無理數方程 的英文怎麼說

中文拼音 [wúlǐshǔfāngchéng]
無理數方程 英文
irrational equation
  • 無 : 無Ⅰ動詞（沒有） not have; there is not; be without Ⅱ名詞1 （沒有） nothing; nil 2 （姓氏） a surn...
  • 理 : Ⅰ名詞1 （物質組織的條紋） texture; grain （in wood skin etc ） 2 （道理;事理） reason; logic; tru...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 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...
  • 無理 : unreasonable; unjustifiable
  1. For the delay - independent stability, necessary and sufficient algebraic criteria have been obtained in terms of characteristic functions. the key of the criteria is to verify that a polynomial has no nonzero real roots

    對時滯無關穩定性，以特徵函數為工具，獲得了充要代數準則，其核心是判定多項式方程無實根，這一問題由廣義sturm理論解決。
  2. In this paper, high - order accurate weighted essentially non - oscillatory ( weno ) schemes are investigated and their applications in hyperbolic conservation laws are discussed. based on this, a new weno difference scheme which based on dispersion - relation - preserving relation is developed, and representative test cases with this scheme for computational aeroacoustics ( caa ) problems has been implemented and compared in order to test capability of wave capturing ; in addition, weno schemes generally do not converge at high order in the presence of contact discontinuity of euler equations, so a conservative front tracking technique coupling weno schemes and level set method to simulate the translating density profile is presented here, and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy

    本文研究了高階精度加權基本無振蕩（ weno ）格式及其在雙曲守恆律方程中的應用，在此基礎上作了兩個方面的工作：一是針對高頻聲波問題構造出一種基於保色散關系（ drp ）的weno有限差分格式，並對計算氣動聲學（ caa ）問題的代表性算例進行了大量數值實驗，比較了該格式捕捉波數的能力；另外，針對高階weno格式在處理euler方程的接觸間斷時精度有所降低的問題，研究了利用界面追蹤技術levelset方法和高階激波捕捉weno格式相結合的一種守恆追蹤方法，並且給出有代表性的密度滑移面問題的算例，得到一致高階精度的數值模擬結果。
  3. In the models, the iron core nonlinearly of the traction transformer and the magnetic hysteresis effect without the b - h curve are considered. having tested by digital simulation, the winding parameter has not changed in the state of external fault or magnetizing inrush etc. but the winding parameter has obviously changed in state of inter fault or inter - turn fault. ( 3 ) the rules three phases converted to two phases of traction transformer in electric railways are developed in this paper

    （ 3 ）利用牽引變壓器磁鏈平衡方程，建立了基於系統辨識理論的雙繞組單相接線牽引變壓器、阻抗匹配平衡牽引變壓器及scott （斯科特）接線牽引變壓器的「灰箱」模型，該模型考慮了牽引變壓器鐵芯非線性和磁滯效應，但又不直接反映在模型中，並且無需鐵芯的b - h曲線數據。
  4. In the light of the recent work in biological models, especially in the chemostat models, the dissertation provides a systematic study on the asymptotical behaviour of some chemostat models built by delay or diffusion differential equations. the main contents and results in this dissertation are as follows : i ) the global asymptotic behavior of the chemostat model with the beddington - deangelies functional responses and time delays is studied. the conditions for the uniform persistence of the competing populations are obtained via uniform persistence of infinite dimensional systems

    本論文基於當前生物學模型，特別是恆化器模型的研究現狀，深入系統的研究了時滯和擴散方程描述的幾類恆化器系統的漸近性態，本文的主要內容包括以下幾個方面：一、研究了具有beddington - deangelies功能性反應函數的時滯恆化器模型，利用無窮維連續動力系統的一致持續生存的理論給出了兩競爭種群一致持續生存的充分條件，利用單調動力學系統得到了系統的全局漸近穩定性。
  5. On the basis of the theory of thin shells and the non - moment assumption, the equations of the motion of the conical shells under lateral cosinoidal loading are derived in the case of ignoring shearing stress

    基於薄殼理論和無矩假定，在略去剪切應力的情況下推導了圓錐殼在側向餘弦載荷作用下的運動方程，並採用半解析差分方法進行了數值求解。
  6. For the given sample points, and matrix formed by covariance function with sample points as parameters, when the number of sample points approaches infinite, it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation

    對給定的樣本點，由樣本點為變量的協方差函數構成的矩陣，當樣本點個數趨于無窮大時，證明此矩陣譜逼近於積分方程正定核的譜逼近定理。
  7. Thus chaos theory is, very generally, the study of forever changing complex systems based on mathematical concepts of recursion, whether in the form of a recursive process or a set of differential equations modeling a physical system

