消元式 的英文怎麼說
中文拼音 [xiāoyuánshì]
消元式
英文
resultant-
Xu yan - qiang, song lian - ke and zheng chun - hong design of three - in - one composite achromatic compensator
三元復合式消色差補償器的研究與測試It is shown that the error could be rather remarkable in some extreme situations and could be neglected in the others. the variance of parameters inside pixel, contexture of the pixel and the surface wind speed are the controlling factors of the scaling error
結果表明亞像元狀態和結構是像元尺度誤差的主導因素，風速變化對尺度誤差有明顯的影響，不論何種形式的非均勻性，都須遵循相同的尺度擴展步驟，以達到消除誤差的目的。Third, on the base of expatiating on experimental research method and theoretical research method of joints, the paper points out two kinds of valid methods, which are used to analyze the tube joints stress of dendriform structure by making use of semi - analytical method and inelastic large deflection finite element analysis method, confirms to apply the evaporative pattern casting process as the facture method of dendriform structure cast joints, and detailed dissertates the casting theory, casting process, generation cause and prevention measure of casting flaws, heat treatment method and inspection standard about cast steel joints
然後在闡述樹狀結構節點實驗研究方法和理論研究方法的基礎上，提出了利用半解析法和彈塑性大撓度有限元法兩種有效分析樹狀結構管節點應力的方法，並給出兩種方法的詳細表達式及它們各自的優缺點。通過對鑄鋼件常見製作方法的介紹，確定了採用消失模法作為樹狀結構鑄鋼節點的製作方法，並詳細論述了用消失模法製作鑄鋼節點的鑄造原理、鑄造工藝、鑄造缺陷產生的原因及防治措施、鑄鋼節點的熱處理方法以及檢驗標準。In this paper, the folio wings are introduced briefly : holonomic theory ; the basic idea that d. zeilberger used to prove identities using holonomic theory. and wu method is generalized to the non - commutative weyl algebra. furthermore, dialytic method of elimination is replaced by wu method, so the prove can be extended from the single - variable hypergeometric identities to multi - variable ones
本文簡要介紹了完整性理論， d . zeilberger利用完整性理論證明恆等式的基本思想，將吳方法推廣到不可交換的weyl代數上，用吳方法取代了d . zeilberg在證明完整性函數恆等式的理論框架中的析配消元法，從而將這種證明理論由單變量超幾何恆等式的證明擴展到多變量超幾何恆等式的證明。The elimination by eliminant with the aid of basic sets
基組結式消元法The paper proposes the elimination by eliminant with aid of basic sets ( eeabs ), in order to solve the problems in the theories and methods of polynomial system of equations ? limination at present, and to find the multi - solutions of mechanism science ~ research
針對目前多項式方程組的消元理論和方法中存在的問題和不足，本文提出了基組結式消元法，並用以求解機構學研究中的多解問題。The main idea of this method is to choose a set according to the order of polynomials, to eliminate by making use of bezout eliminant, get zero set from the improved formula about set of zero points, so that a polynomial system of equation ~ set of zero points can be got only by one time arrangement
該方法的主要思想是：根據多項式秩的大小選取基組，採用貝左結式消元，用改進型零點集結構式確定零點集，從而只需一次整序就可求得一個多項式方程組的零點集。Forward displacement analysis for lps + 3tps, lpt + 2tps, lpps + 4tps type pmts are performed based on result elimation method. closed form solutions for forward displacement of these hybrid type pmts are derived, numerical examples are given for illustration
基於結式消元法分別對1ps + 3tps型、 1pt + 2tps型和1pps + 4tps型並聯機床進行了位置正解分析，獲得了封閉形式的解析解。Firstly, a 52 degree univariate polynomial equation is deduced by using resultant elimination method. 6 extraneous roots are found during the process to obtain the other 3 variables by using euclidean algorithm
首先使用結式對4個多項式方程直接消元，得到1個一元52次的多項式方程，再用輾轉相除法求其他3個變量，在此過程中發現了6個增根。Numeric - symbolic technique is introduced in the procedure of resultant elimination, procedure of number - spobol manipulation is transformed into that of matrix manipulation. because joini variables are treated as symbols and all structure paramcters are treated as real nuxnbers, the complexity of derivation for input - output equaion is reduced. the soluton is verified with a numerical example, its rsults withoot extraneous roots agree with the original equaions
