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SUMMATION: 作品数：85被引量：84H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：苏丕波张明沙志彬梁金强张光学更多>>; 相关机构：中国地质大学(武汉)国土资源部国防科学技术大学中国海洋大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家高技术研究发展计划国家社会科学基金更多>>

A Simulated Unified Resultant Amplitude Method for Multi-Dimensional/Multi-Variable Opposite Wave Summation: 《Journal of Applied Mathematics and Physics》2025年第1期281-301,共21页Shawn P. Guillory; The simulated unified resultant amplitude theory studies function and polar graphs of sinusoidal radial waves including the cosine, sine, and summation waves for determining separate combination-wave equations arising...; 关键词：Waves Resultant Amplitude Euler’s Equation Unified Theory Spectral Analysis KINEMATICS

Application of Gaussian Beam Summation Migration in Reflected In-seam Wave Imaging: 《Acta Geologica Sinica(English Edition)》2024年第1期276-284,共9页HAN Jianguang LÜQingtian ZHANG Zhiheng YANG Shun WANG Shuo; supported by the National Natural Science Foundation of China(Grant No.42174157);the CAGS Research Fund(Grant No.JKY202216);the Chinese Geological Survey Project(Grant Nos.DD20230008,DD20233002).; The geological conditions for coal mining in China are complex,with various structural issues such as faults and collapsed columns seriously compromising the safety of coal mine production.In-seam wave exploration is ...; 关键词：reflected in-seam wave Gaussian beam summation migration numerical tests fault

A MULTIPLE q-EXPONENTIAL DIFFERENTIAL OPERATIONAL IDENTITY: 《Acta Mathematica Scientia》2023年第6期2449-2470,共22页刘治国; supported by the National Natural Science Foundation of China (11971173);the Science and Technology Commission of Shanghai Municipality (22DZ2229014).; Using Hartogs’fundamental theorem for analytic functions in several complex variables and q-partial differential equations,we establish a multiple q-exponential differential formula for analytic functions in several ...; 关键词：q-hypergeometric series q-exponential differential operator Bailey's 6b6 summation double q-hypergeometric series q-partial differential equation

Products of Odd Numbers or Prime Number Can Generate the Three Members’ Families of Fermat Last Theorem and the Theorem Is Valid for Summation of Squares of More Than Two Natural Numbers: 《Advances in Pure Mathematics》2023年第10期635-641,共7页Susmita Pramanik Deepak Kumar Das Panchanan Pramanik; Fermat’s last theorem, had the statement that there are no natural numbers A, B, and C such that Aⁿ + Bⁿ = Cⁿ, in which n is a natural number greater than 2. We have shown that any pr...; 关键词：Fermat Last Theorem Generation of Fermat’s Numbers Extension of Fermat’s Expression Fermat’s Expression from Products of Odd Numbers

Reachable set estimation for discrete-time Markovian jump neural networks with unified uncertain transition probability: 《Journal of Automation and Intelligence》2023年第3期167-174,共8页Yufeng Tian Wengang Ao Peng Shi; funded by National Key Research and Development Program of China under Grant 2022YFE0107300;the Chongqing Technology Innovation and Application Development Special Key Project under Grant CSTB2022TIAD-KPX0162;the National Natural Science Foundation of China under Grant U22A20101;the Chongqing Technology Innovation and Application Development Special Key Project under Grant CSTB2022TIAD-CUX0015;the Chongqing postdoctoral innovativetalents support program under Grant CQBX202205;the China Postdoctoral Science Foundation under Grant 2023M730411.; This paper focuses on the reachable set estimation for Markovian jump neural networks with time delay.By allowing uncertainty in the transition probabilities,a framework unifies and enhances the generality and realism...; 关键词：Markovian jump neural networks Unified uncertain transition probabilities Reachable set estimation Double-boundary approach Vector wirtinger-based summation inequality

Some Summation Theorems for Truncated Clausen Series and Applications: 《Analysis in Theory and Applications》2023年第3期244-259,共16页M.I.Qureshi Saima Jabee Dilshad Ahamad; The main aim of this paper is to derive some new summation theorems for terminating and truncated Clausen’s hypergeometric series with unit argument,when one numerator parameter and one denominator parameter are nega...; 关键词：Watson summation theorem Whipple summation theorem Dixon summation theorem Saalschütz summation theorem Truncated series Hypergeometric summation theorems Mellin transforms

Single-frequency upconverted laser generation by phase summation被引量：5: 《High Power Laser Science and Engineering》2023年第2期20-25,共6页Xin Zeng Shuzhen Cui Huawei Jiang Bowen Ruan Xin Cheng Jiaqi Zhou Zhiquan Lin Xuezong Yang Weibiao Chen Yan Feng; The work was partly supported by the National Natural Science Foundation of China(No.62075226).; The phase summation effect in sum-frequency mixing process is utilized to avoid a nonlinearity obstacle in the power scaling of single-frequency visible or ultraviolet lasers.Two single-frequency fundamental lasers ar...; 关键词：high power phase summation single-frequency laser stimulated Brillouin scattering sum-frequency generation

Bi-directional Control of Synaptic Input Summation and Spike Generation by GABAergic Inputs at the Axon Initial Segment: 《Neuroscience Bulletin》2023年第1期1-13,共13页Ziwei Shang Junhao Huang Nan Liu Xiaohui Zhang; supported by the National Natural Science Foundation of China(32130043 and 32071025);the Interdisciplinary Research Fund of Beijing Normal University,China.; Differing from other subtypes of inhibitory interneuron,chandelier or axo-axonic cells form depolarizing GABAergic synapses exclusively onto the axon initial segment(AIS)of targeted pyramidal cells(PCs).However,the de...; 关键词：GABAergic inputs Axon initial segment Synaptic integration Axo-axonic cell Chandelier cell NEURON simulation Dynamic clamp

The Effect of Global Smoothness on the Accuracy of Treecodes: 《Communications in Computational Physics》2022年第10期1332-1360,共29页Henry A.Boateng Svetlana Tlupova; partially supported by the National Science Foundation grant CHE-2016048 and start-up funds from San Francisco State University;partially supported by the National Science Foundation grant DMS-2012371;the Visiting Faculty Program of the U.S.Department of Energy,Office of Science,Office of Workforce Development for Teachers and Scientists(WDTS).; Treecode algorithms are widely used in evaluation of N-body pairwise interactions in O(N)or O(NlogN)operations.While they can provide high accuracy approximations,a criticism leveled at the methods is that they lack g...; 关键词：Fast summation treecode tricubic interpolation

Preventing Pressure Oscillations Does Not Fix Local Linear Stability Issues of Entropy-Based Split-Form High-Order Schemes被引量：1: 《Communications on Applied Mathematics and Computation》2022年第3期880-903,共24页Hendrik Ranocha Gregor J.Gassner; Funded by the Deutsche Forschungsgemeinschaft(DFG,German Research Foundation)under Germany’s Excellence Strategy EXC 2044-390685587;Mathematics Münster:Dynamics-Geometry-Structure.Gregor Gassner is supported by the European Research Council(ERC)under the European Union’s Eights Framework Program Horizon 2020 with the research project Extreme,ERC Grant Agreement No.714487.; Recently,it was discovered that the entropy-conserving/dissipative high-order split-form discontinuous Galerkin discretizations have robustness issues when trying to solve the sim-ple density wave propagation example ...; 关键词：Entropy conservation Kinetic energy preservation Pressure equilibrium preservation Compressible Euler equations Local linear stability Summation-by-parts

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