supported by the National key R and D Program of China 2020YFA0713100;the NSFC(12141104,12371062 and 12431004).
In this paper,we obtain a vector bundle valued mixed hard Lefschetz theorem.The argument is mainly based on the works of Tien-Cuong Dinh and Viet-Anh Nguyen.
support of the National key research and development program(No.2023YFB250400);the National Natural Science Foundation of China(No.52271222);the Science and Technology Commission of Shanghai Municipal(Nos.23DZ1202500 and 21010503100);the Shanghai Young Outstanding Academic Leaders Plan(Overseas);the Shanghai Pujiang Program(No.23PJ1409300).
The global annual production of poly(ethylene terephthalate)(PET)has reached 82 million tons,yet only a small fraction(less than 20%)is recycled.The ultra-slow degradation rate of PET results in the accumulation of PE...
The dramatic rise in the number of people living in cities has made many environmental and social problems worse.The search for a productive method for disposing of solid waste is the most notable of these problems.Ma...
supported by the Key Program of National Natural Science Foundation of China(31830074);the“Pioneer”and“Leading Goose”R&D Program of Zhejiang(No.2023C02030);the Program for Chinese Innovation Team in Key Areas of Science and Technology of the Ministry of Science and Technology of the People's Republic of China(2016RA4008)。
Dear Editor,Insect saliva is formed and secreted by the salivary gland,which is vital for various physiological processes,such as feeding and for viral transmission.More recently,omic approaches,such as transcriptomic...
supported by the National Social Science Fund of China(No.20CZX048)。
In the literature,there are many relational semantics of propositional logics each of which,although a satisfaction relation is defined,seems to have a“many-valued”intuition behind.More precisely,this means that a p...
Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of fi...
In this paper, we investigate one kind of complex-valued systems with an impulsive control field, where the complex-valued system is governed by the Schrödinger equation, which is used for quantum systems, etc. We stu...
supported in part by the National Natural Science Foundation of China (Grant Nos. U1804150, 62073124)。
The logical blocking of finite state machines(FSMs) is examined at the three levels of formulation,detection, and search from an STP viewpoint(semi-tensor product of matrices). The research idea regards an FSM as a lo...
supported by the National Natural Science Foundation of China under Grant Nos.62025306,62122083,62303452,and T2293773;CAS Project for Young Scientists in Basic Research under Grant No.YSBR-008;China Postdoctoral Science Foundation under Grant No.2022M720159;Guozhi Xu Postdoctoral Research Foundation.
This paper focuses on the state estimate for a class of systems with both process noise and measurement noise under binary-valued observations,in which the Gaussian assumption on the predicted density of the state is ...
In the real world,one of the most common problems in project management is the unpredictability of resources and timelines.An efficient way to resolve uncertainty problems and overcome such obstacles is through an ext...