數學乘方 的英文怎麼說

中文拼音 [shǔxuéchéngfāng]
數學乘方 英文
power mathematical
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 學 : Ⅰ動詞1 （學習） study; learn 2 （模仿） imitate; mimic Ⅱ名詞1 （學問） learning; knowledge 2 （學...
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 數學 : mathematics
  1. 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。
  2. Finally, the method of estimating power customer emission level based on binary linear regression is put forward, which make it a condition that harmonic emission is steady at the point of common coupling. combined with power system thevenin equivalent and customer norton equivalent, according to the principle of least squares method, the voltage that a customer ' s harmonic current begets at the point of common coupling can be estimated in the light of the plural correlation of network parameters

    最後，提出了基於二元線性回歸的用戶諧波發射水平估計方法，該方法在假設公共聯接點諧波發射穩定的情況下，結合系統側戴維南等值與用戶側諾頓等值的電路圖，按照最小二乘法原理，利用電網各參數的復數關系推導關于系統側諧波阻抗的二元線性回歸方程，並根據諧波阻抗的估計值求取用戶諧波電流在公共聯四川大學碩士學位論文（ 2003 ）接點產生的電壓降。
  3. Also, the author ’ s design strategy and creativity has been given in this paper. specifically, it includes : based on the feasibility analysis of the fit selection of control parameters in the aeration process, the aeration process of wastewater treatment of the joint - constructional complete - mixed activated sludge process has been aimed at in this paper. then, the state equations of the aeration process have been proposed in this paper, which is on the base of dissolved oxygen concentration ( do ) and discharge quantity of sludge ( qw ) as control variables, the concentration of bod and sludge as state variables. based on the present study on optimization control of wastewater treatment, the multivariable optimal control model with restriction factor has been presented in the paper with introducing modern control theory and system analysis into the field of activated sludge wastewater treatment,

    具體包括:以完全混合、表面曝氣合建式活性污泥工藝的污水處理曝氣過程為研究對象，在闡述了曝氣過程式控制制參數選取可行性的基礎上，建立了以溶解氧濃度do和活性污泥排放量qw為控制變量，以曝氣池中有機物濃度s和微生物濃度x為狀態變量的活性污泥曝氣過程的基本狀態方程;運用現代控制理論的觀點和污水處理理論，在現有關于污水處理最優控制問題研究的基礎上，建立了有約束條件多變量能耗最小數學模型，該數學模型是以有機物排放總量和狀態變量的末值條件作為約束條件，曝氣過程的能耗最小作為目標泛函;採用增廣拉格朗日乘子法對最優控制問題進行轉化，並對應用極大值原理求解能耗最小這一最優控制問題進行了詳細的解析;引入約束運算元，應用具有控制約束的共軛梯度演算法對能耗最小這一最優控制問題進行求解，並進行模擬實驗驗證。
  4. The second is that for a complicated system, for example, with many loops as well as many controllers, it is very difficult to give the direct relation between the parameters of processes and that of controllers

    這主要有以下幾方面原因：一是在工業環境下，對被控過程難以進行精確的數學描述。由於工業噪聲所表現出來的多樣性，最小二乘類等參數辨識方法的應用受到很大的限制。
  5. Method of ascertaining main effecting factors in dam mathematics safety monitoring model during construction period is studied. and dam safety monitoring model during construction period is founded, including statistic model, deterministic model and hybrid model. moreover, traditional regression model is improved, based on deeply studying robustified least squares method

    （ 2 ）研究了大壩施工期數學安全監控模型中各主要影響因素的確定方法及因子的選擇原理，並建立了大壩施工期安全監控模型（統計數學模型、確定性數學模型和混合數學模型） ；此外，在深入研究抗差最小二乘法的基礎上，對傳統的回歸模型進行了改進。
  6. On the basis of the research on the channel transit capacity of single vessel, and with the combination of previous research methods, a comprehensive assessment model is set up in view of the effective width of the channel ; the passing depth of the channel ; the time taken for passing at high tide. some new viewpoint are developed from the mathematical analysis on the width of the track belt

