數學近似式 的英文怎麼說

中文拼音 [shǔxuéjìnsìshì]
數學近似式 英文
mathematical approximation
  • 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...
  • 近 : Ⅰ形容詞1 （空間或時間距離短） near; close 2 （接近） approaching; approximately; close to 3 （親...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 數學 : mathematics
  • 近似 : approximate; similar; approach; approximation; roughness; propinquity
  1. The striking fact about heron's work is his commingling of rigorous mathematics and the approximate procedures and formulas of the egyptians.

    Heron的工作突出之點是他把嚴密的數學同埃及人的近似方法和公式融合在一起。
  2. The main results achieved in this thesis can be summarized as follows : 1. by means of the fourier series expansion, an approximate analytical propagation equation of flattened gaussian beams ( fgbs ) passing through an apertured paraxial abcd optical system is derived, and illustrated with numerical examples, when the transmissivity of the aperture is t ( x ) = cos ( x )

    用傅立葉級數展開法研究了平頂高斯光束通過有光闌限制的近軸abcd光學系統的傳輸特性，導出了光闌透射率為t （ x ） = cos （ x ）時的近似解析傳輸公式，硬邊光闌的情況可作為= 0的特例得到。
  3. This article describes the development process of surrogate models and introduces some experiment design methods and approximation approaches that can be used for a mdo surrogate model, they are full factorial experiment design, orthogonal experiment design, uniform experiment design, central - composite experiment design, and polynomial response surface method, kriging method, radial basis function method and artificial neural network

    為此本文中分別介紹了正交試驗，均勻試驗以及中心復合試驗等幾種試驗設計方法，以及多項式響應面， kriging ，和徑向基函數等幾種數學近似方法。並且通過構造描述機翼展向升力分佈的代理模型，對上述幾種方法作了對比分析。
  4. Nuclear reaction is the important mechanism for causing single event upset as well, especially for high - energy protons. all the formula needed for simulating proton - induced radiation effects are deduced. to bypass the obstacle of lacking nuclear reaction parameters of high - energy protons interacting with silicon, the author successfully obtained the necessary nuclear reaction cross sections by combining an intranuclear cascade nuclear reaction model with monte - carlo simulation, which are applied to the calculation of seu

    整理、推導了數值模擬所需要的計算公式及連續慢化近似下的輸運方程，自行編制了輻射屏蔽計算程序、單粒子效應計算程序、熱?力學效應計算程序，並對所有計算程序進行了對應的驗算，計算結果與公開發表的理論或實驗結果相符合。
  5. For the purpose of discovering the near - globally optimal solution, this paper proposed a hybrid approach of ant colony algorithm and sequential quadratic programming ( sqp )

    摘要為了獲得整體近似最優解，提出採用蟻群演算法，搜索發電機可運行狀態的最優組合，並對蟻群演算法的數學模型進行分析，以參數的形式給出具有普遍意義的收斂性定理。
  6. According to the faults of traditional direct torque control and the requirement of an induction motor ' s control strategy, the author changes the method of regulating stator flux to make its path approximate to a circle as possible as could and put forward a new way to use a three - value torque regulator

    本論文研究了異步電動機的數學模型，介紹了直接轉矩控制的基本原理，並根據傳統直接轉矩控制存在的缺點以及對電動機調速性能的要求，改變對定子磁鏈的調節方式，使定子磁鏈軌跡近似為一圓形。
  7. However, the die attach layer delaminated after 500 cycles and pcb cracked in the underfilled samples after long time cycling. c - sam is employed to investigate the delamination in the underfilled samples. highly concentrated stress - strain induced by the cte mismatch between the bga component and the pcb board, coarsened grain and two kinds of intermetallic compounds ( nisn / nisns ) which formed during reflow and thermal cycle and their impact on the reliability of solder joints are discussed in this paper

    充膠樣品粗化尤為嚴重； ? ni - sn金屬間化合物包括兩層：其中，靠近ni焊盤的那層比較平整，同時， eds結果分析表明其化學式近似為nisn ，而靠近焊料的那層呈板條狀，化學式近似為nisn _ 3 ，文獻表明其為亞穩相； ?充膠使得樣品最大應力范圍降了接近一個數量級並降低了dnp的作用，同時，器件失效模式變為晶元粘接層分層； ? c - sam結果表明本論文採用的充膠樣品，晶元粘接層分層起始於500周左右，而經過2700周循環的樣品，分層幾乎擴展到整個界面。
  8. In order to predict hydrodynamic characteristics a computational system is developed including determination of the pressure distribution on a wing section by use of the conformal mapping method and panel method respectively and of the flow in boundary layer according to the thin shear layer approximation ( tsl ) for navier - stokes equation approach. the wing sections of naca4412 and naca0012 are applied to test the computational system. the numerical inspection shows that the panel method with better precision and the momentum and the displacement thickness of boundary layer can be used to complete this calculation

