low scores depend on the number of tests administered

Ngày tải lên: 05/08/2014, 15:20

... progressions with the difference ρ Precisely ϕr of them have length n/ρ and ϕ − ϕr are of length n/ρ Since these progressions are pairwise disjoint, there are at least (ϕ + ϕr )2 n/ρ the electronic ... comments Due to their suggestions we were able to prove the main result of the note in its present sharp form the electronic journal of combinatorics (2000), #R30 References [1] N Alon, Independent ... 68 (1998), 151–160 [6] P J Cameron, P Erd˝s, On the number of sets of integers with various o properties, in R A Mollin (ed.), Number Theory: Proc First Conf Can Number Th Ass., Banff, 1988, de...

Ngày tải lên: 07/08/2014, 06:20

... descendants, and the claim in the proposition follows On the other hand, let j be the number of comparisons made between the j th element and other elements, during the partition where the j th element ... LBSTs, then the proposition applies for the variant of quickselect that uses the median of a random sample of three elements as the pivot in each partitioning phase The study of the number of descendants ... define the number of descendants Dn,j as the size of the subtree rooted at the j th node, so we count the j th node as a descendant of itself The number of ascendants An,j is the number of internal...

Ngày tải lên: 07/08/2014, 06:22

... both cases the bounds are “close” to the expected number of in the random graph Gn,d The results here are strongly related to the result of Alon, R¨dl and Ruci´ ski [2] o n They considered bipartite ... First of all, part (b) of Theorem improves Corollary 2.9 of Thomason [9] which estimates the number of Hamilton cycles in a pseudo-random graph Secondly, if G is dn-regular and the second eigenvalue ... the electronic journal of combinatorics (2000), #R57 Hamilton Cycles A Hamilton cycle is the union of two perfect matchings and so h(G) ≤ m(G)2 and the upper bound in part (b) of Theorem follows...

Ngày tải lên: 07/08/2014, 06:22

... mn/4 They conjectured (the case k = of Conjecture in [3]) that b(m, n) ≤ 2mn/3 In this paper we prove this conjecture, and together with a well-known construction obtain that it is sharp Furthermore, ... M2 Denote by M3 the block consisting of the rows i = |A+ | + 1, , m and the columns j = 1, , ρn Denote by M4 the block consisting of the rows i = |A+ | + 1, , m and the columns j = 2ρn+ ... Denote by M5 the block consisting of the rows i = 1, , |A+ | and the columns j = 2ρn + 1, , n Define β = |A+ |/m Figure visualizes these terms Let c(s, k) denote the number of entries of M equal...

Ngày tải lên: 07/08/2014, 06:23

... 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 ... The function m → κm 4.3 Statement and proof of the main theorem The situation is the following: we look for the asymptotics of the coefficients pn (m) of the formal series Pm = Cm Rm where the coefficients ... dn The conclusion follows now from the dominated convergence theorem the electronic journal of combinatorics (2002), #R3 Figure shows the first thousand values of the function m → πm , with m on...

Ngày tải lên: 07/08/2014, 06:23

... in the region F GM, given by aY (F1 , F2 ), times the number of configurations in the region AKJMGDE, times the number of configurations in the region F MLKBC In order to compute the number of configurations ... of FPL configurations in the region ABCLK which respect the matching X Clearly, the region ABCLK to the right of ξ1 does not depend on m We denote the number of FPL configurations of that region ... and the line connecting A and K We state the result of the application of Lemma 3.1 to the current case in form of the following lemma Lemma 6.1 The region of fixed edges of the FPL configurations...

Ngày tải lên: 07/08/2014, 08:22

... is not strong and that no sets A and B satisfy the lemma Let t be the number of strong components of T − v and let Wi be the set of vertices in the ith strong component If |W1 | ≥ 3, then choose ... other arcs are of the form vi → vj with i < j In other words, reversing the arc → v1 gives the transitive tournament of order n As noted by Moon [1], there is a bijection between partitions of ... apply the induction hypothesis using the paths P and Q to obtain a path R satisfying the lemma Next, we repeat the above argument with the portion of R beginning at um−1 and the vertex um Theorem...

