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1.
本文讨论几类特殊的矩阵多项式,先介绍几个基本概念。然后证明。对这几类特殊的矩阵多项式,与之相应的L-值问题可转化为低次的代数多项式求根问题。最后.使用“投影尺度”建立了L-值的摄动定理。  相似文献   

2.
侧扫声纳系统姿态参数平滑方法研究   总被引:1,自引:0,他引:1  
针对侧扫声纳系统姿态参数采样率低于声纳Ping值采样率的问题,采用窗口移动多项式最小二乘平滑方法(Savitzky—Golay平滑法),对阶梯状姿态数据进行平滑。结果证明了该法的可行性。在选取窗口宽度和多项式阶数时,通过实测数据比较表明,采用窗口为11的二阶多项式平滑后结果与原数据符合程度高。  相似文献   

3.
Tisseur(2000)研究了非齐次多项式特征值问题的条件数,所得结果的不足是对无穷特征值必须另外处理;Declieu和Tisseur(2003)运用微分几何方法研究了齐次多项式特征值问题的条件数,所得结果的不足之处是与系数矩阵的尺度化(scaling)有关。这两种条件数都有各自的应用范围。本文基于投影尺度引入齐次多项式特征值问题的条件数,其优点是与系数矩阵的尺度化无关,因而也许会有较广泛的应用。  相似文献   

4.
通过改变矩阵元素得到Pascal函数矩阵的一种推广形式Pn[f(t)],运用矩阵相关理论讨论其代数性质及指数展开形式,由Pn[f(t)]的逆给出1个反演关系,借助指数发生函数,得到包含二项式型多项式、Hermite多项式与Euler多项式等的一些组合恒等式;最后,给出了Pn[f(t)]的2种不同形式的推广。  相似文献   

5.
对矩阵的最大秩分解、奇异值分解进行了分析,将两种分解方法应用于秩亏网平差中,得到新的未知量平差结果和精度评定公式,其形式更利于计算机语言编程;同时推导证明了奇异值分解和M—P广义逆矩阵之间的关系,得出奇异值分解的广义逆矩眸为矩阵的M—P广义逆;最后通过秩亏网算例进行了解算,验证了方法的正确性和矩阵分解的有效性。  相似文献   

6.
本文采用车贝雪夫正交多项式展开法拟合杭州降水场,并利用“埃尔—尼诺”事件对杭州降水的影响规律对理论拟合值作订正,进而作出用加年前的旱涝等级预报。  相似文献   

7.
本文研究亚纯函数及其q-差分算子或差分算子的1类非线性多项式的导函数分担1个非零公共值的亚纯函数的唯一性问题,这些问题涉及2009年方明亮提出的1个涉及微分多项式的亚纯函数的唯一性问题。本文结果推广了方明亮等人的有关结果。  相似文献   

8.
在水声正交频分复用(OFDM)通信系统中,水声信道中的多径时延扩展会带来频域选择性衰落,多普勒效应会带来子载波间干扰(ICI)。传统接收算法需要开展复杂的二维(时延/多普勒)信道估计, 再进行复杂的信道均衡和符号检测。针对有限多普勒扩展的信道条件下多普勒矩阵元素变化缓慢、ICI 干扰范围有限的特点,借鉴多项式拟合思想,提出了一种创新的接收算法。该算法将多普勒矩阵元素近似为多项式函数,迭代进行多项式拟合和数据符号频域均衡。和传统方法相比,该算法无需进行信道多普勒估计,仅需信道的一维(时延)估计即可实现较好的性能。利用 Bellhop 产生的水声信道仿真结果验证了该算法的可行性。  相似文献   

9.
应用差分Nevanlinna理论研究亚纯函数及其移动算子或差分算子的1类非线性微分多项式分担1个非零公共值的亚纯函数的唯一性问题。本文结果部分回答了2009年方明亮提出的1个涉及微分多项式的亚纯函数唯一性问题,推广了Lahiri[6]、杨重骏和华歆厚[7]和方明亮[8]中的相应结果。  相似文献   

