Gotowa bibliografia na temat „Bernoulli number”
Utwórz poprawne odniesienie w stylach APA, MLA, Chicago, Harvard i wielu innych
Spis treści
Zobacz listy aktualnych artykułów, książek, rozpraw, streszczeń i innych źródeł naukowych na temat „Bernoulli number”.
Przycisk „Dodaj do bibliografii” jest dostępny obok każdej pracy w bibliografii. Użyj go – a my automatycznie utworzymy odniesienie bibliograficzne do wybranej pracy w stylu cytowania, którego potrzebujesz: APA, MLA, Harvard, Chicago, Vancouver itp.
Możesz również pobrać pełny tekst publikacji naukowej w formacie „.pdf” i przeczytać adnotację do pracy online, jeśli odpowiednie parametry są dostępne w metadanych.
Artykuły w czasopismach na temat "Bernoulli number"
Chen, Kwang-Wu. "Median Bernoulli Numbers and Ramanujan’s Harmonic Number Expansion". Mathematics 10, nr 12 (12.06.2022): 2033. http://dx.doi.org/10.3390/math10122033.
Pełny tekst źródłaJakimczuk, Rafael. "Sequences related to the e number and Bernoulli numbers". Gulf Journal of Mathematics 11, nr 1 (9.08.2021): 38–42. http://dx.doi.org/10.56947/gjom.v11i1.666.
Pełny tekst źródłaRawlings, Don. "Bernoulli Trials and Number Theory". American Mathematical Monthly 101, nr 10 (grudzień 1994): 948. http://dx.doi.org/10.2307/2975160.
Pełny tekst źródłaRawlings, Don. "Bernoulli Trials and Number Theory". American Mathematical Monthly 101, nr 10 (grudzień 1994): 948–52. http://dx.doi.org/10.1080/00029890.1994.12004573.
Pełny tekst źródłaKaneko, Masanobu. "Poly-Bernoulli numbers". Journal de Théorie des Nombres de Bordeaux 9, nr 1 (1997): 221–28. http://dx.doi.org/10.5802/jtnb.197.
Pełny tekst źródłaGradl, Hans, i Sebastian Walcher. "Bernoulli algebras". Communications in Algebra 21, nr 10 (styczeń 1993): 3503–20. http://dx.doi.org/10.1080/00927879308824745.
Pełny tekst źródłaCaratelli, Diego, Pierpaolo Natalini i Paolo Emilio Ricci. "Fractional Bernoulli and Euler Numbers and Related Fractional Polynomials—A Symmetry in Number Theory". Symmetry 15, nr 10 (10.10.2023): 1900. http://dx.doi.org/10.3390/sym15101900.
Pełny tekst źródłaCRABB, M. C. "THE MIKI-GESSEL BERNOULLI NUMBER IDENTITY". Glasgow Mathematical Journal 47, nr 2 (27.07.2005): 327–28. http://dx.doi.org/10.1017/s0017089505002545.
Pełny tekst źródłaXu, Aimin. "Ramanujan’s Harmonic Number Expansion and Two Identities for Bernoulli Numbers". Results in Mathematics 72, nr 4 (18.09.2017): 1857–64. http://dx.doi.org/10.1007/s00025-017-0748-7.
Pełny tekst źródłaKargın, Levent. "p-Bernoulli and geometric polynomials". International Journal of Number Theory 14, nr 02 (8.02.2018): 595–613. http://dx.doi.org/10.1142/s1793042118500665.
Pełny tekst źródłaRozprawy doktorskie na temat "Bernoulli number"
Chellali, Mustapha. "Congruences, nombres de Bernoulli et polynômes de Bessel". Université Joseph Fourier (Grenoble ; 1971-2015), 1989. http://www.theses.fr/1989GRE10091.
Pełny tekst źródłaWhitaker, Linda M. "The Bernoulli salesman". Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/24935.
Pełny tekst źródłaSmith, Michael J. "Ranking and selection : open sequential procedures for Bernoulli populations". Thesis, Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/25103.
Pełny tekst źródłaMartin, Bruno. "Contribution à la théorie des entiers friables". Phd thesis, Université de Lorraine, 2005. http://tel.archives-ouvertes.fr/tel-00795666.
Pełny tekst źródłaMirkoski, Maikon Luiz. "Números e polinômios de Bernoulli". Universidade Estadual de Ponta Grossa, 2018. http://tede2.uepg.br/jspui/handle/prefix/2699.
