least squares equation 中文意思是什麼
least squares equation
解釋
最小二乘方程-
Least squares solution of equation is used to calculate and adjustment transformation matrix at same time, transformation matrix is used to calculate the 3 - axis angle of star sensor. so is very fast and precise
利用方程組的最小二乘解求取轉換矩陣，通過轉換矩陣計算星敏感器的三軸姿態角，使姿態計算和平差同時進行，具有較高的姿態計算精度和計算速度。 -
Second, carried out the fatigue life test of the truck ' s front axles adopted grouping fatigue life test method, calculated the results on theory of probability stats, linear fitted the fatigue life data by means of the basquin equation and least squares method, acquired the mathematical model of s - n and p - s - n curve of the front axles
其次，採用成組試驗法，對汽車前橋進行了疲勞壽命試驗，藉助概率統計方法對試驗結果進行了分析計算，得到了各試驗載荷下的疲勞壽命的正態分佈的均值和標準差，採用basquin關系式和最小二乘法對疲勞壽命數據進行線性擬合，得到了前橋的s - n和p - s - n的關系。 -
The second aspect is the study and application of fitting method after introducing curve fitting method, we will study least - squares procedure used frequently in engineering fields. in addition, we will encode according to item requirement and least - squares procedure algorithm, then using the data picked from image processing to fit the equation we needed
在介紹了曲線擬合方法之後，主要研究工程設計中常用的最小二乘法，根據課題要求以及最小二乘法的演算法要求編寫源碼，將圖像處理后採集來的數據擬合成所需要的方程。 -
The characteristics of the normal equation created in recovering the earth gravity model ( egm ) by least - squares ( ls ) adjustment from the in - situ disturbing potential has been discussed in detail
摘要討論了在基於能量法確定地球重力場模型的過程中，利用最小二乘方法由沿軌擾動位數據解算位系數時法方程的特性，在該問題中，法方程只與衛星軌道有關。 -
On one hand, from the technique of constrained least squares and limited energy of additive noise, an effective restored approach by adopting regularization method to overcoming ill - posed problem, solving an equation with a single variable, and using space iterative algorithm is proposed ; on the other hand, aiming at the restoration of blurred image, another effective restoration approach based on least - square algorithm is also proposed in this paper. this method firstly adopts increment iterative algorithm to improve convergence and meanwhile applies regularization technique to overcome ill - posed problem. in the computations, the regularized parameter has its adaptive character, which can be determined in terms of the restored image at each iteration step therefore automatically correct to the appropriate value
一是從約束最小二乘出發，在加性噪聲能量有界的前提下，採用正則化方法來克服病態問題，通過解一個單變量方程，並利用空域迭代運算實現了一種有效的圖像復原;二是針對模糊圖像的復原問題，從最小二乘演算法出發，採用增量迭代的方法改善演算法的收斂性，同時結合正則化技術克服問題的病態性質，並引入自適應的正則化參數，使其與圖像復原的迭代運算同步進行並自動修正到最優值。 -
In efgm, in order to get a numerical solution for a partial differential equation, the shape function is constructed by moving least squares ( mls ), the control equation is derived from the weak form of variational equation and essential boundary conditions are imposed by penalty function method
它採用移動最小二乘法構造形函數，從能量泛函的弱變分形式中得到控制方程，並用罰函數法施加本質邊界條件，從而得到偏微分方程的數值解。 -
Combining with practical investigation and analysis, the author presented the fitting equation of the second non - uniform coefficient in which the method of least squares error approximation with the power index regression is used and proposed a modified formula for flow rate per second calculation to precisely determine the size of pipeline and to make the design advanced in technology and reasonable cost
本課題分析了室外和室內的設計流量公式，通過調查、實測本地區的水量資料，運用相關數學方法分析，提出了適合小區給水管網採用的流量公式。 -
7. based on the comparison with dual band gps phase and c / acode, ambiguity function method, least squares search, ambiguity solution covariance, cholesky disintegrate and least square ambiguity decorrelation adjustment, it is considered the method of ambiguity function using double gps antennas to move baseline and the equation of dual differential carrier phase
在分析雙頻p碼偽距法、模糊度函數法、最小二乘搜索法、模糊度協方差法、 cholesky分解法、和lambda演算法的基礎上，重點研究基於雙gps天線動一動基線載波相位雙差整周模糊度確定方法。 -
Using gyro measurements during periods of thruster firing, with thruster outputs, mass property identification is achieved through recursive least squares algorithms on the basis of the refined dynamics equation. the approach addresses the issue by segmenting the problem into two sub - problems which both allow closed form solution to reduce computation load
