normal equations 中文意思是什麼
normal equations
解釋
正規方程-
As it can be expressed easily by argument equations, we use the conicoid as the criteria of points " classification. based on the point ' s normal and the adjacent field, corresponding to the conicoid equation such as plane, ball and cylinder, we search the points that fit the equation along the adjacent field. using this method, we realized the automatic classification of unorganized points
本文採用了可以比較方便地用參數方程表示的二次曲面作為數據點的分類標準，根據點的法向量以及其鄰域結點的各種屬性，對應于平面、球面、柱面等二次曲面，依據曲面方程的特點，從起始點開始沿鄰域深度優先遞歸尋找符合方程的數據點，實現了散亂數據點的自動分類。 -
This is called a normal system of differential equations.
這稱為正規微分方程組。 -
Very general systems of differential equations can be reduced to the normal form.
形式很普通的微分方程組可以化為正規的形式。 -
Based on the normal form obtained above, a global perturbation method is utilized to give the analysis for the global bifurcations and chaotic dynamics of the rotor - ambs system. the global bifurcations analysis indicates that there exist the heteroclinic bifurcations and the silnikov - type homoclinic orbit in the averaged equations
利用全局攝動法研究了電磁軸承-轉子系統的全局分叉和混沌動力學，利用數值模擬方法分別對平均方程和原方程進行了分析，得到了的描述系統混沌運動的相圖和波形圖，從而驗證了理論結果的正確性。 -
It is demonstrated that the solution for 141 000 order normal equations for a simulated astro - geodetic network ( 47 057 points ) and a space one ( 476 points ) iterates 4 993 times to converge to 1 10 - 18 second, taking 28 min and 47 seconds, on a pii / 233 computer, showing over 40 times more efficiency, as compared with the coefficients unadjusted
利用模擬的天文大地網（ 47057點）和空間網（ 476點）在pii / 233微機上解算14 . 1萬階方程組共迭代4993次（收斂至1 10 - 18角秒） ，花費機時28分47秒，與未進行系數調整相比，功效提高40多倍。 -
After being improved, the gear surface contact fatigue strength obeys weibull distribution and stress obeys normal distribution, the gear bottom bend fatigue strength and stress obey logarithm normal distribution, according to the relation of average safe rate and reliability, then the gear strength reliability design and check equations can be deduced
將齒面接觸疲勞強度按威布爾分佈、應力按正態分佈處理，將齒根彎曲疲勞強度和應力均按對數正態分佈處理，再根據平均安全系數和可靠度之間的關系，推導出了齒輪強度可靠性設計和校核公式。 -
A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. the finite - difference of governing equations with fourth - order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations. the combination of global and local methods is implemented, and a new iterative formula is derived
對于曲線坐標系下的拋物化穩定性方程，文中發展了求解的高效數值方法:引進法向變換，使得在臨界層與壁面之間的擾動量變化最快的區域有更多的法向網格點;導出包含邊界鄰域在內的完全四階精度的法向有限差分格式，這對方程精確離散至關重要;採用全局法和局部法相結合的方法及其新的迭代公式，大大加速收斂並得到更精確的特徵值。 -
Two sets of equations for those parameters were built the normal solutions of those equations sets given, in their optimal state and limit state respectively
參照運籌學中目標規劃的有關理論，利用估算參量建立了最優狀態方程組與極限狀態方程組，並給出了這兩個方程組的一般解法。 -
Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations
第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。 -
This paper deals with the solution for 200 000 order normal equations in combined adjustment of astro - geodetic and space networks by using conjugate gradient method, puts forward a scheme of adjusting the coefficients and a strategy of separation as well as mergence between the adjustment and inversion
本文研究了用共軛梯度法解算天文大地網與空間網聯合平差中20萬階法方程的有關問題，提出了「系數調整策略」和「平差與求逆既分又合的策略」 。 -
Equations of mesh, shorting contact line, undercutting limit line, meshing limit lines and the existence conditions, angle between the direction of relative speed and the direction of contact line, induced normal curvature about every point on the contact line are established. moreover, the paper also theoretically analyzed the error of the grinded gear surface. on the basis of the theory, the computer program is worked out to automatically produce the contact line and the boundary curves of mesh. analysis of meshing circs under different parameters can be done so that we can gain the best process condition
首先對漸開面二次包絡理論進行了深入的探討，推導出了兩次嚙合的嚙合方程式、瞬時接觸線方程式、根切界限線方程式、嚙合界限線的方程式及其存在條件，相對運動速度方向與接觸線方向的夾角及接觸線上各點的誘導法曲率；此外，還對磨齒后工件的齒面誤差進行了理論分析；並在理論基礎上編制了相應的計算機程序，自動生成接觸線族及嚙合界限線，對不同參數條件下的嚙合情況進行分析，可以使工藝條件達到最佳狀態；最後研究了磨齒裝置，設計了磨齒機的傳動系統。 -
Tooth surface equations and contact line equations of the involute worm gearing are established according to its machining methodology. meshing characteristics in rigidity condition are studied. these characters include the inductive normal curvature along the contact line on the worm surface, the first and the second limit lines during the engage of the worm gear, and the influence of the intersect angle between the contact line the relative velocity of the worm and the gear on transmission performance
