Увійти

Готові списки джерел за темами / Jacobi B / Статті в журналах

Статті в журналах з теми "Jacobi B"

Щоб переглянути інші типи публікацій з цієї теми, перейдіть за посиланням: Jacobi B.

Автор: Grafiati

Опубліковано: 30 травня 2022

Оновлено: 31 травня 2022

Оформте джерело за APA, MLA, Chicago, Harvard та іншими стилями

Оберіть тип джерела:

Ознайомтеся з топ-50 статей у журналах для дослідження на тему "Jacobi B".

Біля кожної праці в переліку літератури доступна кнопка «Додати до бібліографії». Скористайтеся нею – і ми автоматично оформимо бібліографічне посилання на обрану працю в потрібному вам стилі цитування: APA, MLA, «Гарвард», «Чикаго», «Ванкувер» тощо.

Також ви можете завантажити повний текст наукової публікації у форматі «.pdf» та прочитати онлайн анотацію до роботи, якщо відповідні параметри наявні в метаданих.

Переглядайте статті в журналах для різних дисциплін та оформлюйте правильно вашу бібліографію.

1

Eberlein, P. J., and Haesun Park. "Efficient implementation of Jacobi algorithms and Jacobi sets on distributed memory architectures." Journal of Parallel and Distributed Computing 8, no. 4 (April 1990): 358–66. http://dx.doi.org/10.1016/0743-7315(90)90134-b.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

2

Dutta, Rajdeep, Ranjan Ganguli, and V. Mani. "Exploring isospectral spring–mass systems with firefly algorithm." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2135 (June 22, 2011): 3222–40. http://dx.doi.org/10.1098/rspa.2011.0119.

Повний текст джерела

Анотація:

This paper investigates in-line spring–mass systems ( A n ), fixed at one end and free at the other, with n -degrees of freedom (d.f.). The objective is to find feasible in-line systems ( B n ) that are isospectral to a given system. The spring–mass systems, A n and B n , are represented by Jacobi matrices. An error function is developed with the help of the Jacobi matrices A n and B n . The problem of finding the isospectral systems is posed as an optimization problem with the aim of minimizing the error function. The approach for creating isospectral systems uses the fact that the trace of two isospectral Jacobi matrices A n and B n should be identical. A modification is made to the diagonal elements of the given Jacobi matrix ( A n ), to create the isospectral systems. The optimization problem is solved using the firefly algorithm augmented by a local search procedure. Numerical results are obtained and resulting isospectral systems are shown for 4 d.f. and 10 d.f. systems.

Стилі APA, Harvard, Vancouver, ISO та ін.

3

Allaway, Wm R. "Convolution Orthogonality and the Jacobi Polynominals." Canadian Mathematical Bulletin 32, no. 3 (September 1, 1989): 298–308. http://dx.doi.org/10.4153/cmb-1989-043-2.

Повний текст джерела

Анотація:

AbstractLet α and β be any two real numbers and let be the Jacobi polynomial sequences. For any non-zero real number a, is an orthogonal polynomial sequence with respect to convolution if and only if either (i) b = 1, α = 0 and β + 1 is not equal to a negative integer or (ii) b = — 1, β = 0 and α + 1 is not equal to a negative integer.

Стилі APA, Harvard, Vancouver, ISO та ін.

4

Zhou, Ting, and Shi Guang Zhang. "Comparison Results between Jacobi and USSOR Iterative Methods." Advanced Materials Research 989-994 (July 2014): 1790–93. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.1790.

Повний текст джерела

Анотація:

In this paper, some comparison results between Jacobi and USSOR iteration for solving nonsingular linear systems are presented. It is showed that spectral radius of Jacobi iteration matrix B is less than that of USSOR iterative matrix under some conditions. A numerical example is also given to illustrate our results.

Стилі APA, Harvard, Vancouver, ISO та ін.

5

Rababah, Abedallah. "Integration of Jacobi and Weighted Bernstein Polynomials Using Bases Transformations." Computational Methods in Applied Mathematics 7, no. 3 (2007): 221–26. http://dx.doi.org/10.2478/cmam-2007-0013.

Повний текст джерела

Анотація:

AbstractThis paper presents methods to compute integrals of the Jacobi polynomials by the representation in terms of the Bernstein — B´ezier basis. We do this because the integration of the Bernstein — B´ezier form simply corresponds to applying the de Casteljau algorithm in an easy way. Formulas for the definite integral of the weighted Bernstein polynomials are also presented. Bases transformations are used. In this paper, the methods of integration enable us to gain from the properties of the Jacobi and Bernstein bases.

Стилі APA, Harvard, Vancouver, ISO та ін.

6

Guadalupe, JoséJ, Mario Pérez, and Juan L. Varona. "Weak behaviour of Fourier-Jacobi series." Journal of Approximation Theory 61, no. 2 (May 1990): 222–38. http://dx.doi.org/10.1016/0021-9045(90)90005-b.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

7

Ostergaard, Misty, Vincent Pigno, and Christopher Pinner. "Evaluating prime power Gauss and Jacobi sums." Tamkang Journal of Mathematics 48, no. 3 (September 30, 2017): 227–40. http://dx.doi.org/10.5556/j.tkjm.48.2017.1866.

Повний текст джерела

Анотація:

We show that for any mod $p^m$ characters, $\chi_1, \dots, \chi_k,$ with at least one $\chi_i$ primitive mod $p^m$, the Jacobi sum, $$ \mathop{\sum_{x_1=1}^{p^m}\dots \sum_{x_k=1}^{p^m}}_{x_1+\dots+x_k\equiv B \text{ mod } p^m}\chi_1(x_1)\cdots \chi_k(x_k), $$ has a simple evaluation when $m$ is sufficiently large (for $m\geq 2$ if $p\nmid B$). As part of the proof we give a simple evaluation of the mod $p^m$ Gauss sums when $m\geq 2$ that differs slightly from existing evaluations when $p=2$.

Стилі APA, Harvard, Vancouver, ISO та ін.

8

Stoykova, Kristalina, Vyara Idakieva, Marin Ivanov, and Daniela Reháková. "Calcareous nannofossil and ammonite integrated biostratigraphy across the Jurassic – Cretaceous boundary strata of the Kopanitsa composite section (West Srednogorie Unit, southwest Bulgaria)." Geologica Carpathica 69, no. 2 (April 1, 2018): 199–219. http://dx.doi.org/10.1515/geoca-2018-0012.

