... control (i.e neither blind nor low vision) The cause of impairment was elicited by an openended question: "What is the cause ofthe stated impairment?" The free text was then coded by the interviewer ... to eighteen strata [24] The probability of selecting an institution was inversely proportional to thenumberof institutions in its stratum and proportional to its numberof beds Eight subjects ... size of household, type of household and geographical area size based on the latter survey For the institution survey, weights included size of strata, the institution occupation rate (number of...
... v(G) denote thenumberof vertices, and (G) denote thenumberof edges In this paper, we construct a graph G having no two cycles with the same length which leads to the following result Theorem ... 32t − 17t+1 Then f (n) ≥ n + 32t − 1, for n ≥ nt This completes the proof ofthe theorem From the above theorem, we have f (n) − n 2562 √ ≥ 2+ , n 6911 √ 487 which is better than the previous ... [5] Chunhui Lai, On the size of graphs with all cycle having distinct length, Discrete Math 122(1993) 363-364 [6] Chunhui Lai, The edges in a graph in which no two cycles have the same length, J...
... numberof edges in Γπ,0 equals thenumberof permutations σ that are covered by π inthe strong Bruhat1 order on Sn , and thenumberof edges in Gπ,0 equals the degree ofthe vertex π inthe Hasse2 ... and the proof of Theorem 1.2 Edge bounds in Gπ,s In this section we prove Theorem 1.3, which gives bounds on the maximum numberof edges in Gπ,s with π ∈ Sn Proof of Theorem 1.3 We start with the ... obtain an upper bound on the size of such graphs The last section ofthe paper contains some concluding remarks the electronic journal of combinatorics 13 (2006), #R44 Maximum numberof edges in...
... all these choices to get the numerator ofthe right-hand side of (4.10) Divide this numberof choices by thenumberof permutations of {1, , rn} to deduce the lemma Using the methods inthe ... shows the inequality between the last term ofthe first line and the first term inthe second line of (3.10) For graphs consisting of more than two cycles or paths there is no total ordering by ... denote A := r Ai Let m ∈ min(p, q) Then permm A is thenumber i=1 of m-matchings of G := ∨r Gi , which is equal to thenumberof m-matchings obtained i=1 inthe following way Consider m1 , ...
... inversion of tags This is a generalization ofthe method used in [T] to count thenumberof elements inthe mutation class of quivers of Dynkin type An Here we are strongly using the ideas in ... loops the electronic journal of combinatorics 16 (2009), #R49 ′ ǫ ǫ The crossing number e(Ma,b , Nc,d ) is the minimal numberof intersection of represenǫ ǫ′ tations of Ma,b and Nc,d inthe interior ... Corollary 5.8 Thenumber d(n) of elements inthe mutation class of any quiver of type Dn is equal to thenumberof triangulations ofthe punctured regular n polygon up to rotations and inverting all...
... sum, instead ofthe three-fold sum stated inthe main theorem Finally, at the end of Section we prove the formula for thenumberof quivers inthe mutation class of type Dn , by exhibiting an ... Additionally, we obtain thenumberof quivers inthe mutation class of a quiver of Dynkin type Dn This formula was first determined in [5]: Corollary Thenumberof quivers of type Dn , for n ≥ ... particular, the weight of Q depends only on the orientation ofthe base arrow and on the total numberof vertices and 3-cycles of Q Passing to generating functions, the electronic journal of combinatorics...
... during joining in those games? 5/ According to you, what are the difficulties when joining inthe games? 21 From the interviews, the researcher draws out the following comments: * According to the ... teaching method Therefore, teachers often need to improve themselves by studying materials, learning the colleagues’ experience, joining the training courses of English teaching method, etc Teaching ... and understanding ofthe lesson Those are the main points inthe literature review that the chapter is concerned with to carry out the next steps ofthe study in Chapter Chapter The Study 2.1...
... distribution, business-to-business marketing, and global marketing channels He has publications in Journal of Business-to-Business Marketing, Dr Sungmin Ryu is an associate professor of school of business ... list and receive them within 5-6 business days However, the high return ratio inthe internet shopping channel still causes headaches for internet sellers The advantage ofthe internet channel ... understand the importance of social mechanisms in managing the marketing channel upon the occurrence of declining and growing channels, such as department stores and discount stores 21 Journal of Business...