    針對基於單船的航道通過能力的研究，結合以往研究方法，確定了以航道有效寬度、航道通航水深及乘潮歷時為考察對象的綜合評定模型，針對將數學方法結合數值模擬對航跡帶寬度的求解提出了一些新的見解。
  7. The ten - wavelength pyrometer is developed for the demand of china jiliang university. the mathematical model is based on brightness temperature. the data is processed with least square fitting and the software is programmed with vc + +

    本課題是應中國計量學院要求設計的一臺十波長高溫計，採用的是基於亮度溫度的數學模型，數據處理採用最小二乘擬合方法，軟體採用vc + +編寫。
  8. The water quality respond relation of input - output measurements are established by systematic theory in this paper. according to the peculiarity of hydrology and the necessity of water quality inverse problem the multi - parameter inverse problem model based on ordinary differential equation is developed. the existence and uniqueness of the solution of the ordinary differential equation about two parameters or multi - parameter are to be proved. the unstability depending on errors between monitoring data and interpolation approximate data are analyzed and demonstrated. cubic spline interpolation function, the least two multiply and positive rule method are conjoined for obtained solution of multi - parameter. the results from this algorithm indicats its efficient to the multi - parameter identification in water quality modeling

    本文應用系統理論，建立了水質多參數輸入輸出之間的響應關系；根據河流水文水質變化特點和參數反問題的需求，建立了水質常微分方程多參數反問題模型.根據常微分方程參數反問題的數學理論，作者給出了兩參數和多參數水質常微分方程反問題的解的存在性、唯一性的理論證明過程和結論；還針對水質現有監測資料的測驗誤差和插值近似計算誤差造成參數反問題的不穩定性，將三次樣條插值函數、超定方程最小二乘法和正則化演算法有機地結合使用，成功地給出了水質參數反問題的穩定化演算法.最後給出了應用計算結果
  9. Many functions such as field information map, contrastive map of yearly yield, prescription map, etc. can be made. in order to improve using accuracy of agricultural gps, by analyzing the error of point, polyline, polygon, several methods are produced such as arithmetic average value, least squares, adding control points, etc. their principles, features and limitations are also analyzed and discussed. the mathematic model of average error method included in adding control points is established

    為了進一步提高農用gps的使用精度，研究了提高精度的方法，通過對點、線、面等誤差的分析，提出了應用算術平均值法、最小二乘法、加入控制點法等多種提高精度的方法，分析和討論了它們的原理、特點與應用局限性，並建立了加入控制點法中的誤差平差法的數學模型。
  10. The second chapter reveals the mathematical essence of entropy regularization method for the finite min - max problem, through exploring the relationship between entropy regularization method and exponential penalty function method. the third chapter extends maximum entropy method to a general inequality constrained optimization problem and establishes the lagrangian regularization approach. the fourth chapter presents a unified framework for constructing penalty functions by virtue of the lagrangian regularization approach, and illustrates it by some specific penalty and barrier function examples

    第一章為緒論，簡單描述了熵正則化方法與罰函數法的研究現狀；第二章，針對有限極大極小問題，通過研究熵正則化方法與指數（乘子）罰函數方法之間的關系，揭示熵正則方法的數學本質；第三章將極大熵方法推廣到一般不等式約束優化問題上，建立了拉格朗日正則化方法；第四章利用第三章建立的拉格朗日正則化方法，給出一種構造罰函數的統一框架，並通過具體的罰和障礙函數例子加以說明。
  11. As a result, the concept of state space for conceptual design of mechanical system is presented, which is new to the literature, based on the set of all state vectors. meanwhile, the properties of state vectors, which are vectors addition, constant multiplying, reversible driving, zero vectors, are discussed in state space. secondly, the dual - vector is introduced to descript the essential relation among the input and output characteristic vectors as well as sms

