線性化多項式 的英文怎麼說

中文拼音 [xiànxìnghuàduōxiàngshì]
線性化多項式 英文
linearized polynomial
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 項 : Ⅰ名詞1 （頸的後部） nape （of the neck） 2 （款項） sum （of money） 3 [數學] （不用加、減號連接...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  1. In various speech character parameters, formant frequency, bandwidth and pitch frequency are chosen as voice character parameters. the reasons are as follows : hearing apperceive experiments indicates that formant frequency can stand for a majority of voice information, while average pitch frequency can explain 55 % ability of speaker verification

    數據結果與多項式回歸和線性多變量回歸相比，支持向量回歸既提高了泛化性能又避免了頻譜不連續性，從而使轉換語音與目標語音的頻譜距離失真分別減少了33 . 29 %和35 . 24 % 。
  2. Therefore rath may be used as an exploratory tool to test a given equation has solutions of the assumed form

    因此rath可作為一個測試非線性演化方程是否擁有雙曲正切多項式形式的孤波解的有效實用的工具。
  3. Based on the idea of subordinate meshes, we bring forward a new method of weighted volume which is used for constructing linear interpolation polynomials. besides, according to the eno interpolation on unstructured grids, a class of linear interpolation polynomial is developed on irregular quadrilateral grids and allows very small oscillation. program in fortran is given for a remapping algorithm developed by caiqingdong

    另外，根據非結構網格的eno插值的思想，構造了四邊形網格網眼內的線性插值多項式，由於利用其插值點自適應選取的特性，在物理量變化劇烈區域選取最光滑區域的點來插值，雖然不能保持單調性，但只允許出現非常小的振蕩。
  4. In this paper, the circuit used for testing sheet resistance is designed using single chip processor. additionally, we have expressed van der pauw function as a polynomial form through local and global reversal development by using the normalized polynomial match, being convenient not only for programming, but also for sheet resistance testing when using van der pauw and rymaszewski methods

    本文還利用單片機系統設計了薄層電阻測試電路，對于程序中用到的范德堡隱函數，利用非線性反演和規范化擬合的方法推導出其多項式顯函數形式。這不僅給對我們編寫程序提供了方便，也為使用范德堡法和rymaszewski法測量薄層電阻提供了便利。
  5. Based on the representation of interval rational bezier curves and surfaces and by a serial of mathematical transformation, the degree reductions of them are converted to those of polynomials with upper bounds, then several algorithms are presented, with linear programming and optimal approximation methods. by relaxation of some constrained conditions, approximation effects of some of them are further improved

    根據區間有理bezier曲線、曲面的特點，通過一系列數學變換，將其降階問題轉化為多項式的保上界降階逼近，再應用線性規劃和最優逼近方法求解，給出幾種逼近演算法，並探討通過約束不等式的鬆弛，進一步改進逼近效果。
  6. In this paper, it s applications were explained from seven different fields, the common zeros of two polynomials, the multiplicities of roots and the discrimination of a polynomial, searching the equations suitable for a algebraic number, implicating a rational curve over the plane, computing the zeros of a nonlinear algebraic equation and gathering the discrimination surface of the sas in automated theorem proving on inequalities

    本文從7個方面闡述了結式的應用，包括判斷2個多項式的公共零點，判定多項式是否有重根，計算多項式的判別式，尋找代數數滿足的方程，平面有理曲線的隱式化，非線性代數方程組求解和不等式機器證明中半代數系統邊界曲面的獲得等。
  7. The mostly conclusion of this part is as follows, on the conditon of travelling wave, the exact solitary wave solutions to some nonlinear wave equations such as sawada - kotera equation, kaup - kupershmidt equation, the fifth order kdv equation, fisher - kolmogorov equation, on the help of the computer algebraic system ( maple ), are explicitly established by making use of the hyperbolic function method. this part is maken up of three sections

    本部分的主要結論如下，利用雙曲函數展開法，在行波條件下，對sawada - kotera方程， kaup - kupershmidt方程，五階kdv方程， fisher - kolmogorov方程，等幾類非線性波動方程求解，將其孤立波表示為雙曲函數的多項式，從而將非線性波方程的求解問題轉化為非線性代數方程組的求解問題，並藉助于計算機代數系統求解非線性代數方程組，最終獲得了這些非線性波動方程的若干精確孤立波解。
  8. The method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and controls, thus converting the optimal control problem into a nonlinear programming problem. the method is remarkably robust to initial guesses, which is better than traditional method

