strong convection effects in heat and mass transfer at low reynolds number an introduction
advanced transport phenomena
... Peclet Numbers G Strong Convection 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 ... Nusselt number Nu and the Reynolds and Prandtl numbers for heat transfer at high Reynolds number If you understand how to use scaling and asymptotic methods, you can show that the correlation must ... fluid mechanics and heat and mass transfer The earliest step toward the inclusion of specialized courses in fluid mechanics and heat or mass transfer processes within the chemical engineering curriculum...
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Tài liệu Báo cáo khoa học: "A GENERALIZATION OF THE OFFLINE PARSABLE GRAMMARS" doc
... that takes sets S t and S and finds the set link(Si,S 2) of all pairs [A,C] such that for some B, [A,B] e S t and [B,C] S Let T t be a representation for S t and T a representation for S 2, and ... Haas, Andrew; lngria, Robert; Roucos, Salim; StaUard, David; and Vilain, Marc (1989) Integration of Speech and Natural Language Final Report Report No 6991, BBN Systems and Technologies Corporation ... Harper and Row, New York, New York Gerald; Klein, Ewan; H Pereira, Fernando, and Warren, David D (1983) Parsing as Deduction In Proceedings of the 21st Annual Meeting of the Association for Computational...
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Báo cáo toán học: " Colored partitions and a generalization of the braid arrangemen" docx
... Orlik and L Solomon, Combinatorics and topology of complements of hyperplanes, Invent Math 56 (1980), 167–189 [11] P Orlik and H Terao, Arrangements of hyperplanes, Grundlehren der mathematischen ... Bi and Bh into the block Bj for which li = lh = lj = (C) τ < τ in Πn is a cover relation and τ is constructed from τ by merging the blocks Bi and Bh into the block Bj for which li = lj = and ... (0)) and they are permuted by Sn according to the natural Sn -action and each complement is stabilized by one of the one-point stabilizers Sn−1 in Sn Each complement is an atom in Πcol,1 and...
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Báo cáo toán học: "DETERMINANT IDENTITIES AND A GENERALIZATION OF THE NUMBER OF TOTALLY SYMMETRIC SELF-COMPLEMENTARY PLANE PARTITIONS" pptx
... determinant evaluation in Theorem 10 (and also of its q-analogue in [9]), and could also be used to give an inductive proof of the determinant evaluation in Theorem (and its q-analogue in [9]) ... determinants In Theorem 8, we succeed in evaluating the determinants (4.1) for independent x and y, taking advantage of all previous results in Section There is another interesting determinant ... nonintersecting lattice paths [6, Cor 2; 15, Theorem 1.2] (see Proposition A1) this determinant has an interpretation in terms of nonintersecting lattice paths By a lattice path we mean a lattice path in...
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Báo cáo toán học: "RESTRICTED SET ADDITION IN GROUPS, II. ˝ A GENERALIZATION OF THE ERDOS-HEILBRONN CONJECTURE" pptx
... derivatives and additive theory, Bull London Math Soc 26 (1994), 140–146 ˝ [5] P Erdos and R.L Graham, Old and new problems and results in combinatorial number theory, L’Enseignement Math´matique, ... = a and considered only the case B = A; on the other hand, the latter allowed us to cover non-commutative groups Theorem Let G be an Abelian group, let A, B ⊆ G be subsets of G, and let R satisfy ... Γ contains no rectangles Indeed, any single rectangle x1 , y1 , x2 , y2 can be translated to produce q rectangles x1 + u, −u + y1 , x2 + u, −u + y2 ; u ∈ G, each containing at most two vertices...
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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 31261, Saudi Arabia 2Center for Advanced Mathematics and Physics, National University of Science and Technology ... 46:144-157 14 Dingle RB: Asymptotic Expansions: Their Derivation and Interpretation Academic Press, London and New York; 1973 15 Paris RB, Kaminski D: Asymptotics and Mellin-Barnes Integrals Cambridge ... in [18] for the literature on these particles) The eBE and eFD functions had been put forward as possible candidates for the anyon function as they interpolate very naturally between the BE and...
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Báo cáo toán học: "A Generalization of Gosper’s Algorithm to Bibasic" docx
... of combinatorics (1996), #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., ... fraction in (20) may eliminate only positive integer powers of p and a rational function of y but never introduce a power of q This proves Case (B2ax), and after interchanging x and p with y and q, ... Furthermore, since A and B are both products of a q-monic and a p-monic polynomial, they will never contribute to bx /ax and by /ay Thus, bx /ax and by /ay are in any case integer ¯ ¯ powers of q and...
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Báo cáo toán học: "A generalization of Simion-Schmidt’s bijection for restricted permutations" doc
... tunnels of length at least 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 ... Babson and J West, The permutations 123p4 pt and 321p4 pt are Wilf-equivalent, Graphs Combin 16 (2000), 373-380 E Barcucci, A Del Lungo, E Pergola, and R Pinzani, Permutations avoiding an increasing ... and rearranging these dots in a way that the marked dot contained in the ith row lies strictly to the left of the marked dot contained in the jth row if and only if B (i, j) ∈ Om (π) Remark An...
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Báo cáo toán học: "Chromatic number for a generalization of Cartesian product graphs" pot
... vertices u and v adjacent if they differ in exactly one coordinate and X(u)ℓ = X(v)ℓ , where ℓ is the coordinate in which u and v differ By construction, any set of vertices in G that all agree ... the chromatic number and independence number of graphs in G d is related to similar problems appearing in computational geometry Frequency assignment problems for transmitters in the plane are ... d and assume k ≥ We randomly generate a graph G with vertex set [2k]d As before an element z in [d] × [2k]d−1 designates a line in [2k]d parallel to some axis We place a random perfect matching...
