ΛBMV中函数的Taylor平均逼近

1984年施咸亮引入了介于ΛBV和BMO之间的函数类Λ-有界平均变差函数类,记作ΛBMV;并考虑了对于Fourier级数的应用,指出f(x)∈HBMV(λ_n=n时的ΛBMV),f(x)在第一类间断点处,它的Fourier级数部分和收敛于S(x)=1/2(f(x+0)+f(x—0)),且在连续闭区间上一致收敛于f(x).1987年孙燮华考虑了ΛBMV中函数的Fourier级数部分和的收敛速度.1990年朱来义考虑了ΛBMV中函数的Euler平均逼近.本文在此考虑了ΛBMV中函数的Taylor平均逼近.     

Taylor公式在级数判敛中的应用

利用Taylor公式把一些级数的通项un近似表示成幂函数1/n^α和（-1）^n/n^β的线性组合，误差为高阶无穷小。根据级数∞∑n=1 1/n^α和∞∑n=1 （-1）^n/n^β的收敛情况比较容易地判别级数∞∑n=1 un的敛散性。     

单边条件下的 Taylor平均逼近

本文中 ,我们对函数加适当的条件 ,从而改进了 Taylor平均逼近的阶.     

Parameter allocation of parallel array bistable stochastic resonance and its application in communication systems

In this paper, we propose a parameter allocation scheme in a parallel array bistable stochastic resonance-based communication system(P-BSR-CS) to improve the performance of weak binary pulse amplitude modulated(BPAM) signal transmissions. The optimal parameter allocation policy of the P-BSR-CS is provided to minimize the bit error rate(BER)and maximize the channel capacity(CC) under the adiabatic approximation condition. On this basis, we further derive the best parameter selection theorem in realistic communication scenarios via variable transformation. Specifically, the P-BSR structure design not only brings the robustness of parameter selection optimization, where the optimal parameter pair is not fixed but variable in quite a wide range, but also produces outstanding system performance. Theoretical analysis and simulation results indicate that in the P-BSR-CS the proposed parameter allocation scheme yields considerable performance improvement, particularly in very low signal-to-noise ratio(SNR) environments.     

利用元素法简化第一型曲面积分的计算

利用元素法把一些一元函数或可化为一元函数的第一型曲面积分直接化为定积分进行简化的计算。     

Real eigenvalues determined by recursion of eigenstates

Quantum physics is primarily concerned with real eigenvalues, stemming from the unitarity of time evolutions. With the introduction of PΤ symmetry, a widely accepted consensus is that, even if the Hamiltonian of the system is not Hermitian, the eigenvalues can still be purely real under specific symmetry. Hence, great enthusiasm has been devoted to exploring the eigenvalue problem of non-Hermitian systems. In this work, from a distinct perspective, we demonstrate that real eigenvalues can also e...     

单边条件下连续函数F(a,q)的平均

本文对函数加适当的条件,从而改进了F(a,q)平均通近的阶.     

单边条件下连续函数F(a,q)的平均

本文对函数加适当的条件,从而改进了F(a,q)平均逼近的阶.     

第一型曲面积分的一题多解

基于元素法和积分的性质讨论了第一型曲面积分的一题多解.