    這種方法利用了近些年來發展起來的直接優化技術，用分段多項式來表示整個軌道的狀態和控制向量，將最優控制問題轉化為非線性規劃問題來研究。
  9. On the basis of displacement - time series of the slope, a nonlinear dynamic model is set up according to backus generalized linear inversion theory in this paper. due to the equivalence beween autonomous gradient system and catastrophe model, a standard cusp catastrophe model can be obtained through variable substitution. the method is used in analysis of displacement data of huangci landslide and wolongsi landslide and in understanding how slopes evolve before sliding. the result shows that the nonlinear dynamic model can make satisfactory prediction result. is it most important that there is a sudden fall of d, which indicates the occurrence of catastrophe ( when d = 0 )

    研究表明，滑坡變形失穩過程具有混沌和分維特性，可以用分形理論來研究滑坡預測問題，基於對任一連續函數，至少在較小的鄰域內可以用多項式任意逼近的數學理論，運用改進的backus廣義線性反演理論，以斜坡位移時間序列為基礎，反演了斜坡演化的非線性動力學模型。並利用自治梯度系統與突變模型的等價性，通過變量代換得到標準的尖點突變模型。
  10. Layout input pole length ' s locus when the mechanism follows kadang movement in two ways. one is multinomial curve locus and the other is linearity intermixed by parabola curve locus. we study the displacement > velocity and acceleration curve consulting time under variety velocity characters, and get the best curve and the best velocity character, which will have a very important significance for kadang movement ' s input control of this mechanism

    對卡當運動輸入桿件的伸長進行了軌跡規劃，採用了多項式與混有拋物線的線性函數作為規劃軌跡，研究了不同速度參數條件下的位移、速度、加速度的時間變化曲線，給出了最優曲線和最優速度，這對于機構卡當運動輸入控制的實現和優化具有重要意義。
  11. First, according to the orthonormal quality and the rational choice of working point of the sonar array three shafts frame, the structure of the models is predigested preliminarily ; secondly, according to the quality indexes and the coupling quality between frames, relatively small quantum is neglected. so the complex non - linear coupling models of the sonar array are predigested farther ; lastly, considering the characteristic of the model coefficient matrix, the methods of the low rank polynomial approach and the error simulation are introduced. so the models are predigested again

    首先從聲納基陣框架結構的正交性和工作點的合理選擇出發，使模型的結構得以簡化；其次根據系統性能指標及框架間耦合性強弱，忽略相對小量，對聲納基陣復雜的非線性耦合模型進一步簡化；最後考慮模型系數矩陣的特點，運用低階多項式逼近和誤差模擬的方法，實現了對模型的再次降階簡化處理。
  12. First. adjust the fiber to get the interferogram, use the four - step phase shifting method control the change of phase, achieve phase shifting. in data processing, take the pzt ' linear influence into account, calibrae the pzt. unwrapping the phase, gain the continuity, get the actual phase. analyzing the data with zernike orthogonal methord, fit polynomials that are not orthogonal over the data points, through visual c + + program, obtain polynomial parameters. calculate the shape of the surface, compare the result with zygo, then achieve the better experimental result

    首先，經光纖耦合輸出調整得到干涉圖，採用四步相移方法，控制干涉圖位相變化，實現相移；數據處理過程中，考慮壓電陶瓷的非線性影響，進行標定；對位相進行模式展開連續性處理，得到實際位相；用zernike多項式正交化方法分析，在離散點上處理數據，經visualc + +程序設計，得到多項式系數，計算出面形分佈，同zygo所得結果進行比較。
  13. The precision duhamel integration solution for the linearization equation is also given from the theory of linear differential equation. the calculating results show that the new method can improve the calculation precision greatly. in fact, the truncation error is not limited by this method, it can arrive the precision according to the requirement

    本文的主要工作有以下幾個方面: （ 1 ）由於非線性項的存在，使得多數情況下難以得到非線性動力方程的解析解表達式，目前常使用數值積分方法來求解非線性動力學方程的解，但常規計算方法的計算精度不很理想，本文提出了含taylor展開項中高階余項的非線性動力方程的線性化數值計算方法，構造了瞬態線性化方程，給出了duhamel積分的表達式。
  14. In the computational methods of tpbvp, in order to reduce some difficulties involved in solving a tpbvp via adjoint variables, we discuss a direct method in which state and control variables are indirectly parameterized, the method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables, thus converting the optimal control problem into a nonlinear programming problem, which can be solved numerically. it makes the initial iterative variable more easy to be determined