Повний текст джерела

Анотація:

AbstractCalcareous nannofossil, calpionellid and ammonite occurrences have been directly constrained across the Jurassic–Cretaceous boundary interval in the section of Kopanitsa, SW Bulgaria. This section reveals a continuous and expanded sedimentary record through the Upper Tithonian and Lower Berriasian, besides an excellent calcareous nannofossil and ammonite record. The topmost part of the NJT 16b and the base of NJT 17a nannofossil Subzones correspond to the ammonite Microcanthum / Transitorius Subzone. The major part of the NJT 17a Subzone equates to the Durangites spp. ammonite Zone, whereas the NJT 17b Subzone correlates to the lower part of the B. jacobi ammonite Zone. The NKT nannofossil Zone approximately corresponds to the upper part of the B. jacobi Zone and the NK-1 nannofossil Zone correlates at least to the lowest part of the T. occitanica Zone. The FOs ofNannoconus globulus minor, N. wintereri, N. kamptneri minor, N. steinmannii minor, N. kamptneri kamptneriandN. steinmannii steinmanniiare confirmed as reliable bio-horizons for correlations in the Mediterranean Tethys area. The first occurrence ofNannoconus wintereriis regarded as an almost concomitant event with the first occurrence ofBerriasella jacobi. We suggest it could be the most useful nannofossil proxy for approximating the base of the B. jacobi Zone. Rare, but relatively well preserved calpionellids and calcareous dinoflagellates together with microfacies analysis were used additionally for stratigraphical and palaeoenvironmental interpretations. The investigated sediments are typical for the steep slope of a steepened ramp, with accumulation of hemipelagic and gravitational deposits.

Стилі APA, Harvard, Vancouver, ISO та ін.

9

Liu, Chengzhi, Juncheng Li, and Lijuan Hu. "Jacobi–PIA algorithm for bi-cubic B-spline interpolation surfaces." Graphical Models 120 (March 2022): 101134. http://dx.doi.org/10.1016/j.gmod.2022.101134.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

10

SOULIER-PERKINS, ADELINE, and GERNOT KUNZ. "Revision of the malagassy endemic genus Amberana Distant (Hemiptera, Cercopidae) with description of one new genus." Zootaxa 3156, no. 1 (January 10, 2012): 1. http://dx.doi.org/10.11646/zootaxa.3156.1.1.

Повний текст джерела

Анотація:

The genus Amberana Distant is revised. Three new species, A. attei Soulier-Perkins sp. n., A. ouvrardi Soulier-Perkinssp. n. and A. pascali Soulier-Perkins sp. n. are described. Lectotypes are designated for A. dimidiata (Signoret, 1960), A.fissurata Jacobi, 1917, A. noualhieri (Lallemand, 1920), A. sexguttata (Melichar, 1915) and A. uncinata Jacobi, 1917. Am-berana tripunctata var. completa Lallemand, 1949 and A. tripunctata Lallemand, 1920 are synonymised with A. bergevini(Lallemand, 1920). A new genus, Bourgoinrana Soulier-Perkins gen. n., is erected for B. perinetana (Synave, 1957),comb. n. (type species), B. rubescens (Synave, 1957), comb. n. and B. sandrangatensis (Synave, 1957), comb. n. Keysto species of Amberana and Bourgoinrana Soulier-Perkins gen. n. are provided. Drawings of the male genitalia for all species with exception of A. lemuria (Distant, 1908) are included.

Стилі APA, Harvard, Vancouver, ISO та ін.

11

ASAI, NOBUHIRO, IZUMI KUBO, and HUI-HSIUNG KUO. "THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 16, no. 02 (June 2013): 1350010. http://dx.doi.org/10.1142/s0219025713500100.

Повний текст джерела

Анотація:

An MRM-triple (h(x), ρ(t), B(t)) gives a generating function B(t)h(ρ(t)x) of some orthogonal polynomials on ℝ. In particular, B(t)h(tx) is called the Brenke type.19 In this paper, we shall determine all MRM-triples and associated Jacobi-Szegö parameters of this type with showing very careful computations in detail. (h(x), t, B(t)) is classified into four categories. In any case, h(x) and B(t) can be expressed in terms of two kinds of q-hypergeometric series, old basic and basic hypergeometric series, rΦs and rϕs, respectively. As examples, our results contain generating functions of the Al-Salam-Carlitz (I and II), little q-Laguerre, q-Laguerre, and discrete q-Hermite (I and II) polynomials. Our results are more complete and general than those of Refs. 20 and 21 by Chihara. The following are special cases of our results in each class. Here {αn, ωn} are the Jacobi-Szegö parameters. [Formula: see text]

Стилі APA, Harvard, Vancouver, ISO та ін.

12

Kingdon, R., and P. Vaníček. "Poisson Downward Continuation Solution by the Jacobi Method." Journal of Geodetic Science 1, no. 1 (March 1, 2011): 74–81. http://dx.doi.org/10.2478/v10156-010-0009-0.

Повний текст джерела

Анотація:

Poisson Downward Continuation Solution by the Jacobi MethodDownward continuation is a continuing problem in geodesy and geophysics. Inversion of the discrete form of the Poisson integration process provides a numerical solution to the problem, but because the B matrix that defines the discrete Poisson integration is not always well conditioned the solution may be noisy in situations where the discretization step is small and in areas containing large heights. We provide two remedies, both in the context of the Jacobi iterative solution to the Poisson downward continuation problem. First, we suggest testing according to the upward continued result from each solution, rather then testing between successive solutions on the geoid, so that choice of a tolerance for the convergence of the iterative method is more meaningful and intuitive. Second, we show how a tolerance that reflects the conditioning of the B matrix can regularize the solution, and suggest an approximate way of choosing such a tolerance. Using these methods, we are able to calculate a solution that appears regular in an area of Papua New Guinea having heights over 3200 m, over a grid with 1 arc-minute spacing, based on a very poorly conditioned B matrix.

Стилі APA, Harvard, Vancouver, ISO та ін.

13

Clarke, Frank H., and Vera Zeidan. "Sufficiency and the Jacobi Condition in the Calculus of Variations." Canadian Journal of Mathematics 38, no. 5 (October 1, 1986): 1199–209. http://dx.doi.org/10.4153/cjm-1986-060-5.

Повний текст джерела

Анотація:

Besides stating the problem and the results, we shall give in this section a brief overview of the classical necessary and sufficient conditions in the calculus of variations, in order to clearly situate the contribution of this article.1.1 The problem. We are given an interval [a, b], two points xa, xb in Rn, and a function L (the Lagrangian) mapping [a, b] × Rn × Rn to R. The basic problem in the calculus of variations, labeled (P), is that of minimizing the functionalover some class X of functions x and subject to the constraints x(a) = xa, x(b) = xb. Let us take for now the class X of functions to be the continuously differentiable mappings from [a, b] to Rn; we call such functions smooth arcs.

Стилі APA, Harvard, Vancouver, ISO та ін.

14

Enyew, Tesfaye Kebede. "Second degree generalized Jacobi iteration method for solving system of linear equations." Tamkang Journal of Mathematics 47, no. 2 (June 30, 2016): 179–92. http://dx.doi.org/10.5556/j.tkjm.47.2016.1826.

