least squares 中文意思是什麼
least squares
解釋
線性最小二乘法-
Abstract : artificial neural networks has been applied to simultaneous determination of fluorene and acenaphthene by ultraviolet spectrophotometry. after compared the results of the synthetic samples obtained from the method above mentioned with those from partial least squares ultraviolet spectrophotometry, it shows that satisfied prediction can be obtained by them
文摘:用人工神經網路-紫外吸光光度法不經分離同時測定芴和苊，並與偏最小二乘-紫外吸光光度法比較.對合成樣品進行分析.結果表明，人工神經網路法同偏最小二乘法一樣能獲得滿意的分析結果 -
To overcome the disadvantages of the linear calibration methods such as mlr and pls, least - squares support vector machine ( ls - svm ) is introduced to nir quantitative calibration in this thesis. for a set of diesel cetane number ( cn ) samples, the ls - svm model obtains the best performance in the cn prediction, compared with the mlr and pls model
為克服mlr與pls等線性校正方法的局限性，本文將最小二乘支持向量機（ ls - svm ）演算法用於近紅外光譜的定量校正，並以一批柴油十六烷值樣品數據為例對以上方法進行了比較。 -
Research on multi - photo collinear condition constrained least squares matching and its application of traffic
附有約束條件的最小二乘影像匹配及其在交通事故中的應用 -
The adjustment model of gps network with least squares collocation
網平差模型及其應用 -
Then discusses its properties, such as biased property, relative efficiency of generalized variance and superiority comparisons between generalized ridge estimation and generalized least squares estimation. shows iterative algorithm based on the mean dispersion error
該估計雖然具有偏崎，但其估計精度具有良好的性質，如：有偏性、方差一致最優性、相對于廣義最小二乘估計的廣義方差效率、 mde ? ?有效性等。 -
The dispersion model, with axial dispersion only was used to describe the liquid flow in the downcomer. the model parameters were fitted by the least - squares method. it was found that the curve of dispersion model fitted the experimental rtd curve well
本文利用一維軸向擴散模型對降液管中液體流動進行了數學描述，用時間域最小二乘法擬合了模型參數，模型方程所作曲線與rtd曲線吻合較好。 -
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。 -
Petrov - galerkin least squares mixed element method for the stationary incompressible magnetohydrodynamics
最小二乘混合元方法 -
For a set of gasoline samples, multivariate linear regression ( mlr ) and partial least squares ( pls ) calibration models are built to predict research octane number ( ron )
針對一批實際生產裝置的汽油樣品，採用近紅外光譜定量分析中常用的多元線性回歸（ mlr ）與偏最小二乘（ pls ）方法，建立了汽油研究法辛烷值nir光譜預測模型。 -
The laser radar sub - system determines the heights of the tsp according to the slant height and the oblique angle measured by the laser range finder and the electronic theodolite simultaneously. by lucubrating the motion law of tsp, we decided to compute decent velocities with least - squares procedure & two ranks curve fitting
地面激光雷達跟蹤測量分系統根據測量到的斜距離和俯仰角確定末敏彈傘彈系統的高度，在深入研究末敏彈穩態掃描過程的運動規律后，通過最小二乘法的二階分段曲線擬合，計算出落速。 -
General total least squares problem ; svd decomposition ; singular values ; singular vectors
廣義完全最小二乘問題奇異值分解奇異值奇異向量 -
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。 -
We make the following assumption for when 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of least squares estimate have been discussed in many documents. considered 2 is nonnegative definite matrix, this thesis derives best linear unbiased estimate of parameter matrix b and estimable parameter function kbl under the meaning of matrix nonnegative definite and the property of maximum probability of blue is investigated. next, we discuss some necessary and sufficient conditions of the equality of the lse and blue, then we derive the estimation of the deviation bet - ween the least squares and the best linear unbias estimators of the mean matrix, meanwhile a relative efficiency of lse ofb is proposed and its bound is given
當0時，眾多文獻討論了回歸系數陣的各種估計及lse的有效性，本文考慮了當0的情形，給出了回歸系數陣b及其可估參數函數kbl的在矩陣非負定意義下的最優估計（ blue ） ，研究了它的一個最大概率性質，並且討論了最小二乘估計成為最佳線性無偏估計的充分必要條件，在此基礎上給出了均值矩陣的最小二乘估計與blue的偏差估計，定義了lse相對于blue的一個相對效率，並給出了它的界。 -
The elastic foundation model is considered as two - parameter elastic foundation model and its effect to moderate - thick plates are taken into account by a set of governing differential equations. united with hu hai - chang ’ s function, least squares collocation weighted residual method which uses b - spline function as trial function is put forward for solving the bending problems. compare with the results of finite element method of lines, spline finite strip method, accurate solution of series etc. it is proved that the method in this article has adequate accuracy and practical feasibility
本文採用瑞斯納中厚板理論求解彈性地基板，建立雙參數地基與中厚板相互作用的控制微分方程，結合胡海昌的解耦函數，運用雙五次b樣條函數作為試函數的離散型最小二乘加權殘值法分析了雙參數地基上的中厚板的彎曲問題，並將結果與有限元線法、有限條法、級數精確解等進行比較，證明本文方法具有足夠的精確性與實際的可行性。 -
Using the least squares method to modulate the inclined cable forces both in forward analysis stage and backward analysis stage, the tensile inclined cable forces during construction will be get finally
最後採用最小二乘法對正裝和倒拆兩個步驟中得到的索力進行修正，得到施工中的斜拉索的張拉索力。 -
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。 -
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。 -
Using three - dimensional tomographic imaging results of 2 ? 2 ? grid s wave velocity and 15 ' 15 ' grid average gravity anomaly in north china, this paper adopted inversion with constrained least squares method and, as a result, obtained density distribution results of six bedding surfaces in lithosphere of north china
摘要利用華北地區的2 ? 2 ?網格s波速度三維層析成像結果和15 ? 15 ?的網格平均布格重力異常，採用約束最小二乘方法反演，得到了華北地區巖石圈內6個層面上的密度分佈結果。 -
Forecasting calorific value of coal with the method of least - squares support vector machine
應用最小二乘支持向量機預測煤的發熱量
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