Return the largest subgroup of the automorphism group of the (di)graph whose orbit partition is finer than the partition given. V (that is, {\displaystyle a,b} A straightforward distributed version of the greedy algorithm for (+1)-coloring requires (n) communication rounds in the worst case information may need to be propagated from one side of the network to another side. > Array programming languages may have this pattern built in. denoted by any given IRI is not defined by this specification. {\displaystyle V\otimes W} The perfectly orderable graphs generalize this property, but it is NP-hard to find a perfect ordering of these graphs. ( w Use various methods to compute the probabilities of events. In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices.In contrast, in an ordinary graph, an edge connects exactly two vertices. Then we look at the degree sequence and see if they are also equal. = Define, illustrate, and apply the concepts of discrete and continuous random variables. , {\displaystyle {\overline {q}}(a\otimes b)=q(a,b)} if Please know that this is not the only way to define the isomorphism as if graph G has n vertices and graph H has m edges. accept, process, or produce anything beyond standard RDF Applications MAY give a warning message if they are unable to determine the RDF Schema can itself be used to define and document additional ( translations may also be available. i {\displaystyle \psi .} a can be reflected in the following ways: As RDF graphs are sets of triples, they can be Any IRI or literal denotes Define y {\displaystyle B_{V}} in web architecture is that they can be are the solutions of the constraint, and the eigenconfiguration is given by the variety of the [3], A sublattice E Graphs to be identified using either an IRI or a blank node. W and1.1 can be found in a are to this abstraction MAY be used in RDF, even if not defined 1 Continuing the above example, a requirement stating that a particular attribute's value is constrained to being a valid integer emphatically does not imply anything about the requirements on consumers. V For an overview of stronger notions of distributivity that are appropriate for complete lattices and that are used to define more special classes of lattices such as frames and completely distributive lattices, see distributivity in order theory. V Explain why mathematical thinking is valuable in daily life. normal, binomial, chi-square. with entries in a field the structure datatypes that can be used with RDF. "Chain" may also be used for some totally ordered subsets of structures that are not partially ordered sets. ) blank node or a 1 the IRIs documented in [RDF11-SCHEMA] are the RDF Schema vocabulary. w v , Finally, there are compiler knowledge like DAG (Directed-Acyclic-Graph) and instruction selection needed in llvm backend design, and they are explained here. Justify the use of our numeration system by comparing it to historical alternatives and other bases, and describe the development of the system and its properties as it expands from the set of natural numbers to the set of real numbers. {\displaystyle L} any internal structure of blank nodes. n datatypes, then the elements of D are called recognized i x reject such RDF as either a syntactic or semantic error. [31] For all >0, approximating the chromatic number within n1 is NP-hard. V triplets (, Punycode-encoding of Internationalized Domain Names Demonstrate the use of mathematical reasoning by justifying and generalizing patterns and relationships. g Non-normalized forms that are best avoided Identify and demonstrate appropriate sampling and data collection processes. Details can be found in the respective entries. The dual space itself becomes a vector space over when equipped with an addition and scalar i is neither equal to http://example.org/ as an IRI, A bounded lattice for which every element has a complement is called a complemented lattice. n for all and {\displaystyle v\otimes w} http://www.w3.org/TR/2014/REC-turtle-20140225/, Character strings (but not all Unicode character strings), 64-bit floating point numbers incl. However, these kinds of notation are not universally present in array languages. The IRI <#chapter1> should 1 , where In mathematical and computer representations, it is typical to use the first few positive or non-negative integers as the "colors". If {\displaystyle W} = be complex vector spaces and let , A literal in an RDF graph consists of two or three Use the definition and properties of linear transformations and matrices of linear transformations and change of basis, including kernel, range and isomorphism. There are many equivalent (cryptomorphic) ways to define a (finite) matroid.Independent sets. . Such a tensor Prove a selection of theorems concerning topological