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Topic: Dual basis in a field extension

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	Characteristics of Dual* Herbicide (ACIS)
		Dual and its related herbicides have been used extensively in the midwestern states for corn and soybean weed control and have been very limited in uses for vegetable crops in the west.
		Dual is absorbed by the emerging shoots of seedlings.
		Dual in the soil has a half-life of 15 to 25 days based on bioassays and generally should not persist very long in the soil to affect subsequent crops.
	ag.arizona.edu /crop/vegetables/weeds/dualherbicide.html (639 words)

	Dual basis in a field extension - Wikipedia, the free encyclopedia
		This can be guaranteed if the extension is separable; it is automatically true if K is a perfect field, and hence in the cases where K is finite, or of characteristic zero.
		A dual basis isn't a concrete basis like the polynomial basis or the normal basis; rather it provides a way of using a second basis for computations.
		Using a dual basis can provide a way to easily communicate between devices that use different bases, rather than having to explicitly convert between bases using the change of bases formula.
	en.wikipedia.org /wiki/Dual_basis_in_a_field_extension (238 words)

	Publications of the Field Theory Group of IFH for 1998
		A new set of edge-conditioned basis functions is used to determine the modal characteristics of a large variety of nonstandard waveguide structures.
		Since the electromagnetic field includes the proper edge conditions at metallic corners and since the new basis functions are readily Fourier transformed, a considerable reduction in computational effort with respect to the standard modal field-matching techniques is observed.
		The electromagnetic field of the incident plane wave and the scattered field are matched numerically at the curved interfaces of the scatterers.
	www.ifh.ee.ethz.ch /Field/bib/1998.html (3193 words)

	Improving the relevance and effectiveness of agricultural extension activities for women farmers - An André ...
		* Field extension agents were rated as the primary source of agricultural advice by the majority of women farmers in Nigeria (58.12%) and Syria (41.25%) whereas 40% of women farmers in Trinidad took advice from their husbands and about 33% of women farmers in Thailand took advice from relatives.
		A low percentage of extension agents in three of the study countries trained in extension methodologies to communicate with women farmers (20% in Nigeria, 18% in Thailand and 6% in Syria) and in gender-specific areas (30% in Nigeria, 18% in Syria, and 10% in Thailand).
		Extension agents, when scheduling the time and place of meetings, should always take care that the visits do not conflict with women's other roles in their household.
	www.fao.org /docrep/V4805E/v4805e06.htm (3585 words)

	Component-free treatment of tensors
		Their well-known properties can be derived from their definitions, as linear maps or more generally; and the rules for manipulations of tensors arise as an extension of linear algebra to multilinear algebra.
		This modern component-free appproach is a field of differential geometry where a physical property is described by a tensor field on a manifold and doesn't need to make references to coordinates at all.
		(The term "tensor" is sometimes used as a shorthand for "tensor field".) For instance, the curvature tensor is discussed in differential geometry and the stress-energy tensor is important in physics and engineering.
	www.ebroadcast.com.au /lookup/encyclopedia/te/Tensor-modern.html (684 words)

	Field Crop CAT (Crop Advisory Team) Alert
		Extension agents in that part of the state report that aphids seem to infest fields from west (Saginaw County with large areas of buckthorn) to east (Sanilac and Huron Counties with no or little buckthorn).
		This extended damage window means that wheat fields are exposed to feeding for many months.
		Field activities at this time are planting sugar beets, oats and seeding alfalfa.
	www.ipm.msu.edu /CAT04_fld/FC04-08-04.htm (4390 words)

	[No title]
		In designing the use of this field, it is important to carefully consider the implications that this may have on storage requirements in level 2 routers (including those level 2 routers which are not directly involved in external routing).
		Bit 7 of this field indicates the metric type (internal or external) for all four TOS metrics, and may be set to zero indicating internal metrics, or may be set to 1 indicating external metrics.
		In particular, DP 10589 encodes the variable length fields in SNPs in a manner which is not flexible (additional variable length fields cannot be defined for sequence number packets), and which is inconsistent with the encoding of the variable length fields in all other IS-IS and ES-IS packets.
	www.ietf.org /rfc/rfc1195.txt?number=1195 (16268 words)