Pełny tekst źródłaMade available in DSpace on 2018-11-29T18:07:06Z (GMT). No. of bitstreams: 2 license_rdf: 811 bytes, checksum: e39d27027a6cc9cb039ad269a5db8e34 (MD5) Maikon Luiz.pdf: 959643 bytes, checksum: aaf472f5b8a9a29532793d01234788a9 (MD5) Previous issue date: 2018-10-19
Neste trabalho,estudamos os números e os polinomios de Bernoulli,bem como algumas de suas aplicações mais importantes em Teoria dos Números. Com base em uma caracterização ao simples, os polinômios de Bernoulli são introduzidos e, posteriormente, os números de Bernoulli. As séries de Fourier dos polinomios de Bernoulli são utilizadas na demonstração da equação funcional da função teta. Esta equação, por sua vez, é utilizada na demonstração da celebre equação funcional da função zeta, que tem importância central na teoria da distribuição dos números primos. Além das conexões com a funções especiais zeta e teta, discutimos também, em detalhe,conexões entre os números e os polinomios de Bernoulli com a função gama. Essas relações são então exploradas para produzir belas fórmulas para certos valores da função zeta, entre outras aplicações.
In this work we study Bernoulli numbers and Bernoulli polynomials, as well as some of its most important applications in Number Theory. Based on a simple characterization, the Bernoulli polynomials are introduced and, later, the Bernoulli numbers. The Fourier series of the Bernoulli polynomials are used to demonstrate the functional equation of the theta function. This equation, in turn, is used in the proof of the famous functional equation of the zeta function, which is central to the theory of prime number distribution. In addition to the connections with the special functions zeta and theta, we also discuss, in detail, connections between the Bernoulli numbers and Bernoulli polynomials with the gamma function. These relations are then explored to produce beautiful formulas for certain values of the zeta function,among other applications.
Stacey, Andrew W. "An Adaptive Bayesian Approach to Bernoulli-Response Clinical Trials". CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd2065.pdf.
Pełny tekst źródłaKondo, Pedro Kiochi. "CÁLCULO FINITO: DEMONSTRAÇÕES E APLICAÇÕES". UNIVERSIDADE ESTADUAL DE PONTA GROSSA, 2014. http://tede2.uepg.br/jspui/handle/prefix/1528.
Pełny tekst źródłaCoordenação de Aperfeiçoamento de Pessoal de Nível Superior
In this work some topics of the Discrete or Finite Calculus are developed. In particular, we study difference operators, factorial powers, Stirling numbers of the first and second type, the Newton’s formula of differences, the fundamental theorem of the Finite Calculus, the summation process, and the Bernoulli numbers and Bernoulli polynomials. Then we show the effectiveness of the theory for the calculation of closed formulas for the value of many finite sums. We also study the classical problem of obtaining the polynomials which express the value of the sums of powers of natural numbers.
Neste trabalho desenvolvemos alguns tópicos do Cálculo Discreto ou Finito. Em particular, estudamos operadores de diferenças, potências fatoriais, números de Stirling do primeiro e do segundo tipo, a fórmula de diferenças de Newton, o teorema fundamental do Cálculo Finito, o processo de somação e os números e polinômios de Bernoulli. Mostramos então a eficácia da teoria no cálculo de fórmulas fechadas para o valor de diversas somas finitas. Também estudamos o problema clássico de obter os polinômios que expressam o valor de somas de potências de números naturais.
Perkins, Rudolph Bronson. "On Special Values of Pellarin’s L-series". The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1383827548.
Pełny tekst źródłaChung, Yi-Shiu, i 鍾逸修. "The Calculation and Application of Bernoulli number". Thesis, 2008. http://ndltd.ncl.edu.tw/handle/84502958840518031848.
Pełny tekst źródła國立臺中教育大學
數學教育學系
96
Up to the present, it is an important study for calculating Bernoulli number. There are many different methods to claculate Bernoulli number. But for these methods, we must take lots of steps to calaulate Bernoulli number. Based on this, our research applies Riemann--zeta function and the extended function of the sums of powers of consecutive integers to get an easier method. Then, we will calculate Bernoulli number by using Matlab 7.1, and investigate the relationship between Bernoulli nmuber and Stirling number of second kind. Our results are as follows. 1. The formula of Bernoulli number is B_{2k}=\frac{1}{2k+1} \left \{ C_{2k}^{2k+1}S_{1}^{\prime}(-1) + \sum_{i=1}^{k}C_{2i+1}^{2k+1} S_{2k-2i}^{\prime}(-1) \right \}, k\in N . 2. When $k$ is bigger, Bernoulli number will become bigger and be alternated between plus and minus. 3. The relationship between Bernoulli number and Stirling number of second kind is B_{m+1}=\sum_{k=1}^{m+1}\frac{(-1)^k}{k+1}\cdot k!\cdot S_2(m+1,k).
