How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a system—like the orbit of planets.

Abstract: A generalized Chinese remainder theorem (CRT) for multiple integers from residue sets has been studied recently, where the correspondence between the remainders and the integers in each ...

Abstract: In this paper, we present a class of codes, referred to as random staircase generator matrix codes (SGMCs), which have staircase-like generator matrices. In the infinite-length region, we ...

Particle swarm optimization (PSO) algorithm is an optimization technique with remarkable performance for problem solving. The convergence analysis of the method is still in research. This article ...

Best-subset selection is a benchmark optimization problem in statistics and machine learning. Although many optimization strategies and algorithms have been proposed to solve this problem, our ...

Qudit is a multi-level computational unit alternative to the conventional 2-level qubit. Compared to qubit, qudit provides a larger state space to store and process information, and thus can provide ...

1 Department of Computer Science, Beijing University of Technology, Beijing, China. 2 Department of Information Technology and Engineering, Dalian Polytechnic University, Dalian, China. 3 Department ...

China’s research efforts in artificial intelligence (AI) began later than the U.S. and Europe. Early contributions in the 1970s included automated theorem proving, logic reasoning, search, and ...

School of Mathematics and Statistics, Hainan Normal University, Haikou, China. and Candès and Recht [5] proved that under suitable conditions, the program (1) and (2) are formally equivalent in the ...

We describe approaches for distances between pairs of two-dimensional surfaces (embedded in three-dimensional space) that use local structures and global information contained in interstructure ...