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Topic: Residue class

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	Signal processing devices using residue class arithmetic - Patent 4041284
		Apparatus for performing arithmetical calculations on a plurality, N, of ital input signals, utilizing residue class arithmetic, comprising a plurality N of means for coding the N input digital signals into digital modulo m.sub.i integers, K.ltoreq.i.gtoreq.1.
		Residue class arithmetic involves a finite number of elements, each consisting of an infinite set of ordinary integers.
		m.sub.t and [b]= [a.sub.i ] for residue classes modulo m.sub.i whenever the m.sub.i are pairwise relatively prime.
	www.freepatentsonline.com /4041284.html (4791 words)

	[ref] 14.4 Residue Class Rings (Site not responding. Last check: 2007-09-17)
		The element corresponding to the residue class of the integer
		, and a representative of the residue class corresponding to the element
		The residue class rings are rings, thus all operations for rings (see Chapter Rings) apply.
	wwwmaths.anu.edu.au /research.groups/aat/GAP/www/Manual4/ref/C014S004.htm (257 words)

	Method and apparatus for the exponentiation of large binary numbers in a residue class modulo N, particularly for ...
		The object of the present invention is to provide a method and an apparatus for the exponentiation of large binary numbers in a residue class modulo N which is particularly suited for encoding and decoding digitally-represented messages and in which the exponentiation comprises repeated squaring/multiplication cycles with a residue formation.
		Residue Formation C (mod N) An algorithm which approximately calculates the residue C mod N is employed for the further processing of the results of the multiplication.
		The residue formation is then a multiplication of a known vector and that part of the modified inverse of the matrix which is determined for the residue formation.
	www.freepatentsonline.com /4532638.html (2610 words)

	Anchor residue motifs of HLA class-I-binding peptides analyzed by the direct binding of synthetic peptides to HLA class ... (Site not responding. Last check: 2007-09-17)
		Anchor residue motifs of HLA class-I-binding peptides analyzed by the direct binding of synthetic peptides to HLA class I alpha chains.With B27 anchor motifs, an interlocus cross-reactivity with A3 and A31 was seen.
		Several peptides, even though they carried A2 or B27 major anchor residue motifs, failed to bind to the relevant alpha chains, suggesting that the presence of a primary anchor residue motif is necessary for HLA class-I-peptide binding but is not by itself sufficient to guarantee binding.
		The binding characteristics of the primary anchor residue motifs reported for HLA-A2 (A0201, A0205) and HLA-B27 (B2705) alleles were investigated by a direct binding assay of the pertinent synthetic peptides to HLA class* I alpha chains derived from a panel of HLA homozygous B- cell lines of various HLA phenotypes, including four A2 subtypes.
	www.pdg.cnb.uam.es /UniPub/iHOP/gp/7801922.html (250 words)

	Ribbon Style Editor
		A ribbon residue class is defined by which atoms control the path of the ribbon and which atoms are considered part of the backbone (mainchain atoms).
		The path of the ribbon is controlled by two atoms per residue: the guide atom sets ribbon location (the path is smoothed over five successive residues), and the orientation atom sets the plane of the ribbon.
		There is also a nucleic acid rotated class, which differs from the nucleic acid class only in that the option to rotate the ribbon is on.
	www.cgl.ucsf.edu /chimera/docs/ContributedSoftware/ribbonstyle/ribbonstyle.html (1330 words)

	Simian and Human Immunodeficiency Virus Nef Proteins Use Different Surfaces To Downregulate Class I Major ...
		Class I MHC fluorescence and GFP fluorescence are shown on a logarithmic scale on the ordinate and the abscissa, respectively.
		Class I MHC or CD4 fluorescence and GFP fluorescence are shown on a logarithmic scale on the ordinate and the abscissa, respectively.
		Class I MHC and CD3 expression in Jurkat T cells transiently transfected with plasmids expressing wild-type (panel 2) or Y223F-mutated (panel 3) 239-Nef or a control empty vector (panel 1) was analyzed by two-color flow cytometry.
	jvi.asm.org /cgi/content/full/74/12/5691 (7780 words)

	GAP (RCWA) - Chapter 2: Residue Class-Wise Affine Mappings
		Apart from the restrictions imposed by the condition that the image of any residue class r(m) under f must be a subset of R and that one cannot divide by 0, the coefficients a_r(m), b_r(m) and c_r(m) can be any ring elements.
		The class shift nu_r(m) is the rcwa mapping of Z which maps n in r(m) to n + m and fixes Z \ r(m) pointwise.
		The class transposition tau_r_1(m_1),r_2(m_2) is an rcwa mapping of Z of order 2 which interchanges the disjoint residue classes r_1(m_1) and r_2(m_2) of Z and fixes the complement of their union pointwise.
	www.gap-system.org /Manuals/pkg/rcwa/doc/chap2.html (3338 words)

