Polynomials

The limits of current micro-scale technology is approaching rapidly. As the technology is going toward nano-scale devices, physical phenomena involved are fundamentally different from micro-scale ones. Principles in classical physics are no longer powerful enough to explicate the phenomena involved in nano-scale devices. At this stage, quantum mechanic sheds some light on those topics which cannot be described by classical physics. The primary focus of this research work is the development of an analysis technique for understanding the behavior of strongly perturbed harmonic oscillators.

165p runthenight07 01-03-2023 6 3   Download

Model Predictive Control (MPC) refers to a class of algorithms that optimize the future behavior of the plant subject to operational constraints. The merits of the class algorithms include its ability to handle imposed hard constraints on the system and perform on-line optimization. This thesis investigates design and implementation of continuous time model predictive control using Laguerre polynomials and extends the design approaches proposed in to include intermittent predictive control, as well as to include the case of the nonlinear predictive control.

162p runthenight07 01-03-2023 9 4   Download

Mục đích của luận văn là trình bày lại kết quả về biểu diễn đa thức không âm trên dải [0, 1]×R. Kết quả này được viết trong bài báo: Marshall M. (2010), "Polynomials non-negative on a strip", Proc. Amer. Math. Soc., 138, 1559–1567 và được mở rộng trong bài báo Nguyen H. and Powers V. (2012), "Polynomials non-negative on strips and half-strips", J. Pure Appl. Algebra, 216, 2225–2232.

44p badbuddy10 21-04-2022 12 3   Download

Mục đích của luận văn là trình bày lại kết quả của P. H. Quý trong bài báo "On the uniform bound of the index of reducibility of parameter ideals of a module whose polynomial type is at most one". Kết quả khẳng định nếu M là R-môđun hữu hạn sinh sao cho p(M) ≤ 1 thì irM(q M) bị chặn trên với mọi iđêan tham số q của M.

40p capheviahe26 02-02-2021 48 3   Download

In this paper, we present a novel global protein-protein interaction network alignment algorithm, which is enhanced with an extended large neighborhood search heuristics. Evaluated on benchmark datasets of yeast, fly, human and worm, the proposed algorithm outperforms state-of-the-art algorithms. Furthermore, the complexity of ours is polynomial, thus being scalable to large biological networks in practice.

11p tamynhan4 06-09-2020 14 4   Download

The main results and new points of this thesis are: The effective emissivity of the diffuse and isothermal cylindrical - inner - cone cavity has been calculated using the polynomial interpolation technique for the angle factor integrals describing the radiation exchange inside the cavity. The interpolation - calculated results are approximately accurate in comparison with those obtained by the analytical methods. This approach is a rather new in the practice of cavity effective emissivity calculation.

14p xacxuoc4321 08-07-2019 35 4   Download

Bài 7 - Đường cong trong không gian - 3D Curve. Bài giảng trình bày có những nội dung chính sau: Đường cong - Curve, polynomial parametric curves, tính chất cả đường cong bậc 3, đường cong đa thức bậc ba, đường cong Hermite, đường cong Bezier,... Mời các bạn cùng tham khảo.

11p tieu_vu16 03-01-2019 60 5   Download

Bài giảng trình bày có những nội dung chính sau: Đường cong - Curve, polynomial parametric curves, tính chất cả đường cong bậc 3, đường cong đa thức bậc ba, đường cong Hermite, đường cong Bezier,... Mời các bạn cùng tham khảo.

7p tieu_vu16 03-01-2019 59 7   Download

(BQ) The study sheds light on the powerful learning capability of ANFIS models and its superiority over the conventional polynomial models in terms of modelling complex non-linear machining processes

15p xuanphuongdhts 27-03-2017 42 2   Download

Bài giảng "Đường cong trong không gian 3D Curve" cung cấp cho người học các kiến thức: Đường cong - Curve, phân loại, Polynomial Parametric Curve, tính chất đường cong bậc 3, đường cong đa thức bậc ba, đường cong tham chiếu,... Đây là một tài liệu hữu ích dành cho các bạn sinh viên Công nghệ thông tin và Thiết kế đồ họa dùng làm tài liệu học tập và nghiên cứu.

