supported by the National Natural Science Foundation of China(12226006,11921001);the Natural Key Research and Development Program of China(2018YFA0704701).
In 1694,Gregory and Newton proposed the problem to determine the kissing number of a rigid material ball.This problem and its higher dimensional generalization have been studied by many mathematicians,including Minkow...
supported by the National Natural Science Foundation of China(Grant No.11671145);the Science and Technology Commission of Shanghai Municipality(Grant No.18dz2271000).
In this paper,large deviations principle(LDP)and moderate deviations principle(MDP)of record numbers in random walks are studied under certain conditions.The results show that the rate functions of LDP and MDP are dif...
Support from grants 12274299,92050202 and 22QA1406600 are gratefully acknowledged.
Topology is usually perceived intrinsically immutable for a given object.We argue that optical topologies do not immediately enjoy such benefits.Using'optical skyrmions'as an example,we show that they will exhibit var...
A two-stage algorithm based on deep learning for the detection and recognition of can bottom spray codes and numbers is proposed to address the problems of small character areas and fast production line speeds in can ...
supported in part by the National Natural Science Foundation of China(Nos.11901292,11631014).
Let l>r≥3.Given a 2-graph F,the expansion E^((r))of F is an r-graph obtained from F by adding r-2 new vertices into each edge.When F is a clique of order l,the Turán number ex(n,F^((r)))was first asymptotically dete...