polynomials ideals and manifolds

... remote and challenging locations— we invent, design, engineer, and apply technology to help our customers find and produce oil and gas safely. Who are we looking for? Every year, we need thousands ... with polynomials, because only a finite number of constants can be stored in a computer As indicated above there even exists an explicit construction (Bernstein polynomials) of such polynomials polynomials ... the following domains: n Engineering, Research and Operations n Geoscience and Petrotechnical n Commercial and Business Trang 36It is easy to understand the principle of the division algorithm above

Ngày tải lên: 16/01/2021, 11:39

... with the maximal ideal m and d = dim A > 0 Let Q be a parameter ideal in A and let q > 0 be an integer We put I = Q : mq andrefer to those ideals as quasi-socle ideals in A In this paper ... Gotonumbers and quasi-socle ideals as well The study of socle ideals Q : m dates back to the research of L Burch [B], where she explored certain socle ideals of finite projective dimension and gave ... recently, A Corsoand C Polini [CP1, CP2] studied, with interaction to the linkage theory of ideals,the socle ideals I = Q : m of parameter ideals Q in a Cohen-Macaulay local ring(A, m) and showed that

Ngày tải lên: 23/12/2022, 09:40

... numbers and polynomials by using the integral equations of p-adic From these equations, we give some interesting formulae for the higher-order Carlitz’s type q-Bernoulli numbers and polynomials ... extended Carlitz type q-Bernoulli numbers and polynomials in p-adic number field. 1 Introduction Let p be a fixed prime number Throughout this paper, Z p,Qp,C, and Cpwill, respectively, denote the ... 17 pagesdoi:10.1155/2010/575240 Research Article Numbers and Polynomials Associated with q-Volkenborn Integrals T Kim,1 J Choi,1 B Lee,2 and C S Ryoo3 Seoul 139-701, Republic of Korea Correspondence

Ngày tải lên: 21/06/2014, 07:20

... numbers and polynomials as follows: t  log q qe t− 1 e xt ∞  n0 B n q x t n In this paper, we define the twisted q-Bernoulli polynomials and the twisted generalized q-Bernoulli polynomials ... Twisted Generalized Bernoulli Polynomials In this section, we consider the generalized Bernoulli numbers and polynomials and then define the twisted generalized Bernoulli polynomials attached to χ ... S.-D Kim, D.-W Park, and Y.-S Ro, “A note on Euler number and polynomials,” Journal of Inequalities and Applications, vol 2006, Article ID 34602, 5 pages, 2006. 5 L.-C Jang and T Kim, “On the

Ngày tải lên: 21/06/2014, 16:20

... 875098, 11 pagesdoi:10.1155/2010/875098 Research Article Numbers and Polynomials of Higher Order 1 Department of Mathematics and Computer Science, KonKuk University, Chungju 138-701, Republic ... unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited We consider the twisted q-extensions of the generalized Euler numbers and polynomials attached ... q-extension of the generalized Euler numbers and polynomials of order k attached to χ. In this section, we assume that q ∈ C pwith|1 − q| p < 1 and ζ ∈ T p For d ∈ N with 2  d, let χ be the

Ngày tải lên: 21/06/2014, 16:20

... ∼ c n if b n  c n and c n  b n We denote the class of polynomials of degree at most n by P n Throughout C, C1, C2, denote positive constants independent of n, x, t, and polynomials of degree ... differentiate the left and right sides of 2.2 and substitute 2.2 and 2.9 Then consequently, we have, for n ≥ 1, Trang 7For the higher-order differential equation for orthonormal polynomials, we ... pagesdoi:10.1155/2010/816363 Research Article Derivatives of Orthonormal Polynomials and Coefficients of Hermite-Fej ´er Interpolation Polynomials with Exponential-Type Weights 1 Department of Mathematics

Ngày tải lên: 21/06/2014, 18:20

... Barnes’ type q-Euler polynomials and multiple twisted Barnes’ type q-Euler Zeta functions Finally, we define multiple twisted Dirichlet’s type q-Euler numbers and polynomials, and give Witt’s type ... twisted q-q-Euler polynomials at negative integers and investigate some characterizations of them InSection 4, we construct the multiple twisted Barnes’ type q-Euler polynomials and multiple twisted ... multiple twisted Barnes’ type q-Euler polynomials at negative integers In Section 5, we define multiple twisted Dirichlet’s type q-Euler numbers and polynomials and give Witt’s type formula for them