11p nhasinhaoanh_08 13-10-2015 109 5   Download

Bài giảng "Đường cong trong không gian 3D Curve" cung cấp cho người học các kiến thức: Đường cong - Curve, phân loại, Polynomial Parametric Curve, tính chất của đường cong bậc 3, đường cong đa thức bậc ba, các loại đường cong trong đồ họa,... Đây là một tài liệu hữu ích dành cho các bạn sinh viên Công nghệ thông tin và Thiết kế đồ họa dùng làm tài liệu học tập và nghiên cứu.

7p nhasinhaoanh_08 13-10-2015 62 3   Download

An important chapter in the theory of distribution of zeros of entire functions pertains to the study of linear operators acting on entire functions. This dissertation presents new results involving not only linear, but also some non-linear operators.

104p caubeitnhnghich29 06-03-2014 69 9   Download

Title Absurd prices Cheating or Not Counterattack Field Plan Hacking Last Minute Constructions Lineup Polynomial Estimates Soccer Bets The Two-ball Game To score or not to score.

17p sakuraphuong 27-05-2013 61 9   Download

We study unitary random matrix ensembles of the form −1 Zn,N | det M |2α e−N Tr V (M ) dM, where α −1/2 and V is such that the limiting mean eigenvalue density for n, N → ∞ and n/N → 1 vanishes quadratically at the origin. In order to compute the double scaling limits of the eigenvalue correlation kernel near the origin, we use the Deift/Zhou steepest descent method applied to the Riemann-Hilbert problem for orthogonal polynomials on the real line with respect to the weight |x|2α e−N V (x) . ...

42p dontetvui 17-01-2013 73 7   Download

We prove that if f (x) = n−1 ak xk is a polynomial with no cyclotomic k=0 factors whose coefficients satisfy ak ≡ 1 mod 2 for 0 ≤ k 1 + log 3 , 2n resolving a conjecture of Schinzel and Zassenhaus [21] for this class of polynomials. More generally, we solve the problems of Lehmer and Schinzel and Zassenhaus for the class of polynomials

21p noel_noel 17-01-2013 52 6   Download

Annals of Mathematics In this paper we will solve one of the central problems in dynamical systems: Theorem 1 (Density of hyperbolicity for real polynomials). Any real polynomial can be approximated by hyperbolic real polynomials of the same degree. Here we say that a real polynomial is hyperbolic or Axiom A, if the real line is the union of a repelling hyperbolic set, the basin of hyperbolic attracting periodic points and the basin of infinity.

39p noel_noel 17-01-2013 49 5   Download

D. Mumford conjectured in [33] that the rational cohomology of the stable moduli space of Riemann surfaces is a polynomial algebra generated by certain classes κi of dimension 2i. For the purpose of calculating rational cohomology, one may replace the stable moduli space of Riemann surfaces by BΓ∞ , where Γ∞ is the group of isotopy classes of automorphisms of a smooth oriented connected surface of “large” genus. Tillmann’s theorem [44] that the plus construction makes BΓ∞ into an infinite loop space led to a stable homotopy version of Mumford’s conjecture, stronger than the original [24]. .

100p noel_noel 17-01-2013 39 7   Download

We prove the topological (or combinatorial) rigidity property for real polynomials with all critical points real and nondegenerate, which completes the last step in solving the density of Axiom A conjecture in real one-dimensional dynamics. Contents 1. Introduction 1.1. Statement of results 1.2. Organization of this work 1.3. General terminologies and notation 2. Density of Axiom A follows from the Rigidity Theorem 3. Derivation of the Rigidity Theorem from the Reduced Rigidity Theorem

94p noel_noel 17-01-2013 47 8   Download

Let E be the set of N equidistant points in (−1, 1) and Pn (E) be the set of all polynomials P of degree ≤ n with max{|P (ζ)|, ζ ∈ E} ≤ 1. We prove that π Kn,N (x) = max |P (x)| ≤ C log , √ N P ∈Pn (E) arctan n r2 − x2 |x| ≤ r := 1 − n2 /N 2 where n

35p noel_noel 17-01-2013 45 6   Download

Obviously, (1.2) implies the same estimate for M(Z(QN, P)). It was suggested in [2] that in this case the (1+logN) term could be omitted at the cost of multiplying by a constant. The above suggestion means that in the passage from the sum of moduli to the modulus of the sum in (1.1) essential cancellation should take place. As a contribution towards this end the authors showed that any straight line L intersects Z(QN, P) in a set FP of linear measure less than 2eP−1N. Further information about the complement of FP under certain conditions on {zk} is obtained in [1].

21p noel_noel 17-01-2013 39 8   Download