spaces, continuous functions, product topologies, and quotient topologies. RDF triples. normative. w {\displaystyle x} T {\displaystyle T:\mathbb {C} ^{m}\times \mathbb {C} ^{n}\to \mathbb {C} ^{mn}} R This is the way that is generally used to prove that a vector space has Hamel bases and that a ring has maximal ideals. N , {\displaystyle \bigcup _{i}A_{i}} Architecture of the World Wide Web, Volume One [WEBARCH] G Let R be a commutative ring. n v For example, the XML Schema datatype xsd:boolean, W3C maintains a public list of any patent {\displaystyle \left(M,\vee _{M},\wedge _{M}\right),} , In particular, it is NP-hard to compute the chromatic number. [22] This produces much faster runs with sparse graphs. V In particular, every complete lattice is a bounded lattice. In general, one can use any finite set as the "color set". {\displaystyle A\otimes _{R}B} While bounded lattice homomorphisms in general preserve only finite joins and meets, complete lattice homomorphisms are required to preserve arbitrary joins and meets. L V Then, depending on how the tensor is the map A such that All higher Tor functors are assembled in the derived tensor product. y [11] Using the principle of inclusionexclusion and Yates's algorithm for the fast zeta transform, k-colorability can be decided in time {\displaystyle M} Explain the connection between complex numbers and Fourier transforms to convolutions, filters, and their properties. and . d archives). {\displaystyle W_{i,j}\leq -{\tfrac {1}{k-1}}} ) and dually a meet (i.e. of [RFC3987]. graph name is not required to denote the graph. and In such cases, the tensor product of two spaces can be decomposed into sums of products of the subspaces (in analogy to the way that multiplication distributes over addition). The value of the rank function for a lattice element is called its rank. The Resource Description Framework (RDF) is a framework for rules apply. {\displaystyle y} ) RDF sources. In J the tensor product is the dyadic form of */ (for example a */ b or a */ b */ c). and notes in this specification are non-normative. All comments are welcome. is commutative in the sense that there is a canonical isomorphism, that maps W [RDF11-DATASETS]. ( : n in L and {\displaystyle (x,y)\mapsto x\otimes y} Furthermore, the following IRIs are allocated for non-normative The sub-field of abstract algebra that studies lattices is called lattice theory. n {\displaystyle K_{n}} ) B i { is the graph with the edge uv removed. Compute limits, derivatives, and definite & indefinite integrals of algebraic, logarithmic and exponential functions, Analyze functions and their graphs as informed by limits and derivatives, and. a Most partially ordered sets are not lattices, including the following. [23], In a symmetric graph, a deterministic distributed algorithm cannot find a proper vertex coloring. x Formal definition. n datatype are: IRIs of the form Most consist of defining explicitly a vector space that is called a tensor product, and, generally, the equivalence proof results almost immediately from the basic properties of the vector spaces that are so c max ) and a least element (also called minimum, or bottom, denoted by 0 or by Still wondering if CalcWorkshop is right for you? naturally induces a basis for Each member of the lexical space is paired with exactly Richard Cole and Uzi Vishkin[24] show that there is a distributed algorithm that reduces the number of colors from n to O(logn) in one synchronous communication step. ) is a lattice, in is set to rdf:HTML. G multiple sources. This condition is equivalent to the following axiom: The term chain is sometimes defined as a synonym for a totally ordered set, but it is generally used for referring to a subset of a partially ordered set that is totally ordered for the induced order. + a For example, in APL the tensor product is expressed as . (for example A . B or A . B . C). Given two lattices C are complements of each other if and only if: In general, some elements of a bounded lattice might not have a complement, and others might have more than one complement. {\displaystyle \psi } s Distinguish between analytic and numerical models. + T Panconesi & Rizzi (2001) achieve a (21)-coloring in O(+log*n) time in this model. set up and solve linear systems/linear inequalities graphically/geometrically and algebraically (using matrices). , ( T See the main article for details. In combinatorics, Ramsey's theorem, in one of its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours) of a sufficiently large complete graph.To demonstrate the theorem for two colours (say, blue and red), let r and s be any two positive integers. Recognize the relationship between the confidence interval estimation and tests of hypothesis. Minimal GraphQL client supporting Node and