nonuniform random point sets via warping
Báo cáo hóa học: " Research Article Finding Common Solutions of a Variational Inequality, a General System of Variational Inequalities, and a Fixed-Point Problem via a Hybrid Extragradient Method" ppt
... the mapping G is nonexpansive provided μi ∈ 0, 2μi for i 1, Fixed Point Theory and Applications Throughout this paper, the fixed -point set of the mapping G is denoted by Γ Utilizing Lemma CWY, they ... inequality 1.1 , the solution set of the general system 1.3 and the fixed -point set of the strictly pseudocontractive mapping S : C → C via a hybrid extragradient method based on the well-known extragradient ... exists a constant ρ ∈ 0, such that Qx − Qy ≤ ρ x − y for all x, y ∈ C For every point x ∈ H, there exists a unique nearest point in C, denoted by PC x such that x − PC x ≤ x − y , ∀y ∈ C 2.6 The mapping...
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Báo cáo hóa học: " FIXED POINT SETS OF MAPS HOMOTOPIC TO A GIVEN MAP" pot
... X with endpoints in X − Φ is homotopic relative to the endpoints to a path in X − Φ The notion of by-passing plays a key role in relative Nielsen theory and in realizing fixed point sets Currently, ... constant path at the point (−1,0), and for F2 we can choose α2 to be the constant path at the point (8,0) The point at which we define αi is unimportant, provided that the point lies in the intersection ... closed subsets of X 18 Fixed point sets of maps homotopic to a given map Theorem 5.3 Let f : (X,A) → (X,A) be a map of a compact polyhedral pair in which X and A have no local cutpoints Suppose...
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Báo cáo toán học: "Some Results on Mid-Point Sets of Sets of Natural Numbers" doc
... hand, mid -point sets, primarily of Cantor type sets were studied by Randolph [4] and subsequently by Bose Majumdar [1] Then Ganguly and Majumdar [3] proved some results on mid -point sets of two ... ratio sets of sets of natural numbers, Acta Math (Nitra) (1995) 35–40 D K.Ganguly and M Majumdar, Some results on mid -point sets, J Pure Math (1990) 27–33 J Randolph, Distances between points ... on mid -point sets of two linear sets in the light of the Lebesgue density In the present paper the authors restrict their investigations into mid -point sets of sets of natural numbers with the...
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Báo cáo toán học: "Convexly independent subsets of the Minkowski sum of planar point sets" pdf
... set S, which is a subset of the Minkowski sum of some planar point sets P and Q with |P | = m and |Q| = n Notice that the set of all midpoints of the connecting segments of an n-element set P can ... be two planar point sets with |P | = m and |Q| = n For any convexly independent subset S ⊆ P ⊕ Q, we have |S| = O(m2/3 n2/3 + m + n) Proof of Theorem We reduce the problem to a point- curve incidence ... C, and m points p1 , , pm Let I(m, n) denote the maximum number of point- curve incidences which occur in such a configuration Notice that C + ti and C + tj intersect in at most two points for...
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Báo cáo toán học: "A tight lower bound for convexly independent subsets of the Minkowski sums of planar point sets" potx
... p ∈ P, q ∈ Q} A point set P ⊆ Rd is convexly independent if every point in P is an extreme point of the convex hull of P Basic idea Let n and m be integers Let P be a planar point set that maximizes ... number of point- line incidences between m points and n lines Erd˝s [2] showed that for m, n ∈ N, o there exist a set P of m points and a set L of n lines in the plane with Ω(m2/3 n2/3 +m+n) point- line ... Sopher Convexly independent subsets of the Minkowski sum of planar point sets The Electronic Journal of Combinatorics 15 (2008), N8 [2] P Erd˝s On a set of distances of n points The American Mathematical...
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Báo cáo toán học: "Sharp threshold functions for random intersection graphs via a coupling method" potx
... Thomason, A Random graphs of small order Random Graphs ’83 , Proceedings, Pozna´ , 1983, 47 – 97, 1985 n [6] Efthymiou, C and Spirakis, P G On the existence of hamiltonian cycles in random intersection ... Equivalence of a random intersection graph and G(n, p) Random Structures and Algorithms 38 (1-2), 205–234, 2011 [16] Rybarczyk, K and Stark, D Poisson approximation of the number of cliques in random intersection ... B Random intersection graphs PhD thesis, Department of Mathematical Sciences, The Johns Hopkins University, 1995 [18] Stark, D The vertex degree distribution of random intersection graphs Random...
