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Sine

About: Sine is a research topic. Over the lifetime, 1153 publications have been published within this topic receiving 9356 citations. The topic is also known as: sin & sine function.


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Book
06 Nov 2006
TL;DR: Preface Acknowledgements List of Acronyms 1. Discrete Cosine and Sine Transforms 2. Definitions and General Properties 3. The Karhunen-Loeve Transform and Optimal Decorrelation 4. Fast DCT/DST Algorithms 5. Integer DiscreteCosine/Sine Trans transforms Appendices Index
Abstract: Preface Acknowledgements List of Acronyms 1. Discrete Cosine and Sine Transforms 2. Definitions and General Properties 3. The Karhunen-Loeve Transform and Optimal Decorrelation 4. Fast DCT/DST Algorithms 5. Integer Discrete Cosine/Sine Transforms Appendices Index

319 citations

Journal ArticleDOI
TL;DR: A complex-valued version of the back-propagation algorithm (called 'Complex-BP'), which can be applied to multi-layered neural networks whose weights, threshold values, input and output signals are all complex numbers, is presented.

309 citations

Journal ArticleDOI
TL;DR: In this article, it is demonstrated that n-scroll attractors can be generated using a simple sine or cosine function and a guideline is given so that a different number of scrolls can be designed easily by modifying two variables in the function.
Abstract: A new approach for generating n-scroll attractors is introduced. It is demonstrated that n-scroll attractors can be generated using a simple sine or cosine function. A guideline is given so that a different number of scrolls can be designed easily by modifying two variables in the function. An electronic circuit is also designed for the implementation and the observation of a 9-scroll attractor is reported for the first time.

289 citations

Journal ArticleDOI
TL;DR: In this paper, an explicit expression for vacuum expectation values of the exponential fields in the sine-Gordon model was proposed, which agrees both with semi-classical results and with perturbative calculations in the Massive Thirring model.
Abstract: We propose an explicit expression for vacuum expectation values of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the Massive Thirring model. We use this expression to make new predictions about the large-distance asymptotic form of the two-point correlation function in the XXZ spin chain.

233 citations

Journal ArticleDOI
Ling Xu1
TL;DR: A damping parameter estimation algorithm for dynamical systems based on the sine frequency response is proposed and a damping factor is introduced in the proposed iterative algorithm in order to overcome the singular or ill-conditioned matrix during the iterative process.

224 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023240
2022521
202183
202073
201952
201843