含临界参数抽象动力方程的解法

利用抽象Volterra积分算子的性质,获得了含第一类临界参数抽象动力方程边值问题的一种新的解法。     

Banach空间中非单调二元算子方程的迭代解

利用非线性泛函分析中的单调迭代方法和锥与半序理论,讨论Banach空间不具有单调性的二元算子方程解的存在性与唯一性,并给出收敛于方程的解的迭代序列和误差估计.文中的算子不具有任何连续性和紧性,也不要求算子是某序区间上的自映象.本文结果改进和推广了混合单调算子方程与一元算子方程迭代求解问题的某些相应结果.     

塑料模冷挤型腔最佳工艺斜度的计算

许多塑料模型腔用冷挤压成型,各种模具材料的性能差异会对塑料模型腔的冷挤压工艺及塑件精度产生影响。为提高工艺性和精度,对模腔最佳工艺斜度进行探索和研究,并以简明计算公式直接应用于塑料模型腔或塑件最佳工艺斜度设计。     

算符厄米性对波函数的限制

讨论算符的厄米性对于描述物理系统运动规律的波 (态 )函数的限制     

多式联运经营人责任形式与赔偿责任之关联

对多式联运下经营人所采用的责任制进行了研究 ,并试图在不同责任制下 ,得出多式联运经营人、实际承运人、货主间责任平衡的汇合点 ,从而建立多式联运下众多关系人之间的“责任与利益均衡”对等原则。     

The residual-based ESG algorithm and its performance analysis

The performance of the residual-based extended stochastic gradient (ESG) algorithms for identifying CARMA models with disturbances is analyzed under weaker conditions on statistical properties of the noise. The paper derives the conditions under which the parameter estimation errors converge to zero. Three examples are given to show the advantages of the proposed algorithm.     

双粒子深度非弹性散射及多维流算符乘积展开

研究了双粒子深度非弹性散射问题,引用了同时编时算符T′,将双粒子深度非弹性散射多维流算符乘积按同时编时展开．     

Banach空间中K-正定算子方程解的逼近

本文研究了Ｂａｎａｃｈ空间中的Ｋ－正定算子方程解的一种逼近方法。我们把Ｋ 正定算子的概念从Ｈｉｌｂｅｒｔ空间,实可分严格凸的Ｂａｎａｃｈ空间和实可分ｑ一致光滑Ｂａｎａｃｈ空间（ｑ＞１）推广列了实可分Ｂａｎａｃｈ空间Ｘ。对这样的Ｘ,我们构造了一个强收敛于方程Ａｘ＝ｆ,ｆ∈Ｘ,的唯一解的迭代程序（其中Ａ是一个Ｋｐｄ算子,与Ｋ有相同的定义域）。在一定条件下,本文把Ｐｅｔｒｙｓｈｙｎ,Ｃｈｉｄｕｍｅ和Ａｎｅｋｅ,Ｃｈｉｄｕｍｅ和Ｏｓｉｌｉｋｅ等的相应结果推广到了实可分的Ｂａｎａｃｈ空间     

Causal aware parameterized quantum stochastic gradient descent for analyzing marketing advertisements and sales forecasting

Nowadays, all marketing companies are focusing on advertisements to maximize their sales and profit. Media mix models are used by advertisers to measure how advertisements would effectively, attract and motivate the consumers to buy their brands. However, due to large number of media mix variables, it is difficult to use these media mix models for producing reliable approximation, extending these approximations to infer causation (not as correlation), and parameterizing these models to handle the complex marketing interactions between consumers. In this work, we develop a novel model integrating causal inference analysis with a parameterized quantum stochastic gradient descent model to assess the relation between the marketing advertisements and sales forecasting. The proposed causal aware PQSGD model is experimented on two different media mix variables datasets. The proposed model outperforms the existing quantum approaches (Quantum linear/lasso regression, Quantum decision tree, Quantum LightGBM, Quantum random forest regressor) by achieving the MSE values of 4.36 for Dataset 1 and 19.24 for Dataset 2.     

L—Fuzzy拓扑空间的内部算子与闭包算子

讨论了Ｌ－Ｆｕｚｚｙ拓扑空间上闭包算子和内部算子的几个性质,并给出一类算子所诱导拓扑的唯一性,证明了闭包算子和内部算子在它所在的等价类中的最大性和最小性。