    在數值解法中，為了減少解決兩點邊值問題共軛變量帶來的困難，主要討論了將狀態變量和控制變量進行參數化的一種直接方法，這種方法採用了近段發展起來的使用分段的多項式來代替狀態和控制變量的直接優化方法，然後最優控制問題就轉化成可以用數值方法解決的非線性規劃問題，使得迭代初值更加容易選取。
  15. Comparing to polynomial regression and linear multi - variant regression, support vector regression can not only enhance the generalization ability but also avoid the discontinuousness in spectrum, and the spectrum distance distortion from converted voice to target voice are reduced to 33. 29 % and 35. 24 % respectively

    與多項式回歸和線性多變量回歸相比，支持向量回歸既提高了泛化能力又避免了頻譜不連續性，使轉換語音與目標語音的頻譜距離失真分別減少了33 . 29 %和35 . 24 % 。
  16. One of most effectively straightforward methods to construct travelling solitary wave solutions is tanh - function method. the algorithm is based on the fact that the solitary wave solutions are essentially of a localized nature. seeking solitary wave solutions which are in terms of hyperbolic tangent function gives a nonlinear system of algebraic equation

    尋求非線性演化方程孤波解的雙曲正切方法是直接代數方法中最為有效的方法之一，其基本原理是利用非線性演化方程孤波解的局部性特點，將孤波解表示為雙曲正切函數的多項式，從而將非線性演化方程的求解問題轉化為非線性代數方程組的求解問題。
  17. It is shown that randomized algorithms can decrease the computational complexity dramatically instead of seeking worst case guarantees. in addition, examples in this paper show that employing randomized algorithms is very efficient and has obvious advantages especially when uncertain interval parameters appear multilinearly or nonlinearly in the characteristic polynomial coefficients

    研究表明，在不考慮最壞情況的意義下，隨機化演算法可以顯著降低計算復雜性，另外，當不確定區間參數以多線性或非線性的方式出現在特徵多項式系數中時，採用隨機化演算法具有明顯的優點並且是非常有效的，文中給出了計算實例。
  18. Secondly, analytical solution is developed for one - dimensional non - homogeneous consolidation of one - layer soil and double - layered soil respectively based on the assumption that the modulus of compressibility of soil varying linearly along depth. furthermore, the semi - analytical solution for one - dimensional consolidation problem of layered non - homogeneous soft clay stratum is presented and programmed. by using the analytical and semi - analytical solutions, the one - dimensional non - homogeneous consolidation behavior of one - layer soil and that of multi - layered soil are investigated in detail

    其次，分別得到了土體壓縮模量隨深度線性變化的單層和雙層非均質地基一維固結解析解，以及滲透系數和壓縮系數隨深度任意變化的成層非均質地基一維固結半解析解及其計算程序，並以滲透系數和壓縮系數是深度的多項式函數的非均質地基為例對單層、多層非均質地基的一維固結性狀進行了詳細研究。
  19. Thirdly, the valence electron structure of ceramic multiphase in ti ( c, n ) based cermets were calculated by eet theory, the results showed that na increased with additions of carbides, the order was vc > mo2c > nbc > wc > tac. based on the valence electron structure, the relationship between composition and wettability was set up through multiple linear and polynomial regressions

    最後通過eet理論計算了多元陶瓷相價電子結構，結果表明，添加不同碳化物均能導致n _ a增加，對價電子n _ a增加的效果由大到小依次為vc mo _ 2c nbc wc tac ；以價電子結構為橋梁，通過多元線性回歸及多項式回歸建立了成份與潤濕性的關系。
  20. Problem c and problem d are also dual. they have a dual property that there are at least three " critical points " corresponding to an optimal straight - line in problem c and there are at least three " critical straight - lines " corre - sponding to an optimal point in problem d. from these properties, these four non - linear prob - lems could be transformed into combinatorial problems and could be solved by algorithms with polynomial - time iterations

    問題c和問題d也是對偶問題。問題c和問題d也有很好的對偶性質：在問題c中，對應於一條最優直線，至少存在三個「臨界點」 ；在問題d中，對應於一個最優點，至少存在三條「臨界直線」 。基於這種性質，這四個非線性優化問題便轉化為組合問題，從而得到迭代次數為多項式的演算法。
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