euler apos s proofs of newton apos s rule
Báo cáo toán học: " COMBINATORIAL PROOFS OF CAPELLI’S AND TURNBULL’S IDENTITIES FROM CLASSICAL INVARIANT THEORY" potx
Ngày tải lên :
07/08/2014, 06:20
... G runs over all A and K over all the subsets of the link source set of G It is obvious who the good guys are: those pairs (G, K) such that G has no 1 s on the last row and such that K is empty ... kr } of the set I = {i1 , , im } of the link sources We then have to consider the set of all the pairs (G, K), subject to the previous conditions and define the weights of those pairs as single ... G Thus K ∪ {i} is a set of link sources of G It then makes sense to define K = K ∪ {i} Also notice that relation (1.5) still holds As before, w(G) and w(G) have opposite signs Furthermore |w(G)|...
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Báo cáo toán học: " Two Simple Proofs of Winquist’s Identity" doc
Ngày tải lên :
08/08/2014, 12:22
... 78(1997), 313–318 [5] S Kongsiriwong and Z.-G Liu, Uniform proofs of q-series-product identities, Results in Math 44(2003), 312–339 [6] L Winquist, An elementary proof of p(n) ≡ (mod 11), J Combin ... 2511–2515 [3] M D Hirschhorn, A generalisation of Winquist s identity and a conjecture of Ramanujan, J Indian Math Soc 51(1987), 49–55 [4] S. -Y Kang, A new proof of Winquist s identity, J Combin ... combinatorics 17 (2010), #R116 3 Second Proof In this section, we prove Winquist s identity with no use of the Jacobi triple product identity First, we let g(a, b, q) denote the right hand side of (1.1)...
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NEUBER'S RULE APPLIED TO FATIGUE OF NOTCHED SPECIMENS
Ngày tải lên :
24/05/2014, 20:28
... any two of the following cur-ves: stress vs life, total strain vs life, piastic strain vs life, and cyclic stress vs cyclic strain IV COMPARISON WITH EXPERIMENTAL RESULTS Two metals are considered, ... LS on a cyclic stress -strain curve (Fig 2) At longer lives there is no need for the cyclic stress -strain curve since the nomin~l, strains are essentially elastic reduces to KfAS, i In this ... was calculated from steady-state stress and s6 tin It is well documented (9) that the stress and strain ranges of unnotched specimens approach a steady-state value after a small precentage of...
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A study on the use of neuber's rule in fatigue crack
Ngày tải lên :
24/05/2014, 20:30
... test program The findings of this study verified the applicability of Neuber 's rule in plane stress situations A method of estimating multiaxial elastic-plastic notch stresses and strains was ... von Mises or Tresca yield criterion The theory of plasticity offers two possibilities to correlate the equivalent stress and strain to the principal stress and strain The stress tensor [a]is often ... stress and strain concentration factors is equal to the theoretical stress concentration factor Generally, this is expressed in tems of stress and strain ranges for the case when the stress range...
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professor grammar ''s rule book
Ngày tải lên :
20/11/2013, 01:59
... oPtNtoIu ORIGIN Itwas a Itwas an Itwas an English Itwas a lovely Now of course you don't need to use five adjectives to describe my tablel But oPSHAcoM exptains why some of these sentences are incorrect ... adjectives more strength EXAMPLES He is unbelievably He was terribly handsome late incredibly hard terrifically expensive She works It was Exercise ! U7hich of these sentences are nonsense? I You ... committee has/have made their decision A number of changes has/have been made The number of changes was/were decided I yesterday John is one of the students who is/are go_ing None of the books is/are...
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Aesthetic Analysis of Proofs of the Binomial Theorem pptx
Ngày tải lên :
16/03/2014, 18:20
... closes off the subject A strong case can be made here for all three of the proofs The induction proof suggests the utility of recurrences It also gives one of the most basic examples of an essential ... in his essay The Phenomenology of Mathematical Beauty stresses the variety of aspects of mathematics which can be considered beautiful (theorems, proofs, definitions, axiom systems) and notes that ... mathematics, cites a need for criticism in mathematics His discussion includes consideration of proof as both an art of composition and an art of performance, allowing for the refinement of proofs using...
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Báo cáo toán học: " New proofs of Schur-concavity for a class of symmetric functions" potx
Ngày tải lên :
20/06/2014, 21:20
... nonempty closed subset of a uniformly smooth, strictly convex and reflexive Banach space E such that J(C) is closed and convex Assume that a mapping f: J(C) × J(C) ® R satisfies the conditions (A1)-(A4) ... recall some concepts and results Definition 2.1 (see [11]) Let C be a nonempty closed subset of a smooth Banach space E A mapping T: C ® C is said to be generalized nonexpansive if F(T) is nonempty ... equilibrium problem: Let E be a smooth Banach space with dual space E* and C be a nonempty closed subset of E such that J(C) is a closed and convex subset of E*, where J is the normalized duality mapping...
