tensor analysis 中文意思是什麼
tensor analysis
解釋
張量分析-
Harmonic maps between riemannian manifolds are very important in both differential geometry and mathematical physics. riemannian manifold and finsler manifold are metric measure space, so we can study harmonic map between finsler manifolds by the theory of harmonic map on general metric measure space, it will be hard to study harmonic map between finsler manifolds by tensor analysis and it will be no distinctions between the theory of harmonic map on finsler manifold and that of metric measure space. harmonic map between riemannian manifold also can be viewed as the harmonic map between tangent bundles of source manifold and target manifold
黎曼流形間的調和映射是微分幾何和數學物理的重要內容。黎曼流形和finsler流形都是度量空間，自然可利用一般度量空間調和映射的理論討論finsler流形間的調和映射。但由於控制finsler流形性質的各種張量一般情況下很難應用到一般度量空間調和映射的理論中，使得這樣的討論大都是形式上的，並與一般度量空間調和映射的理論區別不大。 -
First, on the base of investigating geleshan geologic environments, the author carefully analyzes them, studies their water storage structure, discusses the relationship of underground water dynamic changes and tunnel drainage by desiccation ; secondly, the author makes the dynamic analysis, regression analysis, routine hydrochemistry analysis, isotope analysis, so draws to guan - yin gorge anticlire east and west slot ' s karst developing features, alternated conditions underground water and supplying drain ways ; thirdly, by stating the fissuring ' s surveying data, the author calculates the seeping tensor
作者在進行歌樂山地質環境調查的基礎上，仔細分析了大量觀測資料，研究其儲水構造，掌握地下水動態變化與隧道施工涌水的關系，及補給受降雨的影響情況。對隧道周圍的地下水進行動態分析、回歸分析、常規水化學分析以及同位素分析，得出觀音峽背斜東西翼槽谷的巖溶發育特徵，及地下水的循環交替條件、補給排泄途徑；統計分析裂隙測量數據，計算滲透張量。 -
The paper introduces large - scale fem software, algor, by which the auther can build model of hanging box of high pile cap, and simulates accurately three loadcases, which include loadcase behind enclosed concrete, loadcase behind empty water in hanging box, and loadcase behind high pile cap construction. the auther calculates tensor and displacement of hanging box weir when loads exert panels, supports, suspenders, top beams, base beams of hanging box weir. at the same time the auther carrys out th e stability analysis, besides, educes calculational and analytical data, which are tally with construction result in the main
論文介紹大型通用有限元計算軟體algor ，並用軟體建立大遼河特大橋高樁承臺吊箱圍堰的全結構模型，相對準確地模擬灌注封底混凝土后、抽除吊箱內河水后、承臺破冰體施工后等三種受力工況，並用模型進行了應力和變形的計算，計算各工況荷載作用於吊箱全結構箱體板面、內支撐、吊桿、懸吊頂梁、底梁等的應力和變形，並對比吊箱圍堰板面計算變形和施工實測變形，結果是吻合的；對大遼河特大橋高樁承臺輕型吊箱的穩定性進行了計算分析；論文研究工作表明，應用組合有限元方法計算大型施工結構問題具有現實意義。 -
This thesis researches on the stability of fibre suspensions applying theoretical, numerical and experimental methods. first the linear stability analysis is performed to fibre suspensions utilizing flow stability, slender - body and orientation tensor theories. the governing equations of channel and pipe suspensions of different stability handling modes and tensor closure approximations are derived
首先綜合應用流體動力穩定性理論、細長體理論以及纖維方向張量工具，對纖維懸浮流進行線性穩定性分析，推導槽流和管流的穩定性方程，並對槽流導出在不同的穩定性分析模式以及不同的方向張量封閉格式下的多種形式方程。 -
In this paper, a brief introduction of hydrodynamic, sediment transport model and its application in engineering projects are reported. 2. the equations are derived using a tensor analysis of two - phase flow, and the background of basic equations and parameters in the numerical model are discussed
本文採用非交錯曲線網格二、三維水流泥沙數值模型研究感潮河道水流泥沙問題，主要內容有： （ 1 ）綜述水流泥沙數值模型的發展概況，及其工程應用。 -
There are two types of pwa method, the non - relativistic paw method and the relativistic paw method which developed from 40 ' s and 50 ' s of twenty century ( including covariant tensor pwa method and helicities amplitude analysis method ). the relativistic covariant full amplitude pwa method is a common way to search for new states in current
本文討論的相對論協變全張量振幅分波分析方法是當前分析實驗尋找新粒子態的一種常用方法，它充分利用了計算機的優勢對所有實驗信息進行擬合，是分析級聯兩體反應的一種簡單而有效的方法。 -
In case of high input dimension system model, taking norm of input vector as the input of wavelet network instead of using tensor product method to construct wavelet network, which could solve the problems of high computation and curse of dimensionality. in the selecting of specific wavelet basis, this thesis first gets initial wavelet basis collection according to spectrum analysis, then gives the least squares regression algorithm to optimize wavelet basis collection based on the least estimation error criteria, which could also initialize the model parameters and increase the speed of convergence
對于具體的模型小波基函數選擇，本文首先對樣本數據進行時頻域分析，根據小波基函數時頻空間覆蓋樣本時頻空間的原則，在小波框架中選擇建模所用的函數集，然後根據估計誤差最小準則，給出最小二乘回歸優選演算法以進一步優化小波基函數集。 -
In addition to showing the solution to linear qd and its analysis, one form of nonlinear qd is discussed. compared with other color diffusion techniques, considering the interactions between channel pairs, qd has the following advantages : 1 staircasing effect is avoided ; 2 as diffusion tensor, the image derivative is regularized without requiring additional convolution ; 3 less time is needed. experimental results demonstrate the effectiveness of linear and nonlinear qd applied to natural color images for denoising by both visual and quantitative evaluations
雖然講四元數用於圖像處理已有了一些研究，但都是研究四元數傅立葉分析四元數小波分析或將簡化的四元數偏微分方程用於灰度圖像處理，而本文第一次將四元數擴散用於顏色圖像處理，這樣的好處包括： 1可以避免一般非線性擴散的階梯效應2四元數擴散不需要對圖像導數進行高斯卷積等歸整化操作3更為省時。
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