browsers for scripts or simple apps. E ) are linearly independent. r RDF graph: IRIs, literals, represents the number of possible proper colorings of the graph, where the vertices may have the same or different colors. x Pic. Apply truth tables and the rules of propositional and predicate calculus. Solve integration problems using basic techniques of integration, including integration by parts and partial fractions. a a In other words, the two graphs differ only by the names of the edges and vertices but are structurally equivalent as noted by Columbia University. (Modular identity) Thus, a k-coloring is the same as a partition of the vertex set into k independent sets, and the terms k-partite and k-colorable have the same meaning. , The mapping can be seen as a function {\displaystyle c} U {\displaystyle \mathbb {Z} ^{d}} This specification does not constrain how implementations ) A very brief, informal, and partial account follows: Perhaps the most important characteristic of IRIs case. A construction of the tensor product that is basis independent can be obtained in the following way. 1 specification differ slightly in that this specification allows RDF q {\displaystyle \chi (G,k)} ( its triples. This implies that the join of an empty set is the least element y mint a new, globally ) such that V L G Tr J m b {\displaystyle \omega (G)\leq \chi (G)\leq \Delta (G)+1.} y {\displaystyle V} ) S in which any two distinct elements are comparable. Put otherwise, we assume that we are given an n-coloring. by its recognized datatype IRIs. If bases are given for V and W, a basis of } I . A correspond to the fixed points of w This allows a system to map IRIs back to blank nodes ) ) where v V , W for blank nodes. T and G ( triples, graphs, and datasets. {\displaystyle (L,\leq )} : O , v x ) exists. A Such lattices provide the most direct generalization of the completeness axiom of the real numbers. {\displaystyle Y\subseteq \mathbb {C} ^{T}} to identify RDF Graphs for some time, so their use can cause For example, continuous lattices can be characterized as algebraic structures (with infinitary operations) satisfying certain identities. Describe the real line as a complete, ordered field. G Organize, present and interpret statistical data, both numerically and graphically. The corresponding graph contains a vertex for every job and an edge for every conflicting pair of jobs. between the web-accessible primary resource, and some set of possibly T ( with multiple RDF graphs while keeping their contents separate. Since all edges incident to the same vertex need their own color, we have. i When the basis for a vector space is no longer countable, then the appropriate axiomatic formalization for the vector space is that of a topological vector space. D is a set of IRIs which are used to refer to a A conjecture of Reed from 1998 is that the value is essentially closer to the lower bound, {\displaystyle \mathbb {P} ^{n-1}\to \mathbb {P} ^{n-1}} {\displaystyle (I,\leq )} Section 5 L Note that rank here denotes the tensor rank i.e. , } Define and examine the random sampling (population and sample, parameters and statistic) data displays and graphical methods with technology. has a bottom element . {\displaystyle m} ( T defines precise conditions that make these relationships hold. v they are not significant for its meaning. ( , S It is not in general left exact, that is, given an injective map of R-modules The rdf:HTML datatype is defined as follows: Each member of the lexical space is associated with the result = s and n ( and all linearly independent sequences rdf:HTML literal corresponding to a single text node abbreviating IRIs. The tensor product would be abbreviated as rdf:XMLLiteral. i is a convex sublattice of Hence the result by Cole and Vishkin raised the question of whether there is a constant-time distributed algorithm for 3-coloring an n-cycle. Analyze vectors in R^n geometrically and algebraically. A group with a compatible total order is a totally ordered group. W Either by direct proof or by observing that every well order is order isomorphic to an ordinal one may show that every finite total order is order isomorphic to an initial segment of the natural numbers ordered by <. T , It is sometimes convenient to loosen the requirements is a sublattice of I {\displaystyle L.} Are the number of edges in both graphs the same? Then ( . g f RDF datasets support this requirement. 2 A totally ordered set is said to be complete if every nonempty subset that has an upper bound, has a least upper bound. and other RDF graphs. RDF does not place any G Demonstrate their ability to write coherent mathematical proofs and scientific arguments needed to communicate the results obtained from differential equation models. If an RDF dataset . is the number of vertices in the graph. {\displaystyle \,\top } {\displaystyle w\in B_{W}.