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báo cáo hóa học: " Elementary proofs of two theorems involving arguments of eigenvalues of a product of two unitary matrices" potx
Ngày tải lên :
21/06/2014, 02:20
... existing proofs of Theorems and involve rather high level geometrical or analytical methods Here, we report elementary proofs of these two theorems One of the advantages of these elementary proofs ... Nevertheless, we can still talk about sup arg(U) the supremum of the arguments of the spectrum of U The symbols inf arg(U) and sup |arg|(U) can be similarly defined We now state the extensions of Theorems ... doi:10.1186/1029-242X-2011-18 Cite this article as: Chau and Lam: Elementary proofs of two theorems involving arguments of eigenvalues of a product of two unitary matrices Journal of Inequalities and Applications 2011 2011:18...
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Báo cáo sinh học: "Research Article On the Twisted q-Analogs of the Generalized Euler Numbers and Polynomials of Higher Order" ppt
Ngày tải lên :
21/06/2014, 16:20
... formulas of the twisted q-extension of the generalized Euler numbers and polynomials of order k attached to χ On the Twisted q-Extension of the Generalized Euler Polynomials In this section, we assume ... and Euler numbers,” Russian Journal of Mathematical Physics, vol 15, no 4, pp 481–486, 2008 T Kim, “q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients,” Russian ... see the Witt s formula for En,χ,ζ x as follows: k ··· X χ xi X i x1 ··· xk x n ζ x1 ··· xk dμ−1 x1 · · · dμ−1 xk k En,χ,ζ x 1.12 The purpose of this paper is to present a systemic study of some...
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Báo cáo hóa học: " Research Article Note on q-Extensions of Euler Numbers and Polynomials of Higher Order" docx
Ngày tải lên :
22/06/2014, 06:20
... polynomials In this section we also assume that q ∈ Cp with |1 − q|p < Now we study on higher-order q -Euler numbers and polynomials and sums of products of q -Euler numbers First, we try to consider ... Y Simsek, and I N Cangul, “Remarks on sum of products of h,q -twisted Euler polynomials and numbers,” to appear in Journal of Inequalities and Applications 15 Y Simsek, “Theorems on twisted L-function ... “Sums of powers of consecutive q-integers,” Advanced Studies in Contemporary Mathematics, vol 9, no 1, pp 15–18, 2004 10 T Kim, “q-generalized Euler numbers and polynomials,” Russian Journal of...
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Báo cáo toán học: " Short and Easy Computer Proofs of the Rogers-Ramanujan Identities and of Identities of Similar Type" pdf
Ngày tải lên :
07/08/2014, 06:20
... missed observing is that both sides of a slight variation of the original form of identity (2) satisfy indeed the same recurrence of order two This variation makes use of the summand s symmetry ... identities For sake of completeness, we present qWZ-certificates of corresponding finite versions Version (27) for the quintuple product identity seems to be stated the first time in this form 5.1 ... consists in introducing an extra factor + q k in the summand of the right hand side, which, because of symmetry in k and −k, amounts to the same as multiplying the sum by This is made more transparent...
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Báo cáo toán học: " Bijective proofs of the hook formulas for the number of standard Young tableaux, ordinary and shifted" pptx
Ngày tải lên :
07/08/2014, 06:20
... (S) , where the hook weight wh is read in the ordinary sense Sagan s shifted Hillman– Grassl algorithm [11, sec 3,4] does the same for reverse plane partitions of shifted shape λ and tabloids of ... ordinary or shifted sense) is a reverse plane partition whose set of entries is {1, 2, , n} Figure 2.c displays an ordinary standard Young tableau of shape (4, 3, 3, 1), Figure 2.d displays a shifted ... being subsets of the bigger set X, that has to be described next We define X to be the set of all triples (S, T, U), where S is an arbitrary tabloid of shape λ, where T is a (< #)-tabloid of shape...
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Báo cáo toán học: "Bijective Proofs of Identities from Colored Binary Trees" doc
Ngày tải lên :
07/08/2014, 15:22
... φ is an involution on the set of improper forests of colored binary trees, which reverses the parity of the color numbers of the forests Hence the right side summand of Formula (1.1) counts the ... corresponds to an up step and a right edge corresponds to a down step An ascent of a Dyck path is a maximal the electronic journal of combinatorics 15 (2008), #N20 sequence of contiguous up steps and ... is a lattice path from (0, 0) to (2n, 0) that does not go below the x-axis and consists of up steps (1, 1) and down steps (1, −1) Note that there is a standard bijection from full binary trees...