    本文分別用守屋的保角變換法和基於源匯渦分佈的面元法，建立了計算槳葉表面壓力分佈的數學模型；應用納維-斯托克方程的薄層近似理論模式和有限差分數值方法，建立了計算機翼表面邊界層內部流動的數學模型；應用槳葉表面邊界層內部粘性流動和外部勢流流動在邊界上的匹配演算法，建立了槳葉表面二相流流動的計算方法和相應的計算機程序。
  9. Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered

    本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識，並以頻譜理論作為主要研究工具，對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究，給出了廣半bent函數定義，並探討了廣半bent函數的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件；討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系，探討了它們的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法，並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上；利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法，還給出了從已有的p值k階擬廣義bent函數出發，遞歸構造變元個數更多的p值k階擬廣義bent函數的方法；初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用；給出了一類布爾函數walsh譜的分解式，並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造，特殊情形下為k階擬bent函數；利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵，並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。
  10. The author ' s work gives new way, which is beneficial to real time interaction and can efficiently reduce computing time as well as data storage amount. these algorithms can find good use in numerical machining, robotics, form - position tolerance and computer graphics. ( 3 ) degree reduction for nurbs curves and surfaces by applying the theory of the best uniform approximation of chebyshev polynomials and the explicit matrix representation of nurbs curves, this thesis centers on the research of the explicit nearly best approximation of multi - degree reduction of nurbs curves

    以上關于等距曲線的幾何逼近與代數逼近的演算法改革了當前國際圖形界只能對基曲線沿法矢方向平移定距離的點作近似逼近的固定模式，創造了利於交互操作，能有效地減少計算量及數據存儲量的新方法，可在數控加工、浙江大學碩士學位論文機器人、形位公差學、計算機圖形學中獲得很好的應用（ 3 ） nurbs曲線曲面降階應用nurbs曲線的顯式矩陣表示及chebyshev多項式逼近理論，以實現nurbs曲線顯式一次性降多階的近似最佳逼近為目標進行了研究
  11. It ' s the first time clearly and systematically to present the concepts of restraint influence coefficient of steel to strain increment, to curvature increment and to deflection increment due to creep which are different each other. theoretical formulae are established, and approximate formulae are also obtained while considering the characteristics of common - used concrete and ambient condition of real bridges in china. so, an approximate restraint influence coefficient method to analyze the effect due to creep and shrinkage in pc bridges is put forward, and the equations to estimate second - force due to creep considering influence of steel in system - transferred continuous pc bridges is also established

    本文首次清晰而系統地提出了鋼筋對徐變的不同效應（徐變應變、徐變曲率、徐變上拱）約束影響系數的概念，建立了相應的計算式；結合我國普遍採用的混凝土的徐變特性和橋梁的構造特點及工作中南大學博士學位論文摘要環境特徵，給出了具有較高計算精度的實用計算式;在此基礎上，建立了橋梁徐變效應近似分析的鋼筋約束影響系數法，並推導出了考慮鋼筋影響的超靜定梁徐變次內力的近似計算式，可方便地應用於橋梁研究和設計中。
  12. 2. for the problem with size, stress and displacement constraints, the stress constraint is transformed into movable lower bounds of sizes, the displacement constraint is transformed into an approximate function which explicitly includes design variables by using mohr integral theory. a mathematical programming model of the optimization problem is set up. the dual programming of the model is approached into a quadratic programming model

    2 .對于尺寸、應力和位移約束的問題，將應力約束化為動態下限，用單位虛荷載方法將位移約束近似顯式化，構造優化問題的數學規劃模型，將其對偶規劃處理為二次規劃問題，採用lemke演算法進行求解，得到滿足尺寸、應力和位移約束條件的截面最優解。
  13. Further, analyse the characteristic of the seismic wavefield of fractural reservoir and the influence caused by fracture density, property of the filled material and the strike of fracture. fifthly, in term of research of zhangshulun et al., concisely discuss the arithmetic of the plane wave forward modeling and migration with phase shift method, in prestack common offset gathers and check the arithmetic by numerical simulation

