heat transfer from a sphere in simple shear flow at low peclet numbers
advanced transport phenomena
... Similarity Transformation F Start-Up of Simple Shear Flow G Solidification at a Planar Interface H Heat Transfer in Unidirectional Flows Steady-State Heat Transfer in Fully Developed Flow through a ... Number E Heat Transfer from a Body of Arbitrary Shape in a Uniform Streaming Flow at Small, but Nonzero, Peclet Numbers F Heat Transfer from a Sphere in Simple Shear Flow at Low Peclet Numbers ... 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...
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Tài liệu Báo cáo khoa học: "A GENERALIZATION OF THE OFFLINE PARSABLE GRAMMARS" doc
... of derivation trees and the language that it generates just as we for a context-free grammar The language and the derivation trees generated by a unification grammar are the ones generated by ... under alphabetic variance Since the ground grammar for G ' allows arbitrarily long chain derivations, DN÷ t must contain at least one element, say (Ao, AN+I) This list contains two terms that belong ... Fernando, and Warren, David D (1983) 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
... in a maximal chain in [ˆ x] minus 1) As an 0, immediate consequence we obtain : Corollary 3.2 The partially ordered set Πcol,s is a geometric semilattice In particn ular, if ˆ is an additional ... n-space To each arrangement A corresponds an n-dimensional complex manifold MA = Cn \ H The space MA is called the complement of the arrangement H A A The combinatorial object associated to an arrangement ... the intersection H with the space Cn Note, that in general LA is actually not H∈∅ a lattice but a meet-semilattice (i.e., in ma exist but suprema in general not) The link between the combinatorics...
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Báo cáo toán học: "DETERMINANT IDENTITIES AND A GENERALIZATION OF THE NUMBER OF TOTALLY SYMMETRIC SELF-COMPLEMENTARY PLANE PARTITIONS" pptx
... Proposition A1 ) this determinant has an interpretation in terms of nonintersecting lattice paths By a lattice path we mean a lattice path in the plane consisting of unit horizontal and vertical steps in ... linear combination (3.20)) Taking the limit x → −c in (3.21) then (a) reveals that these denominators cancel in the determinant, so that DB (x, y, y ; n) is ¯ n−1 actually a polynomial in x and ... subject became more and more exciting as I came across an increasing number of interesting determinants that could be evaluated, thus generalizing several determinant identities of Andrews and Burge...
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Báo cáo toán học: "RESTRICTED SET ADDITION IN GROUPS, II. ˝ A GENERALIZATION OF THE ERDOS-HEILBRONN CONJECTURE" pptx
... be an injective mapping from A to B Suppose that m + n ≥ q + Then τ √ |A + B| > q − q − In a certain (rather narrow) range of m, n and in the particular case of R induced by an injective mapping, ... set addition in groups I The classical setting, Journal of the London Mathematical Society, to appear [7] J.M Pollard, A generalization of the theorem of Cauchy and Davenport, J London Math Soc ... observation is that 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...
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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 ... 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 ... Chaudhry MA, Zubair SM: On a Class of Incomplete Gamma Functions with Applications Chapman and Hall (CRC Press), Boca Raton; 2001 Magnus W, Oberhettinger F, Tricomi FG: Tables of Integral Transforms,...
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Báo cáo toán học: "A Generalization of Gosper’s Algorithm to Bibasic" docx
... journal 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., ... Natl Acad Sci U.S .A. , 75 (1978), 40–42 [8] P Paule, Greatest factorial factorization and symbolic summation, J Symbolic Computation, 20 (1995), 235–268 [9] P Paule and A Riese, A Mathematica ... intuitively can be understood as prohibiting “overlaps” of bibasic factorials that violate length maximality The following theorem states that, as in the q-hypergeometric case, the bibasic GFF-form...
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Báo cáo toán học: "A generalization of Simion-Schmidt’s bijection for restricted permutations" doc
... these statistics In particular, it will be shown that there are as many permutations in Sn which avoid all patterns τ ∈ Sm with τm−1 = m and τm = m − as permutations which avoid all patterns ... connection line of a high peak (A high peak of a Dyck path is an up-step followed by a down-step whose common lattice point is at a level greater than one.) Their number was also given in [4]; it equals ... of length 2n and permutations π ∈ Sn satisfying a3 (π) = Remark 11 Thomas [12] gives the following alternative combinatorial proof of Proposition 10 dealing with the permutation statistic b3 :...
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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 ... -chromatic graphs in G d probabilistically, but an explicit construction can then be obtained by building, for each n, a graph in G d that is “universal” in the sense that it contains all graphs in ... 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...
