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Layout of a formal letter
... whether you are male of female, put you title in brackets after your name Content of a Formal Letter First paragraph The first paragraph should be short and state the purpose of the letter- to make ... something, etc The paragraph or paragraphs in the middle of the letter should contain the relevant information behind the writing of the letter Most letters in English are not very long, so keep the ... format The rules for a good layout Business letters are subject to more rules than personal letters, as this example shows: Dear Madam or Sir: An up-to-date layout of English business letters...
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Tài liệu Linux Device Drivers-Chapter 16 :Physical Layout of the Kernel Source ppt
... before start_kernel is, for the most part, assembly code, but several platforms call library C functions from there (most commonly, inflate, the core of gunzip) On most common platforms, the code ... Despite the huge addition of new features over time, the amount of conditional compilation dropped significantly in 2.4 with the adoption of init calls Another advantage of this technique is that ... memory objects of the same size Some slabs are specialized and contain structs of a certain type used by a certain part of the kernel; others are more general and contain memory regions of 32 bytes,...
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Tài liệu Báo cáo " Common pronunciation problems of vietnamese learners of english " docx
... addition, the escape of air is diffuse (compared with that of /s, z/), the friction occurring between a more extensive area of the tongue and the roof of the mouth In the case of / /, the friction ... manner over the whole of the central surface of the tongue with friction occurring between the blade/front region of the tongue and the alveolar/front palatal section of the roof of the mouth During ... Variations of the plosives Alveolar Approximant: /r/ The most common allophone of RP /r/ is a voiced post-alveolar frictionless approximant The soft palate being raised and the nasal resonator shut off,...
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Tài liệu Báo cáo khoa học: Crystal structure of an ascomycete fungal laccase from Thielavia arenaria – common structural features of asco-laccases ppt
... buffer at pH 6.0 (25 °C) Structural formulas of the substrates are presented Redox potentials (E°) of T1 coppers of the laccases and redox potentials of the substrates at pH 4.5 and pH 6.0 are ... by the nature and position of substituents on the phenolic ring of the substrate Second, the redox potential (E°) of the substrate must be low enough, as the rate of the reaction has been shown ... Crystal structure of a Thielavia arenaria laccase J P Kallio et al thermostability of the enzyme [34] On the basis of the sequence of TaLcc1, there are eight putative N-glycosylation sites (Asn89,...
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Báo cáo hóa học: "Common fixed points of R-weakly commuting maps in generalized metric spaces" ppt
... the common fixed point of f and S Since gu = fz, following arguments similar to those given above we conclude that fz is a common fixed point of g and T as well Now we show the uniqueness of fixed ... TX, gX ⊆ SX, and one of the pair {f, S} or {g, T} is compatible If the mappings in the compatible pair are continuous, then f, g, S and T have a unique common fixed point Proof Suppose that f and ... with ≤ h
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Báo cáo hóa học: " Rodé’s theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces" pdf
... We denote by F(S ) the set of all common fixed points of mappings in S (S), i.e., F(S ) := s∈s F(Ts ), where F (Ts) := {x Î C : Tsx = x} is the set of fixed points of Ts For any bounded net {xa} ... Page of 14 Proof This is an easy consequence of Proposition 3.4 since μs’ (f (s’)) = μs(f (s’)) = lims f (s’) = a ■ Proposition 3.6 [[12], Proposition 4.1] Let C be a closed convex subset of a ... Research University Project under Thailand’s Office of the Higher Education Commission for financial support Author details Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang...
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Báo cáo hóa học: " Research Article Convergence of Iterative Sequences for Common Zero Points of a Family of m-Accretive Mappings in Banach Spaces" pdf
... convergence theorems of fixed points are obtained in a uniformly smooth Banach space; see 10 for more details Very recently, Zegeye and Shahzad 11 studied the common zero problem of a family of m-accretive ... 1.17 and 1.18 converges strongly to a common zero point of a finite family of m-accretive mappings in reflexive Banach spaces, respectively Preliminaries The norm of E is said to be Gˆ teaux differentiable ... 70, no 5, pp 1956–1964, 2009 Y J Cho, S M Kang, and X Qin, “Approximation of common fixed points of an infinite family of nonexpansive mappings in Banach spaces,” Computers & Mathematics with Applications,...
