本文以向量为工具,给出了单形构造于E^n的一个十分简洁的等价条件。应用这一条件,推广并完善了不等式Sum from 1<i<j<(n+1) (cosθ_(ij)≤(n+1)/2,得到不等式(n(n-3))/2<sum from 1<i<j<(n+1) (cosθ_(ij)≤(n+1)...本文以向量为工具,给出了单形构造于E^n的一个十分简洁的等价条件。应用这一条件,推广并完善了不等式Sum from 1<i<j<(n+1) (cosθ_(ij)≤(n+1)/2,得到不等式(n(n-3))/2<sum from 1<i<j<(n+1) (cosθ_(ij)≤(n+1)/2,同时还得出了关于单形的若干其它重要结果。展开更多
We report a new self-detection control system for leaking pipes by making use of the surface defects of 1D photonic crystals,where the key concept is analog to the Bragg fiber structure.The current low costs and coati...We report a new self-detection control system for leaking pipes by making use of the surface defects of 1D photonic crystals,where the key concept is analog to the Bragg fiber structure.The current low costs and coating techniques of SiO2 are beneficial to the applications,and its error is below the standard requirement.The problem of leaking pipes can be resolved by devising a remote pipeline control system which combines a long-distance pipeline and a signal transmission system.展开更多
文摘本文以向量为工具,给出了单形构造于E^n的一个十分简洁的等价条件。应用这一条件,推广并完善了不等式Sum from 1<i<j<(n+1) (cosθ_(ij)≤(n+1)/2,得到不等式(n(n-3))/2<sum from 1<i<j<(n+1) (cosθ_(ij)≤(n+1)/2,同时还得出了关于单形的若干其它重要结果。
基金Supported by the National Natural Science Foundation of China under Grant No 508705232.
文摘We report a new self-detection control system for leaking pipes by making use of the surface defects of 1D photonic crystals,where the key concept is analog to the Bragg fiber structure.The current low costs and coating techniques of SiO2 are beneficial to the applications,and its error is below the standard requirement.The problem of leaking pipes can be resolved by devising a remote pipeline control system which combines a long-distance pipeline and a signal transmission system.
