heat transfer from a solid sphere in uniform flow for re lt lt 1 and pe gt gt 1
advanced transport phenomena
... Effects in Heat and Mass Transfer at Low Reynolds Number – An Introduction H Heat Transfer from a Solid Sphere in Uniform Flow for Re and Pe 1 Governing Equations and Rescaling in the Thermal Boundary-Layer ... with respect to the Cartesian axes 12 3, and its area is denoted as An The unit outer normal to ABC is n The areas of surfaces BCD, ACD, and ABD are denoted, respectively, as A1 , A2 , and A3 , ... of California in Santa Barbara He also holds positions in the Materials Department and in the Department of Mechanical Engineering He has taught at UCSB since 19 89 Before that, from 19 70 to 19 89...
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Tài liệu Báo cáo khoa học: "A GENERALIZATION OF THE OFFLINE PARSABLE GRAMMARS" doc
... Language Final Report Report No 69 91, BBN Systems and Technologies Corporation Cambridge, Massachusetts Bresnan, Joan, and Kaplan, Ronald (19 82) LFG: A Formal System for Grammatical Representation ... level" are acyclic In any x-bar grammar, the sorts "phrase type" and "bar level" will each contain a finite set of terms; therefore they are not cyclic sorts, and in forming the acyclic backbone ... Fernando, and Warren, David D (19 83) Parsing as Deduction In Proceedings of the 21st Annual Meeting of the Association for Computational Linguistics, Cambridge, Massachusetts Sato, Taisuke, and Tamaki,...
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Báo cáo toán học: " Colored partitions and a generalization of the braid arrangemen" docx
... polynomials of subspace arrangements and finite fields, (Preprint 19 96) [3] A Bj¨rner and J.W Walker, A homotopy complementation formula for partially o ordered sets, European J Combin (19 83), 11 19 ... New York, 19 92 [12 ] V Schechtmann and A Varchenko, Arrangements of hyperplanes and Lie algebra homology, Invent Math 10 6 (19 91) , 13 4 19 4 [13 ] R P Stanley, Some aspects of groups acting on finite ... Sundaram [15 , Corollary 2.3] the trivial Sn -representation appears in r|B1 | · · · r|Bf 1 | · sgne1 [ 1 ] · 1e2 [π2] · · · if and only if e2 ≤ 1, e3 = · · · = en = and in this case it appears...
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Báo cáo toán học: "DETERMINANT IDENTITIES AND A GENERALIZATION OF THE NUMBER OF TOTALLY SYMMETRIC SELF-COMPLEMENTARY PLANE PARTITIONS" pptx
... plane partitions had been calculated by Andrews [1] by transforming the sum of minors into a single determinant (using a result of Stembridge [15 , Theorem 3 .1, Theorem 8.3]) and evaluating the ... is a polynomial in x and y, then identify as many factors of the new determinant as possible (as a polynomial in x and y), and finally find a bound for the degree of the remaining polynomial factor ... (see the paragraph after the proof of Theorem 10 for an account of this relationship) Special cases of this identity appeared previously in the paper [2] of Andrews and Burge, also in connection...
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Báo cáo toán học: "RESTRICTED SET ADDITION IN GROUPS, II. ˝ A GENERALIZATION OF THE ERDOS-HEILBRONN CONJECTURE" pptx
... occur in Γ0 as τ (x) = y1 and / τ (x) = y2 cannot happen simultaneously Our next observation is that Γ contains no rectangles Indeed, any single rectangle x1 , y1 , x2 , y2 can be translated to ... q + 1/ 2, as required There is another way to complete the proof by making a funny observation that S is a Sidon set in G: an equality s1 − s2 = s1 − s2 with s1 = s2 , s1 = s1 creates a rectangle ... the representation c = a + b with (a, b) ∈ R R (in view of c ∈ A + B), and there are at most L such representations Letting A − B = / {a − b : a ∈ A, b ∈ B} we obtain |A − B| ≥ | (A − b0 ) ∪ (a0 ...
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Numerical studies of unsteady flow past bluff bodies
... 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 10 0 10 1 10 2 ...
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báo cáo hóa học: " A new generalization of the Riemann zeta function and its difference equation" docx
... Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 312 61, Saudi Arabia 2Center for Advanced Mathematics and Physics, National University of Science and Technology ... H -12 , Islamabad, Pakistan Authors’ contributions All authors contributed equally to the manuscript and read and approved the final draft Competing interests The authors declare that they have ... no competing interests Received: January 2 011 Accepted: 30 June 2 011 Published: 30 June 2 011 References Srivastava HM, Chaudhry MA, Qadir A, Tassaddiq A: Some extensions of the Fermi-Dirac and...
