gauss function 中文意思是什麼

At last, the probability density function shows multi - fractal characteristic, which is gauss distribution in euclidean space

流體微團的概率密度分佈函數也表現出多重分形特徵

After introducing the conventional edge detection operator and multiscale wavelet edge detection operator, we discussed the well quality of b - spline function > n - class derivative of gauss function n harmonic function and hermite function in wavelet theory and their concrete application in the image edge detection

在對單尺度下的傳統邊緣檢測運算元和多尺度小波邊緣檢測運算元介紹的基礎上，討論了b樣條、 gauss函數的n階導數、諧波函數以及hermite函數在小波理論中所具有的良好性質，以及它們在圖像邊緣檢測中的具體應用。

Besides, the gauss interpolation function and the domain of support which includes much more nodal information than finite element method does is used to make meshless method much more earlier solve the large deformation and distortion and describe the local characteristic ( such as stress locality et al. ) more facilely

並由於在無網格法中採用了高次插值函數和包含有較多節點的支持域（在有限元法中的支持域只包含單元節點） ，從而使得無網格法能方便地處理變形畸變和應力應變局部化等問題。

On the other hand, the conformal deformation ' s problem is to find a metric on h2 ( - 1 ), conformal to g, with the given function k as its gaussian curvature, that is, it is important for us to study the solvability of the conformal gauss curvature equation in geometry analysis. the problem that the conformal gauss curvature equation may have a solution for every nonegative holder continuous function k ( x ) is also an open problem

） = e ~ （ 2u ） g使k是（ ? ）的高斯曲率，即共形高斯曲率方程的可解性研究是幾何分析中的一個重要問題。當預定的函數k取正值時，共形高斯曲率方程解的存在性命題作為一個猜測至今未得到解決。

According to the guidline, two nd : yag lasers have been designed and set up, one is end - pumped by lower output power ld using a selfoc micro lens, and the other is end - pumped by high output power ld using a pair of lenses are designed, and the characteristics such as output power and power stabilization of both solid - state lasers are investigated. thirdly, when an empty liquid crystal cell is inserted in the cavity of the nd : yag laser pumped by high power ld, the laser can operates in single axial mode. finally, according to the relationship between the laser output power and the longnitudinal a ld - end - pumped nd : yag laser sensor for displacement measurement has been investigated theoretically and demonstrated experimently, the results indicate that when the mean radius of pumping inside the laser cavity is far less than that of the oscilating laser mode, the exponential of the output power is a gauss function of the longitudinal positon of focused spot of ld pumping beam, both the measurement range and the sensitivity are dependent on the incident pumping power, as the incident pumping power is increased, the measurement range is enlarged and the sensitivity is improve d

本文首先介紹了ld泵浦nd ： yag激光器的發展狀況、主要特性及其應用，從四能級速率方程出發，推導了ld泵浦nd ： yag激光器的閾值、輸出功率和斜效率的表達式，並簡述了激光器的工作原理、結構型式和倍頻方法；其次，以空間相關的速率方程為基礎，提出了ld端面泵浦nd ： yag激光器的設計方法，給出了一定泵浦耦合方式下，振蕩光模尺寸、最佳輸出耦合率、泵浦光模尺寸、泵浦光焦斑位置等參數的選取依據，以此為依據，設計了自聚焦透鏡耦合小功率ld泵浦nd ： yag激光器和透鏡組耦合高功率ld泵浦nd ： yag激光器，對激光器的輸出功率和功率穩定性等特性進行了實驗研究；再次，在帶尾纖輸出的高功率ld泵浦nd ： yag激光腔內插入一隻空液晶盒，觀察到了激光器以單縱模運轉；最後，根據泵浦光焦斑端面位置對激光輸出功率的影響規律，提出了ld端面泵浦nd ： yag激光位移傳感新方法，並進行了理論和實驗研究，研究結果表明：當激光晶體內泵浦光平均光斑半徑遠小於振西安理工大學碩士學位論文蕩光束腰半徑時，激光輸出功率的自然指數與泵浦光焦斑的縱向位置成高斯變化規律，測量范圍和靈敏度依賴于泵浦功率，隨著泵浦功率的增加，測量范圍擴大，靈敏度提高，當端面泵浦功率為7 . 24w （最大輸出功率為1 . 926w ）時，激光位移傳感器的測量范圍和靈敏度分別是13 . 045mm和0 . 148mw / pm 。

The verification of the algorithm is performed using a gauss - distributed concentration ball and a stock wave at steady flow in an open channel. the comparison with an analytical problem solution shows that the precision and the stability of quasi - consistence hexahedral element method is as good as that of consistence hexahedral element method, better than that of the linear interpolating function method

6 、比較分析了網格布置形式對圓管流動和臺階突擴流動計算結果的影響后表明，應在物理量梯度變化較大的區域適當加密網格，才能較好地模擬這些區域的流動特性以及壁面對整個流動的影響。