... structures ofthe SL and TL, which often result in some change inthe information content ofthe message during the process of translation This change may take the form of adding to the target text information ... lên) inthe Internet context means (g i th ) in general or install (cài software installation means (l p t) inthe context of computer t) inthe case of other equipment installation Also, single ... the object ofthe verb inthe active form in an active structure, becomes the subject ofthe verb inthe passive form; while the performer of an action (the agent) – the subject ofthe verb in...
... deposits began to increase once again. In Japan, the ongoing trend toward a declining birthrate and an aging population is making it increasingly difficult to maintain the current public pension system; there ... Massive amount of Deposits the Largest Balance of Deposits inthe World The Bank has the largest amount of deposits inthe world, even in comparison with overseas banks, and is one ofthe world’s largest financial institutions ... We also have a distinctive product, TEIGAkU deposits. With these deposits, funds can be withdrawn at any time after six months from the inception ofthe deposit. The interest rate on TEIGAkU deposits is higher than the rate on ordinary deposits, and the interest rate at the point the deposit is made ...
... (p0), the peptide (0.1–2 lm) was injected into the subphase, and the increment in surface pressure ofthe LPS film upon intercalation ofthe peptide dissolved inthe subphase was monitored for the ... 0.5 indicates synergy; see Experimental procedures] To obtain insights into the mode of action underlying the synergistic activity, we investigated the bactericidal action ofthe combination of ... (Fig 10) The exposure of · 107 cellsÆmL)1 at the corresponding MIC of Esc(1–18) resulted in an irregular rod form with a deep wrinkling ofthe cell surface (within min) However, all of these changes...
... for the future, pioneering the development and provision of relevant training in our Institutes and Centres and working in partnership where possible - Maintain our current investment in training ... increased our work in this field, with thenumberof new trials started rising from seven in 2000 to 49 in 2007, reflecting the gathering pace of scientific discovery and its application inthe ... in training most ofthe medical oncologists practising inthe UK We will build on this to address the current deficit in clinician scientists working at the translational interface and in cancer...
... management of training institutions Outside ofthe MoH, the Cabinet Office and the Ministry of Finance control the annual budget for all ministries The Ministry of Education and the Ministry of Science, ... library, dining, and office space The three largest public multicadre training institutions faced the unique challenge of expanding their infrastructure in space-constrained, urban Lusaka Each of these ... low at most training schools (< 5%), with family issues or pregnancy as the leading cause of dropout In increasing the size of their intakes, training institutions anticipated having to accept...
... subtraction ofthe next eigenvalue in order to integrate the irregular eigenvalue variation A smoother form ofthe second discriminant function can be thus obtained The shapes ofthe two discriminant ... dB Just like inthe case ofthe GDE criterion, the solution N is obtained as the argument which yields the last positive value of this cost function We will present inthe following the proposed ... ratios thenumberof significant eigenvalues equals thenumberof harmonic components, the others taking values close to zero, as it can be seen on Figure 1a When the noise level increases, the N...
... points ofthe pedagogics program inthe university currently by the method of credit training regime - Finalize and develop the theory of designing and using the exercises in teaching including the ... feasibility of procedure of designing and using the exercises in teaching inthe pedagogy universities 2.1.2 Contents of investigation: - Awareness ofthe teachers, students about meanings of using the ... students Doing the pedagogics exercises brings many effects; of which the main effects are: strengthening knowledge ofthe subject, improving learning interest inthe subject, testing, evaluating study...
... Using the linearity of CTw , manipulating the series, using the definition (Carl) ofthe q−binomial coefficients, and simplifying, brings the left side of (Sasha ) to be CTw ... verified that these are true for m = 0, 1, and the general result follows from the second order recurrences produced by qEKHAD The input files inZ0, inZ1, inZ2 as well as the corresponding output ... and r = (n − 1)/2, in which case it is a monomial in q times (1−w)(1+w) , wr+1 and applying CTw kills it all the same, thanks to the symmetry ofthe Chu-Pascal triangle Summing the expression proved...
... k−1 (1) The second ingredient of our proof is the following result of Stiebitz Lemma ([5]) Let G be a k-critical graph containing at least one vertex of degree k − Then thenumberof connected ... 1) 2(k (5) the electronic journal of combinatorics (1998), #R4 as claimed A more detailed treatment ofthe problem, containing lower and upper bounds on the minimal numberof edges in a k-critical ... journal of combinatorics (1998), #R4 Let r be thenumberof connected components of H(G), then trivially |E(H(G))| ≥ nH − r (2) Also, by Lemma 3, thenumberof connected components of L(G) is...