10.
最小二乘配置法由于其能融合不同种类重力观测数据进行局部重力场逼近的特性而受到广泛关注,但最小二乘配置结果的不稳定严重影响该方法的推广应用。 基于对重力观测量协方差矩阵的谱分解,分析出该协方差矩阵存在病态性,协方差矩阵的求逆过程是信号放大的非平稳过程,微小的观测误差会被协方差矩阵的小奇异值放大,从而导致配置结果的不稳定且精度偏低。 引入 Tikhonov 正则化算法,通过 L 曲线法选择正则化参数,利用正则化参数修正重力观测量协方差矩阵的小奇异值,能抑制其对观测误差的放大影响。 通过以 EGM2008 重力场模型分别计算的山区、丘陵和海域重力异常作为基础数据确定相应区域大地水准面的实验,验证了本文算法的有效性。  相似文献   

11.
The interdependence between the seismo-acoustic properties of a marine sediment and its geotechnical/physical parameters has been known for many years, and it has been postulated that this should allow the extraction of geotechnical information from seismic data. Though in the literature many correlations have been published for the surficial layer, there is a lack of information for greater sediment depths. In this article, a desktop study on a synthetic seafloor model illustrates how the application of published near-surface prediction equations to subsurface sediments (up to several tens of meters burial depth) can lead to spurious predictions. To test this further, acoustic and geotechnical properties were measured on a number of sediment core samples, some of which were subjected to loading in acoustically-equipped consolidation cells (oedometers) to simulate greater burial depth conditions. For low effective pressures (representing small burial depths extending to around 10 meters subsurface), the general applicability of established relationships was confirmed: the prediction of porosity, bulk density, and mean grain size from acoustic velocity and impedance appears generally possible for the investigated sedimentary environments. As effective pressure increases through, the observed relationships deviate more and more from the established ones for the near-surface area. For the samples tested in this study, in some instances increasing pressure even resulted in decreasing velocities. There are several possible explanations for this abnormal behavior, including the presence of gas, overconsolidation, or bimodal grain size distribution. The results indicate that an appropriate depth correction must be introduced into the published prediction equations in order to obtain reliable estimates of physical sediment properties for greater subsurface depths.  相似文献   

12.
Specific properties of the interannual sea level variations and annual tides in the Northwestern Pacific were studied. Several tide stations were monitored. The monthly mean sea level for the year of 1995 was analyzed at each tide station. A seismic event in 1995, some tectonic activity around the subject area, and the Kuroshio (the oceanic western boundary current) may possibly contaminate results which would have occurred from the astronomical annual tide alone.  相似文献   

13.
The effect of different fixation and storage protocols on the flow cytometric (FCM) simultaneous analysis of bacterioplankton and phytoplankton in coastal seawater samples (Mediterranean coastal lagoons) was investigated. FCM measurements (cell number, fluorescence and scatter characteristics) were obtained through DAPI staining. Three fixatives [glutaraldehyde (GA), formaldehyde (FA) and paraformaldehyde (PFA)] and two storage (3 months duration) methods (5 °C and −196 °C) were tested. Two dominant populations were detected in studied samples: bacteria and eukaryotic picophytoplankton. Adding fixatives (2% final concentration) appears necessary to obtain FCM exhaustive counts of all the bacteria and phytoplanktonic cells. This was related to the permeation effect of fixatives which allowed a better DAPI staining of the cells. Maximum fluorescence, i.e. optimal staining of the cells was obtained with FA or PFA, and significant lower fluorescences with GA. Fixed samples stored at 5 °C induced rapid cell loss. Only storage in liquid nitrogen of samples fixed with FA or PFA, allows mid-term (≥4 months) preservation of bacteria or picophytoplankton cell numbers, and limited evolution of DAPI-induced fluorescence and scatter characteristics.  相似文献   

14.
15.
《海洋学报(英文版)》2014,(9):F0003-F0003
<正>Acta Oceanologica Sinica(AOS)is a comprehensive academic journal edited by the Editorial Committee of Acta Oceanologica Sinica and is designed to provide a forum for important research papers of the marine scientific community which reflect the information on a worldwide basis.The journal publishes scholarly papers on marine science and technology,including physics,chemistry,biology,  相似文献   

