程函近似 的英文怎麼說

中文拼音 [chénghánjìnsì]
程函近似 英文
eikonal approximation
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 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...
  • 程函 : eikonal
  • 近似 : approximate; similar; approach; approximation; roughness; propinquity
  1. Evading risk in financial trading market cries for pricing options to a nicety. asian option, as the most flourish options in the finace market, the pricing has been focused on always. the exact pricing formula for the geometric average asian option had existed, but as to the european - style arithmetic average asian option, due to the dependence structure between the prices of the underlying asset, no analytical formula exists. on the hypothesis that the market is frictionless and without transaction costs 、 on the base of b - s ’ s and in the binomial tree model, we provide several algorithms for computing an accurate value of the european - style arithmetic average asian option. following rogers and shi and by jensen ’ s inequality, many different upper and lower bounds are provided ; meanwhile a formula have got by the comonotonicity and approximating the distribution function. all of the algorithms are easy for programming. with the development of computer, more accurater price can be computed quickly. and numerical example proved that these algorithms are very accurate

    對于幾何平均亞式期權它的定價相對簡單，已經給出了定價公式。對于算術平均亞式期權，它的未定權益具有軌道依賴特性，一直沒有得到它的定價方程的解析解形式。本文基於對市場是無摩擦且在沒有交易費用的情況下，在b - s模型下，利用二叉樹模型給出了算術平均亞式期權定價方法;並總結了利用jensen 』 s不等式給出的各種不同情況下的上下界;同時應用共單調性和近似分佈函數的方法也給出了算術平均亞式期權價格的近似公式。
  2. In the scheme of the atomic interferometer based on the uccc, we discuss the approximate solution of atomic matter wave - function in double - channel magnetic guide, and analyze the evolution of transverse wave function in the process of atomic interference and show the probability distribution after the interference

    利用在u -型載流導體基礎上構建的原子干涉儀，討論了雙通道磁導引中物質波波函數的近似求解。此外，還分析了干涉過程中橫向波函數的演化，並給出了物質波通過干涉儀后的干涉條紋。
  3. A new kind of generalized energy is proposed as the lyapunov function, and thereby resulting in a new criterion of generalized nonlinear symmetric stability. it shows that not only must the dissipative coefficient be greater than a certain critical value but the initial disturbance amplitude must be synchronously smaller than another marginal value as well

    從含摩擦耗散的f平面上boussinesq近似下的非線性方程組出發，提出了一種新的廣義能量作為lyapunov函數，導得了一種新的非線性對稱穩定性判據：即不僅耗散系數大於某一臨界值而且同時初始擾動振幅小於另一臨界值。
  4. But difficulty in maths will come forth when meeting high spin particles if we using such method. on base of the characteristic of energy space, we obtained the wavefunctions and geometric phase by the trial function method in this paper. the berry phase of the system are also obtained after an evolution period

    文中在絕熱近似下根據自旋粒子能級間隔特點用嘗試波函數法求出了旋轉磁場中高自旋粒子系統的波函數及幾何相位，解決了用一般方法求解時出現高階微分方程的困難。
  5. Essential to their utility is the requirement that the evolution of the basic functions through the propagation environment constitutes a simplified problem with an exact or approximate closed form solution to the original wave equation. the evolution of a spatial fourier harmonic through a homogeneous medium is governed by a reduced wave equation, obtained by applying the fourier transform to the helmholtz equation, with a simple and well - known solution - the plane wave

    這些方法均採用一組具有全局特性的基本函數對波場進行分解，如占據整個空間的富氏調諧函數或充滿各個方向的dirac函數（點源） ，並通過求解基本函數滿足波動方程的精確解或近似解來達到波場外推的目的。
  6. Based on the study of strength degradation of material in the fatigue process, a strength degradation model is proposed. a stochastic differential equation, which controls strength degradation, is obtained from the model randomized by markov process. by using the theory of stochastic, the distributions of residual strength at any given lifetime and lifetime of any given residual strength are attained. under a few suitable hypotheses, inverse gaussian distribution of fatigue life is derived, and verified by means of experimental data. the result shows that the model and the method are reasonable