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Báo cáo toán học: "Lattice path proofs of extended Bressoud-Wei and Koike skew Schur function identities" pdf
Ngày tải lên :
08/08/2014, 12:23
... entries read from left to right across the ith row specify the heights of succesive eastward steps on the ith path It is not difficult to see that the semistandard nature of T provides the necessary ... the set of semistandard Young tableaux of shape λ and, similarly, T λ/σ (m) be the set of semistandard Young tableaux of skew shape λ/σ For each T ∈ T λ (m) the corresponding m-tuple of paths is ... product over i on the right of (14) is then realised as a sum of contributions from all possible sets of m-tuples of north-east paths for which the ith path goes from either ′ Pπ(i) = (m + − π(i),...
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Báo cáo toán học: "Hybrid Proofs of the q-Binomial Theorem and other identities" ppsx
Ngày tải lên :
08/08/2014, 14:22
... two sets of partitions and the result is proved Graphically, we may describe these transformations as follows In each case, we start with the usual Ferrers diagram of the partition It can be seen ... (2011), #P60 step is to distribute the n parts of size r so that one r is at the bottom of each of these n columns We then form a new partition whose parts are the columns of this intermediate ... was proved by Bhargava and Adiga [10], while Srivastava [30] showed that (4.2) follows as a special case of Heine s transformation, as described above Lastly, a combinatorial proof of (4.2) has...
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Báo cáo toán học: " Combinatorial and Automated Proofs of Certain Identities" pdf
Ngày tải lên :
08/08/2014, 14:23
... combinatorial proofs In Section we present computer generated proofs of the main identities In Section we provide proofs of the identities using generating functions Throughout this paper we denote the set ... WZ proof style see [6] In this paper we present proofs of two identities using the above mentioned methods The paper is organized as follows In Section we state the main identities In Section ... is time-tested since Euler It uses formal series expansions and is flexible enough to be applied to many situations Formal series expansions satisfy additive and multiplicative properties making...
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Towards efficient proofs of storage and verifiable outsourced database in cloud computing
Ngày tải lên :
09/09/2015, 18:58
... properties of the proposed schemes under various cryptographic hard problem assumptions ix List of Tables 1.1 Complexities of proofs of storage schemes POS1, POS2, and POS3 2.1 The False Acceptance ... also applies to proofs of storage Additionally, the idea of introducing redundancy to tradeoff resources is useful in proofs of storage 2.4.3 Proofs of Retrievability and Provable Data Possession ... 4, we propose a homomorphic Message Authentication Code scheme named S1 and apply S1 to construct a proofs of storage scheme named POS1 The resulting proofs of storage scheme POS1 is very efficient...
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In order to become competent in a foreign language, it is important for language learners not only to acquire new vocabularies and a new set of phonological and syntactic rules but also to learn what Wilson (1986)
Ngày tải lên :
17/04/2013, 16:09
... Thắc, Trần Đề (s thực Trấn Di) thuộc s ng Hậu [theo 66; 367] Hệ thống s ng Đồng Nai với mạng lưới s ng nhánh dày s ng La Ngà, s ng Bé, s ng S i Gòn… Các hệ thống s ng ngòi, kênh rạch hình thành nên ... hải s n -20- 1.1.1.3 S ng rạch Mạng lưới s ng ngòi, kênh rạch (cả kênh tự nhiên kênh đào) Nam Bộ dày đặc, chằng chòt Hệ thống s ng Cửu Long với hai nhánh lớn s ng Tiền s ng Hậu Hệ thống s ng ... đằng sau để s ng tạo phong cách s ng tự do, phóng khoáng làm cho đạo lí giàu tính nhân dân tộc ánh lên s c màu độc đáo Họ không khuất phục trước cường quyền, s n s ng cứu khốn, phò nguy, s ng...
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Báo cáo khoa học: "Effective Use of Function Words for Rule Generalization in Forest-Based Translation" pdf
Ngày tải lên :
30/03/2014, 21:20
... representation of the new phrase is calculated at the same time As such, an HPSG parse forest can be considered to be a forest of signs Making use of these signs instead of part -of- speech (POS)/phrasal ... value of k (of the k-best outputs) is set to be 200 4.2 Results Table lists the statistics of the following translation rule sets: • C3-T: a composed rule set extracted from the derivation forests ... forestbased translation rules (Mi and Huang, 2008) as the baseline system for translating English HPSG forests into Japanese sentences We analyzed the performance of the proposed translation rule...
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Báo cáo toán học: "A Concise Proof of the Littlewood-Richardson Rule" pdf
Ngày tải lên :
07/08/2014, 06:23
... vice-versa without violating semistandardness as long as the free positions remain weakly increasing by row The tableau σk (T ) is obtained by reversing the numbers of free k s and k + 1 s within ... Gasharov, A short proof of the Littlewood-Richardson rule, European J Combin 19 (1998), 451–453 [KN] M Kashiwara and T Nakashima, Crystal graphs for representations of the qanalogue of classical ... |T −1 (k)| denotes the number of k s in T The generating series s /ν = T S( µ/ν) xω(T ) is a skew Schur function There is a well-known set of involutions σ1 , , σn−1 on S( µ/ν), due to Bender...
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