determining the number of elements in a list

... a triangulation If α is a diagonal in a triangulation, then mutation at α is defined as replacing α with another diagonal such that we obtain a new triangulation This can be done in one and only ... rotation and inverting the tag Let Tn be the set of all triangulations of Pn , and let ∆ be an element in Tn We can assign to ∆ a quiver in the following way (see [FST]) Just as in the An case, ... to a certain class of rooted trees A tree in this class is constructed by taking a family of full binary trees T1 , , Ts such that the total number of leaves is n, and then adding a node S and...

Ngày tải lên: 07/08/2014, 21:21

... // Add table mappings da.TableMappings.Add("Table", "Orders"); da.TableMappings.Add("Table1", "Order Details"); // Create the DataSet DataSet ds = new DataSet( ); // Fill the schema and data da.FillSchema(ds, ... Microsoft SQL Server Books Online The GetSchemaTable( ) method of the DataReader also returns all column lengths The method returns a DataTable containing column metadata for a DataReader, where the ... name The code then iterates over the collection of columns in the table and displays the length, precision, and scale for each from the Hashtable Information from the FillSchema( ) method of the...

Ngày tải lên: 24/12/2013, 05:15

... visual impairment rates and indicators of other eye-care activities, such as number of visits/inhabitant, glaucoma diagnosis campaign, etc Inequality of quality of care could also be a factor ... explaining the prevalence rate differences across the regions Unfortunately, such aspects of ophthalmological activity or quality estimates are unavailable in France at a regional level Lastly, the ... Challenge, Social Policy study N° Paris 1997, 20: OECD: Maintaining propriety in an Aging Society Paris 1998 Resnikoff S, Pascolini D, Etya'ale D, Kocur I, Pararajasegaram R, Pokharel G, Mariotti...

Ngày tải lên: 20/06/2014, 15:20

... (2001), #N9 Acknowledgment The author thanks Prof Yair Caro and Raphael Yuster for sending reference [7] The author also thanks Prof Cheng Zhao for his advice References [1] J .A Bondy and U.S.R ... 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 Zhangzhou Teachers ... vertices, and (G) denote the number of edges In this paper, we construct a graph G having no two cycles with the same length which leads to the following result Theorem Let t = 27720r + 169 (r ≥ 1), then...

Ngày tải lên: 07/08/2014, 06:22

... remarkable that ˜ the generating function including variables for the parameters r2 and s2 can be obtained by specialising the much simpler generating function having variables for the parameters ... #R00 (a) (b) (c) Figure 1: The Dynkin diagrams of types An and Dn and the extended Dynkin ˜ diagram of type An−1 , assuming that all diagrams have n vertices The paper is organized as follows In ... generates an equivalence relation The mutation class of a quiver Q is the class of all quivers which are mutation equivalent to Q The mutation class of quivers of type An is the class containing all...

Ngày tải lên: 08/08/2014, 14:23

... Since no directed C4 contains v ∗ as a vertex, we must have that every w ∈ A appears in at least one of A or A+ (it may appear in both; in particular, v ∗ appears in both A and A+ as there are ... no antiparallel edges) Hence, A ∪ A+ = A Thus, at least one of them has cardinality at least m/2 Assume, without loss of generality, that |A+ | ≥ m/2 (otherwise we can reverse the directions of ... even if the graph is very dense, the extreme case being an acyclic orientation of a complete bipartite graph) The most interesting and natural constraint is the requirement that the digraph be...

Ngày tải lên: 07/08/2014, 06:23

... Several parts of the proofs are computer aided, both for searching the strong words (the main concept in the proofs) as well as for checking their compatibilities We have included the Mathematica ... for the search of strong words We refer to Lothaire [6] for elementary definitions in combinatorics on words Let A = {a, b, c} be a ternary alphabet, and B = {0, 1} a binary alphabet For a binary ... 0100011001 Table 1: The first 30 short strong words Using Mathematica (version 7.01.0), one can calculate σ(w) and the ratio σ(w)/|w| using functions Sigma and SigmaRatio defined as Sigma[Str_]:= StringLength[Str]Length[StringPosition[Str,x...