    在研究疲勞過程中材料強度退化規律的基礎上，建立了一個強度退化模型.對其進行隨機化處理，得到控制強度退化過程的隨機微分方程.在一定假設條件下，獲得了剩餘強度概率密度函數的封閉解，並推導出疲勞壽命的反高斯分佈形式.給出一種考慮損傷狀態對隨機漲落影響的近似處理方法.與試驗數據的比較結果表明，本文的模型和方法是合理的
  7. The optimization models of approximate kinematic synthesis for rigid - body guidance, path generation, and function generation of inverted crank - slide mechanisms have been set up, according to kinematic synthesis equations of rrr and rpr groups

    以rrr和rpr級桿組的運動綜合方程為基礎，建立導桿剛體導引、軌跡發生和函數發生機構的近似運動優化綜合方程。
  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. We introduce and motivate the main theme of the course, the setting of the problem of learning from examples as the problem of approximating a multivariate function from sparse data - the examples

    我們介紹且激發課程的主題將朝向于實例學習法的問題設定，例如稀疏值中多變量函數近似的問題。
  10. The results of numerical experiments, using the four - dimensional variational data assimilation system of the nonhydrostatic mesoscale model mm5, show that : the tangent linear model and adjoint model conducted by keeping the " on - off " switches the same as the basic state, can provide a good approximation of the first - order information to the nlm perturbation and a good descent direction for the minimization procedure ; switching on and off at every other time step in the kuo cumulus parameterization scheme do n ' t impact the convergence rate of cost function ; the existence of the switches do n ' t impact improvement to the mm5 model rainfall prediction because that not only specific humidity, but also wind, temperature and pressure are assimilated into the model

    非靜力中尺度數值模式mm5的四維變分資料同化系統進行的數值試驗結果表明： 「開關」變量保持與基態一致，所構造的切向線性模式能夠提供關于非線性模式擾動的一階近似，伴隨模式所計算的梯度值能夠為最小化過程提供較好的下降方向；郭氏降水參數化方案中對流每隔一個積分步的交替發生並不影響目標函數最小化的收斂速度； 「開關」變量的存在也不影響將風、溫度、氣壓和比濕結合起來同化對mm5降水預報準確性的提高。
  11. And beginning with a perturbed nls equation, using a multi - scales perturbation expansion, we get the zero order and the first order equations, discuss the eigenstates of the operator in the equations, induct relevant " derivative states ", form the completeness of the bounded eigenstates of the associated operator in li space, and expand the corresponding parameters in the closure, get a series evolution equations of the coefficients in the expanded formulas, find the first order approximate solution by researching the evolution equations. this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique

    ） dinser方程的求解問題，討論了自伴運算元的本徵函數的正交性和完備性，介紹了尋求微分方程的近似解常用的攝動方法，並從帶有某種擾動項的nls方程出發，利用多重尺度的攝動方法得到了方程的零級近似方程和一級近似方程，通過對近似方程中運算元的特徵態的討論，引入適當的「導出態」 ，建立了運算元在l _ 2空間的特徵態的完備性。
  12. First, we concisely recall the formation and development of bose - einstein condensa - tion ' s theory and it ' s experimentation. secondly, we briefly intro - duce some properties of weakly interactive bose gases, and derive the nonlinear gross - pitaevskii equation that is the condensate macroscopic wave function ' s equation. thirdly, we give a exam - pie, an approximation analytical solution of the gross - pitaevskii equation in a spherical symmetric harmonic trap is derived by a perturbation theory approach, this solution is consistent with that numerically obtained

    全文共分為四章：第一章首先簡要的介紹和回顧了玻色-愛因斯坦凝聚理論的產生和發展，以及其實驗研究的過程，然後著重介紹了弱相互作用的玻色氣體的一些性質，並推導出了凝聚體宏觀波函數滿足非線性的gp方程，還以球對稱的諧振子勢為例，用標準的微擾方法求出了定態的gp方程近似解，發現其與已知的數值結果符合得很好。
  13. In the analysis process, the six main peaks in 88 - 100 kev region, including the y peaks of 234th, the k peaks of th and the k peaks of u, are chosen. the smoothly joined gaussian function and low energy exponential tail is taken as peak shape function and quadratic polynomial is taken as background function. the two functions are fitted to gether to calculate the peak area

