Results 261 to 270 of about 244,730 (294)

BEHAVIOR OF SOME GENERALIZED MULTIPLE SINE FUNCTIONS

International Journal of Number Theory, 2008
Our aim is to investigate the behavior of generalized multiple sine functions with general period parameters in the fundamental domain. For that, we need to calculate the number of their extremal values. By estimating their special values, we determine it in some cases including the quintuple sine function. As a consequence, we sketch their graphs.
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Warming substantiated by multiple sine functions decomposition of multiple cities' temperature data

2015 Chinese Automation Congress (CAC), 2015
In recent years, extensive efforts have been committed to the temperature forecast work, and more and more studies have indicated that the temperature is rising. For the purpose of forecasting long-term temperature trend, a temperature forecast method named multiple sine functions decomposition (MSFD) method is presented in this paper.
Yunong Zhang, null Jingyao Ma, null Binbin Qiu, null Sitong Ding, null Zhi Yang   +4 more
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ITERATED EULER'S INTEGRALS AND NORMALIZED MULTIPLE SINE FUNCTIONS

International Journal of Mathematics, 2009
We introduce iterated Euler's integrals, and we give expressions using zeta functions. Moreover, we prove that normalized multiple sine functions are expressed via iterated Euler's integrals. Then, we show basic properties of multiple sine functions from these results containing Kummer type formula.
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A modified sine cosine algorithm for accurate global optimization of numerical functions and multiple hydropower reservoirs operation

Knowledge-Based Systems, 2020
Abstract Sine cosine algorithm (SCA) is an emerging meta-heuristic method for the complicated global optimization problems, but still suffers from the premature convergence problem due to the loss of swarm diversity. To improve the SCA performance, this paper develops a modified sine cosine algorithm coupled with three improvement strategies, where ...
Zhong-kai Feng, Shuai Liu, Wen-jing Niu, Bao-jian Li, Wen-chuan Wang, Bin Luo, Shu-min Miao   +6 more
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Central values of generalized multiple sine functions

Forum Mathematicum, 2009
For \(\text{Re}\,z>0\) and \(\text{Re}\,s>r\in \mathbb{N}\), the multiple Hurwitz zeta function \(\zeta_r(s, z, \underline{\omega})\), \(\underline{\omega}=(\omega_1, \dots , \omega_r)\), is defined by \[ \zeta_r(s, z, \underline{\omega})=\sum_{n_1, \dots , n_r}^\infty (n_1\omega_1+\cdots +n_r\omega_r+z)^{-s}, \] and by analytic continuation elsewhere.
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Restoration of missing time-series data via multiple sine functions decomposition with Guangzhou-temperature application

The 2014 2nd International Conference on Systems and Informatics (ICSAI 2014), 2014
The restoration of missing data is an important concern for data analysis. In this paper, an algorithmically innovative model termed multiple sine function decomposition (MSFD) model is proposed and developed for restoring the missing data about monthly average temperature (MAT) of Guangzhou, which is a representative major city of China.
Yunong Zhang, Weixiang Ding, Wenchao Lao, Ying Wang, Hongzhou Tan   +4 more
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Rough Period Estimation And Peak Prediction Of Stock Market Based On Multiple Sine Functions Extraction

2018 International Conference on Machine Learning and Cybernetics (ICMLC), 2018
With the development of economy, the stock market of China is booming rapidly. In recent years, a method called multiple sine functions extraction (MSFE) has been proposed, e.g., to predict the potential stock market. In this paper, we use the MSFE to roughly forecast the peak-point of Chinese stock market, in which the inputs are stock data of ...
Yunong Zhang, Zhongxian Xue, Tao Jing, Yingbiao Ling, Chengxu Ye   +4 more
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Some applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log‐sine integrals

Mathematische Nachrichten, 2009
AbstractThe Gamma function and its n th logarithmic derivatives (that is, the polygamma or the psi‐functions) have found many interesting and useful applications in a variety of subjects in pure and applied mathematics. Here we mainly apply these functions to treat convolutions of the Rayleigh functions by recalling a general identity expressing a ...
Choi, Junesang, Srivastava, H. M.
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Colder-winter monthly-temperature forecasting in general trend of global warming via multiple sine functions decomposition

2017 36th Chinese Control Conference (CCC), 2017
Over the past 100 years, especially in the recent 20 years, the global average surface temperature has increased significantly, and global warming has become an important issue of global concern. In this paper, multiple sine functions decomposition (MSFD) method is presented to forecast the colder-winter years of Guangzhou.
Yunong Zhang, Maotai Zou, Shuo Yang, Yingbiao Lin, Chengxu Ye   +4 more
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Time series forecasting via weighted combination of trend and seasonality respectively with linearly declining increments and multiple sine functions

2014 International Joint Conference on Neural Networks (IJCNN), 2014
In this paper, a novel weighted-combination-of-components (WCC) method Is proposed for modeling and forecasting trend and seasonal time series, and such a method is based on decomposition model which regards the time series as the weighted combination of trend, seasonality and other components.
Wenchao Lao, Ying Wang, Chen Peng, Chengxu Ye, Yunong Zhang   +4 more
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