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Báo cáo toán học: "A generalization of generalized Paley graphs and new lower bounds for R(3, q)" pot
... leads to contradiction again Definition A chain x0 ≺ x1 ≺ · · · ≺ xt of length t in (Ai , ≺) is called an Ai -colored chain of length t starting at x0 The length of a maximal chain starting at ... {a, a, ka, −ka, , k s− 1a, −k s−1 a} of Ai forms an interval under ≺ with a ≺ a ≺ ka ≺ −ka ≺ · · · ≺ k s−1 a ≺ −k s−1 a (2) Assume that x ∈ a , y ∈ b and a is not equivalent to b If di (a) ... Proof Assume that k, h ∈ P It follows from Lemma that kAi = Ai and hAi = Ai Thus khAi = Ai Hence kh ∈ P, which means that P is closed under multiplication Obvious ∈ P It remains to show that every...
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Báo cáo toán học: "A generalization of Combinatorial Nullstellensatz" pot
... F, with |A| Then (b − a) −1 = a A b A\ {a} Proof Consider the polynomial f (x) = a A b A\ {a} (x − b) (a − b) Its degree is at most |A| − 1, and for all a ∈ A it takes value of Hence f ≡ and the ... 9, pp [4] M Michalek, A short proof of Combinatorial Nullstellensatz, Amer Math Monthly (to appear) [5] U Schauz, Algebraically solvable problems: describing polynomials as equivalent to explicit ... maximal degree The assertion follows from Theorem Notice that in the above theorem the labels can be taken from arbitrary lists of size at least kl + Let us conclude the paper with the following...
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Báo cáo toán học: "A Hessenberg generalization of the Garsia-Procesi basis for the cohomology ring of Springer varieties" ppt
... 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 i − down to a barless tableau at Level i, Lemma 3.2.8 asserts ... the values 1, 2, , n into a barless tableau satisfying an h-permissibility condition When all n numbers are in the barless tableau, we will introduce bars so that it is a traditional tableau ... of diagonal matrices and µ is an arbitrary partition of n In 1982, Tanisaki [14] simplified their ideal; his simplification has since become known as the Tanisaki ideal Iµ For a representation...
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Báo cáo toán học: "On a Generalization of Meyniel’s Conjecture on the Cops and Robbers Game" potx
... escaping paths Since there are c cops in the game, the cops control at most 3msds c escaping paths By controlling each escaping path, the cops can decrease the number of free escaping pairs by at ... (x, y)-path is called an escaping path By definition, every escaping path can be written as u1 u2 u3 us+1 , where u1 ∈ X and u2 ∈ A / Claim Each cop controls at most 3msds escaping paths Proof ... Remark It can be shown using a similar argument that every x ∈ X has at most m neighbors in A A By an escaping pair we mean a pair (x, y) of vertices with x ∈ X and y ∈ Ns (x) We call x the head...
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Báo cáo toán học: "A generalization of some Huang–Johnson semifields" pot
... we have that P is a point of the plane π The last part of the statement simply follows from the facts that any plane of P, different from π, has weight or in L(S) and that any point different from ... of weight and does not contain any line of P or, 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| = ... under addition, containing the zero matrix and whose non–zero elements are invertible In this case, we say that S is a semifield spread set of matrices associated with S and since every matrix...
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Báo cáo toán học: "A quasisymmetric function generalization of the chromatic symmetric function" pptx
... orientations are necessarily acyclic, but they have the additional property that every weak cycle has at least edges oriented both forward and backward, due to the fact that Hasse diagrams include ... 4.2), and complete bipartite graphs (Thm 4.4) A reciprocity relationship between k-balanced colorings and k-balanced orientations, generalizing Stanley’s classical theorem that evaluating the ... can see that an orientation is acyclic if and only if it is 1balanced Similarly, a graph is a Hasse graph if and only if it has a 2-balanced orientation Recall that the girth of a graph is the...
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Báo cáo y học: "Stochasticity of flow through microcirculation as a regulator of oxygen delivery" doc
... during sec Let also assume that the probability to resume the flow does not depend on the time for the flow being interrupted; meaning that the time τ to resume the flow (after stopping) follows ... 1961 Stansberry KB, Shapiro SA, Hill MA, McNitt PM, Meyer MD, Vinik AI: Impaired Peripheral Vasomotion in Diabetes Diabetis Care 1996, 19:715-721 Intaglietta M: Arteriolar Vasomotion: Implications ... muscles at rest, no is about 0.05 - 0.1 [7], if no is a constant then one can see from (2.8) that variation of μ and b from small values to the higher values will vary the oxygen consumption about...
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A Generalization of Riemann Sums Omran Kouba
... 1−t 1+t to obtain Thus we only need to evaluate the integral I = to this is to make the change of variables x ← I= arctan = Hence, I = π π 1−t 1+t dt = 1+t (5) “easy” way dt π − arctan t 1+t dt ... n lim Mathematical Reflections (2010) f k=1 k n ϕ(k) = π2 xf (x) dx (4) Choosing f (x) = arctan x x(1+x) n lim n→∞ k=1 we conclude that arctan(k/n) ϕ(k) = k(n + k) π arctan x dx 1+x arctan x 1+x ... p+1 ak = k α+p+1 λk − k(k − 1)α+p λk−1 + It follows that nα+p+1 n k p+1 ak = λn − k=1 nα+p+1 Mathematical Reflections (2010) 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...
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