Повний текст джерела

Анотація:

In this paper, a Second degree generalized Jacobi Iteration method for solving system of linear equations, $Ax=b$ and discuss about the optimal values $a_{1}$ and $b_{1}$ in terms of spectral radius about for the convergence of SDGJ method of $x^{(n+1)}=b_{1}[D_{m}^{-1}(L_{m}+U_{m})x^{(n)}+k_{1m}]-a_{1}x^{(n-1)}.$ Few numerical examples are considered to show that the effective of the Second degree Generalized Jacobi Iteration method (SDGJ) in comparison with FDJ, FDGJ, SDJ.

Стилі APA, Harvard, Vancouver, ISO та ін.

15

Van Assche, Walter. "Compact Jacobi matrices : from Stieltjes to Krein and $M(a, b)$." Annales de la faculté des sciences de Toulouse Mathématiques S5 (1996): 195–215. http://dx.doi.org/10.5802/afst.852.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

16

Goncharov, S. V. "On lower bounds for generalized Lebesgue constants of Fourier-Jacobi sums in $L^p_{\rho}$ spaces." Researches in Mathematics 18 (January 22, 2021): 91. http://dx.doi.org/10.15421/241011.

Повний текст джерела

Анотація:

We obtain lower estimates for the generalized Lebesgue constants of Fourier-Jacobi sums, in the spaces of functions being integrable with the $\rho(t) = (1-t)^A (1+t)^B$ weight, therefore confirming an exactness of known upper estimates.

Стилі APA, Harvard, Vancouver, ISO та ін.

17

Longo, Matteo, та Marc-Hubert Nicole. "The 𝑝-adic variation of the Gross–Kohnen–Zagier theorem". Forum Mathematicum 31, № 4 (1 липня 2019): 1069–84. http://dx.doi.org/10.1515/forum-2018-0129.

Повний текст джерела

Анотація:

Abstract We relate p-adic families of Jacobi forms to big Heegner points constructed by B. Howard, in the spirit of the Gross–Kohnen–Zagier theorem. We view this as a {\mathrm{GL}(2)} instance of a p-adic Kudla program.

Стилі APA, Harvard, Vancouver, ISO та ін.

18

Hirschhorn, Michael, Frank Garvan та Jon Borwein. "Cubic Analogues of the Jacobian Theta Function θ(z, q)". Canadian Journal of Mathematics 45, № 4 (1 серпня 1993): 673–94. http://dx.doi.org/10.4153/cjm-1993-038-2.

Повний текст джерела

Анотація:

AbstractThere are three modular forms a(q), b(q), c(q) involved in the parametrization of the hypergeometric function analogous to the classical θ2(q), θ3(q), θ4(q) and the hypergeometric function We give elliptic function generalizations of a(q), b(q), c(q) analogous to the classical theta-function θ(z, q). A number of identities are proved. The proofs are self-contained, relying on nothing more than the Jacobi triple product identity

Стилі APA, Harvard, Vancouver, ISO та ін.

19

Salas, Alvaro H., S. A. El-Tantawy, and Lorenzo J. H. Martínez. "Approximate Analytical and Numeric Solutions to a Forced Damped Gardner Equation." Scientific World Journal 2022 (May 11, 2022): 1–10. http://dx.doi.org/10.1155/2022/3240918.

Повний текст джерела

Анотація:

In this paper, some exact traveling wave solutions to the integrable Gardner equation are reported. The ansatz method is devoted for deriving some exact solutions in terms of Jacobi and Weierstrass elliptic functions. The obtained analytic solutions recover the solitary waves, shock waves, and cnoidal waves. Also, the relation between the Jacobi and Weierstrass elliptic functions is obtained. In the second part of this work, we derive some approximate analytic and numeric solutions to the nonintegrable forced damped Gardner equation. For the approximate analytic solutions, the ansatz method is considered. With respect to the numerical solutions, the evolution equation is solved using both the finite different method (FDM) and cubic B-splines method. A comparison between different approximations is reported.

Стилі APA, Harvard, Vancouver, ISO та ін.

20

Matinfar, M., and M. Dosti. "Solving Linear Optimal Control Problems Using Cubic B-spline Quasi-interpolation." MATEMATIKA 34, no. 2 (December 2, 2018): 313–24. http://dx.doi.org/10.11113/matematika.v34.n2.817.

Повний текст джерела

Анотація:

In this article, we apply an impressive method for solving linear optimal control problem based on cubic B-spline quasi-interpolation. Hamilton-Jacobi equation are applied to linear optimal control problem convert to systems of first-order equations. The main idea of our scheme is approximation derivative with cubic B-spline quasi-interpolation. This method is straightforward, without restrictive assumptions.The results of scheme are made in pleasant agreement with analytic solutions. The accuracy of the proposed method is demonstrated by absolute error. Our scheme is simple to implement because its algorithm is easy and it's one of the advantages of the proposed method.

Стилі APA, Harvard, Vancouver, ISO та ін.

21

Joseph, K. T., and G. D. Veerappa Gowda. "The Hamilton-Jacobi equation Vt + |Vx| = 0, in the quarter plane." Nonlinear Analysis: Theory, Methods & Applications 18, no. 12 (June 1992): 1147–58. http://dx.doi.org/10.1016/0362-546x(92)90158-b.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

22

Hasanpour, Maryam, Mahmoud Behroozifar, and Nazanin Tafakhori. "Numerical Solution of Fractional Sine-Gordon Equation Using Spectral Method and Homogenization." International Journal of Nonlinear Sciences and Numerical Simulation 20, no. 7-8 (November 18, 2019): 811–22. http://dx.doi.org/10.1515/ijnsns-2018-0339.

Повний текст джерела

Анотація:

AbstractIn this paper, a new method for the numerical solution of fractional sine-Gordon (SG) equation is presented. Our method consists of two steps, in first step: the main equation is converted to a homogeneous one using interpolation. In second step: two-dimensional approximation of functions by shifted Jacobi polynomials is used to reduce the problem into a system of nonlinear algebraic equations. The archived system is solved by Newton’s iterative method. Our method is stated in general case on rectangular [a,b] × [0,T] which is based upon Jacobi polynomial by parameters (α,β). Several test problems are employed and results of numerical experiments are presented and also compared with analytical solutions. Also, we verify the numerical stability of the method, by applying a disturbance in the problem. The obtained results confirm the acceptable accuracy and stability of the presented method.

Стилі APA, Harvard, Vancouver, ISO та ін.

23

Klein, Jan Willem. "Copyist B of the Erasmiana Manuscripts in Gouda Identified." Quaerendo 48, no. 2 (June 21, 2018): 95–105. http://dx.doi.org/10.1163/15700690-12341402.

