth of July" saying.
		Mercer County OSU Extension Agent Todd Mangen says crops are ahead of schedule this year, and recent rain has not yet harmed the crops.
		This corn is in a field off Fleetfoot Road west of Celina.
	www.dailystandard.com /date/2004/06/16/photo/pages/06-16_A01-2.htm (61 words)

	Local Fields (Site not responding. Last check: 2007-11-05)
		Local fields can only be accessed in the procedures below or to the right of the one in which they are defined.
		The data type of a local field is defined as one of the following (as for database fields):
		The local field @ is provided for use as a temporary holding variable.
	www.itimdp4.com /manpages/QAB/Local_Fields.htm (293 words)

	(VDF) Canadian Local Fields- -General Information (Site not responding. Last check: 2007-11-05)
		The 9XX fields are designed to provide the bibliographic access and to accommodate the bibliogrpahic products that are required in a bilingual country.
		A separate field, 990, lists the fields that are used to produce particular outputs.
		9XX fields, except field 990, are constructed in the same way as the corresponding object field, i.e., the main and added entry fields (1XX and 700-730), the uniform title (240), and the series statement and series added entry (4XX and 8XX).
	www.itsmarc.com /crs/edit8623.htm (197 words)

	On the K-theory of local fields (Site not responding. Last check: 2007-11-05)
		On the K-theory of local fields (with Ib Madsen)
		Let K be a complete discrete valuation field of char.
		We establish a connection between the K-theory of K and the de Rham-Witt complex of the valuation ring O_K with logarithmic poles at the maximal ideal.
	www-math.mit.edu /~larsh/papers/010 (67 words)

	Effective properties and local fields
		To compute the local fields, we mention that the fields in the layers linearly depend on the mean field
		are the matrix coefficients of magnification of the mean field in the layers.
		Knowing the fields in the layers, one easily calculates the effective properties tensor.
	www.math.utah.edu /~cherk/mathmat/workshop/theory/exact/node4.html (107 words)

	Local Fields in MARC Records
		The 945 field is used for the GPO overlay code.
		The 949 field with indicators zero-blank is extensively used for codes including barcode, location, volume, etc. See Multiple volume/Copy Item Records on for detailed information on subfields, codes, etc. used in this field.
		The 949 field with both indicators blank is used for serial holdings statements, based on ANSI standard Z39.44-1986 Level 4 (modified).
	www.library.unlv.edu /bms/procs/fields.html (239 words)

	Culture news
		It was but natural that their pioneer studies in so difficult a field should be destined to give place to the more accurate and complete monuments of modern scholarship.
		There was, besides, a public honouring by each local clan of the common ancestors twice a year, in spring and autumn.
		This was an elaborate banquet with music and solemn dances, to which the dead ancestors were summoned, and in which they were believed to participate along with the living members of the clan.
	kfz.freehostingguru.com /article02.php (5143 words)

	Courses (Site not responding. Last check: 2007-11-05)
		Integrality over rings, algebraic extensions of fields, field isomorphisms, norms and traces are discussed in the second part.
		Dedekind rings, factorization in Dedekind rings, norms of ideals, splitting of prime ideals in field extensions, finiteness of the ideal class group and Dirichlet's theorem on units are treated in the second part.
		This is a very short introduction to local fields and local class field theory without using homological algebra.
	www.maths.nott.ac.uk /personal/ibf/courses.html (224 words)

	IngentaConnect Local fields on the brane induced by nonlocal fields in the bulk (Site not responding. Last check: 2007-11-05)
		Local fields on the brane induced by nonlocal fields in the bulk
		We investigate quantum field theory in a bulk space with a boundary, which represents a 3-brane.
		We explore the consequences of this proposal, constructing a large family of nonlocal bulk fields, whose brane relatives are local.
	api.ingentaconnect.com /content/iop/cqg/2001/00000018/00000022/art00306 (186 words)

	Maps (Site not responding. Last check: 2007-11-05)
		I fly at two local fields in the area.
		To utilize the field, club membership is required if you live in the area.
		Keisleburg Field if part of the Kiesleburg Forest Preserve and is operated by Winnebego County, IL.
	webpages.charter.net /stratowalker/Maps.htm (149 words)

