rational equation 中文意思是什麼
rational equation
解釋
有理方程式-
Firstly we deduce hyperbolic function transformation and then apply to a class of reaction diffusion equation and brusselator reaction diffusion model which has physics, chemistry and biology significance. thus we obtain many new exact and explicit solutions ( including solitary wave soluiton, peoiodic wave solution and rational functions solutions ) to above equations
推導出了雙曲函數變換，利用此方法探討了一類反應擴散方程， brusselator反應擴散方程這些具有物理、化學、生物意義的方程的精確解（包括奇性孤波解，周期解和有理函數解） 。 -
Based on the previous theoretical analysis, two practical projects of pile - raft foundation of high - rise building on soft ground are studied by using the software of pile - raft foundation interaction analysis program pogap. the choice of standing layer for pile, the rational compression modulus of soil under pile, the place of pile and the space between piles, and the reasonable thickness of plate are analyzed, some well - regulated conclusions can be achieved. an experiential equation for choosing the optimal thickness of plate is also given
根據以上分析，結合兩個軟弱地基上高層建築樁筏基礎的工程實例，利用浙江大學巖土工程研究所編制的pogap樁筏基礎共同作用分析軟體，就樁端持力層的選擇，樁端下臥層壓縮模量合理選值，樁位及樁間距的確定，筏板厚度的合理取值等問題展開分析，得出了一些規律性的結論，提出了筏板最佳板厚取值的經驗公式。 -
The equation which relate the design of wall - beam and the arch in the wall are more rational then the criterion
這種將墻梁的設計和拱效應直接聯系起來的方法和規范公式相比更為合理。 -
Abstract : in this paper, we consider a class of irrational rumber which can be approximated by rational number at most exponental order ， applications are given in partial differential equation and dynamical systems
文摘:文中考慮一類最多可以指數地有理逼近的無理數，並指出它們自然地存在於偏微分方程解析理論及動力系統中 -
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。 -
The stability for difference equation is maily considered in chapter 3, where, in section 1, a new method, called " semicycle analysis method ", is introduced to investigate global asymptotic stability of rational difference equations, and which is different from the existing ways, originates from the authors " trying to solve a conjecture presented in " journal of difference equations and applications " with respect to the global asymptotic stability of a detailed rational difference equation, and which can be used to solve the global asymptotic stability of a kind of rational difference equations which are very difficult to be solved in the methods in the kno, n literature
第三章我們主要研究了差分方程的穩定性。在第一節中介紹了一種新的方法，稱之謂「半環分析法」 ，研究有理型差分方程的全局漸近穩定性；這種方法有別于已知方法，產生於作者試圖解決國際期刊《 journalofdifferenceequationsandapplications 》上提的關於一個具體的有理型差分方程的全局漸近穩定性的猜想時；這種方法可以應用來解決一類有理型差分方程的全局漸近穩定性，且所考慮的問題很難用已有文獻中的方法解決。 -
Nurbs curve equation has three kinds of the equivalence form, i. e. rational fraction, rational base function and homogeneous coordinate
Nurbs曲線方程具有三種等價形式：有理分式表示、有理基函數表示和齊次坐標表示。 -
The stress - strain curve of new - old concrete and hprrc, are suggested to be modeled by two sections : the ascending section of the stress - strain curve is simulated by cubic parabola equation and the descending section is simulated by rational fraction, where the theoretical value is in good agreement with the test value. the research results also provide a theoretical basis of earlier stage for improving crack resistance of new - old concrete interface
新一老硅及hprrc應力一應變全曲線建議採用兩段式擬合:上升段採用三次拋物線方程模擬，下降段採用有理分式模擬，理論值與試驗結果吻合較好。該研究成果為新老混凝土結合面抗裂能力的提高提供了前期的理論基礎。 -
The mode shape equation for the case with bottom fixed and top simply supported can not be presented in simply periodic forms. therefore, a program msewz with matlab6. 1 is presented by author to determine and select the rational mode shape equations
對於一端固定、一端簡支的邊界條件，因變形函數不能用簡單的周期形式表示，筆者用matlab6 . 1編制了程序msewz ，通過判斷確定出合理的變形函數。 -
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。 -
( 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。 -
The fast spot price solution proposed in this paper introduces a decomposing model, which is benefit for analyzing each component of spot price. based on interior - point optimal power flow, which has superiority on calculating and decomposing spot prices under power market environment, after rational approximation, the coefficient matrix and its factor table of modifying equation are made constant and need no recalculation during iterations
本文提出的快速實時電價演算法採用適于對實時電價各組成部分進行分析的分解模型，在內點法最優潮流的基礎上合理的常數化其修正方程系數矩陣，使其在每次迭代時不必重新計算，大大提高計算速度。 -
This algorithm is an extension of real root isolation algorithm for univarioie rational polynomial. it results in an higher - dimensional isolated interval for each isolated real root. in the ordinary differential equation qualitative or stability analysis, lienard systems are typical
Li nard系統是常微分方程定性及穩定性分析研究中一類典型的系統，它不僅在應用領域有著廣泛的運用，在其他微分系統的定性及穩定性分析研究中，也經常會藉助到它豐富的結論。 -
In section 5, e are in a position to consider some properties, mainly oscillation, cycle length and periodicity, etc, for a rational difference equation involving maximum function, partly solving an open problem. several natures for lyness equation are studied in section 6
第六節中研究了tyness方程的一些性質；首先對于常系數的tyness方程，得到了其周期性的幾個充分條件，尤其是5一周期的充要條件；據此解決了一個關於差分方程周期性的公開問題；然後把這個方程推廣到一般情形，研究其振動性、環長與周期性等。 -
Rational macro - element method applied in poisson ' s equation
有理宏單元法求解泊松方程 -
Then three means of optimal matching are presented : on the basis of the tyre ' s properties calculation to build up the equation reflecting the rational matching relations ; according to the condition where no tyre ' s horizontal stiding to establish the equation and based on the tyre ' s grounding mark length to set up the equation
提出了3種確定最佳匹配的方法：即根據輪胎特性計算外傾角和前束值的合理匹配關系式；根據輪胎工作中無橫向滑移時建立了外傾角和前束值的合理匹配關系式；根據輪胎接地印跡長度建立外傾角和前束值的合理匹配關系式。
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