	The Compton Effect, Newtonian Velocities, The Fundamental Particle
		However, the appearance of the magnetic field at the electron identifies a partially elastic or totally inelastic field coupling at the Compton wavelength, and the subsequent emission of radiation.
		Of specific interest is where the field strength is equivalent to the proton mass, which occurs at the classical electron radius.
		Furthermore, by logical extension it may be stated that if penetration is greater than that allowed for the release of the electron, it will result in the creation of a neutron.
	wbabin.net /babin/wd5.htm (739 words)

	Springer Online Reference Works
		The standard alternative to using a polynomial basis is a normal basis, that is, a basis of the form
		Thus the possibility of using this type of representation for large fields depends on the practicality of actually computing discrete logarithms, which is generally believed to be a very difficult problem.
		Some good references for actual applications of Galois fields in the areas mentioned above are [a1], [a2], [a3], [a5], [a6], [a10], [a9], [a8], [a11], [a13], [a21], [a18], [a16], [a17], [a19].
	eom.springer.de /G/g130010.htm (1088 words)

	IEEE P1363a: Additional number-theoretic algorithms
		This summary of finite field basis conversion techniques is proposed for inclusion in IEEE P1363 Annex A. Included are some conventional basis conversion techniques, as well as some new storage-efficient basis conversion techniques.
		It is well known that the efficiency of finite field arithmetic depends strongly on the particular way in which the field elements are represented.
		The finite field representation can be classified according to the choice of basis - a polynomial basis in software implementation and a normal basis in hardware implementation conventionally.
	grouper.ieee.org /groups/1363/P1363a/NumThAlgs.html (715 words)

	Minnesota Sweet Corn Profile
		Damage is typically confined to field areas which are adjacent to borders of perennial grasses, including road ditches, terrace back slopes, and grass waterways.
		No-till fields must be observed closely, and treatments should be based on the presence of small larvae feeding on grass.
		Grasshopper presence in border areas is not necessarily a cause of alarm; greatest yield losses are caused by the loss of leaf area during tassel and silking stages.
	cipm.ncsu.edu /cropprofiles/docs/MNfieldcorn.html (9328 words)

	Approval Review Gateway via Electronic Transmission
		Field names (both in the banner and in the body of the screen) are identified in italicized type.
		Similarly, fields that have their values stored on tables or files may allow specification of a starting value and then provide a list of values to select from.
		The Command and the key fields are maintained as a part of the list when there is a single command that one would normally suspend to, such as the command in which a document was created or submitted.
	www.uark.edu /basis/TARGET/TASDOC.HTML (11711 words)

	ISU Weed Science Online - Spatial weed distributions
		Failure to account for the distribution of weeds across the field reduces the accuracy of the yield loss predictions upon which economic thresholds are based.
		This research was conducted in the same field with uniformly high cupgrass populations, thus differences in environment were largely responsible for the wide range in Dual efficacy.
		Although there were large areas of the field not infested by the individual species, when the maps for different species were overlaid there was very little weed-free area in the field.
	www.weeds.iastate.edu /mgmt/qtr99-1/spatial.htm (3074 words)

	Grazinglands Research Laboratory, El Reno, Oklahoma : Field Day 2000
		All programs and services of the U.S. Department of Agriculture are offered on a nondiscriminatory basis without regard to race, color, national origin, religion, sex, age, marital status or handicap.
		We postponed field days for a few years, primarily to focus intensively on planning and re-organization of the research program and to incorporate new research projects into the overall mission.
		At the time of the last field day, the Laboratory’s research program was conducted by five scientists (two of those positions were vacant) and a support staff of 12.
	www.ars.usda.gov /Research/docs.htm?docid=7875 (876 words)

