Báo cáo toán học: "Bounding the number of edges in permutation graphs" pdf
Báo cáo toán học: " ON THE NUMBER OF DESCENDANTS AND ASCENDANTS IN RANDOM SEARCH TREES" ppsx
... 1998.Abstract. The number of descendants of a node in a binary search tree (BST) is the size of the subtree having this node as a root; the number of ascendants is the number of nodes on the pathconnecting ... descendant of itself. The number of ascendants An,jis the number of internal nodes in the path from the root of the tree to the jthnode, both included. It is worthmentioning the following symmetry ... OF COMBINATORICS 5 (1998), #R20 83. The number of descendants in random BSTs The number of the descendants Dn,j of the jthnode of a BST of size n is recursively computedas the number of descendants...
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Báo cáo toán học: "On the number of perfect matchings and Hamilton cycles in -regular non-bipartite graphs" ppsx
... contain three edges — (x, x), (y, y)and(z, z) — from a single cycle Ci of F , the remaining edges coming from F−. The labeling of vertices in C can be madecanonical in the following ... (d +2)νn!ν!2νcompleting the proof of part (a) of Theorem 1. the electronic journal of combinatorics 7 (2000), #R57 5Part 2 of the lemma follows from the chain of inequalities1φ(k)≤1γ(k0)≤(β ... segment containing x, the segment containing x, and the remaining segment.Going round the cycle Ci, starting at xand ending at x, the vertices x, x,y,y,z,zmay appear in one of eight...
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Báo cáo toán học: "On the number of permutations admitting an m-th root" pptx
... is not the case. We approximate the cn(m) by the coefficients dn(m) of the expan-sion in power series of the principal part Dm of Cm in a neighbourhood of its dominantsingularity 1. The sequencesdn−k(m)/dn(m)nare ... is the exponential generating function (EGF, formal series) of the m-thpowersinthegroupsn. This means that the number of m-thpowersinnispn(m)×n!foreachn.Inthesameway,Cmis the EGF of the ... algebra, the radical of an ideal I is the set of all elements of the ring some positive power of which belongs to I; in the present situation, q(m)is the positive generator of the radical of the ideal...
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Báo cáo toán học: "n the number of distributive lattices" ppsx
... 9]. The numbers dkand wkare then obtainedby Corollaries 2 and 7, the results are shown in Table 1 and Figure 3. Seeking a good fit,one may approximate these values in the following form: the ... sum” (p + q, ) is the canonical representative for the ordinal sum P ⊕Q. More involved is the proof of the following property of the “canonical2-sum” P +2Q := (p + q, 2).Theorem 6 If P =(p, ... because every nonempty antichain of P +2Qdifferent from {q −1,q} is either contained in Q or in P+q, while the empty antichain iscontained in both.An ordinally indecomposable canonical poset...
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Báo cáo toán học: " ON THE NUMBER OF FULLY PACKED LOOP CONFIGURATIONS WITH A FIXED" pot
... 3.2. The region of fixed edges of the FPL configurations corresponding to the matching in Conjecture 1.1 contains all the edges indicated in Figure 3.3, that is:(1) all the horizontal edges in the ... E2encodes the set of vertical edges crossing the segment ξ2, F1 the set of edges crossing the segment η1and finally F2 the set of edges crossing the segment η2. WedenotebyaX(E1, E2)thenumberofFPLconfigurations ... decomposes into the product of the number of possible configurations in the pentagonal region times the number of possibleconfigurations in the triangular region in the upper-right corner of the square...
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Báo cáo toán học: "Maximising the permanent of (0,1)-matrices and the number of extensions of Latin rectangles" docx
... the number of perfect matchings in G(R). Finding a maximising k ×n Latin rectangle is equivalent to maximising the number of perfect matchings in an (n − k)-regular subgraph of Kn,n. The other ... completes the proof of the ‘small’ cases. The entire calculation was checkedindependently by numerical integration. Combined with the results of the preceding sec-tion, we get the main result.Theorem ... subpath of the other. The root of T(R, v)isthevertex corresponding to the empty path. Let ηv,rbe the number of closed walks of lengthr in T(R, v)startingatvand definewr(R)=12vηv,2r.The...
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báo cáo sinh học:" Doubling the number of health graduates in Zambia: estimating feasibility and costs" pdf
... management of training institutions.Outside of the MoH, the Cabinet Office and the Minis-try of Finance control the annual budget for all minis-tries. The Ministry of Education and the Ministry of Science, ... expanding teaching, studying, office, and dining space. The national number of teaching staff must increase by 363 (111% increase) over the next five years. The additional recurringcosts, which include ... training in Zambia, it was determinedthat training institution capacity at the publically oper-ated schools could roughly double in the next five years.By visiting each of the individual training...
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Báo cáo toán học: " On the boundedness of the solutions in nonlinear discrete Volterra difference equations" pot
... on Rd. In recent years, there has been an increasing interest in the study of the asymptotic behavior of the solutions of both convolution and non-convolution-type linear and nonlinear Volterra ... aim in this section is to obtain sufficient condition for the boundedness of the solution of (1.1) under the initial condition (1.2), but in the linear case of Volterra difference equation. The ... is non-trivial. The main result on the boundedness of solutions of a linear Volterra difference system in [2] was improvedby Gy˝ori and Horv´ath [8]. In terms of the kernel of a linear system Gy˝ori...
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Báo cáo toán học: " Review article: Use of ultrasound in the developing world" potx
... during multiple natural disasters in the past 2 decades, including the earthquake in Armenia in 1988 [35], Wenchuan, China, in 2008 [36], and Haiti in 2010 [37], and the tsunami in Indonesia in ... loss remains an important complication of trauma in the resource-limited settings. Injuries are among the top ten leading causes of death and disability in the developing world, and rates of death ... Ultrasound findings prompted a change in the clinical decision-making in 17% of cases. At the 1-year follow-up, ultrasound use continued, with an average number of ten ultrasound examinations...
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Báo cáo hóa học: " REDUCING THE NUMBER OF FIXED POINTS OF SOME HOMEOMORPHISMS ON NONPRIME 3-MANIFOLDS" ppt
... accom-panying sequence of x in the components of the intersection of sliding sets. Clearly, the set{B1,B2, ,Bk} itself is just the set of all components of the intersection of sliding setscontaining ... this proposition, the number |αi∩ Sj| determines in some sense the number of fixed points. In order to reduce the number of fixed points of such homeomorphisms, the intersection numbers (|αi∩ ... arbitrarycomponent of T(Si,αi) ∩ T(Sj,αj). Thus, in some sense, reducing the number of fixedpoints is equivalent to reducing the number of intersection points between the slidingpaths and sliding spheres....
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