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Báo cáo toán học: "A Generalization of Gosper’s Algorithm to Bibasic" docx
... combinatorics (19 96), #R19 16 [4] G Gasper and M Rahman, An indefinite bibasic summation formula and some quadratic, cubic, and quartic summation and transformation formulas, Canad J Math., 42 (19 90), 1 27 ... Case (B2ax), and after interchanging x and p with y and q, respectively, also Case (B2ay ) On the other hand, if the coefficient of xa+c in (19 ) does not vanish, we obtain Case (B2bx ) and analogously ... summation have several different representations in terms of falling bibasic factorials From all possibilities, we shall consider only the one taking care of maximal chains, which informally can...
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Báo cáo toán học: "A generalization of Simion-Schmidt’s bijection for restricted permutations" doc
... of diagram squares of rank at most m − equals D1 , and which has as many occurrences (i1 , , im 1 , im ) of Bm -patterns as there are squares (im 1 , ∗) in D2 Before analysing this map, let ... and j < k < j Therefore, this array represents a (13 2-avoiding) permutation in Sr In particular, for every of its diagram squares (i , j ) – which are all of rank zero – we have i + j ≤ r Since ... four and height at least one in Dyck paths of length 2n and permutations π ∈ Sn satisfying a3 (π) = Remark 11 Thomas [12 ] gives the following alternative combinatorial proof of Proposition 10 dealing...
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Báo cáo toán học: "Chromatic number for a generalization of Cartesian product graphs" pot
... graphs in a family resulting from a more general graph operation Instead of placing copies of the same graph Gi on all the lines parallel to the i-th axis, we may place different graphs from a fixed ... implies that each graph in S d is d-colorable (when d ≥ 3) Also graphs in S are bipartite, since cycles in such a graph alternate between horizontal and vertical edges In general, graphs in S d are ... such that X(v)i takes each value in [k] with probability 1/ k, and the d coordinate variables are independent Generate a graph G with vertex set [N]d by making two vertices u and v adjacent if...
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Báo cáo toán học: "A generalization of generalized Paley graphs and new lower bounds for R(3, q)" pot
... cyclic graph Gn (Ai ) For an arbitrary a ∈ Ai , let r = |a( k)| If r > 1, then the equivalence class a = {a, a, ka, −ka, , k s− 1a, −k s 1 a} contains 2r elements If r = then a = {a, a} In particular, ... length t in (Ai , ≺) is called an Ai -colored chain of length t starting at x0 The length of a maximal chain starting at x0 is denoted by ℓi (x0 ) If there is no chain of positive length starting ... set and G130 (Ai ) is an automorphism cyclic graph It is easy to verify that the clique number of G130 (A1 ) is [G130 (A1 )] = Compute all A2 -colored chains starting at a ∈ M and we obtain the...
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Báo cáo toán học: "A generalization of Combinatorial Nullstellensatz" pot
... ×An i =1 b∈Ai \{ai } b∈B1 n (b − ) 1 · a i · i = a2 A2 , ,an ∈An i=2 b∈Ai \{ai } · (b − a1 ) 1 a1 A1 b A1 \ {a1 } b∈B1 (a1 − b) The last factor in this product can be simplified to the form ... function N as a normalizing factor for the interpolating function on A1 × × An defined by n χ (a1 , ,an ) (x1 , , xn ) = N (a1 , , an ) 1 · (xi − b) i =1 b∈Ai \{ai } Notice that χ (a1 , ,an ) is ... know that there exist a1 ∈ A1 \ {a} , a2 ∈ A2 , , an ∈ An so that g (a1 , , an ) = Hence f (a1 , a2 , , an ) = (a1 − a) · g (a1 , , an ) = 0, which proves the assertion of the theorem Coefficient...
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Báo cáo toán học: "A Hessenberg generalization of the Garsia-Procesi basis for the cohomology ring of Springer varieties" ppt
... and µ is an arbitrary partition of n In 19 82, Tanisaki [14 ] simplified their ideal; his simplification has since become known as the Tanisaki ideal Iµ For a representation theoretic interpretation ... original diagram for h will change in the diagram for h This completes the induction step, and we conclude that the multisets Ah and Bh are equal for all h Example 3.3.6 (Clarifying example for ... each barless tableau will contain the numbers 1, , n We may now place the bars into this tableau yielding a filling of µ Remark 3.2 .10 Observe that travelling from a barless tableau at Level...