Повний текст джерела

Анотація:

Abstract In the past I have written about the two copyists of the Gouda Erasmiana manuscripts, indicated by P.S. Allen as Copyist A and Copyist B. The identity of Copyist A has been revealed earlier as Henricus Jacobi Leidensis, a monk in the Stein convent, who was active in the first quarter of the fifteenth century. Copyist B, however—who was active around 1590—remained unknown. Further research brought up a name, which I had encountered earlier, but which I did not relate with the Erasmiana manuscripts. It concerns a monk who lived in Stein, but moved to Amsterdam in 1560, long before Copyst B wrote the manuscripts. And died there. This leads to one conclusion: the parts of the Erasmiana manuscripts written by copyist B, did not originate from the monastery of Stein or from Gouda, but were compiled in Amsterdam.

Стилі APA, Harvard, Vancouver, ISO та ін.

24

Dalla Piazza, Francesco, and Riccardo Salvati Manni. "On the Coble quartic and Fourier–Jacobi expansion of theta relations." International Journal of Mathematics 26, no. 02 (February 2015): 1550019. http://dx.doi.org/10.1142/s0129167x15500196.

Повний текст джерела

Анотація:

In [Q. Ren, S. Sam, G. Schrader and B. Sturmfels, The universal Kummer threefold, Experiment Math.22(3) (2013) 327–362], the authors conjectured equations for the universal Kummer variety in genus 3 case. Although, most of these equations are obtained from the Fourier–Jacobi expansion of relations among theta constants in genus 4, the more prominent one, Coble's quartic, cf. [A. Coble, Algebraic Geometry and Theta Functions, American Mathematical Society Colloquium Publications, Vol. 10 (American Mathematical Society, 1929)] was obtained differently, cf. [S. Grushevsky and R. Salvati Manni, On Coble's quartic, preprint (2012), arXiv:1212.1895] too. The aim of this paper is to show that Coble's quartic can be obtained as Fourier–Jacobi expansion of a relation among theta-constants in genus 4. We get also one more relation that could be in the ideal described in [Experiment Math.22(3) (2013) 327–362].

Стилі APA, Harvard, Vancouver, ISO та ін.

25

Arcoya, David, and Lucio Boccardo. "Regularizing Effect of Two Hypotheses on the Interplay Between Coefficients in Some Hamilton–Jacobi Equations." Advanced Nonlinear Studies 21, no. 2 (March 16, 2021): 251–60. http://dx.doi.org/10.1515/ans-2021-2126.

Повний текст джерела

Анотація:

Abstract We study of the regularizing effect of the interaction between the coefficient of the zero-order term and the lower-order term in quasilinear Dirichlet problems whose model is ∫ Ω M ⁢ ( x , u ) ⁢ ∇ ⁡ u ⋅ ∇ ⁡ φ + ∫ Ω a ⁢ ( x ) ⁢ u ⁢ φ = ∫ Ω b ⁢ ( x ) ⁢ | ∇ ⁡ u | q ⁢ φ + ∫ Ω f ⁢ ( x ) ⁢ φ for all ⁢ φ ∈ W 0 1 , 2 ⁢ ( Ω ) ∩ L ∞ ⁢ ( Ω ) , \int_{\Omega}M(x,u)\nabla u\cdot\nabla\varphi+\int_{\Omega}a(x)u\varphi=\int_{% \Omega}b(x)|\nabla u|^{q}\varphi+\int_{\Omega}f(x)\varphi\quad\text{for all }% \varphi\in W_{0}^{1,2}(\Omega)\cap L^{\infty}(\Omega), where Ω is a bounded open set of ℝ N {\mathbb{R}^{N}} , M ⁢ ( x , s ) {M(x,s)} is a Carathéodory matrix on Ω × ℝ {\Omega\times\mathbb{R}} which is elliptic (that is, M ⁢ ( x , s ) ⁢ ξ ⋅ ξ ≥ α ⁢ | ξ | 2 > 0 {M(x,s)\xi\cdot\xi\geq\alpha|\xi|^{2}>0} for every ( x , s , ξ ) ∈ Ω × ℝ × ( ℝ N ∖ { 0 } ) {(x,s,\xi)\in\Omega\times\mathbb{R}\times(\mathbb{R}^{N}\setminus\{0\})} ) and bounded (that is, | M ⁢ ( x , s ) | ≤ β {|M(x,s)|\leq\beta} for every ( x , s ) ∈ Ω × ℝ {(x,s)\in\Omega\times\mathbb{R}} ), b ⁢ ( x ) ∈ L 2 2 - q ⁢ ( Ω ) {b(x)\in L^{\frac{2}{2-q}}(\Omega)} , 1 < q < 2 {1<q<2} and 0 ≤ a ⁢ ( x ) ∈ L 1 ⁢ ( Ω ) {0\leq a(x)\in L^{1}(\Omega)} . We prove the existence of a weak solution u belonging to W 0 1 , 2 ⁢ ( Ω ) {W_{0}^{1,2}(\Omega)} and to L ∞ ⁢ ( Ω ) {L^{\infty}(\Omega)} when either b ∈ L 2 ⁢ m 2 - q ⁢ ( Ω ) ⁢ for some ⁢ m > N 2 ⁢ and \displaystyle b\in L^{\frac{2m}{2-q}}(\Omega)\text{ for some }m>\frac{N}{2}% \text{ and} (0.1) ∃ Q > 0 ⁢ such that ⁢ | f ⁢ ( x ) | ≤ Q ⁢ a ⁢ ( x ) \displaystyle\exists\,Q>0\text{ such that }|f(x)|\leq Qa(x) or f ∈ L m ⁢ ( Ω ) ⁢ for some ⁢ m > N 2 ⁢ and \displaystyle f\in L^{m}(\Omega)\text{ for some }m>\frac{N}{2}\text{ and} (0.2) ∃ R > 0 ⁢ such that ⁢ | b ⁢ ( x ) | 2 2 - q ≤ R ⁢ a ⁢ ( x ) . \displaystyle\exists\,R>0\text{ such that }|b(x)|^{\frac{2}{2-q}}\leq Ra(x). In addition, we also prove the existence for every f ∈ L 1 ⁢ ( Ω ) {f\kern-1.0pt\in\kern-1.0ptL^{1}(\Omega)} and b ⁢ ( x ) ∈ L 2 2 - q ⁢ ( Ω ) {b(x)\kern-1.0pt\in\kern-1.0ptL^{\frac{2}{2-q}}(\Omega)} satisfying both conditions (0.1) and (0.2) jointly.

Стилі APA, Harvard, Vancouver, ISO та ін.

