note on the gonality of abstract modular curves
Báo cáo khoa học: "A Note on the Translation of Swahili into English" pot
... be considered as giving rise to another single suffix, namely, the concatenation (eni) of the two individual suffixes We may then write the translation program as if, without exception, only one ... in the stem dictionary for a source-language word, the last letter is elided, and a match sought for the truncated word This elision and comparison is continued until the first few letters of the ... two-letter ones are recognized first, in an attempt to prevent spurious recognitions If the first two letters are the same as an entry in the prefix dictionary, a note is made of the 76 prefix, these...
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Báo cáo khoa học: "A Note on the Implementation of Hierarchical Dirichlet Processes" docx
... integrating out the distribution G Note that as long as the base distribution P0 is fixed, predictions not depend on the seating arrangement z−i , only on the count of word w w in the previously ... tables Of particular note for our discussion is that in order to calculate these conditional distributions we must know the table assignments z−i for each of the words in w−i Moreover, in the Gibbs ... derivation Due to a misinterpretation of Antoniak (1974), GGJ06 use an approximation that leaves out all the P1 (w) terms from (4).1 Figure compares the approximation to the exact expectation when the...
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Báo cáo toán học: "A note on the number of (k, )-sum-free sets" potx
... 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 ... completes the proof of Theorem 2 Corollary The estimate (5) holds, provided k > ≥ and max 1+ln (k − ), 2(1 + ln +1 +1 ) < ln ρ (9) the electronic journal of combinatorics (2000), #R30 Proof We need...
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Báo cáo toán học: "A note on the ranks of set-inclusion matrices" pps
... apply, with the same conclusion and proof as the above corollary In conclusion, we raise the question as to whether there is a q-analogue of formula (1), (q) i.e., for the (0,1)-inclusion matrix ... t) = in the hypothesis of our theorem precludes a new proof of Wilson’s theorem via our recursive formula In the special case when the characteristic p of F is larger than k, our recursion does ... completes the proof of (1) Corollary Over the rational field Q, rQ (Wt,k (v)) = ( v ), provided k + t ≤ v t Proof This is very easy using (1): note that the condition ”k + t ≤ v” is inherited by the...
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Báo cáo toán học: "A note on the number of edges guaranteeing a C4 in Eulerian bipartite digraph" pot
... 1, , ρn Denote by M4 the block consisting of the rows i = |A+ | + 1, , m and the columns j = 2ρn+ 1, , n Denote by M5 the block consisting of the rows i = 1, , |A+ | and the columns ... 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, ... visualizes these terms Let c(s, k) denote the number of entries of M equal to k in the block Ms for s = 1, 2, 3, 4, and k = −1, 0, For normalization purposes, define f (s, k) = c(s, k)/mn Consider the...
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Báo cáo toán học: "A Note on the Number of Hamiltonian Paths in Strong Tournaments" ppsx
... 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 ... 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 ... 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...
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Báo cáo toán học: " A note on the speed of hereditary graph properties" ppsx
... vertices, which is the main result of the paper The organization of the paper is as follows In the rest of this section we introduce basic notations In Section 2, we verify the conjecture for all ... partitioned into at most c subsets so that each of the subsets is either a clique or an independent set, and between any two of them there are either all possible edges or none of them The factorial ... 0, and the index of the class of all graphs equals infinity With this extension, the family of all hereditary classes is partitioned into countable number of subsets each of which consists of classes...
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A Note on the Weighted Average Cost of Capital WACC pdf
... is the cost of debt, T is the tax rate, D%t-1 is the proportion of debt on the total market value for the firm, at t-1 and E%t-1 is the proportion of equity on the total market value for the ... structure of the firm is the combination of debt and equity in it That is, VL the value of the levered firm is equal to VUL the value of the unlevered firm VL = VUL (3) And in turn, the value of the ... participation in the total value of the firm for each period and calculating the contribution of each to the WACC after taxes As a first step, we will not add up these components to find the value of...
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NOTES ON THE BANK OF ENGLAND UK YIELD CURVES pdf
... compensation for the erosion of the purchasing power of this investment by inflation The Bank uses this decomposition (commonly known as the Fisher relationship) and the real and nominal yield curves ... contrast the yield to maturity on a coupon bond is the single rate of interest which, when used to discount all future coupon payments and the redemption payment, gives the current price of the ... futures contract that settles on the three-month BBA LIBOR rate prevailing on the contract’s delivery date Contracts are standardised and traded between members of the London International Financial...
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Báo cáo toán học: " A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law" pptx
... removed the condition nP(|X1 | > ηn ) ≤ c(log n)ε0 , < ε0 < in theorem 1.1 of [12] Remark 1.4 If EX < ∞, then X is in the domain of attraction of the normal law Therefore, the class of random ... A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law Qunying Wu1,2 College of Science, Guilin University of ... sums of random variables in the domain of attraction of the normal law, we will show that the ASCLT holds under a fairly general growth condition on dk = k−1 exp(ln k)α ), ≤ α < 1/2 Our theorem...