The window function of circular hard - edge apertures is simulated and optimized by the laguerre - gauss truncated series, and applied to study the diffraction of gaussian beams and 0 - order bessel - gaussian beams by the hard - edge aperture

摘要用拉蓋爾高斯截斷級數模擬了任意半徑的圓孔硬邊光闌窗口函數，並應用於研究高斯光束和零階貝塞爾高斯光束通過硬邊光闌的衍射。

The mean grey value of ice is 154 using simulation of gauss error function

採用高斯誤差函數擬合，計算得到冰的平均灰度值為154 。

The subsection integral is used to get a simple function at first in the numerical calculation, and boundary integral is realized by gauss integral on each panel and line, then the complexity and isstability as a result of the high frequency surge function can be avoided

數值計算中，首先採用分部積分對被積函數進行簡化處理，然後採用高斯積分實現面元和線元上的積分，避免了被積函數為高頻振蕩函數所帶來的數值計算的復雜性和不確定性。

A hybrid support vector machine based on gauss kernel - function and gauge - group classification algorithm

核函數和規范群分類演算法的混合支撐向量機

Actually, this is to resolve an over - determined nonlinear system including six output values and eight input values. so newton - gauss iterative algorithms is used, set up the target function in the sense of the least squares. it is discussed whether the minimal solution to the function exist and is single one while the astringency of newton - gauss method is analyzed

對于冗餘驅動振動臺，其位姿正解是求解具有八個輸入、六個輸出的超定非線性方程組，因此本文採用了最小二乘法中的牛頓?高斯迭代法，建立最小二乘目標函數，對目標函數極小解的存在性、唯一性以及牛頓?高斯迭代法的收斂性進行了理論證明和分析，將求出的最小值作為位姿正解的最優解。

The structure and characteristic of electronic throttle is introduced and a fuzzy neural network control algorithm based on gauss function is presented

本文介紹了電子節氣門的結構和特點，提出了基於模糊高斯函數神經網路的電子節氣門控制方法。

Determination of parameters for the clipped gauss probability density function

概率密度函數中待定參數的確定

In this paper, we consider the optimal parameter vector a of the modified incomplete gauss _ seidel method ( migs ). we prove that the spectral radius function of the iterative matrix t of migs with parameter vector is strictly monotonic decreasing with respect to a satisfying 0 e if the classical gauss _ seidel method converges for a z _ matrix. some properties of the left and right eigenvectors corresponding to the largest eigenvalue in modulus are given, too. these results are useful to find an optimal parameter for migs

目前主要的方法有兩類：一是充分利用所給矩陣a的特點，採用適當的主元素選取策略，使分解出的因子盡可能地保持稀疏性；二是迭代法。對于第二種方法，迭代矩陣的選取具有決定作用。只有選取的迭代矩陣的譜半徑小於1才能保證迭代法收斂。

It comes up with a new notion, d - solution, which is applied to the distance estimation, by virtue of hilbert space ; furthermore, the dissertation has gained a necessary condition which is identity of minimum mean - square value in linear function classes, so that d - solution extends minimum mean - square value within the domain of nonlinear function equation or equation system ; and, the dissertation studies in detail the classical moment estimation and maximal likelihood estimation on the parameters of ar ( p ), a series of theorems in the estimation section shows the moment estimators are consistent on the ground of large samples jikewise, those distribution functions of the estimated parameters accord to maximum likelihood estimation converge gauss distribution if the white noise is gaussan

首先，藉助hilbert空間理論，提出了距離估計的d -解，給出了d -解的必要條件，這個條件在線性函數類里即是極小二乘估計法， d -解的必要條件滿足的方程實質上將極小二乘估計法推廣到多函數及非線性函數類。再而，詳細地研究了多元弱平穩序列自回歸模型ar （ p ）的參數經典的矩的替代估計和極大似然估計，獲得矩的替代估計的一致性的結果。對基於gauss白噪聲假設多元弱平穩序列自回歸模型的均值、白噪聲的協方差陣的極大似然估計都有依分佈收斂到多元正態分佈的統計性質。

Therefore, spca gotten via selecting polynomial kernel functions is more accurate than pca in multi - index evaluation system, and has fewer dimensions. comparatively, for spca using gauss kernel function and laplace kernel function, it is required to normalize original data according to the category, and the constructed evaluation functions are better than the ones constructed via using pca. however, if variance contribution of first principal component of pca is more than 85 %, evaluation function curves of spca and pca are similar

在作多指標評價中，選用多項式核函數而得到的譜主成分分析，比主成分分析得到的主成分具有維數低且精度高的優點；而用gauss核函數和laplace核函數的譜主成分分析，需對原數據作同類別數據間的規范化，其構造的評價函數也優于用主成分方法構造的評價函數。