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三角函数曲线数据拟合最佳次数的确定 被引量:15
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作者 司少玲 关永 《计算机工程与设计》 CSCD 北大核心 2006年第24期4660-4662,共3页
在实际问题中测得的实验数据有时需寻求简单函数逼近来分析,曲线拟合的最小二乘法在解决这类问题的数据处理和误差分析中应用非常广泛。为了便于说明这种方法的应用,根据最小二乘法原理,采用曲线拟合方法,运用Matlab仿真工具对三角函数... 在实际问题中测得的实验数据有时需寻求简单函数逼近来分析,曲线拟合的最小二乘法在解决这类问题的数据处理和误差分析中应用非常广泛。为了便于说明这种方法的应用,根据最小二乘法原理,采用曲线拟合方法,运用Matlab仿真工具对三角函数实际特性曲线进行拟合,在分别采用3、5、7、9次多项式进行拟合实验的基础上,分析拟合实验效果,通过比较得出正弦函数特性曲线采用5次多项式拟合效果最佳,避免了人工处理数据的随意性,减小了误差。 展开更多
关键词 数据拟合 三角函数 正弦特性曲线 最小二乘法 偏差分析 标准偏差
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Universal Pseudo-PT-Antisymmetry on One-Dimensional Atomic Optical Lattices
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作者 Xin Wang Chang-Pu Sun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2018年第9期303-310,共8页
We present the interesting result that under sinusoidal field detuning setting along the propagation direction of 1D atomic lattices, the probe susceptibility response of the lattices, regardless of atomic configurati... We present the interesting result that under sinusoidal field detuning setting along the propagation direction of 1D atomic lattices, the probe susceptibility response of the lattices, regardless of atomic configuration, uniformly demonstrates pseudo-PT-antisymmetry, which by our definition corresponds to n(z)=-n*(-z), the complex refractive index antisymmetry along propagation axis, and when being cast back to quantum mechanical side, corresponds to V (x, t)=-V*(x,-t), the conjugate time-reversal antisymmetry of complex potential. We define this as the pseudoPT-antisymmetry, and prove the reason for this phenomenon to be the quantum-mechanical nature described by master equation under weak field approximation for any configuration of 1D atomic lattices. This work will help to deepen the understanding of origin of optical response features of atomic lattices, and will certainly open up the gate to a more rigorous, durable and flexible method of atomic optical lattice design. 展开更多
关键词 pseudo-PT-antisymmetry conjugate time-reversal antisymmetry zigzag-type atom configuration
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