基于均值置信区间带的高光谱特征波段选择与树种识别

以柏木、雷竹和无患子野外高光谱数据为基础,在统计学理论和实践分析的基础上,提出了利用均值置信区间带筛选树种间最佳特征区分波段及利用Manhattan距离和Min-Max区间相似度识别树种的问题。研究结果表明:(1)柏木与雷竹之间的最佳区分波段为358～386,452～1 145和1 314～2 500 nm,柏木与无患子之间的最佳区分波段为350～446,497～527,553～1 330,1 355～2 400和2 436～2 500 nm,雷竹与无患子之间的最佳区分波段为434～555,580～1 903,1 914～2 089,2 172～2 457和2 475～2 500 nm;(2)在最佳区分波段内,同种树种间的Manhattan距离远小于异种树种间的Manhattan距离,同种树种间的Min～Max区间相似度远大于异种树种间的Min～Max区间相似度,Manhattan距离和Min～Max区间相似度可以有效区分和识别不同类型的树种。     

Approximate Homotopy Symmetry Reduction Method： Infinite Series Reductions to Kawahara Equation

The Kawahara equation is studied through the approximate homotopy symmetry method. Under this method we get the similarity reduction solutions of the Kawahara equation, leading to the corresponding homotopy series solutions. Furthermore, the similarity solutions of the corresponding reduced linear ordinary differential equations are also considered.     

管内插入扭带的强化传热数值模拟

为了定性及定量研究管内插入扭带的强化传热方式,建立了以空气为传热介质的管内插入扭带强化传热的套管式换热器模型,进行数值模拟研究,并且与实验结果相比较,模拟值与实验值在Re＞5000时的偏差小于2%,由此可验证数学模型的正确性.从插入扭带管和光滑管的速度与温度的对比图中可看出扭带的强化传热作用.并定量地描述出扭转比以及摩擦阻力系数与传热效果的数值关系.     

微细管碳纳米管悬浮液强制对流换热实验研究

测量了水平微细圆管内蒸馏水和不同质量浓度的水基多壁碳纳米管纳米流体在低雷诺数下的强制对流换热特性。实验结果表明,与蒸馏水相比,纳米流体的对流换热系数显著提高,且随质量浓度和管内雷诺数的增大而增大;并且研究了流体管内流动阻力特性,得到的泊肃叶数f·Re值随着雷诺数的变化不明显,但纳米流体的f·Re值要明显小于纯水。     

Study of the excitation properties of the Si3O2 cluster under an external electric field

The structure of the Si₃O_x (x=2, 3) cluster is investigated; we find that the geometry of Si₃O₂ is similar to that of Si₃O₃ except for the oxygen-deficient defect structure (Si-Si band) which exists only in the Si₃O₂ cluster. It is known that oxygen-deficient defects are used to explain visible luminescence (especially blue, purple and ultraviolet light) from silicon-based materials, which are directly bound up with the excited states of the molecules. Therefore the excitation properties of the two clusters are also studied. Our results show that the absorption spectrum of Si₃O₂ is concentrated in the visible light region. In contrast, the absorption spectrum of Si₃O₃ is mainly located in the ultraviolet light region. The calculations are perfectly consistent with experimental data and also support the theory of oxygen-deficient defects.     

指向深度学习的初中数学课堂教学策略探究

深度学习立足于真实情境的问题解决,注重学生高阶思维的发展,为初中常态课教学设计打开了创造之窗,开辟了探索之径.基于对深度学习的认识,通过“相似三角形的判定”的部分教学片段,进而去理性探讨深度学习的初中数学课堂教学策略.     

空化现象的模拟准则

本文在现有理论基础上导出空化现象的模拟准则.为模拟空化现象提供依据.     

广义Sierpinski集

本文考察了包括平面上的各种广义 Cantor集 ,Sierpinski集和包括某些连续不可微曲线在内的广义 Sierpinski集 .由相似变换 ,导出了它们的级数表达式 ,并利用它和字符串空间的对应关系 ,计算出它们的Hausdorff维数     

BERNOULLI CONVOLUTIONS ASSOCIATED WITH CERTAIN NON——PISOT NUMBERS

The Bernoulli convolution Vλ measure is shown to be absolutely continuous with L^2 density for almost all 1/2＜λ＜1, and singular if λ^-1 is a Pisot number. It is an open question whether the Pisot type Bernoulli conuolutions are the only singular ones. In this paper, we construct a family of non-Pisot type Bernoulli convo-lutions Vλ such that their density functions, if they exist, are not L^2. We also construct other Bernolulli convo-lutions whose density functions if they exist, behave rather badly.     

离散Lyapunov矩阵方程X—AXB=C的一种数值解法

本文提供了求解离散Lyapunov矩阵方程的一种数值解法。首先讨论了系数矩阵为三对角形矩阵的公式解法,然后通过相似变换,将该方法推广到一般情形。