Ngày tải lên: 08/08/2014, 12:23

... Non-unique factorizations, Combinatorial and Analytic Theory, Pure and Applied Mathematics, vol 278, Chapman & Hall/CRC, 2006 [15] A Geroldinger, Additive group theory and non-unique factorizations, ... by the induction hypothesis Now we need the following claim Claim A There is no term which is contained in exactly one Ti , where i ∈ [1, r + 2] Proof of Claim A Assume to the contrary that, there ... subsequences, all of which are pairwise disjoint, implies that |S| is bounded as in the case of Theorem 11 for cyclic groups In general, we have the following theorem Theorem 15 For any finite abelian group...

Ngày tải lên: 08/08/2014, 14:23

... teaching and learning listening skill Qualitative method was used to analyze data obtained from the aforementioned data collection instruments This is a piece of action research and the findings ... accents of native speakers in authentic listening audio are also challenging 42.3% of the participants agree that they are confused sometimes by the unfamiliar accent Besides, proper names appear in ... challenging Importantly, they not only improved their autonomy but also evaluate their language outcomes Among the advantages listening offering them, enhancing team-work skills and approaching...

Ngày tải lên: 28/03/2015, 08:51

... colorectal carcinoma [33] There was also a focal expression of MUC6 in the colonic epithelium in the teratoma (Table 1), a finding we have also made in a study on colorectal carcinoma [34] The tissue ... feature of various cancers including cancer of the colon [33] The amino acid analysis of the purified mucin gave high amounts of ‘mucin-like amino acids, serine, threonine and proline Serine and ... acid analysis of purified mucin from a mature ovarian cyst teratoma Amino acid Aspartic acid (D) Threonine (T) Serine (S) Glutamic acid (E) Proline (P) Glycine (G) Alanine (A) Cysteine (C) Valine...

Ngày tải lên: 26/10/2012, 10:03

... detecting the number of sources and (2) isolating and analyzing the signal produced by each source We make this distinction because many of the algorithms for separating and processing array signals ... than we know there are sources, then we can safely assume that some of the directions are the results of false alarms and may be ignored, thus decreasing the probability of false alarm for the ... test the eigenvalues of a sample correlation matrix to determine how many of the smallest eigenvalues of the correlation matrix are equal The AIC and MDL algorithms both consist of minimizing a...

Ngày tải lên: 16/12/2013, 04:15

... Activity 7.2: Determining the Impact of Technology on a Windows DNA Design Exercise 1: Determining Technology Implications ! Determine technology implications Participate in small groups as assigned ... Determining the Impact of Technology on a Windows DNA Design 51 Write your answers in the table below User Interface User Services Business Services Data Access Data Store Communication Operating ... Tools Data Access Data Storage Security After completing the above steps, you will discuss your responses with the class The instructor will write the class consensus on a flipchart THIS PAGE INTENTIONALLY...

Ngày tải lên: 21/12/2013, 06:16

... neuralgia Herpes zoster Peripheral neuritis Neurovascular pain Vascular pain Episodic pain Paroxysmal neuralgia Glandular, ocular, and auricular pain Pulpaf pain Viscera! pain Visceral mucosal pain ... Cluster headache Paroxysmal unilateral headache Neurovascular variants Arteritis pain Carotidynia joint surface pain Retrodiscal palm Capsule pain Ligament pain Arthritic pmn Myofascial pain Myositis ... pain Physical pain Periodontal pain Connectivetissue pain Mucogingival pain Ostealgia m6 periosteal pain Cutaneous pain jyjpaln Deep pain — Migraine with aura Migraine without aura Cluster headache...

Ngày tải lên: 06/03/2014, 11:20

... good ideas along the way and allowing workers to lapse into passivity “Often the leaders end up doing a lot of the talking,” says Francesca Gino, “and not listening to any of the ideas that the followers ... that he’s dramatically more comfortable in small groups Many of these guys are, actually Not all of them But an awful lot of them.” Indeed, according to a famous study by the in uential management ... much variation in his vocal in ections or facial expressions He was more interested in listening and gathering information than in asserting his opinion or dominating a conversation He was also...