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Báo cáo hóa học: " A note on the complete convergence for sequences of pairwise NQD random variables" potx
... for the strong stability of Jamison’s weighted sums But most of their results were achieved under the identically distributed condition and some results were obtained even under the condition of ... When these are compared with the corresponding results of independent random variable sequences, there still remains much to be desired The concept of complete convergence of a sequence of random ... variables converges completely to the expected value if the variance of the summands is finite Erdös [9] proved the converse The result of Hsu-Robbins-Erdös is a fundamental theorem in probability theory...
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Báo cáo hóa học: " A note on the complete convergence for arrays of dependent random variables" docx
... P(|Xni | > δ) an n∈A i=1 The last inequality follows by J ≥ and the definition of A’ Hence, condition (ii) of Theorem 2.4 holds Finally, it remains to show that condition (i) of Theorem 2.4 holds That ... i=1 The rest of the proof is same as that of Theorem 1.6 except using Theorem 2.6 instead of Theorem 2.4 and is omitted ■ Acknowledgments The author would like to thank the referees for the helpful ... i=1 Hence, the result follows by conditions (i) and (ii) ■ Remark 2.7 As noted in the Introduction, Chen et al [9] have proved Theorem 2.6 under an additional condition (see also Theorem 1.5)...
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Báo cáo hóa học: " A note on the Königs domain of compact composition operators on the Bloch space" doc
... satisfies the hypotheses of the Theorem and that any of the equivalent conditions holds, then for r = |z| log |σ (z)| = o log log 1−r We also provide the following restatement of the hypotheses of Theorem ... we call the Kœnigs function and denote by s from here on In the study of the geometric properties of in relation to the operator theoretic properties of C , it has become evident that the Kœnigs ... and so in the above theorem, the first condition could read: C is compact on B, B0, BMOA and VMOA Before proceeding, we prove the following lemma Lemma Under the hypotheses of the theorem, w...
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báo cáo hóa học:" Research Article Note on the Persistent Property of a Discrete Lotka-Volterra Competitive System with Delays and Feedback Controls" pptx
... Ahmad, On the nonautonomous Volterra-Lotka competition equations,” Proceedings of the American Mathematical Society, vol 117, no 1, pp 199–204, 1993 S Ahmad and A C Lazer, On the nonautonomous ... system They obtained the necessary or sufficient conditions for the permanence and the extinction For more works relevant to system 1.1 , one could refer to 1–9 and the references cited therein ... permanence conditions of for system 1.4 Theorem 1.2 will be proved in Section In Section 3, an example will be given to illustrate that 1.10 does not imply 1.9 ; that is, the condition 1.10 is...
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Báo cáo sinh học: "Research Article A Note on Symmetric Properties of the Twisted q-Bernoulli Polynomials and the Twisted Generalized q-Bernoulli Polynomials" docx
... Equations Acknowledgments The authors express Their sincere gratitude to referees for their valuable suggestions and comments This work has been conducted by the Research Grant of Kwangwoon University ... Kurt, “Further remarks on multiple p-adic q-L-function of two variables,” Advanced Studies in Contemporary Mathematics, vol 14, no 1, pp 49–68, 2007 L.-C Jang, On a q-analogue of the p-adic ... pages, 2006 L.-C Jang and T Kim, On the distribution of the q-Euler polynomials and the q-Genocchi polynomials of higher order,” Journal of Inequalities and Applications, vol 2008, Article ID 723615,...
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Báo cáo hóa học: " Research Article A Note on the Relaxation-Time Limit of the Isothermal Euler Equations" pdf
... equation as the limit of the isentropic Euler equations in one space dimension Recently, Coulombel and Goudon [1] constructed the uniform smooth solutions to (1.1) in the multidimensional case ... of fractional order (H σ+ε (Rd ), σ = + d/2, ε > 0) with the aid of Littlewood-Paley decomposition theory If fixed τ > 0, there are some efforts on the global existence of smooth solutions to the ... Fang Together with the inequalities (4.8) and (4.21), (4.2) follows immediately, which completes the proof of Proposition 4.1 Proof of Theorem 1.1 In fact, Proposition 3.1 also holds on the framework...
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Báo cáo toán học: "A Note on the Symmetric Powers of the Standard Representation of Sn" ppt
... of these fλ (q)’s We have: Proposition 1.2 dim Fn = D(n) Proof Consider the table of the characters χN ; we are interested in the dimension of the row-span of this table Since the dimension of ... function for the entries of the column corresponding to the λ-cycles The dimension of the column-span of our table is therefore equal to dim Fn , and the proposition is proved the electronic journal ... precisely the P n−j n partitions of n which contain n copies of j Let Sj be the collection j j of fλ ’s corresponding to these P n − j n j partitions One sees immediately that the dimension of the...
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Báo cáo toán học: "A note on the non-colorability threshold of a random graph" pot
... When conditioning on the event CP0 , the random graphs of the resulting probability space may contain edges only from within the edges that connect vertices of different partitions of P0 The number ... information on Maple) implementation of the downhill simplex function optimization method (see [13] for a good description of the method and a C implementation) to the maximize the expression This ... obtained in [2] is the exact computation of the probability involving the conjunction of the events using the occupancy problem for random placements of balls into bins We make use of the sharp estimates...
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