消元過程中引入了數字-符號方法，將結構參數處理為數值量，將關節變量處理為符號量，將數字、符號推導過程轉化為了矩陣運算過程，由於結構參數以數值量的形式出現在方程推導中，降低了符號推導的難度，符號推導不需要復雜的符號處理軟體的支持。The eeabs has some advantages such as the workload of eliminating is greatly reduced and the degree of eliminating result is lowered, and so on
因此基組結式消元法具有消元工作量較小，消元結果方次較低等優點。Especially elaborating on the theories and methods of polynomial elimination of system of equations systematically
特別地，對多項式方程組的消元理論和方法作了較為系統的闡述。In 1978, professor zhang hong qing uses the method of gebraic elimination and factorization in differential equations and successfully solve a great kind of the reducing problem of the over determined differential equations. he gives the method of " ac = bd " which used to solve the differential equations. recently, this theories have a new development, and he forwards the c - d integrable system and c - d pairs
1978年，張鴻慶教授將代數消元和因式分解思想方法用於微分方程組，成功地解決了一大類超定微分方程組的約化問題，並提出解微分方程的「 ac = bd 」模式，近來這一理論又有了新的發展，提出了c ? d可積系統與c ? d對的概念。A set of nonlinear equations of precise synthesis are established for special case according to co - planarity and equal distance conditions. by resultant elimination, 3 polynomial equations containing 3 variables are obtained. all of the groups of real solution within a certain value range are generated with computer graphic method
針對實現兩個函數，每個函數四個精確點的rssr機構，通過結式消元法消元，得到三元高次多項式方程組，並採用計算機圖解法，在一定值范圍內解出了方程組的全部實數解。Basing on the positional characteristics of double cusps produced in the track of link points of planar four - bar linkage and combining with the synthetic equation of conventional track generator, the constraint equation set for the position of track generator that could realize two cusps ; and by means of successive elimination to obtain the most simplified forms of constraint equation set
摘要基於平面四桿機構連桿點軌跡產生雙尖點的位置特性，結合常規軌跡發生器綜合方程，建立了能實現雙尖點的軌跡發生器的位置約束方程組，並經過逐次消元，得到了約束方程組的最簡形式。A great number of calculating results show that eeabs is effective and practicable. in addition, the method has been successfully applied into optimum design of two types of range - changing mechanism of gantry crane and the software systems of optimization design and analytical calculation of straight - arm gantry crane and ? ptimization design and analytical calculation of balance pulley compensation gantry crane ? has been compiled
另外，作者還對基組結式消元法在兩種門座式起重機變幅機構優化設計中的應用做了成功的嘗試，並編制了「變幅補償直臂架門機的優化設計和分析計算」和「平衡滑輪式補償門機的優化設計和分析計算」軟體系統。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。While in traditional elasticity mechanics, we make our best to eliminate the unknown variables and can get the simplest equation in a brief form. at the same time, the rank of equation is increased, so we cannot solve the equation by direct method and have to resort to semi - converse method
而傳統的彈性力學，其求解方法是盡量消元以使未知量減少，方程形式簡單，寧可讓方程階次提高，故數學物理方法中最基本的分離變量法就難以實施，只能採用半逆法。Absolute coordinates of spherical joints on movable platform are chosen as unknwn, a direct displacemeat analysis which is based on resultan eliminatiom method for 2nys + 2tps type pmts is presented, the 7th degree input - outpul closed form equation with one wtwn is obtained, and all of the roots for all unknowns are gained
採用動平臺四個鉸心的絕對坐標作為輸出變量，用結式消元法對2rps + 2tps型並聯機床進行了位置正解分析，得到了其7次的一元輸入輸出方程，由此得到了全部位置正解。The program can automatically turn a system of equations that include triangle functions into polynomial system of equations in the analysis and synthesis of the mechanism, to eliminate and get the polynomial solutions of the original system of equations
該程序可將含三角函數的機構分析或綜合方程組自動地變換成多項式方程組並對多項式方程組進行消元，得到原多項式方程組的多項式解。分享友人