該方法利用衛星上的陀螺輸出和推力器控制指令作為演算法的輸入，在修正的衛星姿態動力學模型基礎上，推導了衛星質量特性在線辨識遞推最小二乘演算法，將質心位置和轉動慣量矩陣的辨識解耦以降低辨識演算法的維數，減少計算量。 -
Least - squares solutions of a class of matrix equation on linear manifolds
線性流行上一類矩陣方程的對稱和對稱半正定最小二乘解 -
2. considering pencil of matrices with centrosymmetric could not satisfy characteristic equations in practice, it was necessary to study the centrosymmetric solution of the matrix equation least square problems, and to give pencil of matrices with centrosymmetric of the least squares problems in model updating
2 .考慮到實際問題中具有中心對稱特點的矩陣束不一定滿足特徵方程，進而研究一類矩陣方程最小二乘中心對稱解及其最佳逼近，從而給出模型修正中的最小二乘中心對稱矩陣束。 -
Least squares symmetric and skew - symmetric solutions of the matrix equation axat bybt
的對稱與反對稱最小范數最小二乘解 -
The least - squares skew - symmetric solution and the optimal approximation on a class of generalized sylvester equation
方程的反對稱最小二乘解及其最佳逼近 -
Lbie, based on the local boundary equation, adopts the traditional moving least squares ( mls ) approximation which depends on only the values of the nodes in the domain of the problem or along its boundary. the whole process of integration is carried on over a local domain or its local boundary centered at the node in question. the local boundary equation can be rewritten to represent the values of the unknown function at the point of interest, and the essential boundary conditions can be directly and easily enforced by using the green formula and the characters of the dirac function
它以局部邊界積分方程為基礎，採用移動最小二乘近似函數，從而只需要分佈在問題域內及其邊界上的節點的信息值，無需劃分單元；整個積分是在以節點為中心的局部域及其邊界上實現，所以不需要背景積分網格；藉助于格林公式及dirac函數的性質，將局部邊界積分方程轉化為所考慮點的未知函數的邊界積分表達式，便於直接施加本質邊界條件。 -
A least squares solution via singular value decomposition is used to solve the matrix equation. computations with synthetic data, where the near field of several typical antenna configurations are got over various geometric surface, illustrate the accuracy of the method
為了證明本方法的計算準確性，我們給出了幾個不同輻射源在不同近場測量幾何面下的近場和遠場計算結果，與解析公式的計算結果相比較，一致性很好。 -
In part one, we dissuss the galerkin method and error estimate for first - kind boundary integeral equation derived by forrowing exterior dirichlet problems then result in superconvergent results by least - squares processing
首先，第一部分討論了由dirichlet外問題：導出的一型邊界積分方程的解法及其誤差，然後進行最小二乘處理后得到超收斂結果。 -
There are many papers ( cf [ l ] - [ 3 ] ) have studied the method and error estimate for boundary integeral equation and elliptic boundary value problems, and obtain some superconvergent results by varied post - processings such as interpolation, average and extrapolation etc. in this paper, we mainly study the galerkin solution for first - kind boundary integeral equation and elliptic boundary value preblem. further more we can obtain superconvergence results by ( l _ ( 2 ) project ion ) least - squares processing for derivative of elliptic boundary value problems
對于邊界積分方程與橢圓邊值問題的解法及誤差估計已有很多文章（參[ 1 ] - [ 3 ] ）研究，並且通過各種后處理如插值、平均、外推等得到一系列的超收斂結果，本文則著重探討一型邊界積分方程galerkin解通過l ~ 2投影（最小二乘）運算元處理后以及橢圓邊值問題的導數進行l ~ 2投影（最小二乘法）處理后可獲得超收斂結果。 -
1. in this thesis, the necessary and sufficient conditions for the existence of and the gerenal expressions for the symmetrizable, semidefinite - symmetrizable and positive - definite - symmetrizable solutions of the equation f1 ( x ) = 0 are obtained, and also, the related least - squares problems are solved
得到了逆特徵值問題f _ 1 （ x ） = 0有可對稱化解，可對稱半正定化解，可對稱正定化解的充分必要條件和解的通式，同時解決了解的最佳逼近問題。 -
Then the constant of peukert equation is calculated from the linear interpolation. simultaneity the characteristic curves of the battery capacity, electromotive force and inner resistance are fitted with least - squares. the maximal of relative error between the calculated values from the models and the experimental data is 2. 59 % under 50a discharge current
利用peukert方程的變形式，用線性插值法計算出鋰離子電池的peukert常數值；利用最小二乘法擬合了該動力電池的容量特性、電動勢和內阻特性曲線；在50a的放電電流下，數學模型的計算值與試驗結果的最大相對誤差為2 . 59 。 -
Abstract : a simple method of searching the least squares solution to the contradictory matrix equation ax = b is given by means of elementarily transforming of the matrices
文摘:用矩陣初等變換的方法給出了求不相容矩陣方程ax = b最小二乘解的一種簡便方法。
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