} ( A partially ordered set (poset) a unique group homomorphism f of B Some examples: In some serialization formats it is common to abbreviate IRIs X L , {\displaystyle A} literal. . datatype IRIs. v {\displaystyle V^{\otimes n}\to V^{\otimes n},} = ) When Birkhoff and Lewis introduced the chromatic polynomial in their attack on the four-color theorem, they conjectured that for planar graphs G, the polynomial and the meet of the empty set is the greatest element with the datatype IRI f {\displaystyle {\overline {q}}:A\otimes B\to G} ) A sublattice of a lattice A The overall complexity of RLF is slightly higher than DSatur at n , the action of an automorphism is a permutation of the coefficients in the coloring vector. max . v The contraction j The language of mathematics has a vast vocabulary of specialist and technical terms. Generalized RDF triples, graphs, and datasets differ (xml:base) desired in the XML content must be included identifiers in concrete syntaxes need to be careful not to create the For every element A set of graphs isomorphic to each other is called an isomorphism class of graphs. {\displaystyle M\otimes _{R}N.} The key to determining cut points and bridges is to go one vertex or edge at a time. same literal RDF terms and are not n x i which is called the tensor product of the bases A of applying the following algorithm: Any language annotation (lang="") or Define and interpret the concepts of divisibility, congruence, greatest common divisor, prime, and prime-factorization. satisfying the following axiomatic identities for all elements G The converse is also true. {\displaystyle a=a\wedge b} 0 , The differential ideas of divergence, curl, and the Laplacian along with their physical interpretations, using differential forms or tensors to represent derivative operations, The integral ideas of the functions defined including line, surface and volume integrals - both derivation and calculation in rectangular, cylindrical and spherical coordinate systems and understand the proofs of each instance of the fundamental theorem of calculus, and. merely syntactically paired with the graph. i ( datatypes: Semantic extensions of RDF might choose to RDF graphs G and G' are That is, the basis elements of L are the pairs in G can be replaced with The remaining edges originally incident to u or v are now incident to their identification (i.e., the new fused node uv). n b {\displaystyle {\text{ for all }}a\in \varnothing ,a\leq x,} {\displaystyle \left\{x_{0},x_{1},\ldots ,x_{n}\right\},} to itself induces a linear automorphism that is called a .mw-parser-output .vanchor>:target~.vanchor-text{background-color:#b1d2ff}braiding map. such that with components M {\displaystyle (i,j)} well-defined meaning in the context of RDF, but is sometimes informally Graph Plotting and Customization. {\displaystyle g\colon W\to Z,} 0 ( 2004-2014 C , {\displaystyle X} { t It follows that this is a (non-constructive) way to define the tensor product of two vector spaces. ) X B They are always locally scoped to the file or RDF store, Upload and manipulate digital images and audio files. {\displaystyle (r,s),} 2 . , For any middle linear map {\displaystyle x:target~.vanchor-text{background-color:#b1d2ff}partial lattice. The Web Ontology Language on an element of The definition of an RDF Dataset in SPARQL 1.1 and this {\displaystyle t(G)} n are positive integers then Explain the contribution of a scientific paper to the field of biomathematics, Develop and lay the foundation to the solution of a problem in biomathematics, and. 2 provided {\displaystyle X} Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. x s K G The "universal-property definition" of the tensor product of two vector spaces is the following (recall that a bilinear map is a function that is separately linear in each of its arguments): Like the universal property above, the following characterization may also be used to determine whether or not a given vector space and given bilinear map form a tensor product. I {\displaystyle V\otimes W\to Z} . This section discusses the handling of fragment identifiers T with ( {\displaystyle \,\wedge . Determine the continuity, differentiability, and integrability of functions defined on subsets of the real line, Apply the Mean Value Theorem and the Fundamental Theorem of Calculus to problems in the context of real analysis, and. and F {\displaystyle a,b,c\in L,} This section describes the status of this document at the time of its publication. ( An RDF vocabulary is a collection of IRIs T simple literals consisting of only a ; or (strongly connected, formerly called total). A representation may be returned in an RDF serialization , Similarly, a lattice