根據漸開線圓柱蝸桿傳動的創成方法，建立了漸開線圓柱蝸桿和蝸輪的接觸線方程式、齒面方程式，分析了漸開線圓柱蝸桿傳動的剛性嚙合特性，如蝸桿與蝸輪嚙合時的誘導法曲率、一類界限曲線、二類界限曲線和蝸桿與蝸輪間相對速度方向和接觸線方向的夾角對傳動性能的影響； 2 -
Finally a set of equations with initiate values for boundary value problem is established where the velocity potential and its normal derivative are unknowns. because the model includes the effects of both the time and space to the velocity potential of free surface, it can be applied to strong nonlinear wave. as examples, solitary wave is computed in the numerical flume
推導給出計算域內以所有節點波勢函數和波面位置高度的時間增量為未知量的線性方程組，並同時考慮時間因素和空間變位對波面勢函數的影響，在預設的計算精度下，通過時步內的循環迭代逐一確定每個時步上的波面運動位置，從而建立了一種可適于求解強非線性波浪變形計算的數值模式。 -
The relation between deformation of bar under normal force and node displacement is analyzed and applied to setting up compatibility equations of deformation for statically indeterminate problems
摘要分析了軸向拉壓桿件的變形與桿端結點位移之間的關系，並將其應用於拉壓超靜定問題變形協調方程的建立。 -
Based on the analysis about the test requirements and the saturated magnetization of the armor plate, the excitation magnetic circuit satisfying the testing condition and a validation system are designed. because the geometric, of the magnetic leakage at the direction of the normal of the roundness fault has the feature of two peaks : a positive and a negative, using the linear regression and the software matlab, two regression equation are proposed : one is about the peak value of the magnetic leakage and the diameter and depth of the roundness fault ; the other is the distance between the two peaks and the diameter of the roundness fault. the result of the validation system proves that the two equations are valid, and an applied method using for quantificationally inspecting the roundness faults is proposed according to the two equations
根據實驗要求，通過對鋼板達到飽和磁化的必要性進行的分析，設計了符合試驗條件的勵磁磁路，並設計了一套實驗驗證系統；根據圓形缺陷法線分量漏磁場幾何圖形正負雙峰值的特點，採用線性回歸擬合的原理和matlab軟體及其統計工具箱中的相關函數，給出了圓形缺陷漏磁場幾何圖形的峰峰值與圓形缺陷的直徑和深度以及峰峰值間距與圓形缺陷直徑的兩個回歸擬合方程，並通過實驗驗證系統驗證了擬合方程的正確性，利用這兩個簡單實用的擬合方程，提出了一種工程定量檢測圓形缺陷的應用方案。 -
A direct iteration method in solving normal equations by means of bidirectional asynchronous integral has been successfully exploited, so that it can efficiently overcome the difficulty in solving two - point boundary value problems resulting from inverse stability between state equation and co - state equation
文中提出雙向異步積分迭代求解正則方程組的直接迭代法，較好解決了狀態方程和協態方程穩定性相逆給求解兩點邊值問題帶來的困難。 -
The multiple method of scale is used to obtain the averaged equations in primary parameter resonance. from the averaged equations, the theory of normal form is applied to find the explicit formulas of normal form associated with a double zero and a pair of pure imaginary eigenvalues with the aid of the maple program
利用多尺度方法得出了主參數共振情況下的平均方程，利用normalform理論對具有雙零特徵值和一對純虛特徵值的平均方程進行了簡化，得到了平均系統的normalform 。 -
In this dissertation we mainly study normal family of meromorphic functions, uniqueness of meromorphic functions, complex oscillation of differential equations in the complex domain and the value distrbution of quasimeromorphic mapping. the main works are following : 1
本文主要研究亞純函數正規族，亞純函數唯一性、復域內微分方程解的復振蕩及擬亞純映射的值分佈問題。本文主要工作簡述如下：一 -
This paper stated the application of parallel link mechanism in modern machine tools, set up the error analysis as to parallel link mechanism in the virtucal - axis machine tool, derived the double triangular error equations of parallel link mechanicsm in its horizontal posture, analyzed the linearity and non - singularity of the error equations, thus giving the normal splution to the horizontal posture error. the error distribution law is simulated as to the center line in the workplace, and the error distribution curves are drawn as well
該文對並聯機構在現代機床上的應用作了論述，建立了虛擬軸機床並聯機構的一種誤差分析方法，應用坐標變換原理導出了雙三角並聯機構水平姿態時的誤差方程組；分析了誤差方程組的線性和非奇異性，給出了水平姿態時的位姿誤差正解；對工作空間中心線的誤差分佈規律進行了模擬，繪制了其誤差分佈曲線。 -
Then a new system of nonlinear equations can be formed from the variation gray of same point in multiple images and the optimum solution of the system can be obtained from gauss - newton and levenberg - marquardt algorithms, so that the normal vector at that point of the surface can be defined
再根據多幅圖像上固定位置一點的灰度值變化列多個非線性方程，以gauss - newton演算法和levenberg - marquardt演算法為基礎求非線性方程組的最優近似解，將選取點的法向量確定下來。
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