Ngày tải lên: 07/08/2014, 13:21

... answers a conjecture of J Benton, R Snow, and N Wallach in [1] the electronic journal of combinatorics 13 (2006), #N8 Start of the proof Let N = {0, 1, } Define the weight of a matrix N to be the ... y1 of the vector y We will need a subsidiary function Let N(λ; t) be the number of solutions of (i) and (ii) with y1 = t By definition, N(λ) = t≥0 N(λ; t) We need one more definition to state the ... we have the following lemma Lemma Let a in Nn+1 satisfy |a| = m Then the number of x in Nm such that a(x) = a is m a Let λ = (λ1 , , λn ) = λ(x) be the column sums of the matrix R constructed...

Ngày tải lên: 07/08/2014, 13:21

... This implies that the number of the number of k-tuples of k mutually orthogonal vectors in E is also |E|k −(k) (1 + o(1)) q , k! completing the proof of Theorem 1.2 Acknowledgments The research is ... correspond to the equivalence classes of the set of all non-zero vectors x = (x1 , , xd ) over q , where two vectors are equivalent if one is a multiple of the other by an element of the field ... induced copies of H Alon extended this result to (n, d, λ)-graphs He proved that every large subset of the set of vertices of an (n, d, λ)-graph contains the “correct” number of copies of any fixed...

Ngày tải lên: 07/08/2014, 15:22

... is the intersection of {E1 , E2 , .,Ek+1 } and the points of one of the e-graphs, and point Ek+1 is the intersection of {E1 , E2 , , Ek+1 } and the points of the other of the e-graphs Theorem ... EF the outermost edges of it Also, call the set of crossed edges of the e-graph the set of parallel edges of the e-graph and call the set of edges of the e-graph that are uncrossed the set of ... offspring of C by definition Proposition The genus of the reduced form T3 of a u-c-tree T is one if and only if the genus of T is one Proof Let T2 be the pre-reduced form of u-c-tree T Then T2...

Ngày tải lên: 07/08/2014, 15:23

... 3n−6 edges of the triangulation and the edges of the outer triangle must be bidirected because of the rule of vertices Theorem says, that the edge orientations together with the colors of the special ... The crossover boxes defined in [8] the electronic journal of combinatorics 15 (2008), #R77 32 connection edges of Hk We call a configuration of the connection edges of Hk valid if exactly one of ... from the source to the sink of ∆ We say that ∆ is a + triangle of B if looking along the direct source-sink edge the triangle is on the left Otherwise, if the triangle is on the right of the edge...

Ngày tải lên: 07/08/2014, 21:20

... side of (4.10) Divide this number of choices by the number of permutations of {1, , rn} to deduce the lemma Using the methods in the proof of Theorem 4.4 we get the Corollary 4.6 p log E2 ... r Theorem 2.2 yields that the validity of the conjecture (6.2) for r = See [4] for the asymptotic version of the conjectured inequality (6.2) 7.1 Computational results The Lower Matching Conjecture ... and only if G is either a union of copies of C , or a union of copies of C4 and a copy of Ci for i = 5, 6, 7, respectively Equalities in (2.16-2.18) hold if and only if G is either a union of...

Ngày tải lên: 07/08/2014, 21:20

... An interesting paper of Wagner [5] looks at the number of independent sets modulo m Wagner showed that the proportion of trees on n vertices with the number of independent sets divisible ... that the Fibonacci numbers (of the paths) form a complete system of residues if and only if m = t · 5k , t = 1, 2, 4, 6, 7, 14, 3j where k 0, j The number of matchings in a tree In this section, ... note a recursion between the Fibonacci number of a rooted tree and its subtrees Suppose r1 , r2 , · · · , rj are the neighbours of r, let (Tk , rk ) be the subtree of T rooted at rk Then we have...

