An afne space is a set consisting of points and vectors.A vector space(or linear space)is an afne space with a specied origin.For a given afne coordinate system,there exists a one-to-one correspondence between vectors...An afne space is a set consisting of points and vectors.A vector space(or linear space)is an afne space with a specied origin.For a given afne coordinate system,there exists a one-to-one correspondence between vectors and coordinates.In order to provide a theoretical basis for coordinate and frame transformations,and to simplify the transformation process in specic problem studies,the geometric product of vectors is redened(the geometric product of vectors is the sum of the negative inner product and the outer product of the vectors),thus the one-to-one correspondence relationship between unit vectors and imaginary units is established.According to Hurwitz's theorem,the vector space of the outer product is gotten and dened,and its dimension cannot be chosen arbitrarily.Based on Arthur Cayley's(1845)multiplication rules of octonions,transformation formulas for a seven-dimensional vector space and rotation matrices for coordinate frame transformations are derived.It is pointed out that the three-dimensional rotation matrices commonly used in astrometry and geodesy are special cases thereof.According to the redefinition of the geometric product of vectors,the multiplication rules of quaternions can be directly obtained,as well as the multiplication table of imaginary units of octonions.It is further indicated that the multiplication tables of imaginary units for octonions and hypercomplex numbers of higher dimensions are not unique.展开更多
Toll-like receptor 7 （TLR7）, the best known TLRs, has been demonstrated to be useful in fighting against infectious disease. In our study, three-dimensional （3D） pharmacophore models were constructed from a set of...Toll-like receptor 7 （TLR7）, the best known TLRs, has been demonstrated to be useful in fighting against infectious disease. In our study, three-dimensional （3D） pharmacophore models were constructed from a set of 5 TLR7 agonists. Among the 10 common-featured models generated by program Discovery Studio/HipHop, a hypothesis （Hypo2） including one hydrogen-bond donor （D）, one hydrogen-bond acceptor （A）, and two hydrophobic （H） features was considered to be important in evaluating the ligands with TLR7 agonistic activity. The obtained pharmacophore model was further validated using a set of test molecules and the Catalyst TLR7-agonist-subset database. Hypo2 has been shown to identify a range of highly potent TLR7 agonists. Finally, the obtained pharmacophore was further validated using docking studies. Taken together, this model can be utilized as a guide for future studies to design the structurally novel TLR7 agonists.展开更多
针对触摸屏监控系统不能满足大中型立体仓库对数据进行存储和处理的功能需求,在Visual Studio 2019集成开发环境中,采用C#语言开发一套立体仓库上位机控制系统。以多线程的方式实时读取库位信息;以S7-1200 PLC作为主控制器,设计产品的...针对触摸屏监控系统不能满足大中型立体仓库对数据进行存储和处理的功能需求,在Visual Studio 2019集成开发环境中,采用C#语言开发一套立体仓库上位机控制系统。以多线程的方式实时读取库位信息;以S7-1200 PLC作为主控制器,设计产品的自动入库和自动出库程序流程,采用SCL语言设计了库位先进先出的控制程序。C#和S7-1200 PLC之间采用S7通信的方式控制立体仓库的出入库操作和库位信息采集,3年的现场运行情况表明,整个系统能在上位机上对立体仓库进行手动控制和自动控制,能精确快速地进行入库出库操作,运行平稳,上位机上能正确实时显示库位信息,达到了预期的结果。展开更多
基金supported by the National Natural Science Foundation of China(No.42574047,No.12473068,No.41774039,No.42074002).
文摘An afne space is a set consisting of points and vectors.A vector space(or linear space)is an afne space with a specied origin.For a given afne coordinate system,there exists a one-to-one correspondence between vectors and coordinates.In order to provide a theoretical basis for coordinate and frame transformations,and to simplify the transformation process in specic problem studies,the geometric product of vectors is redened(the geometric product of vectors is the sum of the negative inner product and the outer product of the vectors),thus the one-to-one correspondence relationship between unit vectors and imaginary units is established.According to Hurwitz's theorem,the vector space of the outer product is gotten and dened,and its dimension cannot be chosen arbitrarily.Based on Arthur Cayley's(1845)multiplication rules of octonions,transformation formulas for a seven-dimensional vector space and rotation matrices for coordinate frame transformations are derived.It is pointed out that the three-dimensional rotation matrices commonly used in astrometry and geodesy are special cases thereof.According to the redefinition of the geometric product of vectors,the multiplication rules of quaternions can be directly obtained,as well as the multiplication table of imaginary units of octonions.It is further indicated that the multiplication tables of imaginary units for octonions and hypercomplex numbers of higher dimensions are not unique.
基金supported by the National Natural Science Foundation of China(Grant No.20902068)Natural Science Foundation of Inner Mongolia Autonomous Region,China(Grant No.2011BS1201)+1 种基金Program for Young Talents of ScienceTechnology in Universities of Inner Mongolia Autonomous Region,China
文摘Toll-like receptor 7 （TLR7）, the best known TLRs, has been demonstrated to be useful in fighting against infectious disease. In our study, three-dimensional （3D） pharmacophore models were constructed from a set of 5 TLR7 agonists. Among the 10 common-featured models generated by program Discovery Studio/HipHop, a hypothesis （Hypo2） including one hydrogen-bond donor （D）, one hydrogen-bond acceptor （A）, and two hydrophobic （H） features was considered to be important in evaluating the ligands with TLR7 agonistic activity. The obtained pharmacophore model was further validated using a set of test molecules and the Catalyst TLR7-agonist-subset database. Hypo2 has been shown to identify a range of highly potent TLR7 agonists. Finally, the obtained pharmacophore was further validated using docking studies. Taken together, this model can be utilized as a guide for future studies to design the structurally novel TLR7 agonists.
文摘针对触摸屏监控系统不能满足大中型立体仓库对数据进行存储和处理的功能需求,在Visual Studio 2019集成开发环境中,采用C#语言开发一套立体仓库上位机控制系统。以多线程的方式实时读取库位信息;以S7-1200 PLC作为主控制器,设计产品的自动入库和自动出库程序流程,采用SCL语言设计了库位先进先出的控制程序。C#和S7-1200 PLC之间采用S7通信的方式控制立体仓库的出入库操作和库位信息采集,3年的现场运行情况表明,整个系统能在上位机上对立体仓库进行手动控制和自动控制,能精确快速地进行入库出库操作,运行平稳,上位机上能正确实时显示库位信息,达到了预期的结果。