26

ZIEGLER, THOMAS, PATRICK DAVID, TIM N. ZIEGLER, CUONG T. PHAM, TRUONG Q. NGUYEN, and MINH D. LE. "Morphological and molecular review of Jacob’s Mountain Stream Keelback Opisthotropis jacobi Angel & Bourret, 1933 (Squamata: Natricidae) with description of a sibling species from northern Vietnam." Zootaxa 4374, no. 4 (January 21, 2018): 476. http://dx.doi.org/10.11646/zootaxa.4374.4.2.

Повний текст джерела

Анотація:

New morphological data including hemipenis morphology is provided for Opisthotropis jacobi, a poorly known Mountain Stream Keelback from Vietnam and China, based on three newly collected individuals from Sa Pa (Lao Cai Province) and Tam Dao (Vinh Phuc Province) in northern Vietnam. In addition, morphological data from Vietnam is summarized based on the original description (Angel & Bourret 1933), on the overview book by Bourret (1936) and on a number of smaller, little-known contributions by the latter author along with re-examination of specimens deposited in the herpetological collection of the Muséum national d’Histoire naturelle, Paris. We also sequenced a fragment of the mitochondrial cytochrome b from the newly collected specimens of the Jacob’s Mountain Stream Keelback and performed molecular analyses of new and existing data of the genus. A recently discovered Opisthotropis population from Tay Yen Tu Nature Reserve in Bac Giang Province, northern Vietnam, which at the first glance resembled O. jacobi morphologically, is shown to diverge both genetically and morphologically from the existing species and is herein described as a new species. Opisthotropis voquyi sp. nov. is characterized by the combination of the following characters: internasal not in contact with loreal; one preocular; usually two postoculars; one anterior temporal; one posterior temporal; 7 or 8, rarely 9 supralabials; 25 maxillary teeth; subcaudals 74–86; 15 dorsal scale rows at neck, at midbody and before vent; body scales smooth or only with few faint keels; and dorsal scales being greyish, greyish-brown or brown in preservative, posteriorly more or less edged with pale greyish-brown. Phylogenetically, the new species is supported as a sister taxon to O. jacobi, but the two taxa are approximately 10% divergent based on cytochrome b data.

Стилі APA, Harvard, Vancouver, ISO та ін.

27

Göttsche, L., and D. Zagier. "Jacobi forms and the structure of Donaldson invariants for 4-manifolds with b+ = 1." Selecta Mathematica 4, no. 1 (March 1998): 69–115. http://dx.doi.org/10.1007/s000290050025.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

28

ASAI, NOBUHIRO. "PROBABILITY MEASURES ON ℂ ARISING FROM THE JACOBI–SZEGÖ PARAMETERS FOR CONTINUOUS DUAL HAHN POLYNOMIALS". Infinite Dimensional Analysis, Quantum Probability and Related Topics 14, № 03 (вересень 2011): 361–74. http://dx.doi.org/10.1142/s0219025711004493.

Повний текст джерела

Анотація:

In this paper, we shall construct probability measures on ℂ, which can be expressed by the Mellin convolution product of the modified Bessel functions. Our measures on ℂ are related to the Jacobi–Szegö parameters for the continuous dual Hahn polynomials Sn(x2, a, b, c) under the special choice of parameters a, b, c. This paper contains new materials which go further than our previous results in Ref.7. The most interesting thing is that the Mellin convolution of two modified Bessel functions can again be expressed in terms of the modified Bessel functions, by choosing parameters a, b, c appropriately. The origin of our research in this direction goes back to the Bargmann–Fock representation of the classical non-Gaussian random variables.5–8 Our results would have a potential to be related to the higher powers of creation and annihilation operators acting on a new class of interacting Fock spaces.

Стилі APA, Harvard, Vancouver, ISO та ін.

29

Mizuno, Yoshinori. "Dirichlet series of two variables, real analytic Jacobi–Eisenstein series of matrix index, and Katok–Sarnak type result." Forum Mathematicum 30, no. 6 (November 1, 2018): 1437–59. http://dx.doi.org/10.1515/forum-2017-0119.

Повний текст джерела

Анотація:

Abstract We study a real analytic Jacobi–Eisenstein series of matrix index and deduce several arithmetically interesting properties. In particular, we prove the followings: (a) Its Fourier coefficients are proportional to the average values of the Eisenstein series on higher-dimensional hyperbolic space. (b) The associated Dirichlet series of two variables coincides with those of Siegel, Shintani, Peter and Ueno. This makes it possible to investigate the Dirichlet series by means of techniques from modular form.

Стилі APA, Harvard, Vancouver, ISO та ін.

30

GE, HAO, and HONG QIAN. "ANALYTICAL MECHANICS IN STOCHASTIC DYNAMICS: MOST PROBABLE PATH, LARGE-DEVIATION RATE FUNCTION AND HAMILTON–JACOBI EQUATION." International Journal of Modern Physics B 26, no. 24 (August 28, 2012): 1230012. http://dx.doi.org/10.1142/s0217979212300125.

Повний текст джерела

Анотація:

Analytical (rational) mechanics is the mathematical structure of Newtonian deterministic dynamics developed by D'Alembert, Lagrange, Hamilton, Jacobi, and many other luminaries of applied mathematics. Diffusion as a stochastic process of an overdamped individual particle immersed in a fluid, initiated by Einstein, Smoluchowski, Langevin and Wiener, has no momentum since its path is nowhere differentiable. In this exposition, we illustrate how analytical mechanics arises in stochastic dynamics from a randomly perturbed ordinary differential equation dXt = b(Xt)dt+ϵdWt, where Wt is a Brownian motion. In the limit of vanishingly small ϵ, the solution to the stochastic differential equation other than [Formula: see text] are all rare events. However, conditioned on an occurrence of such an event, the most probable trajectory of the stochastic motion is the solution to Lagrangian mechanics with [Formula: see text] and Hamiltonian equations with H(p, q) = ‖p‖2+b(q)⋅p. Hamiltonian conservation law implies that the most probable trajectory for a "rare" event has a uniform "excess kinetic energy" along its path. Rare events can also be characterized by the principle of large deviations which expresses the probability density function for Xt as f(x, t) = e-u(x, t)/ϵ, where u(x, t) is called a large-deviation rate function which satisfies the corresponding Hamilton–Jacobi equation. An irreversible diffusion process with ∇×b≠0 corresponds to a Newtonian system with a Lorentz force [Formula: see text]. The connection between stochastic motion and analytical mechanics can be explored in terms of various techniques of applied mathematics, for example, singular perturbations, viscosity solutions and integrable systems.

Стилі APA, Harvard, Vancouver, ISO та ін.