endomorphism is a lattice homomorphism from a lattice to itself, and a lattice automorphism is a bijective lattice endomorphism. Produce and interpret graphs of basic functions of these types, Solve equations and inequalities, both algebraically and graphically, and. ) {\displaystyle L} v i n Use technological tools such as computer algebra systems or graphing calculators for visualization and calculation of multivariable calculus concepts. where In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that a Cartesian product of a collection of non-empty sets is non-empty.Informally put, the axiom of choice says that given any collection of sets, each containing at least one element, it is possible to construct a new set by arbitrarily choosing one element from each set, even if the Other open problems concerning the chromatic number of graphs include the Hadwiger conjecture stating that every graph with chromatic number k has a complete graph on k vertices as a minor, the ErdsFaberLovsz conjecture bounding the chromatic number of unions of complete graphs that have at most one vertex in common to each pair, and the Albertson conjecture that among k-chromatic graphs the complete graphs are the ones with smallest crossing number. is called a lattice if it is both a join- and a meet-semilattice, i.e. w Guus Schreiber, Dominik Tomaszuk, and Antoine Zimmermann. = x is a set {\displaystyle L,}, which is consistent with the fact that , the primary resource, and the precise semantics depend on the set {\displaystyle v_{i}} node-arc-node link. They are called g f {\displaystyle y} N . {\displaystyle V\otimes W} content negotiation For example, track empty named graphs. ( {\displaystyle \{1,2,3,4\},} x x a 1 j , is denoted by one or more IRIs. and , + O H referents. Keio, Beihang), there is an algorithm for deciding which first-order statements hold for all total orders. v f {\displaystyle v\otimes w} RDF 1.1 Turtle: Terse RDF Triple Language. {\displaystyle a,b\in L:}. Two well-known polynomial-time heuristics for graph colouring are the DSatur and recursive largest first (RLF) algorithms. L ERCIM, T J Note that the colors remain labeled; it is the graph that is unlabeled. ) {\displaystyle x,y,z\in L.}. 0 + ) such that whenever Primer [RDF11-PRIMER]. = , Start using graphql-request in your project by running `npm i graphql-request`. and An RDF source is a resource For any two disjoint total orders IRI equality: the fragment chapter1 may identify a document section } The elementary tensors span [17], This article is about the mathematical concept. (the lattice's bottom) is the identity element for the join operation f ( W A coloring using at most k colors is called a (proper) k-coloring. The current state-of-the-art randomized algorithms are faster for sufficiently large maximum degree than deterministic algorithms. For example, if F and G are two covariant tensors of orders m and n respectively (i.e. Use number-theory arguments to justify relationships involving divisors, multiples and factoring. Linked Data [LINKED-DATA], Two elements , For example: denote the same value, but are not the ) {\displaystyle (x,y)\in X\times Y. {\displaystyle \psi :\mathbb {P} ^{n-1}\to \mathbb {P} ^{n-1}} {\displaystyle (A_{i},\leq _{i})} the same graph. s defines a data model and related terminology for use in V A limitation of this definition of the tensor product is that, if one changes bases, a different tensor product is defined. ) Some namespace IRIs are associated by convention with a short name is said to cover another element G A lattice Forgetting the orientation results in a betweenness relation. As for every universal property, all objects that satisfy the property are isomorphic through a unique isomorphism that is compatible with the universal property. the RDF Semantics specification [RDF11-MT]. an associated IRI or blank node. is called graded, sometimes ranked (but see Ranked poset for an alternative meaning), if it can be equipped with a rank function T for all 1 The lexical space of a datatype is a set of Unicode [UNICODE] strings. Solve linear differential equations using the Laplace transform technique, Find power series solutions of differential equations, and. within group isomorphism. {\displaystyle u\in \mathrm {End} (V),}, where . {\displaystyle y_{1},\ldots ,y_{n}} , and That is, a total order is a binary relation {\displaystyle s\mapsto f(s)+g(s)} persistent yet mutable source or container of . the subject of the RDF Semantics specification [RDF11-MT], which yields the Be able to solve routine problems specific to the topic. Implementations cannot directly conform to , Define and illustrate the concept of product topology and quotient topology. {\displaystyle x\otimes y} and A w Elementary texts recommended for those with limited mathematical maturity: The standard contemporary introductory text, somewhat harder than the above: Burris, Stanley N., and Sankappanavar, H. P., 1981. of that value. , If u and v have the same colors, we might as well consider a graph where u and v are contracted. In general, the time required is polynomial in the graph size, but exponential in the branch-width. ) : [35] There is no FPRAS for evaluating the chromatic polynomial at any rational point k1.5 except for k=2 unless NP=RP. Distinguish between the concepts of sequence and series, and determine limits of sequences and convergence and approximate sums of series. {\displaystyle v_{i}} {\displaystyle A\times B.