Liu, Chih Shiuan, i 劉志璿. "The connection between the functions of Riemann zeta and Bernoulli Number". Thesis, 2008. http://ndltd.ncl.edu.tw/handle/17154599310613619902.
Pełny tekst źródła國立臺中教育大學
數學教育學系
96
This research hung over from the extended functions for the sum of powers of consecutive integers, we colleted the literatures of the related research about the functions of Riemann zeta and Bernoulli Number, both newly interpreted and predigested the properties of the functions of Riemann zeta and Bernoulli Number. Thus we built the connection between the functions of Riemann zeta and Bernoulli Number, according to \zeta(2 k)=(-1)^{k-1} 2^{2k-1} \frac{B_{2k} \pi^{2k}}{(2k)!}, \ k \in \mathbb{N},and S_{2k}^{\prime}(-1)=\frac{(-1)^{k-1} (2k)!}{2^{2k-1} (\pi)^{2k}}\zeta(2k), S_{2k+1}^{\prime}(-1)=0,Take the function of Riemann zeta as bridge, we find that S_{2k}^{\prime}(-1)=B_{2k},B_{2k}=\frac{1}{2k+1} \left \{ C_{2k}^{2k+1} S_{1}^{\prime}(-1)+ \sum_{i=1}^{k} C_{2i+1}^{2k+1} S_{2k-2i}^{\prime}(-1) \right \},where $S_k^{\prime}(x)$ denotes the first derivative of $S_k(x)$ for each positive integer $k$.
Książki na temat "Bernoulli number"
1954-, Dilcher Karl, Skula Ladislav i Slavutskiĭ Ilja Sh, red. Bernoulli numbers: Bibliography (1713-1990). Kingston, Ont: Queen's University, 1991.
Znajdź pełny tekst źródłaArakawa, Tsuneo, Tomoyoshi Ibukiyama i Masanobu Kaneko. Bernoulli Numbers and Zeta Functions. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-54919-2.
Pełny tekst źródłaauthor, Ibukiyama Tomoyoshi, Kaneko Masanobu author i Zagier, Don, 1951- writer of supplementary textual content, red. Bernoulli numbers and Zeta functions. Tokyo: Springer, 2014.
Znajdź pełny tekst źródłaKanemitsu, Shigeru. Vistas of special functions. Singapore: World Scientific, 2007.
Znajdź pełny tekst źródłaInvitation to classical analysis. Providence, R.I: American Mathematical Society, 2012.
Znajdź pełny tekst źródłaVistas of Special Functions. World Scientific Publishing Company, 2007.
Znajdź pełny tekst źródłaVorlesungen über die Bernoullischen zahlen: Ihren zusammenhang mit den secanten-coefficienten und ihre wichtigeren anwendungen. Berlin: J. Springer, 1991.
Znajdź pełny tekst źródłaIbukiyama, Tomoyoshi, Masanobu Kaneko, Tsuneo Arakawa i Don B. Zagier. Bernoulli Numbers and Zeta Functions. Springer, 2016.
Znajdź pełny tekst źródłaIbukiyama, Tomoyoshi, Masanobu Kaneko i Tsuneo Arakawa. Bernoulli Numbers and Zeta Functions. Springer, 2014.
Znajdź pełny tekst źródłaFranzosa, Marie M. Densities and dependence for point processes. 1988.
Znajdź pełny tekst źródłaCzęści książek na temat "Bernoulli number"
Ireland, Kenneth, i Michael Rosen. "Bernoulli Numbers". W A Classical Introduction to Modern Number Theory, 228–48. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4757-2103-4_15.
Pełny tekst źródłaSimsek, Yilmaz. "Families of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their Applications". W Analytic Number Theory, Approximation Theory, and Special Functions, 149–214. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-0258-3_6.
Pełny tekst źródłaSándor, J., i B. Crstici. "Stirling, bell, bernoulli, euler and eulerian numbers". W Handbook of Number Theory II, 459–618. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-2547-5_5.
Pełny tekst źródłaIbukiyama, Tomoyoshi, i Masanobu Kaneko. "Class Number Formula and an Easy Zeta Function of the Space of Quadratic Forms". W Bernoulli Numbers and Zeta Functions, 155–82. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-54919-2_10.