31

Rommes, Joost. "Arnoldi and Jacobi-Davidson methods for generalized eigenvalue problems $Ax=\lambda Bx$ with singular $B$." Mathematics of Computation 77, no. 262 (December 10, 2007): 995–1016. http://dx.doi.org/10.1090/s0025-5718-07-02040-6.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

32

Giménez, D., V. Hernández, R. van de Geijn, and A. M. Vidal. "A block Jacobi method on a mesh of processors." Concurrency: Practice and Experience 9, no. 5 (May 1997): 391–411. http://dx.doi.org/10.1002/(sici)1096-9128(199705)9:5<391::aid-cpe259>3.0.co;2-b.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

33

Eisenberg, Julia, and Hanspeter Schmidli. "Optimal Control of Capital Injections by Reinsurance with a Constant Rate of Interest." Journal of Applied Probability 48, no. 03 (September 2011): 733–48. http://dx.doi.org/10.1017/s0021900200008287.

Повний текст джерела

Анотація:

We consider a classical risk model and its diffusion approximation, where the individual claims are reinsured by a reinsurance treaty with deductible b ∈ [0, b̃]. Here b = b̃ means ‘no reinsurance’ and b= 0 means ‘full reinsurance’. In addition, the insurer is allowed to invest in a riskless asset with some constant interest rate m > 0. The cedent can choose an adapted reinsurance strategy {b t } t≥0, i.e. the parameter can be changed continuously. If the surplus process becomes negative, the cedent has to inject additional capital. Our aim is to minimise the expected discounted capital injections over all admissible reinsurance strategies. We find an explicit expression for the value function and the optimal strategy using the Hamilton-Jacobi-Bellman approach in the case of a diffusion approximation. In the case of the classical risk model, we show the existence of a ‘weak’ solution and calculate the value function numerically.

Стилі APA, Harvard, Vancouver, ISO та ін.

34

Kumar, Sandeep, Rajesh K. Pandey, H. M. Srivastava, and G. N. Singh. "A Convergent Collocation Approach for Generalized Fractional Integro-Differential Equations Using Jacobi Poly-Fractonomials." Mathematics 9, no. 9 (April 27, 2021): 979. http://dx.doi.org/10.3390/math9090979.

Повний текст джерела

Анотація:

In this paper, we present a convergent collocation method with which to find the numerical solution of a generalized fractional integro-differential equation (GFIDE). The presented approach is based on the collocation method using Jacobi poly-fractonomials. The GFIDE is defined in terms of the B-operator introduced recently, and it reduces to Caputo fractional derivative and other fractional derivatives in special cases. The convergence and error analysis of the proposed method are also established. Linear and nonlinear cases of the considered GFIDEs are numerically solved and simulation results are presented to validate the theoretical results.

Стилі APA, Harvard, Vancouver, ISO та ін.

35

Eisenberg, Julia, and Hanspeter Schmidli. "Optimal Control of Capital Injections by Reinsurance with a Constant Rate of Interest." Journal of Applied Probability 48, no. 3 (September 2011): 733–48. http://dx.doi.org/10.1239/jap/1316796911.

Повний текст джерела

Анотація:

We consider a classical risk model and its diffusion approximation, where the individual claims are reinsured by a reinsurance treaty with deductible b ∈ [0, b̃]. Here b = b̃ means ‘no reinsurance’ and b= 0 means ‘full reinsurance’. In addition, the insurer is allowed to invest in a riskless asset with some constant interest rate m > 0. The cedent can choose an adapted reinsurance strategy {bt}t≥0, i.e. the parameter can be changed continuously. If the surplus process becomes negative, the cedent has to inject additional capital. Our aim is to minimise the expected discounted capital injections over all admissible reinsurance strategies. We find an explicit expression for the value function and the optimal strategy using the Hamilton-Jacobi-Bellman approach in the case of a diffusion approximation. In the case of the classical risk model, we show the existence of a ‘weak’ solution and calculate the value function numerically.

Стилі APA, Harvard, Vancouver, ISO та ін.

36

Caimmi, R. "Why there are no elliptical galaxies more flattened than E7: Thirty years later." Serbian Astronomical Journal, no. 173 (2006): 13–33. http://dx.doi.org/10.2298/saj0673013c.

Повний текст джерела

Анотація:

Elliptical galaxies are modeled as homeoidally striated Jacobi ellipsoids (Caimmi and Marmo 2005) where the peculiar velocity distribution is anisotropic, or equivalently as their adjoint configurations i.e. classical Jacobi ellipsoids of equal mass and axes, in real or imaginary rotation (Caimmi 2006). Reasons for the coincidence of bifurcation points from axisymmetric to triaxial configurations in both the sequences (Caimmi 2006) contrary to earlier findings (Wiegandt 1982a,b, Caimmi and Marmo 2005) are presented and discussed. The effect of centrifugal support at the ends of the major equatorial axis is briefly outlined. The existence of a lower limit to the attening of elliptical galaxies is investigated in dealing with a number of limiting situations. More specifically, (I) elliptical galaxies are considered as isolated systems, and an allowed region within Ellipsoidland (Hunter and de Zeeuw 1997), related to the occurrence of bifurcation points from ellipsoidal to pear-shaped configurations, is shown to be consistent with observations; (II) elliptical galaxies are considered as embedded within dark matter haloes and, under reasonable assumptions, it is shown that tidal effects from hosting haloes have little inuence on the above mentioned results; (III) dark matter haloes and embedded elliptical galaxies, idealized as a single homeoidally striated Jacobi ellipsoid, are considered in connection with the cosmological transition from expansion to relaxation, by generalizing an earlier model (Thuan and Gott 1975), and the existence of a lower limit to the attening of relaxed (oblate-like) configurations, is established. On the other hand, no lower limit is found to the elongation of relaxed (prolate-like) configurations, and the existence of some sort of instability is predicted, owing to the observed lack of elliptical galaxies more attened or elongated than E7.

Стилі APA, Harvard, Vancouver, ISO та ін.

37

Motornaya, O. V., and V. P. Motornyi. "Generalized Lebesgue Constants and the Convergence of Fourier–Jacobi Series in the Spaces L 1,A,B." Ukrainian Mathematical Journal 66, no. 2 (July 2014): 289–99. http://dx.doi.org/10.1007/s11253-014-0929-4.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

38

Crandall, Michael G., and P. L. Lions. "Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V. Unbounded linear terms and B-continuous solutions." Journal of Functional Analysis 97, no. 2 (May 1991): 417–65. http://dx.doi.org/10.1016/0022-1236(91)90010-3.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

39

NORBURY, J., J. WEI, and M. WINTER. "Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field." European Journal of Applied Mathematics 18, no. 2 (April 2007): 129–51. http://dx.doi.org/10.1017/s0956792507006894.