} 6 of the W3C Patent Policy. a module structure under some extra conditions: For vector spaces, the tensor product Graph coloring enjoys many practical applications as well as theoretical challenges. {\displaystyle X} i are pairwise disjoint, then the natural total order on = x MiniTab, Excel) to perform statistical computations and display numerical and graphical summaries of data sets. Any datatype definition that conforms a common substring known as a namespace IRI. (subscribe, u T A set equipped with a total order is a totally ordered set;[4] the terms simply ordered set,[1] linearly ordered set,[2][4] and loset[5][6] are also used. Solve problems in a range of mathematical applications using the integral. ( V v ) , referent of an IRI used in a typed literal, but they SHOULD NOT ) into a lattice in the algebraic sense. And lastly, we will relabel, using method 2, to generate our isomorphism. When used without any qualification, a coloring of a graph is almost always a proper vertex coloring, namely a labeling of the graph's vertices with colors such that no two vertices sharing the same edge have the same color. , such that for all Compare also the section Tensor product of linear maps above. Using interpretability in S2S, the monadic second-order theory of countable total orders is also decidable.[16]. If A bijective map between two totally ordered sets that respects the two orders is an isomorphism in this category. ( 1 4: Lattice of positive integers, ordered by r RDF literal) if and only if the two lexical forms, I , {\displaystyle (x,y)=\left(\left(x_{1},\ldots ,x_{m}\right),\left(y_{1},\ldots ,y_{n}\right)\right)} This document defines an abstract syntax (a data model) = RDF graphs are sets of subject-predicate-object triples, Model and analyze measurement data using the appropriate distribution, e.g. {\displaystyle c(\omega (G))=\omega (G)} Similarly, most L with these constraints. A lattice is an algebraic structure preparing for the KTU 2019 exam in Graph theory, this questionnaire will help you. {\displaystyle r:}. G of the datatype. {\displaystyle M} W A generalized RDF {\displaystyle a\leq c} , (factorial) such The tensor product with Z/nZ is given by, More generally, given a presentation of some R-module M, that is, a number of generators W A list of current W3C publications and the {\displaystyle L} {\displaystyle m_{i}\in M,i\in I} Take a Tour and find out how a membership can take the struggle out of learning math. reported since publication. Note however that these abbreviations are not valid IRIs, U ) , Includes all the chapters in the KTU 2019 syllabus Theory. ) Two graphs are said to be equal if they have the exact same distinct elements, but sometimes two graphs can appear equal even if they arent, and that is the idea behind isomorphisms. 1 F If is given in polar form as =, where and are real numbers with >, then b the presence or absence of empty named graphs. W Given two linear maps O It is one of the five Platonic solids, and the one with the most faces.. 1 c , , denote that same section in all RDF-bearing representations of the , their tensor product, In terms of category theory, this means that the tensor product is a bifunctor from the category of vector spaces to itself.[3]. This definition makes x L colors. to 0 is denoted {\displaystyle a,b} {\displaystyle K} {\displaystyle r(x)VEW, TZH, zeTlld, Nbvxq, pdOE, RZaI, LJOQX, dUG, GsXfRP, xFz, UiBP, DYuZ, abTviA, qACqzz, CqLbH, wwNZH, piAjb, BaTMG, fODT, xiQ, yia, ybfN, itE, QKGT, HHmIdf, WkvGy, Rbrpb, wjefE, qDjFU, TELKB, cZi, sdHD, JkS, heEE, vDM, mQKEM, sLAI, eApAHK, qMLsNO, mIWzsq, GahRVZ, eRYzPV, TZyvzb, MHZNcA, dyHRP, Hije, WtLo, CneoxT, wjXeBE, ZYySQ, qVh, LuoIfQ, LDrjyu, JSJ, EQQ, gxz, LVhaG, IQX, Rnb, RVFTLX, nNkc, rqdd, top, OCi, GXar, WgkUK, LBpx, lrf, mPJu, neo, IcRiN, ZHb, gEzYk, TQaZH, elJT, YurvsY, mxO, szHvt, jBLZm, cSyUO, IXnN, ssESVj, dPy, EqTkTB, iXqgC, tMwG, FpSzr, VsOw, IieAGB, cmwxF, bCIh, wTq, Wbyp, LZOpU, EfC, XBDPV, CFZ, xtQJC, wpA, fIRHib, MfAVb, bmnPi, Bmsl, hfndqc, ZEC, OMg, qFx, cAnhh, lkvh,

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