gaussian density 中文意思是什麼
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Given the initial conditions including ( 1 ) number density distribution in space which has the similar form to the present day ones, ( 2 ) both the power law and gaussian mass functions for clusters, and ( 3 ) two different velocity distributions which one has a constant dispersion and the other is described by the eddington formula, the dynamical evolution of globular clusters in our milky way galaxy is investigated in detail by means of monte carlo simulations
本文採用與觀測結果具有相同形式的球狀星團空間密度分佈函數，在給定兩種球狀星團系統的初始質量譜（冪律的和對數高斯的）和兩種球狀星團系統的初始速度分佈函數（愛丁頓速度分佈函數和常數的速度彌散度）條件下，我們採用montecarlo的方法對球狀星團系統的動力學演化進行討論。 -
A systematic summary of previous work has been given first. then this paper presents a novel multi - stage face detection algorithm, which makes a good use of human face pattern ' s valuable information in colour image sequences. the difficult detection task has been divided into four steps : the preprocessing, which is to gain skin colored regions with human skin color model ; the roughly detection and face region refining by elliptic curve fitting ; the fine detection with facial features " detection and location ; the face / non - face classification step based on pca and gaussian density estimation technique
本文對彩色序列圖像中的人臉檢測和跟蹤技術進行了深入的研究，其具體內容為：對近年來的研究工作進行了系統的介紹；提出了一個由粗到細的多階段的人臉檢測演算法，該演算法充分利用了序列圖像中人臉模式的各種有用信息，將復雜的檢測工作分為了四個部分：膚色區域分割預處理，人臉粗檢及利用橢圓擬和的人臉區域提煉，應用人臉基本特徵檢測和定位的人臉細檢， pca結合高斯概率密度估計的人臉驗證。 -
Abstract : it is essential to research radar clutter with non - gaussian spectrum and non - r ayleigh distribution in modern radar design. based on spherically invariant rando m process ( sirp ), this paper applies a new algorithm to model the clutter with k d istribution in amplitude and any power density spectrum. at last it is proved tha t thi s method is correct and applicable with real simulative clutter and statistical detection result
文摘:研究並模擬具有非瑞利幅度分佈和非高斯功率譜的雷達雜波是現代雷達信號處理中的一個重要的研究課題.文中基於球不變隨機過程（ sirp ）的建模方法，針對實地採集的幅度滿足k分佈並具有有理功率譜的高解析度雷達雜波，運用現代譜估計演算法對其進行建模和模擬，並以模擬雜波與實際雜波的數據對比和統計檢驗的結果對該方法進行了驗證 -
In order to make the theoretical calculation feasible, we first obtain an analytical formalism of partial integrals with respect to the coordinates of the core and target in the phase - shift functions and their cross terms of scattering matrix elements, if the density distributions of the core and target are fitted to a few gaussian forms. then the rest multidimensional integrals with respect to the impact parameter and coordinates of halo nucleons are performed by a monte carlo method
為使理論計算變得可行，我們在核芯和靶核密度採用多個高斯分佈擬合的情況下，解析求解了各個散射矩陣元中的光學相移函數及交叉項含有的與暈核核芯、靶核密度分佈有關的積分;同時對與碰撞參數和暈核子坐標有關的積分（八重以上，並且積分維數隨暈核子數很快增加）採用蒙特卡洛方法計算。 -
Comparing with the current observations, which include the number density distribution in space, mass function, etc., the so - called standard modes for both the power law and gaussian cluster initial mass functions are selected among many runs of simulations. the deviation from the standard modes, which is resulted from the change of the parameter for the initial conditions, is discussed in detail. the discussion of the model parameters is also presented although they are adopted as the typical values based on previous work
對應一定的初始分佈我們發現無論是冪律的還是對數高斯的球狀星團初始質量譜經過長時間的動力學演化都會得到和現在銀河系觀測到的球狀星團系統相符的對數高斯的質量分佈；動力學演化會明顯地改變球狀星團系統的空間密度分佈，靠近銀心區域的球狀星團瓦解得更多；經過動力學演化后的球狀星團速度分佈函數在靠近銀心的區域明顯得不同於初始分佈，初始擁有較大軌道偏心率的球狀星團更容易瓦解。 -
When the radar is narrow band, radar target is studies as a point target. target and clutter are modeled as having a zero - mean complex gaussian probability density function ( pdf ). target is assumed as slowly - fluctuant
窄帶條件下，雷達目標可以看作是一個點目標，假設目標和雜波都服從零均值的復高斯分佈，目標為慢起伏。 -
Particularly an analytical expression for the longitudinal momentum distribution is derived if the density distribution of halo nucleons is assumed as a gaussian type function. a direct connection of the width of the momentum distribution to the bound state wave function of halo nucleons is established
特別是在暈核子的縱向和橫向密度分佈可分離的情況下，如高斯密度分佈，進一步求解了縱向動量分佈寬度的解析形式，建立了分佈寬度與暈核子束縛態波函數之間的直接聯系。 -
Chapter 4 : the paraxial propagation of partially coherent beams with the hermite - gaussian mode is investigated. the more generalized and simple expressions of the mean squared width and the beam quality factor of the beam with different mode order are obtained in terms of the cross - spectral density. our re - sults show that the higher order strengthens the variations of the mean beam width and the beam quality factor for partially coherent beams, and the relation between the two parameters of partially coherent beams is independent of the coherence length
第四章：初步探索了部分相干厄米高斯光的傍軸傳輸，根據交叉光譜密度得到了其不同模階數的平均光束束寬和光束質量因子更一般的解析表達式，較高的模階數使得光束展寬得越快，光束質量變差，且這兩個光束參量的關系與部分相干厄米高斯光的相干長度無關。 -
The intracavity photon density and initial population inversion density are assumed to be gaussian distributions instead of plan wave assumption, based on this assumption, the rate equations of diode - pumped intracavity - frequency - doubled passively q - switched laser are modified. through solving these space - dependent rate equations numerically, the results under different assumption are compared. 5
將腔內光子密度和初始反轉粒子數的平面波近似修正為高斯分佈近似，獨立地導出描述二極體泵浦內腔倍頻-被動調q激光器的速率方程，並通過數值求解該方程比較了兩種近似下脈沖特性的不同； 5 .實驗驗證了2中提出的實驗方案，並對實驗結果進行了分析。 -
As examples, heterogeneous anisotropic fractured rocks of which the autocorrelation functions of crack number density can be described as 2 - dimensional exponential ellipsoidal or gaussian function were simulated especially. the results show that : 1 ) the random distribution characters could be different for different elastic constants under the same random distribution of crack number density. 2 ) the exponential ellipsoidal heterogeneous anisotropic random fractured model could be a suitable model for the multi - scaled and self - similar heterogeneous media
模擬結果表明： 1 ）彈性常數的分佈特徵與裂紋數密度的分佈特徵不相同，並且裂紋數密度對不同的彈性常數有不同程度的影響； 2 ）指數橢圓型隨機裂縫模型適用於模擬具有多尺度、自相似的特性非均勻裂縫巖石； 3 ） gaussian型隨機裂縫模型適用於模擬單尺度、平滑的非均勻裂縫巖石。 -
In order to obtain the laser beam with better beam quality, less spot diameter and higher power density in laser manufacturing ( lm ), gaussian beam used in lm was transmitted and transformed
摘要為了獲得光束質量較好、光斑尺寸較小、功率密度較高的、適合激光加工的激光束，對激光加工中的高斯光束進行傳輸與變換。
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