16.
The relationship between the flux of exotic benthic foraminiferal tests (i.e. tests which are supplied from open-sea sources alone) in a tidal inlet and that of bulk sediment was analysed, which can be expressed as two first-order linear equations. According to this relationship, in order to determine net sediment transport directions in the entrance, the test concentration in surficial sediments of the tidal basin can be compared against a ‘ critical level ’. The critical level is determined for the conditions that no net transport of bulk sediment is present within the entrance. If the observed concentration (averaged over the tidal basin) is higher than the simulated critical level, then the net sediment transport is directed to landward. This method is applied to the analysis of net sand transport at Christchurch Harbour, a tidal inlet system located in southern England. In this investigation, concentrations of exotic foraminiferal tests in the surficial sediments of the tidal basin and ebb tidal delta area were obtained from the analysis of sea-bed sediment samples. A series of probable critical levels were calculated based upon the data sets with regard to: (1) sediment discharge from the rivers; (2) magnitude of sediment discharge within the entrance during the ebb; (3) the test concentration outside the harbour; (4) the thickness of the moving layer; and (5) two parameters associated with dispersive processes. The results show that the concentration in the tidal basin sediment is higher than a number of simulated critical concentrations for representative cases. Consequently, the high level of the concentration of exotic benthic foraminiferal tests within the harbour should be explained as a result of landward net transport of sands within the entrance.  相似文献   

17.
18.
Observations on seafloor features from subbottom profiling and seabed photography data show that the undisturbed and natural conditions before the benthic disturbance undergo a substantial change after operation of the disturber. The effects can be seen in the form of deep trenches and grooves, formed by the action of the sleds and the pumping of the sediment along its path, as well as sediment piles on either side of the track. Biological traces such as fecal coils, casts, tubes, burrows, and trails get obliterated in the areas of disturbance and resedimentation. The smooth, uniform nature of the seafloor observed in predisturbance phase shows microtopographic changes in and around the disturbed area as a result of sediment excavation and resettlement. Vertical mixing as well as lateral transport of sediment alter the geological, biological, physical, and chemical conditions on the seafloor, which need to be monitored over time to assess the process and the time taken for restoration of environmental conditions.  相似文献   

19.
Abstract. Long-term changes in the distributional patterns of commercial sponges ( Spongia spp. and Hippospongia spp.) within the West Indian Region indicates that: 1) commercial sponges had a widespread distribution throughout the whole West Indian Region and were ubiquitous in very shallow water until about the first half of the present century; 2) they were fished commercially not only in the traditional northern Caribbean sites (Florida, Gulf of Mexico, Bahamas) but also in the Greater ( e. g. , Hispaniola, Jamaica) and Lesser Antilles; and 3) they became extinct throughout most of the Lesser Antilles ( e. g. , Puerto Rico, Vieques, St. Thomas) sometime during the first half of this century. Mortalities of spongiids within the Antilles were found to differ from other marine mortalities in that: 1) species disappeared from a large region; 2) species vanished from different habitats and depths; and 3) natural populations never recovered. Species richness patterns suggest that commercial sponge genera ( Spongia and Hippospongia ) evolved under slightly cooler elimatic conditions than those found at present, and that these extinctions occurred as a direct or indirect effect of positive thermal anomalies in sea surface and atmospheric temperatures between 1900–1950. The concept that species diversity is stable on a regional scale is questioned.  相似文献   

20.
The behaviour of an axially pre-loaded cylindrical member of an offshore structure, hit by a supply ship, has been investigated. The effects of axial pre-loading on the dynamic properties of members, the extent of damage and propagation of dynamic instability in the tubular members have also been investigated. Numerical models have been validated using available experimental data from the literature although these are mostly static with no pre-loading. Axial pre-loading was found to change the dynamic characteristics of some cylindrical members quite dramatically while it had no significant effect on others. The study examined whether there was any change in the behaviour between local and global modes when the loading was dynamic rather than static. The effect of damping on the dynamic instability of axially pre-loaded tubes under lateral dynamic loads was also studied. It was observed that for some geometries the quasi-static response can be used to define the boundary between bounded and unbounded dynamic responses. The main contribution of this study, compared with previous investigations reported in the literature, is that both pre-loading and dynamic effects have been included.  相似文献   

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