For the six gluon scattering process we give explicit and simple expressions for the amplitude and its square. To achieve this we use an analogy with string theories to identify a unique procedure for writing the multi-gluon scattering amplitudes in terms of a sum of gauge invariant dual sub-amplitudes multiplied by an appropriate color (Chan-Paton) factor. The sub-amplitudes defined in this wa...

Bin-Yong Liang, Er-Lei Zhang, Jian Li, Xin Long, Wen-Qiang Wang, Bi-Xiang Zhi-Wei Yi-Fa Chen, Wan-Guang Bin Mei, Zhen-Yu Xiao, Jin Gu, Zun-Yi Shuai Xiang, Han-Hua Dong, Lei Peng Zhu, Qi Cheng, Lin Zhan-Guo Bin-Hao Wei Xiao-Feng Liao, Tao Yin, Dong-De Wu, Jiang, Yu-Feng Yuan, Zhong-Lin Yao-Bing Kai-Yan Wan Yee Lau, Xiao-Ping Zhi-Yong Huang

Entrywise powers of matrices have been well-studied in the literature, and have recently received renewed attention due to their application in the regularization of highdimensional correlation matrices. In this paper, we study powers of positive semidefinite block matrices (Hst) n s,t=1 where each block Hst is a complex m × m matrix. We first characterize the powers α ∈ R such that the blockwi...

Hybrid systems are dynamic systems with interacting discrete computation and continuous physical processes, which have become more common, more indispensable, and more complicated in our modern life. Particularly, many of them are safety-critical, and therefore are required to meet a critical safety standard. Invariant generation plays a central role in the verification and synthesis of hybrid ...

The main goal of this paper is to discuss the recent advancements matrix means from positive matrices accretive in a more general setting. In particular, we present form governing well established definition geometric mean, then define arbitrary and functional calculus for matrices. Applications new discussion involve generalizations known inequalities setting that This includes arithmetic-harm...

Energy Storage In article number 2203887, Haifei Zhan, Gang Zhang, Chaofeng Lü, and co-workers propose a 2D diamane-based planar spiral as an alternative low-carbon footage energy supplier for micro-/nano-scale devices/systems based on its mechanical deformation. Supported by the theoretical analysis, atomistic investigations reveal that gravimetric density can reach 2.03 MJ kg−1 or 564 Wh kg−1...