Ngày tải lên: 27/07/2014, 07:49

... friendly fat young man man a 18th century a Scottish fantastic castle 10 a horrible greedy businessman fat friendly young our boring tall headmaster a business horrible greedy 11 a big old brown bear ... bear tall our headmaster boring a long dark wooden table a big old brown bear 12 a self-righteous middle-class student wooden dark a table long a beautiful old Spanish city city a Spanish beautiful ... old maths teacher a perfect new system my teacher old maths smelly a small old black Turkish box new a perfect system a fantastic 18th century Scottish castle black small box Turkish a old a friendly...

Ngày tải lên: 27/07/2014, 17:20

... and I .A Stegun, Eds., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover Publications, New York, 1966 [2] E .A Bender, Central and Local Limit Theorems Applied ... ln19 n) The following extension of Theorem (the case m = 3) giving a complete asymptotic expansion of I(n, x) can be immediately read out of its proof the electronic journal of combinatorics ... ≤ ln n and m is a fixed integer at least 2 Here, H2q are the Hermite polynomials defined before Theorem and the S2q are defined in Theorem In particular, we have a complete asymptotic expansion...

Ngày tải lên: 07/08/2014, 06:20

... substantial probability, has t(k) ∼ (k/2)2 References [1] Alon, N., and Friedgut, E (1999) On the number of permutations avoiding a given pattern J Combinatorial Theory, Ser A, to appear [2] B´na, ... Consider the concatenation τ of τ with τ as a permutation, τ ∈ Sm+n Clearly, τ avoids σ, establishing (2) [In detail, suppose to the contrary that τ contains σ, say at the k-tuple of positions given ... each of τ and τ avoids σ Let τ be the result of adding m to each symbol in the word for τ , so that τ is a word in which each of the symbols m + 1, , m + n appears exactly once Consider the...

Ngày tải lên: 07/08/2014, 06:22

... we are in the case of the second diagram) Since l and t are adjacent, the number of diagram points that lie in region A of the diagram is bounded by s Similarly, the number of points in each of ... corresponding to a point on the right half, because these diagrams make the definition of adjacency particularly easy to visualize: two vertices i and j are adjacent exactly when the axis-parallel rectangle ... contains at most s other diagram points Since each half has size n/2, this gives us the quadratic term For the linear term, we calculate the internal degrees of vertices, i.e the number of neighbors...

Ngày tải lên: 07/08/2014, 13:21

... the expression for φ(G, 4) the number of 4-cycles appeared as the first structure in the graph, apart from n and r, which a ects the number of matchings The maximum possible value of a4 (G) can ... = Assume to the contrary that B2 contains at least two P2 Since G contains at least one cycle C3 we replace P2 ∪ C3 with P5 to obtain another minimal G As G contains P2 and P5 it is not minimal, ... that k ≥ All matchings of Pk , where the vertex k is not in the matching, generate the polynomial pk−1 (x) All matchings of Pk , where the vertex k is in the matching, generate the polynomial...

Ngày tải lên: 07/08/2014, 21:20

... paramedian thalamic infarction Paramedian nuclei consist mainly of a dorsomedian nucleus and intralaminar nuclei The intralaminar nuclei consist of parafascicular, centromedian, central medial, paracentral ... Arterial vascularization of the human thalamus: extra-parenchymal arterial groups Surg Radiol Anat 2003, 25:408-415 Percheron G: Arteries of the human thalamus: II Arteries and paramedian thalamic ... stroke of the artery of Percheron Eur Radiol 2008, 18:192-194 Roitberg B, Tuccar E, Alp M: Bilateral paramedian thalamic infarct in the presence of an unpaired thalamic perforating artery Acta Neurochir...

Ngày tải lên: 11/08/2014, 17:21