方程的法線式 的英文怎麼說
中文拼音 [fāngchéngdefǎxiànshì]
方程的法線式
英文
normal form of equation- 方 : Ⅰ名詞1 (方形; 方體) square 2 [數學] (乘方) involution; power 3 (方向) direction 4 (方面) ...
- 程 : 名詞1 (規章; 法式) rule; regulation 2 (進度; 程序) order; procedure 3 (路途; 一段路) journe...
- 的 : 4次方是 The fourth power of 2 is direction
- 法 : Ⅰ名詞1 (由國家制定或認可的行為規則的總稱) law 2 (方法; 方式) way; method; mode; means 3 (標...
- 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...
- 式 : 名詞1 (樣式) type; style 2 (格式) pattern; form 3 (儀式; 典禮) ceremony; ritual 4 (自然科...
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Through analyses of epipolarity geometry of the linear ccd push - broom images and frame perspective images, based on the projection track method, epipolarity of linear ccd push - broom image is established and the properties of epipolarity curves is discussed, and a new epipolarity model based on the simplified push - broom sensor model is proposed. for stereo images of frame perspective and linear perspective, how to set up of epipolarity is studied in terms of fundamental matrix in computer vision, and an algorithm of epipolarity solution that only depends on coordinates relation of identical point is presented. 4
通過線陣ccd推掃式影像和框幅式中心投影影像核線理論的對比研究,利用投影軌跡法建立了線陣ccd推掃式影像的核線模型,分析和總結了它的基本特性;針對基於共線方程的簡化傳感器模型,提出了一種新的核線模型;對框幅式中心投影立體影像和線陣ccd推掃式立體影像,利用計算機視覺中的基本矩陣研究核線關系的建立,提出了一種單純依靠同名點坐標關系的核線模型解法; 4The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes. an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved, some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations, and numerical methods to nonlinear fuzzy stochastic differential equations are proposed, the conditions for stability and observability of fuzzy linear systems are derived. the kalman filter algorithms of linear fuzzy stochastic systems are brought forward
主要成果包括:提出了模糊隨機變量協方差和反向協方差的概念;研究了二階模糊隨機變量的均方收斂性,並在此基礎上得到了均方模糊隨機分析、平穩模糊隨機過程及其譜分解的若干定理;根據均方模糊隨機分析理論,得到了輸入為模糊隨機過程的線性系統的輸出輸入統計特徵關系方程;證明了ito型模糊隨機微分方程解的存在唯一性,並給出了ito型線性模糊隨機微分方程解的表達式,統計特徵方程以及非線性模糊隨機微分方程的數值解法;得到了模糊線性系統的穩定性和可觀性條件、線性模糊隨機系統統計特徵方程和線性模糊隨機系統的kalman濾波演算法;研究了當觀測值是模糊數據時,線性回歸模型的建立。The main studies are as follows : ( 1 ) the hamiltonian mechanics and equations are deduced from the lagrange mechanics. the symplectic quality of the hamiltonian system is discussed. the formulations of the symplectic integrator method are constructed, especially the explicit symplectic schemes for the separable hamiltonian system and the symplectic partitioned runge - kutta ( prk ) method for the generic hamiltonian system
本文對該方法進行了初步的研究和計算應用,具體展開了以下幾方面的工作: ( 1 )從lagrange力學出發引入hamilton力學和hamilton正則方程的概念,討論了hamilton系統的辛性質,給出了構造辛演算法的基本原理,並重點介紹了線性可分hamilton系統的顯式辛格式和一般hamilton系統的辛prk方法。This paper introduces three methods to find solutions to second - order constant coefficient inhomogenous linear differential equation, namely multinomial method, ascending order method and integration method
摘要求二階常系數線性微分方程特解的方法雖然有許多種,但用多項式法、階數上升法、積分法求二階常系數線性微分方程的特解是比較簡便的。Quantum capture is a complicated process and capture time computation and experiment test are provided. it is difficult to ascertain carrier ' s transportation and distribution in multiply quantum wels and tunneling time and heating emitting time computations are also provided. optical gain whose formula is complicated is a critical parameter and it is useful for structuring model to obtain a concise formula by means of experiment curve