Ngày tải lên: 08/08/2014, 11:20

... quantitative aspect of non-unique factorizations: the Narkiewicz constants, International Journal of Number Theory, to appear [13] W.D Gao and J.T Peng, On the number of zero-sum subsequences of restricted ... sequences which attain the lower bound for some groups Notation and lower bound Our notation and terminology are consistent with [10] We briefly gather some notions and fix the notation concerning sequences ... shall prove the theorem by induction on m = |S| The case of m ≤ D(G) − is clear We now consider the case of m ≥ D(G) Choose a subsequence T |S of minimum length with σ(T ) = g, and a nonempty zero-sum...

Ngày tải lên: 08/08/2014, 14:23

... of different energies on the number of monitor units applied Influence of different energies on the number of monitor units applied Mean of the number of monitor units of all fields against the ... Influence of different dose rates on the number of monitor units applied Influence of different dose rates on the number of monitor units applied Mean of the number of monitor units of all fields ... velocities on the number of monitor units applied Influence Influence of different maximum leaf velocities on the number of monitor units applied Mean of the number of monitor units of all fields...

Ngày tải lên: 09/08/2014, 09:22

... discussion of the modeling issues is deferred here ently of one another In addition, the model depends crucially on the concept that the cessation of proliferation and entry into meiotic arrest is controlled ... NTJ: The elements of stochastic processes with applications to the natural sciences John Wiley & Sons, New York; 1964 Yule GU: A mathematical theory of evolution, based on the conclusions of Dr ... from the analysis The solid line represents the expected number of oocytes at each age in the postembryonic stages based on the model given these data The shaded area is the pointwise 80% confidence...

Ngày tải lên: 13/08/2014, 23:20

... Proof In each partition of natural number n, for the number of summands 1, there exist n + cases: 0, 1, , n By definition of P1 (i; n), the proof is completed ✷ Example 3.1 Find the number of ... be the number of partitions of a natural number n such that in every partition we have i summands 1, exactly Now P1 (i; n) = P1 (0; n − i), i = 0, 1, , n 1641 On the number of partitions of ... cannot partition the remaining n elements unconditionally, n because when the set is partitioned in two subsets with n2 elements, 12 [ n2 ] 1637 On the number of partitions of sets partitions are counted...

Ngày tải lên: 21/12/2016, 10:54

... ]1[ )81140K6OP5 oN( hcraeseR cifitneicS rof eettimmoC hsiloP eht yb detnarg tcejorp fo trap a demrof etapida nasotihc eht gnizisehtnys rof ssecorp ehT slavretni h 42 ta semit ruof ro ecno rehtie ... lahtnewoL 5431-9331 ,331 ,4891 lonummI J nikuelretni rof srotpecer fo noisserpxe eht rof deriuqer si nikuelretni :rotpecer negitna eht rof cificeps ydobitna lanolconom a yb decudni enil llec T ... ni segnahc tnacifingis on erew ereht ,dnah rehto eht nO sllec edon hpmyl ciretnesem 8DC dna +4DC T fo egatnecrep eht desaercni sesod + etapida nasotihc ruof ot erusopxE sedon hpmyl ciretnesem eht...

Ngày tải lên: 07/08/2014, 18:21

... plasma drug concentration intercept of the regression line of the absorption phase, Ka is the absorption rate constant, β is the overall elimination rate constant, t is time and e is the natural ... treatment during the absorption phase The findings of the present study in goats therefore ruled out the possibility of vasodilatation of enteric vessels [2] during absorption The findings of the present ... Based on the MIC data, only a marginal reduction in the dose (6-15%) was possible following trikatu administration Nonetheless, trikatu administration enhanced the duration of antimicrobial action...

Ngày tải lên: 07/08/2014, 20:23