Ngày tải lên: 21/06/2014, 22:20

... the body silhouette and pose spaces by constructing low-dimensional silhouettes and poses manifolds, establishing intermanifold mappings, and performing tracking in such manifolds using a particle ... Motion in Silhouette and Pose Manifolds Feng Guo 1 and Gang Qian 1, 2 1 Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-9309, USA 2 Arts, Media and Engineering Program, ... synthetic and real videos Copyright © 2008 F Guo and G Qian This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and

Ngày tải lên: 21/06/2014, 22:20

... Cvetkovi´c, Doob, andSachs [9] , and the comprehensive text about distance-regular graphs of Brouwer,Cohen and Neumaier [5] (See also the surveys of Cvetkovi´c and Doob [8] andSchwenk and Wilson[38].) ... of Haemers and Van Dam, [12] , and Garriga,Yebra, and the author[17] ,[18],[20],[21], and also the recent theses of Van Dam[10], Garriga[23] and Rodr´ıguez[37] In their study, Garriga and the author ... of Alon and Milman[1] , Biggs [3] , Chung et.al [7] ,[6] , Van Dam and Haemers [11] , Delorme andSol´e[13] , Kahale [31] , Mohar[32] , Quenell [36] , Sarnak [39] , and Garriga, Yebra,and the

Ngày tải lên: 07/08/2014, 06:20

... Euler polynomials at rational arguments in terms of the polynomials Pn and Qn (Theorem 6.1), and use them together with the computations of §3 to find En(p/q) for 0≤ p ≤ q and q = 2, 3, 4 and 6 ... express the values of Euler polynomials at any rational argument in terms of Pn and Qn, and from this deduce formulas for Springer and Shanks numbers in terms of Euler polynomials. 1 Introduction ... occur as values of the Pn and Qn For example, Pn(0) and Qn(0) are respectively the nth tangent and secant numbers, while P n (0) + Q n (0) is the nth Andr´ e number The Andr´ e numbers, along with

Ngày tải lên: 07/08/2014, 06:20

... N the denominator in the right–hand side vanishes).On the other hand, the expression in the right–hand side of (1.14) is a particular case of that in the right–hand side of (1.13): here π is the ... projection, can be defined as follows: if s, s1, s2 ∈ S(n − 1) and (n − 1, n) stands for the elementary transposition of “n −1” and “n”, then s 7→ s and s1 ·(n−1, n)·s2 7→ s1s2 In other words, the canonical ... simplices, and the Poisson integral representationleads to certain Selberg–type integrals.3 Our construction relies on the so–called shifted (or factorial) versions of Schur’s S and P functions and

Ngày tải lên: 07/08/2014, 06:20

... (3.3), and (3.4) show that A [m] C 0 {z e } E 0
is satisfied by the identities (3.2) and (3.3), and identity (3.4) satisfies condition 3 in Trang 11As an immediate application of Proposition 14 and ... notation and the various enumerators, by presenting the MacWilliams identities [8] as well as their generalisations by Kløve [6] and Shiromoto [11] The two main results of this section, Theorems 3 and ... to be equivalent to each other and to the ‘Critical Theorem’ by Crapo and Rota [4] The main tool is a generalisation of the characterisation of Tutte-Groethendieck polynomials due to Brylawski

Ngày tải lên: 07/08/2014, 06:23

... permutations were introduced and studied by Billey and Warrington [BW] as a class of elements of the symmetric group whose Kazhdan-Lusztig, Poincar´e polynomials, and the singular loci of whose ... [SS]) and for τ1 ∈ S3 and τ2 ∈ S4 (see [W]) For τ1, τ2 ∈ S4 the classification into Wilf classes has been completed and enumeration formulae are known for many Wilf classes exact (see [Bo1, Km] and ... [Kn]) Trang 3Billey and Warrington [BW] introduced the 321-4-gon-avoiding (or 321-hexagon-avo-iding) permutations as a class in S n whose Kazhdan-Lusztig and Poincar´e polynomials, and the singular