	Computing the Multiplicative Group of Residue Class Rings (ResearchIndex) (Site not responding. Last check: 2007-09-17)
		We present algorithms for the computation of the multiplicative group (o k =m 0) of the residue class ring o k =m 0 and the discrete logarithm therein based on the explicit representation of the group of principal units [Has80].
		They are applied to the computation of the ray class group Cl...
		10.3%: On The Computation Of The Multiplicative Group Of Residue Class..
	citeseer.lcs.mit.edu /627297.html (447 words)

	numlib::order - order of a residue class (Site not responding. Last check: 2007-09-17)
		numlib::order(a,m) returns the order of the residue class modulo m of a in the group of units modulo m if a and m are coprime.
		We compute the order of the residue class of 23 in the unit group modulo 2161:
		The residue class of 7 is not a unit in the ring
	www.mupad.de /doc/31/eng/numlib_order.html (131 words)

	[prg] 4 An Example -- Residue Class Rings (Site not responding. Last check: 2007-09-17)
		Section A Second Attempt to Implement Elements of Residue Class Rings shows how this can be done in our example, and Section Compatibility of Residue Class Rings with Prime Fields, the question of further compatibility of the new objects with known GAP objects is discussed.
		Note that the functions there assumed that their arguments were residue classes, and the user was responsible not to call them with other arguments.
		Probably it is not necessary to emphasize that with the approach of Section A First Attempt to Implement Elements of Residue Class Rings, installing methods for existing operations is usually not possible or at least not recommended.
	www.math.psu.edu /local_doc/gap4/htm/prg/CHAP004.htm (4933 words)

	Residue frequency profile (Site not responding. Last check: 2007-09-17)
		This tool determines which residues in a given kinase are rare and restricted to only a few sequences.
		In other words, you can get a measure of how "weird" the kinase is and which points in the sequence distinguish it from the proteins in the rest of the database or in a specified subset.
		The output is a graphical representation of the sequences along with the frequency coefficients on the scale from 0 to 100, where 0 means that the residue at this position is 100% conserved in all kinases, and 100 meaning that only this kinase has this residue at the current position.
	redwood.ucsf.edu /cgi-bin/ksd/profile.cgi (331 words)

	Residue (Wattos) (Site not responding. Last check: 2007-09-17)
		Residue names are unique across the universe; I will use the 1 and 3 letter abbreviations that the PDB has been using.
		The physical row id is the primary key into the residues and gives an id that is unique over all residues in the soup (entries/models/molecules).
		All residues in bitset given are renumbered according to the order they are numbered or to the physical order if no numbering is present.
	www.bmrb.wisc.edu /wattos/doc/Wattos/Soup/Residue.html (750 words)

	Ideals, Residue Classes, and the Residue Class Ring (Site not responding. Last check: 2007-09-17)
		Obviously an ideal is a subgroup too, and as we have seen with the coset decomposition of a group in Section 1.1.4, cosets can be formed, which in this context are defined as residue classes.
		Theorem 4 The residue classes of a ring with respect to an ideal form a ring.
		This ring is defined as the residue class ring.
	www.science.unitn.it /~flego/links/tesi1/node11.html (247 words)

	Residue (SDSC Molecular Biology Toolkit API) (Site not responding. Last check: 2007-09-17)
		This may be an amino acid residue, a nucleic acid residue, or a ligand.
		This class generally contains a list of Atom records, though it is perfectly fine to be empty when it is used only for sequence information.
		For disordered residues (that have no alpha atom) it may be set to an alternate index so that applicatons may still draw backbone traces through the residue.
	mbt.sdsc.edu /docs/api/edu/sdsc/mbt/Residue.html (806 words)

	Bio::Seq::Meta::Array - array-based generic implementation of a sequence class with residue-based meta information
		This class implements generic methods for sequences with residue-based meta information.
		The meta information in this class can be a string of variable length and can be a complex structure.
		Numbering starts from 1 and the number is inclusive, ie 1-2 are the first two residue of the sequence.
	cpan.uwinnipeg.ca /htdocs/bioperl/Bio/Seq/Meta/Array.html (1558 words)

	[prg] 5 An Example -- Residue Class Rings
		And when we have implemented the arithmetic operations for matrices of residue classes, we might be interested in domain operations such as computing the order of a matrix group over Z/4Z, a Sylow 2 subgroup, and so on.
		So the only interesting relation between the families of two residue classes is equality; binary arithmetic operations with two residue classes will be admissible only if their families are equal.
		By the way, also groups of (invertible) residue classes can be formed, but this may be of minor interest.
	www.dma.unina.it /gap4manual/prg/CHAP005.htm (4955 words)

	Class-defining characteristics in the mouse heavy chains of variable domains -- Galitsky et al. 12 (11): 919 -- Protein ...
		Each residue is assigned to a position in the B word (residue S to the position B1, residue L to the B2 position, etc.).
		Classes I and III are further subdivided into two subclasses.
		About 60 such class determining positions were found.
	peds.oupjournals.org /cgi/content/full/12/11/919 (3409 words)