    在分析過程中，選擇了88 - 100kev能區的~ （ 234 ） th的射線峰， th的k _射線峰以及u的k _射線峰共六個主要能峰，通過採用高斯函數和低能指數尾部光滑聯接的峰形函數和二次多項式本底函數一起擬合，來求出峰面積；而該能區所有能峰的探測效率可以認為是近似相等的，由此得到鈾富集度。
  14. There are many kinds of ways to solve the electrostatic field of two - dimensional laplace ’ s equation or the poisson ' s equation, like the separation of variables, green ’ s function or alternative means. but if their boundary shapes are quite complex, it is extremely difficult to use these usual methods, and, in general, it is impossible to work out even there is such peculiar instance as analytic solution, or obtains the approximate solution

    對二維拉普拉斯方程或泊松方程的平面場的解法有多種，如分離變量法、格林函數法或者其他方法，但如果它們的邊界形狀比較復雜，用這些通常的方法求解會非常困難，即使對于存在有解析解的特殊情況，一般說來也不可能求出，而且求得的只能是近似解。
  15. Unknown displacement jumps in the equations are approximated with the products of the fundamental density functions and polynomials, in which the fundamental density functions are expressed with exact solutions of the two - dimensional interface cracks due to axial - symmetries of the problems herein

    方程中的未知位移間斷近似表示為基本密度函數與多項式之積，其中基本密度函數考慮到問題的對稱性用二維界面裂紋精確解表示。
  16. Using the formulized approach to the su ( 1, 1 ) h ( 4 ) time - dependent system, which is derived from the combination of the formulation of the time - dependent bogoliubov transformation and the evolution equation of the system, we obtain the time evolution operator, state function and heisenberg uncertainty relation of the parametric oscillator with cavity losses under the weak coupling approximation. we also discuss the squeezing property of the system

    本文利用含時波戈留波夫變換與時間演化方程相結合得到的求解su （ 1 ， 1 ） ? h （ 4 ）量子系統的時間演化算符和演化態的普遍公式，我們導出了帶腔損耗的參數振子在弱耦合近似下的演化算符，態函數和不確定乘積，並討論了系統的壓縮特性。
  17. The second aspect : from qgp kinetic equations with collision integrals, by using the relaxation time approximation, we calculate the distribution functions to the second order correction. we obtain the distribution functions for quarks ( and anti - quarks ) and gluons under perturbation of the fluctuation of the color field. then in the high - temperature - low - density area, we discuss the characteristics of the distribution functions, and use t hem to get the net baryon density and the energy density

    第二，從有碰撞項的qgp動力論方程出發，忽略自旋，在色漲落擾動下，利用弛豫時間近似，得到夸克和膠子分佈函數的二級修正，通過數值分析重點討論了高溫低密情況下qgp中成分粒子分佈函數的特性，並且由分佈函數得到凈重子數密度和能量密度。
  18. In order to implement efg method through computer program, the discrete equation from the variational principle ( weak form ) and the numerical implementation are described

    再次，論述了無網格伽遼金方法的位移近似函數和權函數，給出了變分方程及離散方程，以及數值求解的實現。
  19. Abstract : based on the study of strength degradation of material in the fatigue process, a strength degradation model is proposed. a stochastic differential equation, which controls strength degradation, is obtained from the model randomized by markov process. by using the theory of stochastic, the distributions of residual strength at any given lifetime and lifetime of any given residual strength are attained. under a few suitable hypotheses, inverse gaussian distribution of fatigue life is derived, and verified by means of experimental data. the result shows that the model and the method are reasonable

    文摘:在研究疲勞過程中材料強度退化規律的基礎上，建立了一個強度退化模型.對其進行隨機化處理，得到控制強度退化過程的隨機微分方程.在一定假設條件下，獲得了剩餘強度概率密度函數的封閉解，並推導出疲勞壽命的反高斯分佈形式.給出一種考慮損傷狀態對隨機漲落影響的近似處理方法.與試驗數據的比較結果表明，本文的模型和方法是合理的
  20. From a nonlinear equation with boussinesq similarity on the f plane including friction dissociation and using a new kind of general energy as lyapunov function, we got the nonlinear subcritical symmetric instability criterion which a new kind of symmetric stability criterions. the nonlinear subcritical symmetric instability indicates that the larger amplitude disturb may cause the its instability to increase and then excite the mesoscale rainstorm

    非線性亞臨界對稱不穩定判據是從含摩擦耗散的f平面上boussinesq近似下的非線性方程出發，以一種新的廣義能量作為lyapunov函數，導得的一種新的對稱穩定性判據，理論指出較大振幅的擾動可能出現非線性亞臨界對稱不穩定增長，從而激發中尺度暴雨擾動的生成。
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