exact differential 中文意思是什麼

exact differential 解釋
【數學】恰當微分。

  • exact : adj. 1. 精密的，準確的。2. 嚴格的，嚴正的；嚴厲的。3. 嚴密的。vt. 1. 勒索（錢財等），強要。2. 強制，逼使（服從等）。3. 急需，需要。
  • differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
  1. Exact differential form

    恰當微分形式
  2. Nevertheless, the results provided by these methods are all inaccurate. in this thesis, in order to overcome the drawbacks, we reconstruct the bose - hubbard model hamiltonian with differential realization of bosonic operators, and investigate the exact numerical solutions of the one dimension bose - hubbard model. firstly, energy matrices can be generated rapidly by using a mathematica package

    首先利用mathematica程序快速生成模型在各種位型下能量矩陣，然後將該程序的結果直接作為其它矩陣對角化程序的輸入而求出該模型在相應位型下的本徵值和相應的本徵波函數。
  3. For obtaining exact solution for the impulse response or step response, the preferred method is to solve the original differential equation on a digital or analog computer.

    要獲得脈沖反應或階躍反應的精確解，最好的辦法是用數字或模擬計算機求解原始微分方程。
  4. In this thesis, a new kinematic model of nonholonomic car - like robot, differential driving car - like robot model is proposed. a feedback controller via approximate linearization and a feedback controller via exact feedback linearization are designed for trajectory tracking problem. it is proved that differential driving car - like robot model can be converted into a canonical form, chained form

    本文提出一種新的非完整約束車型機器人運動學模型? ?差動驅動機器人模型，就軌跡跟蹤問題，設計出了近似線性化反饋控制器及精確線性化反饋控制器，並證明了這種運動學模型可以轉化為一種標準型? ?鏈式結構，因此此項研究具有普遍意義。
  5. Applied the precise integration method to solve stiff equations and nonlinear equations, and improved the method from explicit and implicit aspects. it found that the exact solution of some differential equations may be obtained, and always stable absolutely

    將之應用於剛性方程及非線性方程的求解中，並對非線性方程的求解從顯式和隱式兩個方面給出了改進措施，得出：使用精細積分法可以給出某些微分方程的精確解，且絕對穩定。
  6. With the method of the lie group transformation, the symmetry of the equation governing one dimensional finite strain consolidation is discussed and, from the point of the symmetry, the feasibility to obtain the analytical solution of these nonlinear partial differential equations is discussed. where - after exact or approximate analytical solutions focused on different consolidation problems are obtained, these including : under some assumptions of relations of the void ratio with coefficient of permeability and effective stress, the method of lie group transformation is applied to solve the non - linear partial differential equation of large strain consolidation of homogenous saturated clay soil in semi - infinite domain with the consideration of the material and geometrical nonlinearity during consolidation procession. the implicit exact solution without considering the effect of self - weight of soil is obtained

    運用lie群變換方法討論了一維大應變非線性固結方程的對稱性，以及在該對稱性的意義下求解這類非線性偏微分方程解析解答的可能性，並就大應變非線性固結問題的多種情況求得了其完整的或者近似的解析解答，具體包括：基於有效應力與孔隙比以及滲透系數與孔隙比之間的關系的一些假定，採用李群變換求解考慮材料非線性和幾何非線性的半無限均質土體大變形固結非線性偏微分方程，得到了一個不考慮自重固結的完全解析解。
  7. The second part, with the aid of many types constructive transformation and symbolic computation ( especially wu algebraic elemination method ), some topics in nonlinear evolution equation are studied, including exact solution ( solitary solution, periodic solution, rational function solutions and jacobian function solution ), backlund transformation, cole - hopf transformation, dromion solution and its construction etc. charter 2 introduces ac = bd model and its application about partial differential equations

    第二部分以構造性的變換及符號計算特別是（吳代數消元法）為工具，來研究非線性演化方程中的一些問題：精確解（如孤子解、周期解、有理解和雅可比橢圓函數解（雙周期解）等） 、 backlund變換、 hopf變換， dromion解及衰變結構等第二章介紹了求解pdes的ac = bd模式及其在偏微分方程中的作用。
  8. The mathematics - mechanization method is applied the field of differential equations. many algorithm for constructing solitary wave solutions for a class of nonlinear wave equations are given, and implemented in a computer algebraic system, such as the hyperbolic tangent function method and the hyperbolic function method etc. exact solitary wave solutions of a great deal of nonlinear equations are gained

    將機械化數學方法應用於偏微分方程領域，建立了構造一類非線性波方程的精確孤立波解的許多演算法，如，雙曲正切函數展開法，雙曲函數方法等，並在計算機數學系統上加以實現，因而推導出了一批非線性波方程的精確孤立波解。
  9. ( 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。
  10. A summary of the main conclusions of our researches is in the following : ( 1 ) nonlinear partial differential equation ( npde ) is converted into an ordinary differential equation ( ode ) via a new anstaz. using undetermined function method, the exact solutions and solitary solutions of the npde are obtained by solving the ode

    本文針對幾個非線性發展方程，做了以下幾點工作： （ 1 ）通過一種新的變換將一類非線性偏微分方程化為常微分方程，然後用待定函數法求解常微分方程，得到非線性偏微分方程的精確解和孤立波解。
  11. In this paper, the second chapter introduces the reducing idea of inertial manifolds and approximate inertial manifolds, and discuss th e similarity reduction of ks equation. the third chapter introduces the basical idea and theory of the exact linearization controlling, then use this methods to control chaos of an ordinary differential system chen equation and apply the exact linearization controlling method to control the chaotic behaviours, i. e. controlling the chaotic states to steady states

    本文第二章介紹了無窮維動力系統的慣性流形與近似慣性流形的約化思想，並討論了ks方程的直接約化方法。第三章介紹了精確線性化控制方法的基本思想和理論根據，並應用精確線性化控制方法對具有典型混沌動力學行為和性質的一個常微分系統chen方程進行混沌控制，將chen方程的混沌狀態控制為穩定狀態。
  12. Because of the time variation of wireless channel, getting the exact channel estimation and good synchronization is difficult for the receiver, so that the differential system could be an attractive choice

    由於通道的時變特性，用戶的快速移動等原因，在某些無線應用中，對于同步和獲得通道的精確估計值都十分困難，在這種情況下，差分檢測就成為了一種很有吸引力的方案。
  13. The fourth chapter applies the exact linearization controlling method to control the approximate inertial manifolds of a partial differential system ks equation. this method can control the chaotic states into steady states and also can control the steady states into circle solutions. the chen equation and ks equation both have typical dynamical behavior and dynamical character

    第四章中應用精確線性化控制方法對無窮維動力系統ks方程的近似慣性流形進行混沌控制，可以將傳統近似慣性流形下的混沌狀態控制為穩定狀態，也可以將穩定近似慣性流形下的穩定狀態控制為周期解。
  14. For the class of nonlinear second order ordinary differential equations ( odes ), we firstly consider one of their special one - dimensional forms, and then prove the existence of solution to its two - point boundary value problem in the light of prior estimate and schauder fixed point theorem. we also show the exact solutions for the special equations as an example and plot the numerical solutions by mathematica

    對于這類非線性的二階常微分方程，我們首先考慮其一維的特殊的形式，運用先驗估計，進而利用schauder不動點定理，證明了其兩點邊值問題解的存在性，並給出具體方程的解作為例子，然後用mathematica作出數值解的圖。
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