	Empowering Women Through Agricultural Extension: A Global Perspective
		These recommendations are based on international and national reports on agricultural Extension and their findings about the advancement of women, their empowerment through Extension, and the results to date.
		While recognizing that national policy and strategy must precede organization of Extension Services and implementation of Extension programs in favor of women, we begin with institutional actions that we consider the basis for Extension policy and strategies as these refer to women farmers and women in Extension Services.
		These actions require at a minimum that Extension: (1) develop client profiles of women farmers as target groups, (2) determine and consider the levels of participation for women farmers in Extension programming, (3) calculate the production/yield risk factors of women farmers, and (4) ensure appropriate technology and practices to serve women farmers.
	www.joe.org /joe/1990winter/a9.html (1345 words)

	Field Corn (Site not responding. Last check: 2007-09-07)
		Damage to first-year corn occasionally occurs in fields with lush growth of alfalfa, soybeans, or weeds during August and September of the previous year, and that are immediately adjacent to heavily infested fields.
		Please notify your county MSU Extension agent to report damage in rotated corn and to get current scouting/ treatment recommendations.
		Apply cultivation treatments (field, forage, or seed) band over the row or directed to both sides of plant ahead of cultivator shovels.
	www.cips.msu.edu /cips/rootworm/FieldCorn2001.htm (1086 words)

	[No title]
		I'll pass on exhibiting a basis for the dual space of F^N (direct product), and focus on finding a basis for the dual space of F^(N) (direct sum).
		Brown claimed that the DIMENSION of the dual space of F^(N) is uncountable, not just that the dual space of F^(N)--as a set--is uncountable.
		Since any such function has an extension to a linear function from F^(N) into F (and different functions from B into F obviously give rise to different linear functions from F^(N) into F), the cardinality of the dual space of F^(N) is at least F^B.
	www.math.niu.edu /~rusin/known-math/00_incoming/duals (2065 words)

	Revised INS Memo on Dual Intent When Adjustment Application Pending
		This memorandum supersedes and amends the March 14, 2000 memorandum on dual intent for H-1 and L-1 non-immigrants with pending applications for adjustment of status, which changes the Adjudicator's Field Manual, Chapter 23.
		There may be legitimate reasons for an H or L nonimmigrant to apply for an EAD on the basis of a pending application for adjustment of status.
		If the Service approves the alien's application for an extension of nonimmigrant status, the decision granting such an extension will have the effect of terminating the grant of parole and admitting the alien in the relevant nonimmigrant classification.
	www.immigrationlinks.com /news/news301.htm (1151 words)

	Math 250: Higher Algebra (2001-2)
		Since all splitting fields are isomorphic, it makes sense to say that a polynomial f in F[X] has a multiple root, or that two polynomials f,g in F[X] have common roots, in a splitting field of f or fg respectively.
		That is, the lattice of subfields is isomorphic with the lattice of subgroups, with inclusions reversed.
		Call that field K as long as we haven't proved that K=F. Clearly K is in F, and E is the splitting field of g over K; moreover, g is separable, so E/K is normal.
	www.math.harvard.edu /~elkies/M250.01/index.html (9028 words)

	Slide Presentations-> Weed Control Update for Peanut, Field Corn, and Sunflowers
		PeanutsNew Metolachlor Formulations Cinch Dupont same as Dual II Magnum Stalwart C Sipcam Agro USA Inc. “old” Dual EC formulation (7.8 lbs/gal) not labeled for peanut Me-Too-Lachlor Drexel “old Dual EC formulation (8 lbs/gal) rates are too low
		Texas Panicum Control in Field Corn- IIAccent and Option CN-04-03 Attapulgus Applied 24 DAP PANTE = 2”; 2-5 LF Corn Yields with Accent and Option a a CN-03-03 CN-04-03 b ab a c
		Field CornBasis Gold vs. Steadfast ATZ 3 way mixes of atrazine/Accent/Matrix Steadfast has more Accent Both have greater potential to cause crop injury confirm hybrid tolerance
	www.cropsoil.uga.edu /weedsci/slides/southernstates-03 (617 words)