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Báo cáo hóa học: " Research Article General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces" ppt
... converges strongly to x∗ The rest of the proof is almost the same as Theorem 3.1 This completes the proof Remark 3.3 Theorems 3.1 and 3.2 improve and generalize Theorem 3.1 of from contractive mapping ... sequence {xn } converges strongly as n → ∞ to a common fixed point x∗ ∈ F Γ that is the unique solution in F Γ to VI 3.2 Proof Similar to the proof of Theorem 3.1, we can verify that the sequence ... supported by The Key Program of NSFC Grant no 70831005 , the National Natural Science Foundation of China 10671135, 11026063 , and the Open Fund PLN0904 of State Key Laboratory of Oil and Gas Reservoir...
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Báo cáo hóa học: " Research Article Common Fixed Points of Weakly Contractive and Strongly Expansive Mappings in Topological Spaces" ppt
... set of fixed points of f resp., g is denoted by F f resp., F g A point x ∈ M is a coincidence point common fixed point of f and g if fx gx x fx gx The set of coincidence points of f and g is denoted ... f k a Journal of Inequalities and Applications a Thus a is a common fixed point of f k and g k and hence of f a contradiction, hence f k a and g Now we establish the uniqueness of a Suppose there ... get an extension to common fixed points of 7, Theorem for Banach spaces with a quasimodulus endowed with a suitable transitive binary relation The most interesting result of this section is Theorem...
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báo cáo hóa học:" Research Article Viscosity Approximation to Common Fixed Points of Families of Nonexpansive Mappings with Weakly Contractive Mappings" docx
... to a common fixed point p of {Tm }, m ∈ {1, 2, } such that p is the unique solution, in F, to the variational inequality f p − p, J y − p ≤ 0, ∀y ∈ F 3.3 Proof Step We prove the uniqueness of ... inequalities of uniformly convex and uniformly smooth Banach spaces,” Journal of Mathematical Analysis and Applications, vol 157, no 1, pp 189–210, 1991 Z Opial, “Weak convergence of the sequence of successive ... of T , where p is the unique solution in F T to the following variational inequality: f p − p, j u − p ≤ ∀u ∈ F T 3.19 Acknowledgment A Razani would like to thank the School of Mathematics of...
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Báo cáo hóa học: " Research Article Common Fixed Points of Generalized Contractive Hybrid Pairs in Symmetric Spaces" ppt
... then f, g, S, T have a unique common fixed point Proof Since 2.7 is a special case of 2.1 , the result follows from Theorem 2.1 Corollary 2.3 Let f, g be self maps of a symmetric space X and let ... have a unique common fixed point Proof Condition 2.12 is a special case of condition 2.1 with f result follows from Theorem 2.1 g and T S Therefore the Theorem 2.5 Let f, g be self maps of a symmetric ... Journal of Pure and Applied Mathematics, vol 29, no 3, pp 227–238, 1998 22 O Hadˇ i´ , Common fixed point theorems for single-valued and multivalued mappings,” Review of zc Research Faculty of Science...
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Báo cáo hóa học: "Research Article Convergence Theorems for the Unique Common Fixed Point of a Pair of Asymptotically Nonexpansive Mappings in Generalized Convex Metric Space" pptx
... The proof of uniqueness is the same to that of Theorem 2.1 Therefore, {xn } converges to the unique common fixed point of S and T Corollary 2.4 Let E be a nonempty closed convex subset of Banach ... Then, {xn } converges to the unique common fixed point of S and T if and only if 0, where d x, F inf{ x − p : p ∈ F} lim infn → ∞ d xn , F Proof From the proof of Theorem 2.1, we have Sn x − p ≤ ... space is a special example of the space Late on, Ciric et al proved the convergence of an Ishikawa type iteration process to approximate the common fixed point of a pair of mappings under condition...
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Báo cáo hóa học: " Research Article Approximation of Common Fixed Points of a Countable Family of Relatively Nonexpansive Mappings" docx
... Theory and Applications Recently, a problem of finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping is studied ... > for Proof Step {xn } is well defined This step is almost the same as Step of the proof of Theorem 3.3, so it is omitted Step {xn } is a Cauchy sequence in C We can follow the proof of Theorem ... analysis can be formulated as a problem of finding a fixed point of a certain mapping or a common fixed point of a family of mappings This paper deals with a class of nonlinear mappings, so-called relatively...
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Báo cáo hóa học: " Research Article Centroid Localization of Uncooperative Nodes in Wireless Networks Using a Relative Span Weighting Method" pot
... Research Council of Canada (NSERC), and the Automobile of the 21st Century (AUTO21) and Mathematics of Information Technology and Complex Systems (MITACS) Networks of Centers of Excellence (NCEs) ... one microsecond of clock drift between receivers [13] At the speed of light, a one microsecond drift translates into a distance difference of 300 meters, resulting in a margin of location error ... a set of known points pi in a Euclidian space, for example, a number of receivers within radio range of a target transmitter to be localized, Bulusu et al [17] approximate the location p of a...