Повний текст джерела

Анотація:

We consider the following system of equations: where the spatial average ⟨ B ⟩ = 0 and μ > σ > 0. This system plays an important role as a Ginzburg-Landau equation with a mean field in several areas of the applied sciences and the steady-states of this system extend to periodic steady-states with period L on the real line which are observed in experiments. Our approach is by combining methods of nonlinear functional analysis such as nonlocal eigenvalue problems and the variational characterization of eigenvalues with Jacobi elliptic integrals. This enables us to give a complete classification of all stable steady-states for any positive L.

Стилі APA, Harvard, Vancouver, ISO та ін.

40

Hipp, Christian. "Optimal Dividend Payment in De Finetti Models: Survey and New Results and Strategies." Risks 8, no. 3 (September 10, 2020): 96. http://dx.doi.org/10.3390/risks8030096.

Повний текст джерела

Анотація:

We consider optimal dividend payment under the constraint that the with-dividend ruin probability does not exceed a given value α. This is done in most simple discrete De Finetti models. We characterize the value function V(s,α) for initial surplus s of this problem, characterize the corresponding optimal dividend strategies, and present an algorithm for its computation. In an earlier solution to this problem, a Hamilton-Jacobi-Bellman equation for V(s,α) can be found which leads to its representation as the limit of a monotone iteration scheme. However, this scheme is too complex for numerical computations. Here, we introduce the class of two-barrier dividend strategies with the following property: when dividends are paid above a barrier B, i.e., a dividend of size 1 is paid when reaching B+1 from B, then we repeat this dividend payment until reaching a limit L for some 0≤L≤B. For these strategies we obtain explicit formulas for ruin probabilities and present values of dividend payments, as well as simplifications of the above iteration scheme. The results of numerical experiments show that the values V(s,α) obtained in earlier work can be improved, they are suboptimal.

Стилі APA, Harvard, Vancouver, ISO та ін.

41

Kucner, Andrzej. "Geneza nihilizmu a wczesne spory o klasyczny idealizm niemiecki na przełomie XVIII i XIX wieku." Humanistyka i Przyrodoznawstwo, no. 13 (October 7, 2018): 137–48. http://dx.doi.org/10.31648/hip.1366.

Повний текст джерела

Анотація:

W artykule zrekonstruowano i przeanalizowano wczesną fazę sporów o nihilizm. Podstawowym zagadnieniem jest w nim więź między rozwojem nihilizmu a wieloma odmianami niemieckiego idealizmu na przełomie XVIII i XIX wieku. Pierwszą część poświęcono badaniom nad pochodzeniem pojęcia nihilizmu. Część druga dotyczy recepcji filozofii Immanuela Kanta i zwróconych przeciwko niej zarzutów nihilizmu. W trzeciej części autor podejmuje zagadnienie sporu o panteizm. Głównym inspiratorem toczących się wówczas dysput filozoficznych był przede wszystkim F. H. Jacobi. Wszelkim odmianom idealizmu i racjonalizmu usiłował on przeciwstawić własną filozofię wiary (Glaubensphilosophie). W historyczno-filozoficznych dociekaniach podjęto zagadnienie recepcji filozofii B. Spinozy w tradycji niemieckiego oświecenia. Panteizm Spinozy był ważnym źródłem sporów o ateizm i nihilizm.

Стилі APA, Harvard, Vancouver, ISO та ін.

42

Abgrall, R. "Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes." Communications on Pure and Applied Mathematics 49, no. 12 (December 1996): 1339–73. http://dx.doi.org/10.1002/(sici)1097-0312(199612)49:12<1339::aid-cpa5>3.0.co;2-b.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

43

Avram, Florin, Dan Goreac, Juan Li, and Xiaochi Wu. "Equity Cost Induced Dichotomy for Optimal Dividends with Capital Injections in the Cramér-Lundberg Model." Mathematics 9, no. 9 (April 22, 2021): 931. http://dx.doi.org/10.3390/math9090931.

Повний текст джерела

Анотація:

We investigate a control problem leading to the optimal payment of dividends in a Cramér-Lundberg-type insurance model in which capital injections incur proportional cost, and may be used or not, the latter resulting in bankruptcy. For general claims, we provide verification results, using the absolute continuity of super-solutions of a convenient Hamilton-Jacobi variational inequality. As a by-product, for exponential claims, we prove the optimality of bounded buffer capital injections (−a,0,b) policies. These policies consist in stopping at the first time when the size of the overshoot below 0 exceeds a certain limit a, and only pay dividends when the reserve reaches an upper barrier b. An exhaustive and explicit characterization of optimal couples buffer/barrier is given via comprehensive structure equations. The optimal buffer is shown never to be of de Finetti (a=0) or Shreve-Lehoczy-Gaver (a=∞) type. The study results in a dichotomy between cheap and expensive equity, based on the cost-of-borrowing parameter, thus providing a non-trivial generalization of the Lokka-Zervos phase-transition Løkka-Zervos (2008). In the first case, companies start paying dividends at the barrier b*=0, while in the second they must wait for reserves to build up to some (fully determined) b*>0 before paying dividends.

Стилі APA, Harvard, Vancouver, ISO та ін.

44

Merikoski, Jori. "A cubic analogue of the Friedlander–Iwaniec spin over primes." Mathematische Zeitschrift 300, no. 3 (October 27, 2021): 2809–35. http://dx.doi.org/10.1007/s00209-021-02878-5.

Повний текст джерела

Анотація:

AbstractIn 1998 Friedlander and Iwaniec proved that there are infinitely many primes of the form $$a^2+b^4$$ a 2 + b 4 . To show this they used the Jacobi symbol to define the spin of Gaussian integers, and one of the key ingredients in the proof was to show that the spin becomes equidistributed along Gaussian primes. To generalize this we define the cubic spin of ideals of $${\mathbb {Z}}[\zeta _{12}]={\mathbb {Z}}[\zeta _3,i]$$ Z [ ζ 12 ] = Z [ ζ 3 , i ] by using the cubic residue character on the Eisenstein integers $${\mathbb {Z}}[\zeta _3]$$ Z [ ζ 3 ] . Our main theorem says that the cubic spin is equidistributed along prime ideals of $${\mathbb {Z}}[\zeta _{12}]$$ Z [ ζ 12 ] . The proof of this follows closely along the lines of Friedlander and Iwaniec. The main new feature in our case is the infinite unit group, which means that we need to show that the definition of the cubic spin on the ring of integers lifts to a well-defined function on the ideals. We also explain how the cubic spin arises if we consider primes of the form $$a^2+b^6$$ a 2 + b 6 on the Eisenstein integers.

Стилі APA, Harvard, Vancouver, ISO та ін.

45

Azuhata, Takashi. "On the calculation of the units of algebraic number fields." Nagoya Mathematical Journal 101 (March 1986): 181–85. http://dx.doi.org/10.1017/s0027763000000386.

