Realization of a Special Case of Indeterminate Finite Summation in Computer-Based Simulations

In this paper, we propose two algorithms to realize a specific case of indeterminate finite summation operation introduced by multinomial theorem in computer-based simulations. One is the time-first algorithm, the realization of which can be temporally advantageous. The other is the space-first algorithm, of which the realization can be spatially advantageous. Our proposed algorithms are examined by simulations, and their efficiency and effectiveness are illustrated. Moreover, we also point out that, by appropriate modifications, these two algorithms can be generalized for more applications. The contributions in this paper can be used to solve a number of numerical computations of the indeterminate finite summations of series in computer-based simulations.

[1]  Wilfried Imrich,et al.  Topics in Graph Theory: Graphs and Their Cartesian Product , 2008 .

[2]  Shuping Dang,et al.  Unit Commitment Model in Smart Grid Environment Considering Carbon Emissions Trading , 2016, IEEE Transactions on Smart Grid.

[3]  Zhihan Lv,et al.  Towards a face recognition method based on uncorrelated discriminant sparse preserving projection , 2017, Multimedia Tools and Applications.

[4]  Xu Ying,et al.  Collaborative Multi-hop Routing in Cognitive Wireless Networks , 2015, Wireless Personal Communications.

[5]  Shuping Dang,et al.  Hybrid forecasting model of power demand based on three-stage synthesis and stochastically self-adapting mechanism , 2014, 2014 IEEE International Energy Conference (ENERGYCON).

[6]  Shuping Dang,et al.  Operational state diagnosis algorithm of the oil-immersed transformer based on fuzzy synthetic evaluation model , 2014, 2014 16th International Conference on Harmonics and Quality of Power (ICHQP).

[7]  Shuping Dang,et al.  Smart grid-oriented oil-immersed transformer capacity estimation and early warning mechanism based on self-adapting forecasting model , 2014, The 4th Annual IEEE International Conference on Cyber Technology in Automation, Control and Intelligent.

[8]  Min Zhang,et al.  Non-contact auto identification and spatial information detection based on ring code , 2015, 2015 International Conference on Informatics, Electronics & Vision (ICIEV).

[9]  Zhihan Lv,et al.  Change detection method for remote sensing images based on an improved Markov random field , 2017, Multimedia Tools and Applications.

[10]  Lide Wang,et al.  Diagnosis Model Based on Least Squares Support Vector Machine Optimized by Multi-swarm Cooperative Chaos Particle Swarm Optimization and Its Application , 2013, J. Comput..

[11]  Shuping Dang,et al.  A SVD-Based Optimum Algorithm Research for Macro-Femto Cell Interference Coordination , 2015, 2015 IEEE 81st Vehicular Technology Conference (VTC Spring).

[12]  Shuping Dang,et al.  Shape matching and feature extraction of cross based on fourier transform and specific spatial matching , 2015, 2015 2nd International Conference on Signal Processing and Integrated Networks (SPIN).

[13]  Sen Yang,et al.  MATLAB Based Simulation of the Efficiency of the Complex OFDM on Power Line Communication Technology , 2014, 2014 Fourth International Conference on Instrumentation and Measurement, Computer, Communication and Control.

[14]  Shuping Dang,et al.  Feature detection and parameters calculation of arbitrary ellipse based on image processing technology , 2015, 2015 2nd International Conference on Signal Processing and Integrated Networks (SPIN).

[15]  S. Finch.  Integer partitions , 2021 .

[16]  Min Zhang,et al.  Smart grid-oriented graphical user interface design and data processing algorithm proposal based on LabVIEW , 2014, 2014 14th International Conference on Environment and Electrical Engineering.