    按照狀態空間中對偶特徵矢量的運算規則，在已知系統的輸入輸出特徵矢量的情況下，通過數學推導求解，將形成的系統狀態變換矩陣分解為多個狀態變換矩陣的乘積，再通過各狀態變換矩陣到數據庫中尋找相應的基本變換單元集合，然後進行按序組合，進而從理論上獲得相應的方案設計可行解。
  12. M there are considerable number of research concendng finie elemen method on contat problem and lot of techniques such as iteraion methd, mathematics propoming, penalty method, langrange multiplier and so on hav been developed, it is not easy to popularize the presemed methods to engineering. " field due to their complicate techniques. ms prompts the author to develop an wash that is simpler in techniques and can be @ plied to geotecilllital problems iv with less difficulty

    雖然目前接觸問題有限元計算已有大量的研究成果，所提出的求解方法也很多，如直接迭代法、數學規劃法、罰函數、 langrange乘子法等，但其求解技巧普遍比較復雜而不易在工程領域推廣應用，在巖土工程中的應用則更少，因此，本文的主要工作是建立一種比較簡單、方便、能夠用於工程問題的接觸問題的計算方法，而其關鍵是相應的有限元計算公式的建立。
  13. The extrusion is successfully divided into three ideal stages through the analysis on the pressing force and displacement curve in the process of extrusion. the mathematical model of three import and one export about extrusion velocity, temperature, extrusion force and displacement was constructed by the combination of first order classic least - square algorithm and least - square linear identifying, and the steady control to extrusion force was realized

    採用一次經典最小二乘演算法和最小二乘在線遞推辨識相結合的方法，建立了以擠壓速度、溫度和位移為輸入，擠壓力為輸出的三輸入單輸出數學模型，同時對于在擠壓過程壓制階段中出現的不穩定現象，提出了合理的解決方案，能夠對擠壓過程壓制階段的壓制力進行較好的預測。
  14. 2. several mathematical tools used in mspc are introduced, including principal component analysis ( pca ) and multi - way principal component analysis ( mpca ), principal component recursion ( pcr ), partial least square ( pls )

    2 、介紹了幾種用於多變量統計過程式控制制的數學工具，包括主元分析及多向主元分析、主元回歸、部分最小二乘等方法。
  15. In the rls - td ( t ) learning algorithm, the eligibility traces mechanism and the recursive least squares methods are combined together so that better convergence properties can be obtained in learning prediction problems. 2

    Rls - td （ ）學習演算法同時結合了遞推最小二乘參數估計方法和適合度軌跡（ eligibilitytraces ）機制，從而能夠獲得比已有演算法更好的收斂性能。
  16. The advantages of efgm are : only nodal data are necessary, high accuracy can be achieved and preprocess and postprocess is easy, etc. the mathematical basis of efgm is the moving least squares approximation

    該法只需節點信息，不需將節點連成單元。此外，還有精度高、前後處理方便等優點。移動最小二乘法是無單元迦遼金方法的數學基礎。
  17. The advantages of efgm are : ( 1 ) only nodal datas are necessary, i. e. there is no need to join nodes into elements ; ( 2 ) high accuracy can be achieved ; ( 3 ) postprocess is easy, etc. the mathematical basis of efgm is moving least squares method

    該法只需節點信息，不需將節點連成單元；此外，還有精度高、后處理方便等優點。無單元伽遼金法的數學基礎是移動最小二乘法。
  18. 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 。
  19. After deriving the mathematical equations, a comparison between the ls and the ml estimators was performed

    在獲得了相應的數學模型后，對最小二乘估計和最大似然估計方法進行了比較。
  20. His canon of logarithms begins : “ seeing there is nothing that is so troublesome to mathematical practice, nor doth more molest and hinder calculators, than the multiplications, divisions, square and cubical extractions of great numbers, which besides the tedious expense of time are for the most part subject to many slippery errors, i began therefore to consider in my mind by what certain and ready art i might remove those hindrances

    他的對數規則一開始是這麼寫的：龐大數字的乘法、除法、平方和立方的數學方法十分麻煩，計算起來又相當繁雜，不僅花費大量時間，而且非常容易發生錯誤，於是我開始構思有什麼方法可以解決問題。
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