	First-year rotations - No-till corn (Site not responding. Last check: 2007-09-07)
		For crownvetch/birdsfoot trefoil mixtures, substitute Basis Gold for Basis in the same treatment.
		The goal is to suppress the cover crop 95 to 98% for the first 4 to 6 weeks and then let the birdsfoot trefoil and/or crownvetch recover.
		If these cover crops are sufficiently suppressed, they will never bloom except around the edge of the field where they get more sunlight.
	cropsoil.psu.edu /extension/livingmulch/sec97a.cfm (252 words)

	The Field Equations
		Thus, guided by the belief that the laws of physics should be the simplest possible tensor equations (to ensure general covariance), he proposes that the field equations for the gravitational field in empty space should be
		It's worth noting that although the left side of the field equations is quite pure and almost uniquely determined by mathematical requirements, the right side is a hodge-podge of miscellaneous "stuff". As Einstein wrote,
		A slight (but significant) extension of the field equations was proposed by Einstein in 1917 based on cosmological considerations, as a means of ensuring stability of a static closed universe.
	www.mathpages.com /rr/s5-08/5-08.htm (1687 words)

	2004.03.04:HHS WILL LEAD GOVERNMENT-WIDE EFFORT TO ENHANCE BIOSECURITY IN "DUAL USE" RESEARCH
		Working with the Department of State and other relevant agencies, HHS also will lead the Administration's efforts to foster the extension of these biosecurity policies to the international arena on a voluntary and cooperative basis, working through existing international scientific and health organizations, and other relevant international organizations.
		The NSABB will have up to 25 voting members, to be appointed by the HHS Secretary in consultation with the heads of relevant federal departments and agencies.
		Members will be experts in a broad range of fields, including molecular biology, microbiology, infectious diseases, laboratory biosafety and biosecurity, public health/epidemiology, health physics, pharmaceutical production, veterinary medicine, plant health, food production, bioethics, national security, biodefense, intelligence, law and law enforcement, and scientific publishing.
	www.nih.gov /news/pr/mar2004/hhs-04.htm (771 words)

	Caltech Computer Science Technical Reports - Bit-Serial Reed Solomon Decoders in VLSI
		By using many arithmetic units on a single chip, it is possible to exploit the concurrency inherent in the decoding algorithms to attain performance levels previously possible only with large ECL systems.
		An investigation into the structure of binary extension fields reveals that the common arithmetic operations used in decoding can be implemented quite efficiently in a bit-serial fashion, using any of several bases over GF(2).
		Berlekamp’s dual-basis multiplier is generalized to the product of two arbitrary field elements, and a necessary and sufficient condition is then derived for the existence of a self-dual basis.
	caltechcstr.library.caltech.edu /378 (344 words)

	[No title]
		Equality operator 'cmpeq' which returns whether arguments are comparable as well as equal, thus always returning an answer
		Extension of the where-is operator to expression lists
		Multivariate factorization of polynomials over finite fields (and function fields over finite fields)
	www.umich.edu /~gpcc/scs/magma/text68.htm (463 words)

	Weed Control Guide for Ohio Field Crops
		Herbicides Labeled for Use on Field Corn, Seed Corn, Popcorn, and Sweet Corn
		All educational programs conducted by Ohio State University Extension are available to clientele on a nondiscriminatory basis without regard to race, color, creed, religion, sexual orientation, national origin, gender, age, disability or Vietnam-era veteran status.
		Keith L. Smith, Associate Vice President for Ag.
	ohioline.osu.edu /weeds/index.html (193 words)

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