Pełny tekst źródłaWagstaff, Samuel S. "Prime Divisors of the Bernoulli and Euler Numbers". W Number Theory for the Millennium III, 357–74. London: A K Peters/CRC Press, 2023. http://dx.doi.org/10.1201/9780138747022-21.
Pełny tekst źródłaIsaacson, Brad. "Generalized Bernoulli Numbers, Cotangent Power Sums, and Higher-Order Arctangent Numbers". W Combinatorial and Additive Number Theory V, 253–61. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-10796-2_12.
Pełny tekst źródłaAdam, David, i Jean-Luc Chabert. "Bhargava’s Exponential Functions and Bernoulli Numbers Associated to the Set of Prime Numbers". W Algebraic, Number Theoretic, and Topological Aspects of Ring Theory, 9–35. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-28847-0_2.
Pełny tekst źródłaChryssaphinou, O., S. Papastavridis i T. Tsapelas. "On the Number of Overlapping Success Runs in a Sequence of Independent Bernoulli Trials". W Applications of Fibonacci Numbers, 103–12. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2058-6_10.
Pełny tekst źródłaIbukiyama, Tomoyoshi, i Masanobu Kaneko. "Bernoulli Numbers". W Bernoulli Numbers and Zeta Functions, 1–24. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-54919-2_1.
Pełny tekst źródłaRibenboim, Paulo. "Bernoulli Numbers". W Classical Theory of Algebraic Numbers, 367–97. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-0-387-21690-4_18.
Pełny tekst źródłaStreszczenia konferencji na temat "Bernoulli number"
Campos, Richard A., Malvin C. Teich i B. E. A. Saleh. "Homodyne photon-number statistics for nonclassical states of light at a lossless beam splitter". W OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.thii6.
Pełny tekst źródłaDelande, E. D., D. E. Clark i J. Houssineau. "Regional variance in target number: Analysis and application for multi-Bernoulli point processes". W IET Conference on Data Fusion & Target Tracking 2014: Algorithms and Applications. Institution of Engineering and Technology, 2014. http://dx.doi.org/10.1049/cp.2014.0531.
Pełny tekst źródłaKuo, Y. L., i W. L. Cleghorn. "Curvature-Based Finite Element Method for Euler-Bernoulli Beams". W ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34213.
Pełny tekst źródłaChih-Wei Yi, Peng-Jun Wan, Xiang-Yang Li i O. Frieder. "Asymptotic distribution of the number of isolated nodes in wireless ad hoc networks with Bernoulli nodes". W WCNC 2003 - IEEE Wireless Communications and Networking Conference. IEEE, 2003. http://dx.doi.org/10.1109/wcnc.2003.1200623.
Pełny tekst źródłaKatariya, Sumeet, Branislav Kveton, Csaba Szepesvári, Claire Vernade i Zheng Wen. "Bernoulli Rank-1 Bandits for Click Feedback". W Twenty-Sixth International Joint Conference on Artificial Intelligence. California: International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/278.
Pełny tekst źródłaIshihata, Masakazu, i Takanori Maehara. "Exact Bernoulli Scan Statistics using Binary Decision Diagrams". W Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. California: International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/795.
Pełny tekst źródłaTeng, Shen, Wang Jiong, Sun Dong, Liu Yafeng i Tian Zhouyu. "Modeling and Numerical Simulation of Flow Resistance Characteristics in Slowly-Varying Rectangular Cross-Section Microchannel". W ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65257.
Pełny tekst źródłaCaddemi, Salvatore, i Ivo Calio`. "Closed Form Buckling Solutions of Euler-Bernoulli Columns With Multiple Singularities". W ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-11168.
Pełny tekst źródłaYong, Yan. "Vibration of Euler-Bernoulli Beams With Arbitrary Boundaries and Intermediate Constraints". W ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0284.
Pełny tekst źródłaNaguleswaran, S. "Vibration of an Euler-Bernoulli Uniform Beam Carrying Several Thin Disks". W ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48361.
Pełny tekst źródłaRaporty organizacyjne na temat "Bernoulli number"
Pengelley, David. Figurate Numbers and Sums of Numerical Powers: Fermat, Pascal, Bernoulli. Washington, DC: The MAA Mathematical Sciences Digital Library, czerwiec 2013. http://dx.doi.org/10.4169/loci003987.
Pełny tekst źródłaKlammler, Harald. Introduction to the Mechanics of Flow and Transport for Groundwater Scientists. The Groundwater Project, 2023. http://dx.doi.org/10.21083/gxat7083.
Pełny tekst źródła