詳細說明了確定半導體激光器速率方程的一些重要參量的方法,如:載流子在三維sch區的輸運行為對激光器的調制特性有較大影響;量子阱對載流子的捕獲是一個復雜的過程,文中給出了量子捕獲時間的計算方法以及實驗證明;多量子阱中載流子輸運與分佈也是相當復雜的問題,文中給出了隧穿時間與熱發射時間的計算方法;光增益是關鍵的參量,它的解析式相當繁瑣,由實驗曲線擬合其較為簡明的經驗式,對定模工作是有利的。In the first part of this paper, we use solids theory to get the eos of ionic crystal and metal crystal, and use the datum of hugoniot of many solid materials, and make use of the least - square program to get the born - mayer potential parameters. this parameters can use in the theory calculation of eos
在本文的第一部分,利用固體理論推導了離子晶體和金屬晶體的狀態方程的理論形式,又根據多種固體材料的hugoniot沖擊壓縮實驗數據,運用最小二乘法曲線擬合程序確定出它們的born - mayer勢參數,經驗證這種勢參數完全可以運用於實際的狀態方程的計算中。The solution format and caculation step of nonlinear dynamic equilibrium equation was derived by newmark method in this article, and dynamic caculation flow chart and relevant program of the frp honeycomb structure was given in two dimension
本文採用newmark法推導出非線性動力平衡方程的求解格式和計算步驟,給出了二維場下玻璃鋼拱形結構的動力計算流程圖和相應的程序。Expressions in three kinds of perfectly matched layer ( pml ) absorbing boundary conditions is also given. second, the numerical theories of the auxiliary fields fdtd method is studied, including the stability of the differential equations and the numerical dispersive relationship. the stability of two kinds of differential formulations and three kinds of pml is compared, using a straight method depending on the pmax - t graph
更進一步,研究了輔助場fdtd方法的數值理論,對其微分方程、差代方程的穩定性進行了分析,比較了有耗媒質中的兩種差分格式和三種理想匹配層中的差分格式的穩定性,提出了一種通過p _ ( max ) - t曲線判定穩定性並求出穩定性條件的直觀方法,並導出了該方法的色散關系式。A important result is the one - orde r expression of ar ( p ) yt = dyt - 1 + e, from paralleling a high - order differential equation transformation into a one - order differential equation system, the one - order expression exposes that the ar ( p ) is only a certain more - multivariable power series process and, if a process is described as an ar ( p ), the sufficient and necessary condition is the spectrum norm a of the coefficient matrix d less than one. simplification of ar ( p ) not only brings about orthogonal f ( h ) but also provides global foretelling formula
作者用高階微分方程化一階微分方程組的方法,獲得多元弱平穩序列p階自回歸模型的一步滑動平均表達式,證明了ar ( p )的是一個更高維的冪級數的線性過程,從而,說明了ar ( p )關于序列依概率成立的充要條件是:該模型更高維的冪級數的線性過程的表達式中系數矩陣d的譜范數1 。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。A new step - by - step integral procedure of dynamics equations is presented. the general expression of the solution of dynamics equations is obtained on the basis of the homogenous analytical solutions of dynamics equations and duhamel integration. the explicit analytical integration algorithm, which is characterized by fourth - order accuracy, self - starting and self - correcting, is employed to discretize the equivalent load terms
另外提出了求解動力學方程的一個新型的逐步積分法,基於線性動力學方程的解析齊次解及duhamel積分,構造出適用於非線性動力學方程解的一般積分表達式,對包含非線性項的非齊次項採用插值近似的方法,得到一個單步顯式、自起步、預測校正具有四階精度的解析逐步積分演算法。By combining the linearization of the governing equation with the method of harmonic balance, we have established analytical approximate formulas for the period and the periodic solution
將控制方程的線性化與調和平衡法組合起來,建立周期及周期解的解析逼近公式。In this paper, the dominated equations formed from nonlinear fem are derived through incremental theory, and the corresponding formulations of iterative method for solving the nonlinear dominated equations are described