Повний текст джерела

Анотація:

The method to find a system of fundamental units were given by G. F. Voronoi in the case of purely cubic fields (see B. N. Delone and D. K. Faddeev [1]), and by K. K. Biilebic [2] in general case of algebraic number fields except for quadratic fields. But they are rather complicated for direct calculation. On the other hand, in some special cases, units can be calculated by the Jacobi-Perron algorithm which is a generalization of the continued fractional expansion (see, for example, L. Bernstein [3]). In this paper, we will show the new method to calculate a system of independent units by multiplying several numbers. We will give some examples for purely cubic fields in Section 3.

Стилі APA, Harvard, Vancouver, ISO та ін.

46

Huang, Zongyuan, and Detao Zhang. "Optimal Portfolio of Corporate Investment and Consumption Problem under Market Closure: Inflation Case." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/715869.

Повний текст джерела

Анотація:

We present the model of corporate optimal investment with consideration of the influence of inflation and the difference between the market opening and market closure. In our model, the investor has three market activities of his or her choice: investment in project A, investment in project B, and consumption. The optimal strategy for the investor is obtained using the Hamilton-Jacobi-Bellman equation which is derived using the dynamic programming principle. Further along, a specific case, the Hyperbolic Absolute Risk Aversion case, is discussed in detail, where the explicit optimal strategy can be obtained using a very simple and direct method. At the very end, we present some simulation results along with a brief analysis of the relationship between the optimal strategy and other factors.

Стилі APA, Harvard, Vancouver, ISO та ін.

47

Hrivnak, Jiri, and Lenka Motlochova. "ON CONNECTING WEYL-ORBIT FUNCTIONS TO JACOBI POLYNOMIALS AND MULTIVARIATE (ANTI)SYMMETRIC TRIGONOMETRIC FUNCTIONS." Acta Polytechnica 56, no. 4 (August 31, 2016): 283. http://dx.doi.org/10.14311//ap.2016.56.0282.

Повний текст джерела

Анотація:

<p>The aim of this paper is to make an explicit link between the Weyl-orbit functions and the corresponding polynomials, on the one hand, and to several other families of special functions and orthogonal polynomials on the other. The cornerstone is the connection that is made between the one-variable orbit functions of <em>A<sub>1</sub></em> and the four kinds of Chebyshev polynomials. It is shown that there exists a similar connection for the two-variable orbit functions of <em>A<sub>2</sub></em> and a specific version of two variable Jacobi polynomials. The connection with recently studied <em>G<sub>2</sub></em>-polynomials is established. Formulas for connection between the four types of orbit functions of <em>B<sub>n</sub></em> or <em>C<sub>n</sub></em> and the (anti)symmetric multivariate cosine and sine functions are explicitly derived.</p>

Стилі APA, Harvard, Vancouver, ISO та ін.

48

Hrivnak, Jiri, and Lenka Motlochova. "ON CONNECTING WEYL-ORBIT FUNCTIONS TO JACOBI POLYNOMIALS AND MULTIVARIATE (ANTI)SYMMETRIC TRIGONOMETRIC FUNCTIONS." Acta Polytechnica 56, no. 4 (August 31, 2016): 283–90. http://dx.doi.org/10.14311/ap.2016.56.0283.

Повний текст джерела

Анотація:

<p>The aim of this paper is to make an explicit link between the Weyl-orbit functions and the corresponding polynomials, on the one hand, and to several other families of special functions and orthogonal polynomials on the other. The cornerstone is the connection that is made between the one-variable orbit functions of <em>A<sub>1</sub></em> and the four kinds of Chebyshev polynomials. It is shown that there exists a similar connection for the two-variable orbit functions of <em>A<sub>2</sub></em> and a specific version of two variable Jacobi polynomials. The connection with recently studied <em>G<sub>2</sub></em>-polynomials is established. Formulas for connection between the four types of orbit functions of <em>B<sub>n</sub></em> or <em>C<sub>n</sub></em> and the (anti)symmetric multivariate cosine and sine functions are explicitly derived.</p>

Стилі APA, Harvard, Vancouver, ISO та ін.

49

Evans, M. W. "The evans-vigier field,B (3): Derivation of the de Broglie matter-wave equation from the Hamilton-Jacobi equation." Foundations of Physics Letters 8, no. 5 (October 1995): 481–89. http://dx.doi.org/10.1007/bf02186583.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

50

Río, María Guadalupe del, and Analia Lanteri. "Revision of the genus Briarius [Fischer de Waldheim] (Coleoptera: Curculionidae)." Insect Systematics & Evolution 34, no. 3 (2003): 281–94. http://dx.doi.org/10.1163/187631203788964755.

Повний текст джерела

Анотація:

AbstractBriarius [Fischer de Waldheim], senior synonym of Lamprocyphus Marshall, includes some of the most beautiful species of weevils within the Entiminae, Naupactini. It is closely related to Trichaptus Pascoe and according to the present revision has only two species, B. elegans (Roelofs) (new comb.), endemic to northeastern Brazil (Bahía and Espíritu Santo), and B. augustus (Illiger) distributed in northeastern Argentina, Brazil south of the Amazon River, and eastern Paraguay, in tropical and subtropical forests. After the examination of about 700 specimens from several localities we conclude that Briarius augustus is a complex species with population polymorphism (mainly in color vestiture) and geographic variation. Within it we have distinguished four subspecies previously described as species: B. a. augustus (Illiger) (= Cyphus oliveirae Roelofs, new syn.) occurs in Santa Catarina and Paraná on the Serra do Mar (Brazil); B. a. germari (Boheman) ranges from São Paulo to Espirítu Santo (Brazil), along the Atlantic forest; B. a. margaritaceus (Sturm) (= Cyphus consularis Chevrolat, C.. gloriandus Schoenherr, and C. spixi Perty) is distributed from Santa Catarina to Bahía (Brazil); and B. a. varnhageni (Germar) (= Lamprocyphus jacobi Hustache) ranges from Santa Catarina to northeastern Argentina (Misiones) and eastern Paraguay. Subspecies have overlapping ranges on the Serra do Mar (Santa Catarina), where it is possible to see all the variation within B. augustus. This area, same as other coastal hills along the Atlantic forests of Brazil, would have been Pleistocene refuges where species inhabiting rainforests survived and diversified during the dry-warm cycles of this period, however, time since then was probably not enough to achieve reproductive isolation, since individuals of different subspecies of B. augustus were found in copula. The paper includes descriptions and illustrations of the two valid species of the genus, and the subspecies of B. augustus. It also provides dichotomous keys, habitus photographs, illustrations of genitalia, external morphology, and a map of distribution.

Стилі APA, Harvard, Vancouver, ISO та ін.

Ми пропонуємо знижки на всі преміум-плани для авторів, чиї праці увійшли до тематичних добірок літератури. Зв'яжіться з нами, щоб отримати унікальний промокод!