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Báo cáo toán học: "Counting Triangulations of Planar Point Sets" pps
... in Section 1, for counting triangulations of point sets in convex position We will also need the following extension of these numbers, for point sets in “almost” convex position Consider a simple ... n ∈ N points in general + position, tr (S) = Ω((1/δ1 )n ) the electronic journal of combinatorics 18 (2011), #P70 + Proof (i) Let S be a set of n > points that maximizes tr (S) among all sets ... position assumption that no three points are collinear When there are three (or more) points on the same line, it can be easily checked that slightly perturbing the middle point can only increase the...
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Báo cáo khoa học: Restriction point control of the mammalian cell cycle via the cyclin E/Cdk2:p27 complex doc
... Restriction point control of the mammalian cell cycle R Conradie et al Introduction Arthur Pardee [1] defined the restriction point (RP) as the apparent switch point in the late G1-phase, ... normal point via perturbations of steps that effect the cyclin E/Cdk2:p27 concentration FEBS Journal 277 (2010) 357–367 ª 2009 The Authors Journal compilation ª 2009 FEBS 365 Restriction point ... switch points in the model, the RP is not a hard coded event (i.e it is not an explicit function, but rather an emergent property of the model), and it is empirically defined as the last time point...
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Báo cáo toán học: " Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self-mappings" pptx
... nonexpansive random self-mapping has a random fixed point are obtained By introducing a random iteration process with weak contraction random operator, we obtain a convergence theorem of the random ... X is the random f ixed point of the random map T : Ω × F → X if and only if T (ω, ξ(ω)) = ξ(ω), for each ω ∈ Ω Throughout this article, we denote the set of all random fixed points of random mapping ... process to a random fixed point for nonexpansive random self-mappings Introduction Random nonlinear analysis is an important mathematical discipline which is mainly concerned with the study of random...
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báo cáo hóa học:" Research Article Approximation of Solutions for Second-Order m-Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization" pdf
... second-order four -point boundary value problems,” Applied Mathematics and Computation, vol 202, no 1, pp 54–66, 2008 29 B Ahmad, “Approximation of solutions of the forced Duffing equation with m -point boundary ... It can easily be verified that the homogeneous problem associated with 1.1 - 1.2 has only the trivial solution Therefore, by Green’s function method, the solution of 1.1 - 1.2 can be written as ... uniformly to a unique solution of the problems 1.1 - 1.2 Proof For y ∈ R, we define ω y modified m -point BVP −x t max{−M, min{y, M}} and consider the following t ∈ 0, , , f t, x t , ω x t m−2 px...
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báo cáo hóa học:" Research Article Random Bit Flipping and EXIT Charts for Nonuniform Binary Sources and Joint Source-Channel Turbo Systems" docx
... computation proposed in [7] In the remainder, random variables are written with capital letters and realizations with small letters P(z) is the abbreviation of the probability P(Z = z) The subsequence ... decoder R: Channel c LO,: s LO,: Y: Π Flipped source (de)coder Figure 2: Equivalent system with a random bit flipping, s c Uk , Uk , Fk ∈ {+1, −1} As in Figure 1, we define LI,: = LO,: and s c LO,: ... IIs , the input LLR Ls on U is generated as in (I) in Table 1, where NL is I a centered Gaussian random variable of variance 2μL and the invertible function JLU (·) is given by JLU μ = HU − P(U...
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Báo cáo hóa học: " Research Article Fixed Point Theorems for Random Lower Semi-Continuous Mappings" docx
... Shahzad, Random fixed points of set-valued maps,” Nonlinear Analysis: Theory, Methods & Applications, vol 45, no 6, pp 689–692, 2001 S Itoh, Random fixed -point theorems with an application to random ... continuous random operator such that T is a contraction with constant k ω for each ω ∈ Ω Then T has a unique random fixed point Proof For each ω ∈ Ω, the mapping T has a unique fixed point, ξ ω ... : Ω × C → C X be a continuous hemicompact random operator If, for each ω ∈ Ω, the set F ω : {x ∈ C : x ∈ T ω, x } / φ, 3.10 then T has a random fixed point Proof Due to Theorem 3.2, it would be...
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Báo cáo hóa học: " Research Article Well-Posedness and Fractals via Fixed Point Theory" docx
... “Fixed points of contractive functions,” Bollettino dell’Unione Matematica Italiana, vol 5, pp 26–42, 1972 C Chifu and G Petrusel, “Existence and data dependence of fixed points and strict fixed points ... Fixed Point Theory and Applications, vol 2007, Article ID 34248, pages, 2007 10 I A Rus, A Petrusel, and G Petrusel, “Fixed point theorems for set-valued Y -contractions,” in Fixed ¸ ¸ Point ... uniqueness, and data dependence results for the strict fixed point of a multivalued operator of Reich type Since, in our approach, the strict fixed point is constructed by iterations, this generates the...