Ngày tải lên: 07/08/2014, 07:21

... techniques of Bandlow and Killpatrick [2] and Bandlow, Egge, andKillpatrick [1] to compute this bijection directly To define our bijection, we first need to introduce some notation For all n ≥ 0 and all ... For other results involving S(132) and continued fractions or Chebyshev polynomials, see [15]and the references therein Trang 3Permutations which avoid 1243 and 2143 are known to have many properties ... enumerations andgenerating functions for permutations which avoid 1243, 2143, and certain additionalpatterns We also give generating functions for permutations which avoid 1243 and 2143 and contain

Ngày tải lên: 07/08/2014, 07:21

... that R P is standard was given in [13] This paper is structured as follows Section 2 includes the necessary definitions and background on convex polytopes and their triangulations and h ∗-vectors ... contain v and hence is pure (m − n)-dimensional and shellable (see Lemma 8.10 and Theorem 8.12 in Lemma 3.3 Suppose that P = conv {v1, v2, , v p} Let Σ = conv{v1, v2, , v n} and ∆ be the ... defined by (3) and h ∗ (P ) = (h ∗0, h ∗1, , h ∗ m ) then h ∗ i ≥ h ∗ m−i for 0 ≤ i ≤ bm/2c and h ∗ bm/2c ≥ h ∗ bm/2c+1 ≥ · · · ≥ h ∗ m = 0. Trang 84 Order polytopes and Eulerian polynomialsLet

Ngày tải lên: 07/08/2014, 08:22

... posets, unimodality of W -polynomialsand the Charney-Davis Conjecture Petter Br¨ and´ en∗ Chalmers University of Technology and G¨oteborg University S-412 96 G¨oteborg, Sweden branden@math.chalmers.se ... p−r−1−i (P, ) for all i, and the symmetry follows The relationship between the W -polynomials of (P, ) and (P, µ) follows from Theorem 2.2 and the expansion of order-polynomials in the basis ... saturated and sign-graded with the same rank function and rank as (P, ω) The W -polynomials of anti-chains are the Eulerian polynomials, which have real nonneg-ative zeros only By Propositions 3.3 and

Ngày tải lên: 07/08/2014, 08:22

... of the function better than spline Polynomial multiplication and division (convolution and deconvolution) are performed by the conv and deconv functions MATLAB also has a built-in fast Fourier ... closed form, and the last example cannot be solved by int at all It can only be computed numerically, with quad 121 The function f provided to quad and quadl must operate on a vector x and return ... of the vector An optional fourth argument to quad and quadl modifies the error tolerance Double and triple integrals are evaluated by dblquad and triplequad Arrayvalued functions are integrated...

Ngày tải lên: 29/09/2013, 22:20

... topology and commutative algebra are provided Contents Introduction and the main problems PART I Shifted skew diagrams and graph ideals 2.1 Shifted diagrams and skew diagrams 2.2 Graphs and ... these ideals, and indicate how to compute their Krull dimension and projective dimension Part II investigates a different generalization of the Ferrers graph’s and threshold graph’s edge ideals, ... diagrams and graph ideals Shifted diagrams and skew diagrams We begin with some terminology for diagrams in the shifted plane that are perhaps not so standard in commutative algebra, but fairly standard...

Ngày tải lên: 08/08/2014, 01:20

... ⊂ Tα , and u({0} × R) ⊂ Tβ , which are asymptotic to x and y as t → −∞ and +∞, in the following sense There is a real number T > and sections ξ− ∈ Lp [0, 1] × (−∞, −T ], Tx Symg (Σ) 1,δ and ξ+ ... to the α, in the sense that for all i and j, #(αi ∩ γj ) = δi,j (the right-hand side is Kronecker delta, and the left-hand side denotes both the geometric and algebraic intersection numbers of ... manifold is Symg (Σ) and the submanifolds playing the role of the Lagrangians are tori Tα = α1 ×· · ·×αg and Tβ = β1 ×· · ·×βg These tori are half-dimensional totally real submanifolds with respect...

Ngày tải lên: 05/03/2014, 23:20

... counselor -no fees -it is Sunday you know," and I held out my hand The girl smiled and I smiled; and then, he smiled and grasped my hand We sat down and I talked about idealizing things as they ... illusionary shirts, handle illusionary money, use and depend upon ten thousand illusionary things and live upon an illusionary earth I hold that matter is existent and that it is very unwise and detrimental ... suns thousands of millions of millions of miles apart There is no density of matter to hinder the manifestation of your ideals and desires Since you, your ideals and desires are of God, and since...

Ngày tải lên: 07/03/2014, 20:20