Noncommutative Uncertainty Principles

The classical uncertainty principles deal with functions on abelian groups. In this paper, we discuss the uncertainty principles for finite index subfactors which include the cases for finite groups and finite dimensional Kac algebras. We prove the Hausdorff-Young inequality, Young's inequality, the Hirschman-Beckner uncertainty principle, the Donoho-Stark uncertainty principle. We characterize the minimizers of the uncertainty principles. We also prove that the minimizer is uniquely determined by the supports of itself and its Fourier transform. The proofs take the advantage of the analytic and the categorial perspectives of subfactor planar algebras. Our method to prove the uncertainty principles also works for more general cases, such as Popa's $\lambda$-lattices, modular tensor categories etc.Comment: 41 pages, 71 figure

The Chinese higher education system and the impact of gender : The structure of Chinese education system and previous research and an empirical study

The focus of the dissertation lies on the situation of males and females in Chinese universities, including the allocation between males and females in different positions and disciplines, as well as an analysis of reasons for these differences and the meaning of women’s involvement in universities. The dissertation consists of two parts. The first part is based on theories and previous research by different researchers; the second part is an empirical study from the authors. There are 4 chapters in the theoretical part. The first chapter offers an overview of the Chinese education system; the second chapter describes the students’ situation in Chinese higher education; the third chapter focuses on recent developments in teacher training; the last chapter is dealing with the female teachers in Chinese higher education. The second part, chapter 5, presents the results of an empirical study concerning biographies, motivations and orientations of Chinese male and female university teachers. The final chapter, chapter 6, presents a summary of the main research results. In addition, this chapter opens up for an international comparison between Chinese and German universities

Rough Fuzzy Distance of the Rough Fuzzy Number

Rough sets theory and fuzzy sets theory research the unperfect problem in information systems. the combination of them formed Rough fuzzy sets and Rough Fuzzy number. in this paper, defines the Rough fuzzy distance of the Rough fuzzy number. Then it discusses the nature of Rough fuzzy distance.Key words: Rough fuzzy number; Distance; Rough fuzzy Distanc

Region-controlled Style Transfer

Image style transfer is a challenging task in computational vision. Existing algorithms transfer the color and texture of style images by controlling the neural network's feature layers. However, they fail to control the strength of textures in different regions of the content image. To address this issue, we propose a training method that uses a loss function to constrain the style intensity in different regions. This method guides the transfer strength of style features in different regions based on the gradient relationship between style and content images. Additionally, we introduce a novel feature fusion method that linearly transforms content features to resemble style features while preserving their semantic relationships. Extensive experiments have demonstrated the effectiveness of our proposed approach

Ammonia and salinity tolerance of Penaeus monodon across eight breeding families

© 2016 Chen et al. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.Ammonia nitrogen and salinity tolerance of Penaeus monodon from eight selected breeding families were evaluated at the concentration of 67.65 mg L−1 ammonia-N and reducing salinity from 15 to 0 ‰. The final survival of family A (88.67 ± 9.81 %) was highest, and the final survival of family B was lowest (24.33 ± 14.01 %) after the ammonia tolerance test. Upon completing the sudden drop salinity test from 15 to 0 ‰, the highest survival was observed in family B (98.00 ± 1.73 %), and the lowest survival was found in family H (18.00 ± 1.73 %). Family A showed the strongest ability to tolerate ammonia stress, and family B showed the strongest tolerance to low salinity. This study suggests that the tolerance of salinity and ammonia nitrogen varied between breeding families. Results from the present study provide useful information towards selective breeding in shrimp in aquaculture for environmental tolerance