the sum of two cubes in two different ways
Báo cáo toán học: "A Combinatorial Proof of the Sum of q-Cubes" pptx
... number of boxes in the first row is equal to the size of the first part, the number of boxes in the second row is equal to the size of the second part, etc. For example, the Ferrers diagram for the ... that the set S consists of pairs of partitions with no primed parts. In the definition of φ−1when there is a primed integer in the image, we consider only the value of the integer and ignore the ... maintains some of the combinatorial properties of the classical formula, one might hope for a simpler formula. For this reason it may be of interest to investigate other q-analogues of the sum...
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Health Problems and Disability of Elderly Individuals in Two Population Groups from Same Geographical Location docx
... Although in bi-variate analysis no gender difference was detected in disability, yet in logistic regression analysis aftereliminating the influence of other factors, risk of disability increased in ... Moreover, the tea garden population is characterized by very high level of illiteracy and also lagging behind rest of population of the state in other aspects of socio-economicdevelopment. The lower ... wasconducted in two different groups of elderly population(60 year and above) in Dibrugarh District of Assam, Indiaduring the study period from 2002 to 2003. The studycomprised of 523 geriatric...
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separation of isotopes of biogenic elements in two-phase systems
... size of packingparticles (increase of a), and all other factors being the same, the HTU dependence on the loading becomes less distinct and the line segment, intercepted on the y-axis by the ... [29]:(1.93)On the assumption that the degree of approximation to the steady stateϕis uniform in all TP at any instant of time, the authors of reference [29] obtained the equation relatingtime τand the ... increase in load, the flooding bed state passes into inverted movement of the liquid phase which is entrained by the flowing gas (vapor), i.e. the countercurrent flow is upset. The load (linear...
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Báo cáo hóa học: " On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces" pptx
... U→Caconden-sing mapping. Then, either F has a fixed point in Uor there is a point u Î ∂U and l Î(0,1) with u = lF(u);hereUand ∂UdenotetheclosureofUinCandtheboundaryofU in C, respectively.Lemma ... wellas the class of contraction mappings. Recently, Vijayaraju [21] proved by usin g the same method some results concerning the existence of fixed point s for a sum of non-expansive and continuous ... Arunchai and Plubtieng: On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces. Journal of Inequalities and Applications2011...
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Báo cáo toán học: "COMPOSITION SUM IDENTITIES RELATED TO THE DISTRIBUTION OF COORDINATE VALUES IN A DISCRETE SIMPLEX" pptx
... (3.2) The above identity has an interesting interpretation in the context of labelled counting,e.g. the enumeration of labelled graphs. In our discussion we will adopt the terminologyintroduced in ... form a partition of {1, 2, ,n} into l disjoint groups. The goal of labelled counting is to establish a relation between the cardinality of the sets of hands and the cardinality of the decks.For ... in the introduction. the electronic journal of combinatorics 7 (2000), #R20 6Let dkdenote the cardinality of Dkand setd(z)=kdkzkk!Similarly let hnldenote the cardinality of the...
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Báo cáo khoa học:On the q-analogue of the sum of cubes ppsx
... 20042000 Mathematics Subject Classification: 05A19AbstractAsimpleq-analogue of the sum of cubes is given. This answers a question posed in this journal by Garrett and Hummel. The sum of cubes and ... On the q-analogue of the sum of cubes S. Ole Warnaar∗Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, Australiawarnaar@ms.unimelb.edu.auSubmitted: ... qk)is a q-binomial coefficient. In their paper Garrett and Hummel commiserate the fact that (1) is not as simple asone might have hoped, and ask for a simpler sum of q -cubes. In response to...
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Báo cáo toán học: "The sum of degrees in cliques" doc
... grateful to Prof. D. Todorov for pointing outa fallacy in an earlier version of the proof of Theorem 2 and to the referee for his valuablesuggestions.Added on July 1st, 2005. The results of this ... electronic journal of combinatorics 12 (2005), #N21 6For every r ≥ 2 and every graph G, let ∆r(G) be the maximum of the sum of degrees of the vertices of an r-clique, as in the abstract. If G has ... r-clique of Gand let ∆r(n, m) be the minimum of ∆r(G) taken over all graphs of order n andsize m.Writetr(n)forthesizeofther-chromatic Tur´an graph of order n.Improving earlier results of...
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Báo cáo khoa học: " Surgical correction of pectus excavatum in two cats" docx
... been described in cats and dogs: external splinting [1,4,5], internal splinting [6,7] and longitudinal sternebral pining combined with external splinting [1]. In the external splinting type, moldable ... sternum in cats [6,7]. This technique requires the exposure of the site of sternal deviation and placement of the plate after correction of the deformity [6,7]. In the longitudinal sternebral pinning ... splinting type, moldable splinting material is used to contour a U-shaped or V-shaped splint [1,4,5]. In the internal splinting type, veterinary cuttable plate or aluminum splint rod is used to realign...
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The Volatility of Capital Flows in South Africa: Some Empirical Observations
... buying inflows to reduce the NOFP. Nonetheless, in certain cases involving large one-off inflows of FDI, the SARB may have sufficient prior information to make an assessment as to whether the ... offering improved rates of return. This could be done either by forcing a step exchange rate depreciation (and thereby generating the expectation of a strengthening of the rand) or by raising ... borrowing by the public sector tends to raise spreads, but that the impact diminishes significantly as the maturity of the debt increases.9 The benefit of external borrowing to reduce the NOFP...
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Báo cáo y học: "The Influence of Hyperbaric Oxygen Treatment on the Healing of Experimental Defects Filled with Different Bone Graft Substitutes"
... Ultrastructural findings of extensive degeneration in the periosteum of CPCBB + HBOT group at one week time point. It is clear that the the integrity of the cell membrane could not be maintained and there ... among the crucial factors that determine the interaction of the bone grafts with the recipient tissue. During the healing process, precursor cells and different signaling mol-ecules mainly ... the inconsistency of animal models and HBOT pro-cedures, our findings showed a similar pattern in the healing of control defects in rats given HBOT. In light microscopy, we observed an increase...
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A study on the techniques for the improvement to the teaching of oral skills in light of communicative english language teaching for junior high school teachers in quang ngai province part 1
... ADAPTING THE DIALOGUE TO THEIR LIVES.(Using prompts)Explain to the students that they are going to do the dialogue again in pairs, using their own information. This time the teacher is going ... with the next finger.Squeeze the two fingers together to show the contraction (e.g. “I’ve“).[b] missing worde.g. “I’ve got a bike.”Point to the finger which represents the missing word in the ... year16 The teachers feel that they have a good The teachers would like to find out more knowledge of the following topics and about the following topics for their use them regularly in their...
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A study on the techniques for the improvement to the teaching of oral skills in light of communicative english language teaching for junior high school teachers in quang ngai province part 3
... List of abbreviations v Part 1: Introduction 1. Rationale of the study 12. Aims of the study 23. Methods of the study 24. Scope of the study 25. Design of the study 2Part 2: Development ... 1.3.1. Definition 5 1.3.2. Principles 5 1.3.3. Techniques for language teaching 61.4. Summary 6Chapter 2: An Investigation into the Current Performance of English Teaching and Learning in Junior ... 39Appendix 41iii2.6.2. Findings and discussion 9 2.6.2.1. Teachers’ Personal Information 9• Age of teachers 9• Teaching experience and training 9• Qualifications 10 2.6.2.2. Information about...
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