    通常混沌理論是研究建立在數學遞歸概念基礎的上永遠改變復雜系統，無論以回歸過程形式或建立微分方程物理系統模型。
  8. The feasibility of decomposition of transition firing sequence, the application of them in the detecting lfs and the reverse course of decomposition - synthesis are discussed. they provide theoretic basis for our algorithm in the field of petri net. supported by the above, two main part is included in the algorithm : at first, x is transacted according to the following method in order to get a set of xb named as basic vector of x which is the firing count vector of a directed path without circle if md is reached from m0 in the rg ( m0 )

    在變遷序列分解的指導思想下，我們的演算法主要通過以下兩步工作完成： （ 1 ）首先對給出的已知條件中滿足狀態方程的n維非負整數向量進行處理，得到一組x的基礎向量x _ b ，使得在petri網的可達標識圖中，若存在一條由m _ o到m _ d的有向無環路，則x _ b為這樣的路上變遷引發序列的發生數向量。
  9. The control of beam halo - chaos becomes a critical problem in the development of high intensity accelerator. efforts to remove the halo by collimation have been largely unsuccessful since the halos almost always regenerate. the mechanisms of halos are complex, such as nonlinear resonances and chaotic behavior etc. considering this, professor fang jin - qing who works in china institute of atomic energy pointed out that the theory of chaos control can be used to control beam halos. he presented the method to control halos by using nonlinear functions, which means nonlinear function g is added to the right of ion radial self - edlctric force equation and some nonlinear function are selected to control beam halos in simulations. in paper [ 69 ], controllerg = - 0. 15sin ( rmax - am ) 2 was used and the halo intensity was decreased to 0. 1078, the halos are removed partly

    束暈?混沌的控制是新一代強流加速器研製的關鍵問題，隨著強流離子束應用前景的日趨廣闊而日益成為研究的熱點。傳統機械限束器因無法解決束暈的再生而收效甚微，因為束暈的形成有著其內在動力學機制?非線性共振以及混沌等。基於此，中國原子能科學院研究員方錦清將混沌控制的理論和方法開創性的運用於束暈?混沌的控制上，提出了控制束暈?混沌的非線性控制策略，即在粒子徑向所受束自生場力方程的右邊加上非線性控制函數g ：並選取一些非線性函數如等進行了控制的模擬研究，將束暈強度控制在0 . 1078左右，取得了初步的控制效果。
  10. According to non - newtonian fluid mechanics theory and mathematical method, conbined with plunger moving property, the hypothesize fluid is imcompressive, hydraulic radius of flow of liquid in crevice is very little, and it is laminar flow, the flow is treated fixed continuous flow at every instant position of plunger, equation of motion and boundary condition were set up in condition of concentric and eccentric of pump barrel and plunger

    運用非牛頓流體力學理論和數理方法，結合抽油泵柱塞運動特點，假設液體為不可壓縮的，液體在縫隙中流動的水力半徑很小，呈層流流動，柱塞在每一位置的瞬間，流動做定常流處理，建立了泵筒與柱塞同心和偏心兩種情況下運動方程和邊界條件，引入無量綱坐標、無量綱速度和柱塞與泵筒偏心配合時的縫隙高度，並給出縫隙流流速、流量的解析解。
  11. Although uml activity diagram is magnitude component in uml, which agrees with modeling system dynamic process and describing workflow, it is immature in itself with the characteristic of non - oriented - object and essentially different from other uml diagram, and need to be ameliorated especially when applicated in workflow, own to the following limitation : firstly, activity diagram describes the behaviors of object class that response the inner action, so uml activity diagram is generally on the assumption of that there is no interruption caused by outer events during the process and no time defer, which limits the ability of uml activity diagram discribing complicated process ; secondly, user cannot obtain enough information of object data, and cannot make sure the character of mutual objects because of actually complicated object and relatively simple object expression in uml activity diagram ; lastly, owe to lacking rigorous mathematical basis and strict, effective methods of validation and analysis, uml activity diagram cannot support the simulation and optimization of workflow, let alone optimizating the model based on the result

    Uml活動圖是uml的重要組成部分，適用於系統動態行為建模和描述工作流，與uml的其他圖形工具不同，它本質上是非面向對象的，而且其本身並不成熟，仍在改進之中，特別是在工作流應用方面。首先， uml活動圖描述的是響應內部處理的對象類的行為， uml活動圖通常假定在整個計算處理的過程中沒有外部事件引起的中斷，也沒有時間的延遲，這就限制了uml活動圖對一些復雜過程描述能力。第二，現實世界業務過程涉及的對象數據十分復雜，但是uml活動圖的對象語義卻非常簡略，用戶基本上無法從uml活動圖中獲取關于對象數據的信息，也不能確定參與交互的對象的特徵。
  12. With the review of digital image properties and continued fractions theory, this dissertation focuses on the study of the image interpolation and image reconstruction ; the main contributions are as fallows : first of all, the methods of solving the problem of inverse difference being infinite are successfully found while constructing the thiele - type continued fractions. in this case it is proposed to reorder the set of interpolating points and then construct a thiele - newton blending continued fraction