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Báo cáo hóa học: " Research Article Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators" pot
... convex sets in an infinite-dimensional space X has the following known formulation Theorem 2.2 Let K0 and K1 be disjoint convex subsets of a linear space X, and let K0 have an internal point Then ... whole space X Therefore, at least for the point x1 ∈ X determined by (2.16), we have a corresponding support hyperplane on this point separating the sets ∗ K0 and K1 In other words, if we will ... nonempty convex sets in n In order that there exists a hyperplane separating K0 and K1 properly, it is necessary and sufficient that the relative interiors ri K0 and ri K1 have no point in common,...
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Báo cáo hóa học: " A Robust on-Demand Path-Key Establishment Framework via Random Key Predistribution for Wireless Sensor " doc
... such that yi = P(xi ) for all i’s Suppose K is the path-key we randomly choose for communication To break down K into m pieces, we randomly construct a polynomial of degree k − 1, P(x) = a0 + a1 ... pathkey (ii) v randomly selects a polynomial P(x) of degree k − 1, P(x) = a0 + a1 x + · · · + ak−1 xk−1 , where ak−1 = and K = a0 v constructs m key nuggets each of which contains a randomly selected ... defending, with high probability, against random- dropping attacks staged from a captured node However, risk still exists if the captured node sits on the crossing point of several paths between m proxies...
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Báo cáo hóa học: " POSITIVE SOLUTIONS OF SOME THREE-POINT BOUNDARY VALUE PROBLEMS VIA FIXED POINT INDEX FOR WEAKLY INWARD A-PROPER MAPS" potx
... solutions of some three point boundary value problems via fixed point index theory, Nonlinear Anal 47 (2001), no 7, 4319–4332 , Remarks on positive solutions of some three point boundary value problems, ... A-proper on a set K if it is A-proper at all points of K A-proper alone means A-proper on X In a similar way, for a fixed γ ≥ 0, T is said to be Pγ -compact at a point y ∈ X with respect to Γ if λI − ... (x,x) for x ∈ D Lan and Webb [12] defined a fixed point index for weakly inward A-proper maps, which has the usual properties of the classical fixed point index, that is, existence, normalization,...
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Báo cáo toán học: " Random walks on generating sets for finite groups" docx
... notion of convergence is measured by the L∞ , or relative pointwise distance, which is defined as follows After s steps, the relative pointwise distance of P to its stationary distribution π is ... Graham, Stratified random walk on an n-cube, preprint the electronic journal of combinatorics 4, no (1997), #R7 14 [5] P Diaconis, R L Graham and J A Morrison, Asymptotic analysis of a random walk ... random walk on a hypercube with many dimensions, Random Structures and Algorithms, (1990), 51–72 [6] P Diaconis and L Saloffe-Coste, Walks on generating sets of group, Stanford Technical Report No...
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Báo cáo toán học: "Minimum connected dominating sets of random cubic graphs" docx
... n-vertex cubic graph: take 3n points in n buckets labelled n (with three points in each bucket) and choose u.a.r a disjoint pairing of the 3n points If no pair contains two points from the same bucket ... paper we consider the average-case behaviour of a randomised version of these algorithms We analyse the performance of this randomised algorithm on random n-vertex cubic graphs using differential ... process that generates a random cubic graph In this way, we generate the random graph in the order that the edges are examined by the algorithm During the generation of a random cubic graph we choose...
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Báo cáo toán học: "Convergence in distribution for subset counts between random sets" pptx
... [2] Bogn´r, K On random sets Magyar Tud Akad Mat Kutat´ Int K¨l (1961) a o o 425–440 [3] Kohayakawa, Y., Kreuter, B., Osthus, D The length of random subsets of Boolean lattices Random Structures ... considered by R´nyi e A coupling for subset counts between random sets In this section we prove Theorem It is convenient initially to work with the random variable W Note that (1) implies P(W = X) = ... be decomposed into disjoint sets Γ+ , Γ− , Γ0 such that Γα = α α α Γ+ ∪ Γ+ ∪ Γ0 which have certain properties We suppose that for each α ∈ Γ that there α α α exist random variables (Jβ,α , β ∈...
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Báo cáo tin học: "Dominating sets of random 2-in 2-out directed graphs" ppt
... two in-points and two outpoints A bijection P from the set of 2n in-points to the set of 2n out-points is called a pairing If P is only a partial function (from the in-points to the out-points) ... corresponding to a and b), or exposing an in -point, or just exposing a point (when the pair corresponding to the in -point or point is clear from the context) Points that are not in the domain and not ... choose which out-points will be the images of the in-points associated with vertices in Σ, and there are (2k)! ways to map the out-points to the in-points We still have 2n − 2k in-points left, so...
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