least squares theory 中文意思是什麼
least squares theory
解釋
最玄乘法理論-
At first, this paper analyzes the factors of water - sand influencing water level of yellow river and the feasibility just using the factors of water - sand to study water level, and collects the corresponding data ; secondly, because there are strong nonlinear relation in the corresponding data, by meticulous theory analysis, this paper integrates basic nonlinear analysis method, theory of random analysis, method of least squares and so on. it puts forward a method which can get the high accuracy simulation of the data, perfects the multi - factor analysis of variable ( over three factors ) of the statistic ; thirdly, it applies the method to the approximation of corresponding water level process which belong to the capacity of sand of middle - high and middle - low, and get the high - accuracy simulation about the typical nonlinear relation ; at last, this paper definitudes the main influence mode that the capacity of sand. it mainly unite with other factors to work on the water level in the yellow river lower reaches ; mor eover, this paper analyzes the difficult point and the direction of improvement to realize the accuracy forecasting of the flood level of erodible - bed channel
首先，系統分析了影響黃河水位的水沙因素，及僅用水沙因素有效研究水位的可行性，並按變量對應思想採集它們的相應數據；其次，由於相應水位過程數據中含極強的非線性關系，本論文經細致的理論分析，將基本的非線性分析方法、統計建模方法、隨機分析理論、最小均方誤差原則等等數學理論及方法有機揉合，提出了能有效實現這類數據高精度擬合的分層篩選法，並改進了統計學中多因子（三個以上）方差分析法；再次，將這一方法用於黃河中高及中低含沙類洪水相應水位過程的擬合，實現了這一典型非線性關系的高精度擬合，各年汛期上下游相應洪水位過程的擬合誤差都較小；最後，明確黃河下游含沙量對水位的主要影響方式，即含沙量主要是與其它因素聯合對水位作用；另外分析了要實現變動河床洪水位過程準確預報的困難所在及改進方向。 -
We select ni / cr alloy resistor as element together with ceramic embedding hearth ; select small flat - and - disc heat - even hubby ceramic sample holder, select ni / cr & ni / si thermoelectric couple ( type k ) as thermoscope with threads 0. 5 mm in diameter which is installed in the middle of the holders symmetrically ; select aluminum silicate fire - retardant fiber as materials for heat preservation ; design some hardware, for example temperature controller & transporter, signal amplifier etc ; design controlling curve to heat stove ; and introduce the method of least squares nonlinear regression and subsection function to deal with data. in order to obtain the reasonable operation conditions and operation curve, we have also done many theory analysis and experiment discussions
通過理論和試驗探討，選用鎳鉻合金電阻絲作為加熱元件，配以陶瓷質埋入式爐膛；選用陶瓷質小尺寸扁平?圓盤均熱塊體型樣品支持器；選用0 . 5mm絲徑鎳鉻?鎳硅熱電偶（ k ）作為測溫元件；熱電偶對稱安置在樣品支持器容器的中部；選用硅酸鋁耐火纖維作保溫材料；合理選用和設計了溫度控制器、溫度變送器、信號放大電路等硬體；採用升溫曲線來控制爐膛供熱過程；採用最小二乘法非線性回歸與分段函數相結合的曲線模擬方法，進行圖形處理。 -
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。 -
On the theory of bearing cross localization, the algorithm puts forward nonlinear equations of bearing and position variables, then convert the nonlinear equations to linear equations, and finally gives multiple - vessel localization algorithm based on least squares theory and considering bearing accuracy factors
該演算法的實質是基於多艦偵察設備的測向角度、位置信息，利用純方位交叉定位原理，建立非線性觀測方程；通過泰勒展開將非線性系統轉化為線性系統；利用最小二乘原理並考慮測向精度的權重因素，提出了多艦的定位模型。 -
Specially for the particularity of the path - length control system in the laser gyros consist of total reflecting prisms and the necessity of identifying the parameters in the system, the mathematical model of the temperature control system in the trp laser gyros is presented, and three new identifying algorithms are deduced in theory based on the method of the least squares : algorithm of immediately identifying, algorithm of instrumental variables and recursion algorithm
摘要針對全反射棱鏡式激光陀螺腔長控制系統的特殊性及其模型參數辨識的必要性，給出trp激光陀螺溫度控制系統的數學模型，並基於最小二乘法從理論上分析推導出3種新型參數辨識法：直接辨識演算法、輔助變量法和遞推演算法。 -
With the basis of nonlinear least squares theory, the system of nonlinear equations is established by minimizing the error quadratic sum of theoretical and actual gray level of the points on the typical surface, and the parameters of the illumination models can be determined by means of the least - squares procedure
以非線性最小二乘理論為基礎，以典型曲面上各點的理論灰度值與實測灰度值的誤差平方和最小為目標建立非線性方程組，通過求解非線性方程組來確定光照模型的各個光照參數。 -
