Supported by the Japan Society for the Promotion of Science Grant-in-Aid for Scientific Research,No.23K11902.
BACKGROUND The early acquisition of skills required to perform hemostasis during endoscopy may be hindered by the lack of tools that allow assessments of the operator’s viewpoint.Understanding the operator’s viewpoi...
In the present paper,we obtain the converse results of approximation of a newly introduced genuine Bernstein-Durrmeyer operators in movable interval.We also get the moments properties of an auxiliary operator which ha...
Project supported by the National Natural Science Foundation of China(Grant Nos.42005003 and 41475094)。
Nonlinear science is a fundamental area of physics research that investigates complex dynamical systems which are often characterized by high sensitivity and nonlinear behaviors.Numerical simulations play a pivotal ro...
Each year,millions of young people around the world take part in trips for a wide range of reasons,including:educational,training and development,religious,cultural and sports.Schools and other educational institution...
Supported by National Key R&D Program of China(Grant No.2021YFA1002500);NNSF of China(Grant Nos.12222114 and 12001400)。
We introduce a bilinear extension of the so-called exotic Calderón–Zygmund operators.These kernels arise naturally from the bilinear singular integrals associated with Zygmund dilations.We show that such a class of ...
We extend the(outer)measureγ_(I) associated to an operator ideal I to a measureγ_(I) for bounded bilinear operators.If I is surjective and closed,and J is the class of those bilinear operators such thatγ_(I)(T)=0,w...
supported by the National Science Fund for Distinguished Young Scholars (51925505);the General Program of National Natural Science Foundation of China (52275491);the Major Program of the National Natural Science Foundation of China (52090052);the Joint Funds of the National Natural Science Foundation of China (U21B2081);the National Key R&D Program of China (2022YFB3402600);the New Cornerstone Science Foundation through the XPLORER PRIZE
Learning mappings between functions(operators)defined on complex computational domains is a common theoretical challenge in machine learning.Existing operator learning methods mainly focus on regular computational dom...
supported by the National Natural Science Foundation of China(Grant No.12231005);the Shanghai Science and Technology Innovation Action Plan(Grant No.21ZR1404200);supported by the China Postdoctoral Science Foundation(Grant Nos.2020TQ0077 and 2020M681134)。
We establish coanalytic models for a broad class of Hardy-type operators on L^(2)[0,1].In particular,we show that the logarithmic Hardy operator is unitarily equivalent to the difference between the identity operator ...
1 Introduction.As applications and systems increasingly migrate to the cloud,cloud-native databaseesystems withstorage-compute disaggregatedaarchitectureand computationpushdown techniques have gained widespread suppor...
supported by the National Natural Science Foundation of China(Grant Nos.12174214,12475022,and 92065205);the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302100).
Open quantum system simulations are essential for exploring novel quantum phenomena and evaluating noisy quantum circuits.In this Letter,we investigate whether mixed states generated from noisy quantum circuits can be...