    第四，用基於彈性?聲學近似的反射系數計算公式和本文提出的付氏變換子波生成法得到縫洞模型的反射系數模型和子波模型並用vrselrf波場延拓運算元對其進行地震波場數值模擬；進一步分析了縫洞儲層的地震波場特徵及縫洞密度、充填物性質和裂縫走向對其波場特徵的影響。
  14. With the consideration of the vertical wave effect of soil and soil - pile interaction, an approximate analytical solution to vertical vibration of pile system with variable impedance in visco - elastic layered soil is developed. a simplified and practical mathematical model for interaction between soil layers is proposed, and its applicability is theoretically investigated. based on this model and by using laplace transforms and the transmit property of impedance function, the analytical expression of the impedance function and solutions of the displacement and velocity response function in frequency domain and in time domain at the pile head are derived

    4 、從三維軸對稱土模型出發，對考慮樁土耦合作用、土層層間聯系以及樁周土豎向應力梯度變化條件下的成層粘彈性土中完整樁及變阻抗樁系統縱向振動問題進行了研究，提出了成層土中變阻抗樁系統縱向振動問題的近似解析解法和樁周土層層間相互作用的簡化而實用的數學模型，並利用拉氏變換和阻抗函數的傳遞性，獲得了成層土中任意段變阻抗樁樁頂阻抗函數的解析表達式，以及樁頂速度導納和時域速度響應解析解和半解析解。
  15. The trigger time of decision - making is handled as random variables. after computing the expectation on the distribution function, the approximate solution can be got by employing numeric techniques to the target function that involves european option pricing formula

    通過把決策觸發時間隨機化以及針對分佈函數求數學期望等手段，可以利用歐式期權定價公式得到問題的數值近似解。
  16. The system can automatically evaluate the decolorization of cpt by tracking the position of concave spot. the vibration of aperture grille will affect the display characteristic, and it is difficult to found a correct vibration analysis function because of its complicated structure

    對新型的張緊式蔭罩影響顯示屏特性的主要原因? ?振動進行了近似分析，由於蔭罩面結構、類型復雜，難以建立準確的數學振動模型，振動特性難以正確的數學表示。
  17. The important parts of this work consist of : 1. the high frequency asymptotic evaluation of wave equations in nonhomogeneous medium by maslov ' s method is systematically studied, and formulations of the high frequency asymptotic evaluation in nonhomogeneous medium which varying only in one direction are constructed

    本論文的工作作為國家自然科學基金地震波傳播與成像項目（ no . 40174032 ）的一部分，得到如下結果： （一）論文分析了利用maslov方法求解非均勻介質中波動方程高頻近似解的基本原理和求解過程，構造了介質系數只在一個方向變化時波動方程高頻近似解的通用計算公式。
  18. In the dynamic method, starting from the analytical solutions of the cw equations, the flying - around orbit is proved to be an ellipse centered at the reference satellite, and its description parameters are presented, hi the kinetic method, flying - around conditions and equations in kinetic form are obtained by first order approximating, and the description parameters of the relative orbit are given

    動力學方法從cw方程的解析解出發，證明了繞飛軌道是以參考衛星為中心的橢圓，定義了繞飛軌道的描述參數並給出了其表達式。運動學方法通過一階近似，得到了運動學形式的繞飛條件和繞飛方程，給出了繞飛軌道各參數的表達式。
  19. We give a mathematical proof for the model - approximately independence of anc coefficient. combining a concrete nuclear reaction, we check up the model - approximately independence of anc coefficient with numeric calculation. under the el transition condition, a expressions with anc coefficient to compute the cross section of radiative capture reaction has been given in this thesis

    我們對anc系數的近似模型無關性給出了一個數學形式理論證明，並結合具體的核反應，利用數值計算驗證了anc系數的近似模型無關性；在e1躍遷情況下，我們給出了一個用anc系數計算輻射俘獲反應截面的計算公式。
  20. It is always impossible to obtain accurate mathematics model for the practical industrial processes. the model under which the controller is designed is usually different to the real plant owing to model reduction, linearity approximations and the ignoring of the dynamics difficulty for modeling, the changing of the operating environment and other unmeasurable disturbances

    在實際工業過程式控制制中要想完全準確地建立被控對象的數學模型是非常困難甚至是不可能的，通過模型降階近似，非線性特性的線性化近似，以及忽略對象難以建模的動態特性、外部工作環境的變化和各種不可測干擾之後所得到的對象模型跟實際對象的特性存在一定的差距，這種差距往往可以看成是系統模型的一種不確定性。
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