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Báo cáo toán học: "On a Generalization of Meyniel’s Conjecture on the Cops and Robbers Game" potx
... Comput Sci 411 (2 010 ), no 7-9, 11 67 11 81 [4] P Frankl, Cops and robbers in graphs with large girth and Cayley graphs, Discrete Appl Math 17 (19 87), no 3, 3 01 305 [5] A Frieze, M Krivelevich, and P ... G Kun, and I Leader, Cops and robbers in a random graph, a arXiv:0805.2709v1 [math.CO] [3] F V Fomin, P A Golovach, J Kratochv´ N Nisse, and K Suchan, Pursuing a ıl, fast robber on a graph, Theor ... Holland, Amsterdam, 19 97 [10 ] A Mehrabian, Lower bounds for cop number when robber is fast, arXiv :10 07 .17 34v1 [math.CO] [11 ] R Nowakowski and P Winkler, Vertex-to-vertex pursuit in a graph, Discrete...
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Báo cáo toán học: "A generalization of some Huang–Johnson semifields" pot
... electronic journal of combinatorics 18 (2 011 ), #P29 AX σ B ∈ M (where A and B are two non–singular matrices over Fqn and σ ∈ Aut(Fqn )) φ such that S2 = S1 , where S1 and S2 are the semifield spread sets ... a linear set associated with a presemifield is invariant up to isotopy and up to the transpose operation Proof Let S1 and S2 be two presemifields with associated spread sets of linear maps S1 and ... in L(S) Also, since the weights of P and π in L(S) are and 5, respectively, and since L(S) has rank 6, we have that P is a point of the plane π The last part of the statement simply follows from...
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Báo cáo toán học: "A quasisymmetric function generalization of the chromatic symmetric function" pptx
... the form for PO1 as {12 34, 13 24} and for PO2 as XC4 = 4(L 111 1 + L1 21 ) + 2(L 111 1 + L 112 + L 211 + L22 ) = 6L 111 1 + 2L 211 + 4L1 21 + 2L 112 + 2L22 k This is in practice a much quicker way to compute ... paper the electronic journal of combinatorics 18 (2 011 ), #P 31 2 .1 Graphs and colorings We will assume a familiarity with standard facts and terminology from graph theory, as in [1] In this paper, ... #P 31 Figure 1: A bypass on vertices Pretzel [3] observed that the above condition was related to acyclicity (in which each weak cycle has at least edge oriented both forward and backward) and made...
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Báo cáo y học: "Stochasticity of flow through microcirculation as a regulator of oxygen delivery" doc
... Thomas Publisher 19 61 Stansberry KB, Shapiro SA, Hill MA, McNitt PM, Meyer MD, Vinik AI: Impaired Peripheral Vasomotion in Diabetes Diabetis Care 19 96, 19 : 715 -7 21 Intaglietta M: Arteriolar Vasomotion: ... 20 01, 209(2) :18 9 -19 9 14 Kislukhin VV: Regulation of oxygen consumption by vasomotion Math Biosci 2004, 19 1 (1) :10 1 -10 8 15 Pradhan RK, Chakravarthy VS, Prabhakar A: Effect of chaotic vasomotion in ... Feldstein ML, Frierson JL: Capillary lengths, anastomoses, and estimated capillary transit times in skeletal muscle [abstract] Am J Physiol 19 77, 233 (1) :H122-H129 Bertuglia S, Colantuoni A, Arnold...
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A Generalization of Riemann Sums Omran Kouba
... λk 1 + It follows that nα+p +1 n k p +1 ak = λn − k =1 nα+p +1 Mathematical Reflections (2 010 ) n 1 k α+p λk + k =1 αL α+p 1 nα+p +1 n 1 k α+p k =1 Using fact and fact we conclude that lim n→∞ nα+p +1 ... Press (19 80) Omran Kouba Department of Mathematics Higher Institute for Applied Sciences and Technology P.O Box 319 83, Damascus, Syria omran kouba@hiast.edu.sy Mathematical Reflections (2 010 ) ... k =1 we conclude that arctan(k/n) ϕ(k) = k(n + k) π arctan x dx 1+ x arctan x 1+ x dx The 1 t 1+ t to obtain Thus we only need to evaluate the integral I = to this is to make the change of variables...
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