	Manchester Geometry Seminar (Site not responding. Last check: 2007-11-05)
		In the e-print math.AG/9911097 A. Parshin suggested a generalization of the Krichever map for the case of algebraic surfaces from the point of view of 2-dimensional local fields k((u))((t)).
		We suggest a generalization of the Krichever map to the case of algebraic varieties of arbitrary dimension from the point of view of multidimensional local fields.
		In particular, we obtain new explicit acyclic resolutions of quasicoherent sheaves connected with multidimensional local fields.
	www.ma.umist.ac.uk /tv/Seminar/2004-2005/denis.html (130 words)

	Example: Local Fields (SAP Library - SAP Query) (Site not responding. Last check: 2007-11-05)
		Example: Local Fields (SAP Library - SAP Query)
		The Long text - flight class local field is an example of a complex calculation.
		You use the Complex Calculation function to branch to the editor for complex calculations where you specify the calculation formula.
	help.sap.com /saphelp_pserv471/helpdata/EN/6e/dd68221faf11d6b1d500508b6b8b11/content.htm (69 words)

	Local Fields
		This root discriminant is referred to as the Galois root discriminant (GRD) of f, or the GRD of the algebra Q[x]/f (x).
		Twin Algebra = a defining polynomial for the twin algebra of a sextic field.
		In general, one needs some data precomputed for the field stored in the format used below for data files.
	math.la.asu.edu /%7Ejj/localfields (708 words)

	Counting The Local Fields In Sg Theory. (ResearchIndex) (Site not responding. Last check: 2007-11-05)
		In terms of the form factor bootstrap we describe all the local fields in SG theory and check the agreement with the free fermion case.
		We discuss the interesting structure responsible for counting the local fields.
		In the present paper we solve the longstanding problem of the description of all the local fields in SG theory in terms of the form factor bootstrap approach.
	citeseer.ist.psu.edu /146914.html (257 words)

	:: LaSys Inc ::
		V. Podolskiy, A. Sarychev, and Vladimir M. Shalaev, Percolation Composites: Localization of Surface Plasmons and Enhanced Optical Nonlinearities, in Photonic Crystals and Light Localization in the 21st Century, 567, ed.
		A. Sarychev, V. Shubin, V. Shalaev, Anderson localization of surface plasmons and Kerr nonlinearity in semicontinuous metal Films, Physica B 279, 87 (2000).
		A. Sarychev, V. Shubin, and Vladimir M. Shalaev, Anderson localization of surface plasmons and nonlinear optics of metal-dielectric composites, Phys.
	www.lasysinc.com /citations.htm (2385 words)

	MTH-4A22 : Special Pure Mathematics Course: Local Fields
		Now the problem with the field of real numbers R is that it is not algebraically closed - there are polynomials with coefficients in R which do not have roots in R.
		Finally, the field of complex numbers C really is the right place to carry out analysis because it is still complete.
		It would be useful to remind yourselves of some of the language of rings and fields from Algebra II.
	www.mth.uea.ac.uk /maths/syllabuses/0304/4A2204.html (644 words)

	Local Fields - Bokanmeldelse.com (Site not responding. Last check: 2007-11-05)
		Local Fields (Serie: London Mathematical Society Student Texts)
		The p-adic numbers, the earliest of local fields, were introduced by Hensel
		providing a fairly elementary and self-contained introduction to local fields.
	www.bokanmeldelse.com /0521315255 (223 words)

	Local author fields questions - gainesvilletimes.com
		The author of 11 books is also an editor and adjunct professor of creative writing at the University of Georgia.
		Williams' skits inspired by MAD magazine were first published in his local newspaper when he was 14 years old, the same age as many students who visited The Times on Thursday.
		He encouraged the students to pursue their interests in creative writing and journalism.Williams will next be appearing Nov. 5 at Brenau University to answer questions and read from his book, "A Distant Flame." The event is open to the public.
	www.gainesvilletimes.com /news/stories/20051014/localnews/26680.shtml (496 words)

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