	GAP (RCWA) - Chapter 3: Residue Class-Wise Affine Groups
		must be partitions of the underlying ring R into the same number of disjoint residue classes.
		which moves an element from the residue class i(m) to the residue class j(m).
		This is a partition of the base ring R into a finite number of residue classes which the group
	www.gap-system.org /Manuals/pkg/rcwa/doc/chap3.html (2463 words)

	pdb: dsrpdb::Residue Class Reference
		All the information concerning atoms and bonds for each residue is stored here.
		Return a list of all bonds which could be in the residue.
		Note, this label may be adjusted when the atoms is added to a residue to address naming inconsistencies.
	graphics.stanford.edu /~drussel/pdb/classdsrpdb_1_1Residue.html (331 words)

	Residue
		The Residue class represents individual amino acids or nucleic acid bases.
		Name is the residue's 3 letter abbreviation and num is its position in the Polymer.
		Overidden equals method that return true if object is not equals to this, is of the same class, has the same parent Polymer and the same sequence number.
	dasher.wustl.edu /ffe/ffe_javadoc/ffe/lang/Residue.html (395 words)

	A cohomological approach to properties of the norm residue symbol in higher dimensional class field theory, by Robert ... (Site not responding. Last check: 2007-09-17)
		A cohomological approach to properties of the norm residue symbol in higher dimensional class field theory, by Robert A. Bell
		In earlier work the author proved that the Vostokov symbol of an n dimensional mixed characteristic local field commutes with the Vostokov symbol of an n-1 dimensional mixed characteristic local field.Here the author generalizes this theorem to the case of a regular local ring A subject to certain conditions.
		This is done by using Kato's reformulation of the Vostokov symbol as a map from Milnor K-theory to Fontaine-Messing cohomology.
	www.math.uiuc.edu /K-theory/0166 (109 words)

	Residue (ABC compiler)
		This is a helper method for codeGen; it is called when an implementation of codeGen considers that the residue has succeeded, but hasn't yet considered the sense parameter.
		Has to be overwritten by all Residue classes that have children.
		Has to be overridden by all Residue classes that have children.
	musketeer.comlab.ox.ac.uk /javadoc/abc-dev/abc/weaving/residues/Residue.html (389 words)

	algebra/residue-class-ring.html
		To create concrete class, use the class method ::create or the function Algebra.ResidueClassRing() designating the base ring and the element of it.
		Returns the class of the residue class ring of the
		And we can obtain the residue classes of
	blade.nagaokaut.ac.jp /~sinara/ruby/math/algebra/algebra-0.70/doc/residue-class-ring.html (155 words)

	The allorecognition of H-2Kb-specific CD4-CD8- T cell hybridomas is influenced by the substitution at residue 256 of ...
		The allorecognition of H-2Kb-specific CD4-CD8- T cell hybridomas is influenced by the substitution at residue 256 of MHC class I molecules -- Tanabe et al.
		The allorecognition of H-2Kb-specific CD4-CD8- T cell hybridomas is influenced by the substitution at residue 256 of MHC class I molecules
		determine the residues of the alpha 3 domain that influence the
	www.jimmunol.org /cgi/content/abstract/145/6/1968 (326 words)

	Quantitation of peptide anchor residue contributions to class I major histocompatibility complex molecule binding -- ...
		Quantitation of peptide anchor residue contributions to class I major histocompatibility complex molecule binding -- Saito et al.
		Quantitation of peptide anchor residue contributions to class I major histocompatibility complex molecule binding
		Stability of empty and peptide-loaded class II major histocompatibility complex molecules at neutral and endosomal pH: Comparison to class I proteins
	www.jbc.org /cgi/content/abstract/268/28/21309 (564 words)

	Creation Functions (Site not responding. Last check: 2007-09-17)
		Create the residue class ring Z/mZ, where m is the integer corresponding to the factorization sequence Q. This is more efficient than creating the ring by m alone, since the factorization Q will be stored so it can be reused later.
		Given the ring of integers Z, and an integer m>1, create the residue class ring Z/mZ.
		Create the residue class containing k in the residue class ring R. Here k is allowed to be either an integer, or an element of the finite field F_p in the case R = Z/pZ, or an element of S = Z/nZ for a multiple or divisor n of m (with R = Z/mZ).
	www.math.wisc.edu /help/magma/text359.html (157 words)

	Class Residue (Site not responding. Last check: 2007-09-17)
		Groups of Atom are assembled in a Residue.
		return YES if this residue is one of the 20 standard amino acids
		returns a key for this residue (=concatenation of number and subcode)
	www.moltalk.org /Class_Hierarchy/Residue.html (138 words)

	Residue conservation profile (Site not responding. Last check: 2007-09-17)
		You can determine the extent of amino acid side chain conservation along a reference sequence (for residue numbering).
		Note that, unlike kinase "weirdness" profiling, this method determines conservation of side chains of the dataset as a whole, without a focus on any particular kinase.
		The reference sequence is required solely to provide numbering reference and highlight the binding site contact residues.
	redwood.ucsf.edu /cgi-bin/ksd/con.cgi (153 words)

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