採用增量理論推導了非線性問題有限元求解的支配方程,描述了求解非線性支配方程的變{ k _ p }迭代解法的相關列式。Then, we use the largrange indeterminate multiplier method. according to the thermodynamic conditions describing the coexistence of two phases and the stability conditions of equilibrium state, the equations describing the solid - liquid phase diagram equilibrium curves of the 2d alternative binary system are obtained
我們首先利用largrange不定乘子法,由熱力學理論和穩態相平衡條件得到了該系統的固-液兩相平衡曲線方程的表達式,給定勢參數后,我們得到了該系統的幾種典型的固液相圖。( 1 ) based on two types of riccati equations, two kinds of new methods are proposed to obtain solutions of nonlinear differential equations. twelve families of exact solutions of wbk equation are found by using one of two methods ; ( 2 ) the homogeneous balance method is improved cind investigated to ( 2 + l ) - dimensional broer - kaup equation such that many families of new solutions are derived. ( 4 ) based on the isospectral lax pair of riccati form for generalized kdv equation with the force term, new darboux transformation and solitary - like wave solutions and rational solutions are obtained ; ( 4 ) by constructing darboux transformation and the superposition formula of generalized variable coefficients kdv equation with the force term, new single solitary - like wave solutions, double solitary - like wave solutions and rational solutions are found for ( 2 + l ) - dimensional generalized kp equation
第二章和第三章考慮非線性偏微分方程的精確解的構造:首先給出了c - d對和c - d可積系統的基本理論,然後在第三章中具體研究了它們的應用: ( 1 )基於兩種riccati方程,提出了兩種新的求解非線性微分方程更多解的方法,利用其中的一種方法,得到了wbk方程的12組精確解; ( 2 )對齊次子衡法進行改進,以致於獲得了( 2 + 1 ) -維broer - kaup方程的很多新解; ( 3 )基於帶有外力項的廣義kdv方程的riccati形式的非等譜lax對,提出了該方程的一個新的darboux變換,利用該變換,得到了新的類孤波解和有理解; ( 4 )通過構造了帶有外力項的變系數kdv方程的darboux變換及疊加原理,獲得( 2 + 1 ) -維廣義kp方程的新的類單孤波解、雙類孤波解和有理解。Abstract : the stability of the nonlinear comput ation is important in numerical weather prediction. in this paper, the concept, phe n omena and mechanism of nonlinear computational instability of the nonlinear evol ution equations in numerical weather prediction are discussed. an effective schem e, the square conservation shceme, is presented
文摘:簡述了數值天氣預報問題中非線性發展方程的非線性計算不穩定性的含義、數值計算現象以及計算不穩定產生的機理,給出了克服非線性計算不穩定的一個有效方法? ?平方守恆格式。By means of an integral expression of non - linear dynamics equation an explicit precise integration algorithm with four order accuracy and self - correct and self - starting to solve this equation is given. this method is adapted to solve the non - conservative system with multi - dof and strong nonlinear. the non - linear dynamic equations are divided into some blocks or groups
給出了求解非線性動力學方程的精細積分表達式,利用插值近似該方程的非線性項,得到一個具有四階精度並且是單步顯式、自起步、預測-校正的lagrange (或hermite )插值精細積分演算法,適于強非線性、非保守系統。One liquid phase and two solid phases ) equilibrium curves of the 2d alternative ternary system are obtained. given a group of the attractive interactions " values, the phase diagrams that representing the equilibrium of one liquid phase and two solid phases, i. e. the knot triangles, are got, which are similar to the practice
接著,利用相似的方法,得到了決定二維三元替換式l - j系統的三相平衡曲線方程的表達式,給定勢參數后,得到了三元系統中的由兩固相與一液相形成的三相平衡相圖,即結三角。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 。An integrable theorem of second order linear homogeneous differential equation
二階線性常系數非齊次常微分方程的分解式講授方法分享友人