The study is based on this era, expatiate the theoretical and realize signification of the study about csi from the plutonomy of maxis. review the actuals and history of the study about csi in country or nation, analyze the method and theory of csi, evaluate the classical method of testing and evaluating the csi - the method of fornell emphatically, and anatomize the core of the fornell - pls ( partial least - squares regression )
本課題的研究正是基於csi研究的這種時代背景，從馬克思主義政治經濟學的角度闡述了csi研究的理論和現實意義，回顧了國內外csi研究的歷史和現狀，對構建csi的理論方法進行了深入的探析，重點評述了csi測評的經典方法? ? fornell方法，並剖析了fornell方法的內核? ?偏最小二乘回歸方法（ pls方法） （ partialleast - squaresregression ） 。 -
Considering the network " s situation, the place and number of measure points ' s setting is more effective in future. the steps of reduced gradient optimal method is used on solving the least squares theory model
一般中小型管網的監測點數量為節點總數的1 5 1 6 ，考慮到西寧管網的實際情況，在測點位置和數量上為今後的發展留有餘地。 -
Stochastic subspace identification method is the major in this article, and this method is based on the theory of projection of row space, and also uses qr decomposition, svd decomposition as well as least squares estimate to state space matrices of the discrete system so as to achieve the parameters of the dynamic behavior and it can achieve an accurate result
隨機子空間法是本文的論述重點，它運用了行空間投影的理論，通過qr分解和svd分解以及最小二乘估計來識別離散后的系統狀態空間矩陣，從而得到系統的動力學特性參數，識別精度較高。本文詳細的推導了隨機子空間法的理論公式，並編寫出相應的matlab程序。 -
As to the polyreference implemention of the least - squares complex frequency - domain estimator in mathematical separation technique of modes, this thesis builds a right matrix - fraction description model to estimate the system poles. then frequency point stabilization diagram is set up and analyzed to automatically determine natural frequencies, modal damping ratios and modal participation factors. finally mode shapes are identified based on the least squares theory
對于模態數學分離技術的多參考點最小二乘復頻域識別技術，先建立右矩陣分式頻響模型，識別出系統極點，再通過建立和分析頻率點穩態圖，能自動的確定出結構的固有頻率、模態阻尼比和模態參與因子，最後根據最小二乘原理識別出模態振型向量。 -
The unconstrained and constrained linear matrix equations and related least squares ( l - s ) problems have been of interest for many applications, including particle physics and geology, control theory, the inverse sturm - liouville problem, inverse problems of vibration theory, digital image and signal processing, photogrammetry, finite elements and multidimensional approximation
例如在粒子物理學和地質學， sturm - liouville逆問題，自動控制理論的逆問題，振動理論的逆問題，數碼影象和信號處理，航空投影測量學，有限元及多維逼近問題等方面都有重要的作用。 -
Through proper linear transformation of the origional model, we obtain the educed models which are all sigular models. we peform the uniform theory of least squares getting the best linear unbiased estimates of the coefficents and the ordinary least squares estimates
因為這時模型協方差陣結構仍含有方差參數，因此我們的目標是尋求可行估計。我們通過對原模型做適當的線性變換，獲得了導出模型，這些模型都是奇異線性模型。 -
Aimed at the character of the agriculture system, the least squares support vector machine prediction model is given based on the principle of the statistical learning theory and structural risk minimization
針對農業生產系統的特徵，在統計學習理論和結構風險最小化原理的基礎上，建立了基於最小二乘支持向量機的時間預測模型。 -
In the research of the algorithms and theory of temporal difference learning, a new class of multi - step learning prediction algorithms based on linear function approximators and recursive least squares methods is proposed, which are called the rls - td ( t ) learning algorithm. the convergence with probability one of the rls - td ( t ) algorithm is proved for ergodic markov chains, and the conditions for convergence are analyzed
在時域差值學習（ temporaldifferencelearning ）學習演算法和理論方面，首次提出了一種基於線性值函數逼近的多步遞推最小二乘td （ ） （ rls - td （ ） ）學習演算法，並分析和證明了該演算法在求解遍歷markov鏈學習預測問題中的收斂條件和一致收斂性。 -
As for the latter, based on linear quadratic regulator theory and linear quadratic gaussion theory, discussion is carried about parameter optimum of ved whose mechanical model is an equivalent stiffness and equivalent damping one. according to linear quadratic regulator theory matrix elementary transform and least - squares method, formulas about parameter optimum of ved are achieved
在粘彈性阻尼器參數優化方面，採用等效剛度和等效阻尼為力學模型，基於線性二次型高斯（ lqg ）最優控制問題和線性二次型（ lqr ）最優控制問題的理論對ved的參數優化進行了討論。
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