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Báo cáo toán học: "A generalization of generalized Paley graphs and new lower bounds for R(3, q)" pot
... Gleason, Combinatorial relations and chromatic graphs, Canad J Math., (1955),1-17 [5] R Hill, R W Irving, On group partitions associated with lower bounds for symmetric Ramsey numbers, European J Comb ... order in terms of Definition and the set of representatives of equivalence classes is M = {2, 14, 4, 5, 8} Compute all A2 -colored chains starting at a ∈ M and we obtain an A2 -colored chain ≺ ... Wenlong, Luo Haipeng and Li Qiao, New Lower Bounds of Classical Ramsey Numbers R(4, 12), R(5, 11) and R(5, 12), (in Chinese), Chinese Science Bulletin, 1998,43, 6: 528 [13] Wu Kang, Su Wenlong, Luo...
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Báo cáo toán học: "A generalization of Combinatorial Nullstellensatz" pot
... polynomial in F[x1 , , xn ] and let fα1 , ,αn denote the coefficient of xα1 · · · xαn in f Suppose that there is no greater element than n (α1 , , αn ) in Supp(f ) Then for any sets A1 , , An in ... is bipartite and leading coefficients of fv are positive) So the copies of M cannot cancel as we are working in the field R Finally maximality of M in Supp(h) can be seen easily by giving weight 1/ ... field, and let f be a polynomial in F[x1 , , xn ] Suppose that (α1 , , αn ) is maximal in Supp(f ) Then for any subsets A1 , , An of F satisfying |Ai | αi + 1, there are a1 ∈ A1 , , an...
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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 Erik Insko also gave useful input Lastly, I thank the anonymous referee for an exceptionally thorough reading of this manuscript and many helpful suggestions 1.1 Brief history of the Springer ... of an (h, µ)-filling T if the electronic journal of combinatorics 17 (2010), #R153 3 3 , , , , , and Figure 1.2: The six (h, µ)-fillings for h = (3, 3, 3) and µ = (2, 1) b > a, b is below a and in ... follows by the definition of row-strict and the fact that n is the largest number in any filling of ρ n To illustrate the proof of (b), consider the following schematic for ρ: ρ := r Enumerate...
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Báo cáo toán học: "On a Generalization of Meyniel’s Conjecture on the Cops and Robbers Game" potx
... [2] B Bollob´s, 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 ... vertex of at most ds escaping paths This shows that v is on at most ds + msds−1 escaping paths Recall that since the robber was in a safe vertex before the cops’ move, no cop is in A at this moment ... By controlling each escaping path, the cops can decrease the number of free escaping pairs by at most (as each path has two endpoints), hence the number of non-free escaping pairs is at most 6msds...
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Báo cáo toán học: "A generalization of some Huang–Johnson semifields" pot
... has weight or in L(S) and that any point different from P has weight or in L(S) Since P and π are the unique point and the unique plane of P of weight and in L(S), respectively, and since the elements ... transpose and the translation dual operations The linear set L associated with a semifield in class F3 has the following structure (F3 ) L contains a unique point of weight and does not contain any line ... equivalently, L contains a unique point of weight grater than and such a point has weight In this case L is not contained in a plane and |L| = q + q + q + q + Suppose that S is a semifield belonging to class...
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Báo cáo toán học: "A quasisymmetric function generalization of the chromatic symmetric function" pptx
... functions, and P -partitions is introduced In Section 3, we k introduce the invariant XG , the k-chromatic quasisymmetric function, and look at several k of its properties In Section 4, the invariant ... orientation k To see that XG is indeed quasisymmetric, let κ be a k-balanced coloring and let τ : N → N be an order-preserving injection Then κ′ = τ ◦ κ is also a proper coloring, and since τ ... endpoint with the larger color Accordingly, define a coloring to be k-balanced iff it induces a k-balanced orientation in this way We now can define our main object of study: the k-balanced chromatic...
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Báo cáo y học: "Stochasticity of flow through microcirculation as a regulator of oxygen delivery" doc
... measure of the intensity to resume the flow and 1/μ is the mean time for resuming of flow Since the time t-T is the time spent in n interruptions of flow, then the sum of n independent random variables ... {B(T)}, then the randomization of (2.7) by B(T) will transform (2.8) into the equation with T as mean transit time to pass organ without interruption, Tmean [5], and the estimation of the consumed ... move, and T is constant for given organ The total time to pass an organ by a RBC will be denoted as t, and t - T is the time spent in the interruptions of flow To find the t let assume that a...
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A Generalization of Riemann Sums Omran Kouba
... supn≥1 n1 α k=1 ak , then L ≤ M and we observe that for every continuous functions f and g on [0, 1] and all positive integers n, |In (f ) − In (g)| ≤ M sup |f − g| and |J(f ) − J(g)| ≤ M sup |f ... and E M.Wright, An Introduction to the Theory of Numbers (5th ed.), Oxford University Press (1980) Omran Kouba Department of Mathematics Higher Institute for Applied Sciences and Technology P.O ... fact that limn→∞ In (X p ) = J(X p ), for every nonnegative integer p Using linearity, we conclude that limn→∞ In (P ) = J(P ) for every polynomial function P n On the other hand, if M = supn≥1...
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