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Báo cáo hóa học: " Research Article Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces" doc
... Hence, the set F of common fixed points of {Sn } and {Tn } is closed and so x∗ ∈ F This completes the proof of Theorem 2.1 Remark 2.2 Theorem 2.1 is a generalization and improvement of the corresponding ... xn || 0, the sequence {xn } converges strongly to a common fixed point p ∈ F if and only if lim inf d xn , F n→∞ 2.2 Proof We divide the proof of Theorem 2.1 into four steps I First, we prove that ... → ∞ αn , ∞ n γn < ∞, then the conclusions of Theorem 2.1 for sequence {xn } defined by 2.27 still hold Proof By the same method as given in the proof of Theorem 2.1, we can prove that the mapping...
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Báo cáo hóa học: " Research Article Approximating Common Fixed Points of Lipschitzian Semigroup in Smooth Banach Spaces" pdf
... that the sequence {xn } converges strongly to some z in F S , the set of common fixed points of S, which is the unique solution of the variational inequality f − I z, J y − z ≤ 0, ∀y ∈ F S 1.8 It ... Let X be a subspace of ls f t ∞ ∗ l S containing and let X be its topological dual An element μ of X ∗ is said to be a mean on X if μ μ 1 We often write μt f t instead of μ f for μ ∈ X ∗ and ... points of S, and T st Fixed Point Theory and Applications by Ca the set of almost periodic elements in C, that is, all x ∈ C such that {T s x : s ∈ S} is relatively compact in the norm topology of...
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Báo cáo hóa học: " Research Article Convergence Theorems for Common Fixed Points of Nonself Asymptotically Quasi-Non-Expansive Mappings" pptx
... F T1 ∩ F T2 ∩ F T3 / ∅ and one of T1 , T2 , and T3 is demicompact, then {xn } converges strongly to a common fixed point of T1 , T2 , and T3 Proof Without loss of generality, we may assume that ... we have p ∈ F, that is, p is T2 xn a common fixed point of T1 , T2 , and T3 This completes the proof Corollary 3.4 Let K be a nonempty closed convex subset of a real uniformly convex Banach space ... “Approximating fixed points of nonexpansive mappings,” Proceedings of the American Mathematical Society, vol 44, no 2, pp 375–380, 1974 15 J Schu, “Iterative construction of fixed points of strictly pseudocontractive...
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Báo cáo hóa học: " Research Article Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces" ppt
... the common fixed point of S and T This completes the proof of the theorem Acknowledgment The work was partially supported by the Emphases Natural Science Foundation of Guangdong Institution of ... Ishikawa sequence {xn } converges to the common fixed point of S and T Proof First, we show that the sequence {xn } is bounded For a common fixed point p of S and T , we have Tx − p T x − Sp ≤a ... convex subset of X, S : K→K and T : K→K are a pair of mean nonexpansive mappings, and c / Then, i S and T have a common fixed point u; ii further, if b / 0, then a u is the unique common fixed point...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for Common Fixed Points of Multistep Iterations with Errors in Banach Spaces" pdf
... αn m strongly to a common fixed point of the mappings {Ti }i i i i Proof From Lemma 3.3, it follows that m−1 lim Tik xn n→∞ − xn m−2 lim Tik xn n→∞ − xn , 3.39 10 Journal of Inequalities and ... then limn → ∞ xn − yn a, Proof The proof is clear by Lemma 2.3 Lemma 3.2 Let X be a uniformly convex Banach space, let C be a nonempty closed bounded convex subset of X, and let Ti : C → C be ... that αn βn γn for each i ∈ {1, 2, , m} The purpose of this paper is to establish a strong convergence theorem for common fixed points of the multistep iterative scheme with errors for asymptotically...
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Báo cáo hóa học: " Research Article Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces" doc
... the common fixed point of S and T This completes the proof of the theorem Acknowledgment The work was partially supported by the Emphases Natural Science Foundation of Guangdong Institution of ... Ishikawa sequence {xn } converges to the common fixed point of S and T Proof First, we show that the sequence {xn } is bounded For a common fixed point p of S and T , we have Tx − p T x − Sp ≤a ... convex subset of X, S : K→K and T : K→K are a pair of mean nonexpansive mappings, and c / Then, i S and T have a common fixed point u; ii further, if b / 0, then a u is the unique common fixed point...
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