Reductions of the object and the affine torsion tensor of a centroprojective connection on a distribution of planes

The projective group is represented as a bundle of centroprojective frames. This bundle is endowed with a centroprojective connection and becomes the space of this centroprojective connection. Structure equations of this space are found, which include the affine torsion tensor and the centroprojective curvature tensor containing the affine curvature subtensor. A distribution of planes in projective space and its associated principal bundle (which has two simplest and two simple (in the sense of [1]) quotient principal bundles) are considered. On the associated bundle, a group connection is defined. The object of the centroprojective connection is reduced to the object of the group connection. The object of the group connection contains the objects of the flat and normal linear connections, the centroprojective subconnection, and the affine-group connection as subobjects. The torsion object of the affine-group connection is determined. It is proved that it forms a tensor, which contains the torsion tensor of the normal linear connection as a subtensor. It is shown that the affine torsion tensor of the centroprojective connection reduces to the torsion tensor of the affine-group connection.     

Cage-like amino alcohols. synthesis, reactions, and application

The review analyzes methods for the synthesis of amino alcohols containing cage-like norbornene, norbornane, and adamantane fragments. Such reactions of amino alcohols as selective functionalization of hydroxy and amino groups, as well as heterocyclizations with formation of nitrogen- and oxygen-containing heterocycles, are considered. Biological activity of cage-like amino alcohols and their derivatives and their use as ligands in catalytic asymmetric syntheses are discussed.     

快前沿直线脉冲变压器单级模块开关触发时延分散性实验研究

针对12支路并联的快前沿直线脉冲变压器单级模块,给出了模块的电路结构和关键器件参数,实验获得了12只多间隙气体开关的自击穿特性和触发特性。同时,还给出了快前沿直线脉冲变压器模块输出电流的初步实验结果,工作电压150 kV时,次级短路放电电流幅值为235 kA,电流前沿88.2 ns（10%~90%）。次级带0.58 负载情况下,输出电流幅值114.5 kA,电流前沿88.9 ns（10%~90%）。利用微分环测量了12只开关的触发时延分散性,结果表明100次实验开关触发时延分散性近似符合正态分布,开关触发时延分散性对输出电流的影响不大,电流幅值和前沿的标准偏差分别小于2.0%,4.0%,电流波形的畸变主要以平顶为主。     

重分数布朗运动的列维连续模

重分数布朗运动是布朗运动的一种推广，有较强的实用背景.该过程的增量既不是独立的，也不是平稳的. 本文研究了它的列维连续模.     

Manifolds and graphs with slow heat kernel decay

We give upper estimates on the long time behavior of the heat kernel on non-compact Riemannian manifolds and infinite graphs, which only depend on a lower bound of the volume growth. We also show that these estimates are sharp. Oblatum 23-VIII-1999 & 21-XII-2000?Published online: 5 March 2001     

某些平均压缩迭代函数系的不变测度的L2维数的估计

假设f={f1,……,fm}是定义在R^d上的m个Lipschitz函数，形如fi(x)=λi^-1x bi(λi∈Z),假定由f产生的迭代函数系(IFS)是平均压缩的，本文给出了这种迭代函数系的不变测度的L^2-维数的上、下界的估计。     

结合区域提取和改进卷积神经网络的水下小目标检测

针对水下小目标信息量有限而难以提取有效特征导致的检测性能不佳问题,提出了一种结合区域提取和融合Hu矩特征的改进卷积神经网络水下小目标检测方法。该方法包含区域提取和分类两个步骤。首先以马尔可夫随机场分割算法为基础进行区域提取,对潜在目标定位的同时降低伪目标对后续分类的干扰;然后提取潜在目标区域的Hu矩特征并融入卷积神经网络,形成一种形状特征表征能力更强的改进卷积神经网络用于分类。声呐实测数据处理结果表明,该方法可以有效提升对水下小目标的发现概率和正确报警率,与其他目标检测方法相比,该方法具有更好的检测性能和泛化性。     

爆轰波与金属的斜相互作用

应用二种截然不同的炸药PBX 95 0 1和T2 ,计算了爆轰波在不同入射角下与金属平板的斜相互作用。在正规反射区 ,计算结果与激波极线理论基本一致 ;应用燃烧模型 ,分别计算了Fe球壳装药JB90 0 3(HE)及JB90 14 (IHE)散心爆轰波的绕射传播 ,计算结果与实验很好地符合。在非正规反射区 ,二维拉氏程序计算结果明显地不同于经典理论结果 ,计算中没有出现Mach反射。计算结果显示 ,毗邻介质影响节点附近的爆轰波阵面形状及爆轰波速度 ;不同的反应率函数计算的节点图像不同。