    本文的主要工作可歸納如下：首先，在以圖像像素為插值節點集，構造連分式插值函數過程中出現逆差商為無窮大的情況，給出了合理的解決辦法，提出了重新調整插值節點集的節點順序、構造thiele - newton型混合有理的插值方法。
  13. Abstract : this article discussed the causes of errors in nc program of machining screw using non - instant center envelope method. an analytical method to check the accuracy of nc program has been given, thus the theory basis of improving nc program has been provided in this article

    文摘:對目前常用的無瞬心包絡法螺桿加工數控程序中產生誤差的原因進行了分析研究，提出了一種校驗數控程序精度的分析方法，為改進數控程序提供了理論依據。
  14. The discussing process follows the steps below : first, suppose the system ( 1 ) has only one finite singular point ( 0, 0 ). then we can assume b50 = 0, which special direction is determined by equation g ( 0 ) - 0, introduce poincare transformation to discuss infinite singular points, according to the coefficient conditions, list all possible infinite singular points and special directions, judging their type, drawing out all kinds of phase portraits

    本文主要內容為：一、假設系統（ 1 ）只有唯一的有限遠奇點（ 0 ， 0 ） ，則不妨設b _ （ 50 ） = 0 ，其特殊方向由示性方程g （ ） = 0給出，引進poincare變換研究無窮遠奇點，再根據各定理中的系數條件，列出系統所有可能的無窮遠奇點和特殊方向，並判斷其類型，由此畫出系統的各種可能的全局相圖。
  15. However, the technology of manufacture about helical rotor is always the key problem, which blocks its development off since 1994, the cnc research center in shenyang university of technology has pursued research on complex special helical pole. it firstly put forward the non - instantaneous pole envelope method in china, and pursued systemic research on the theory of envelope method and nc programming method, then acquired a lot of achievements. therefore in this thesis the main job is the simulation model built on basis of non - instantaneous pole envelope method and the three - dimension graphic dynamic simulation system

    從1994年起，沈陽工業大學數控研究中心即對復雜異形螺旋面加工進行攻關研究，在國內首先提出了無瞬心包絡加工方法，並對其包絡加工原理、數控編程方法等多方面進行了系統的研究並取得了一定成果，本文的主要工作即是以無瞬心包絡法加工過程為基礎建立的模擬加工模型和三維圖形動態模擬系統。
  16. This paper, firstly, introduces some basic nondestructive tests, shows the background of the subject about the test for the defect of sucker rod, by comparing with the other nondestructive tests, proves the advantage of eddy - current test, then beginning with maxwell equation in electromagnetic field theory and combining with the idea model of defect, this paper proves that the feasibility of eddy - current test technology in multi - parameter and multi - frequency which applied in the test for for the defect of sucker rod

    本文首先介紹了無損檢測技術的幾種典型方法，並給出了抽油桿裂紋檢測這個課題的背景，通過同其它幾種無損檢測技術的比較，給出了電渦流技術的優越性。然後從電磁場理論中的麥克斯韋方程出發，結合裂紋的理想模型，從理論上證明了電渦流多頻率多參數檢測技術在抽油桿裂紋檢測中的可行性。
  17. Associated with a project of the planned xuefengshan tunnel with 7. 6 km long during the construction of shaoyang to huaihua expressway in hunan province of shanghai to ruili national trunk highway, this paper firstly makes an introduction of the frequently - used analysis & computation methods for tunnel supporting structure. then, based on the analysis of the basic theory about the interaction mechanism of surrounding rock and support structure, a spatial computation model is made, a coupling numerical computation method with 3 - d elastic - plastic finite element and infinite element is proposed, and a comprehensive analysis has been made to the effects of the overall stability and safety of the surrounding rocks of different characteristics, different classes and under different construction methods. and thus the problem of 3 - d infinite region to which applying the general finite ca n ' t do has been resolved

    6公里的雪峰山隧道工程，首先介紹了隧道支護結構的常用分析計算方法；然後通過對隧道施工過程中，洞室穩定性與支護結構相互作用機理的深入分析，建立了隧道施工過程的空間計算模型，提出了採用三維彈塑性有限元-無限元耦合的數值計算方法，綜合分析了隧道在不同圍巖特性和圍巖類別條件下，以及不同施工開挖方案等對隧道圍巖整體穩定和安全性的影響，從而解決了通用有限元方法難以解決的隧道三維無限域問題；其可充分發揮有限元法在分析非線性方面的有效性和成熟性，以及無限元法在分析處理無限域和半無限域方面的精確性和簡便性，為隧道施工過程中圍巖的穩定性分析開辟了一條新的途徑。
  18. 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
  19. Finally, by means of comparing the theoretical tooth surface equation with the tooth surface equation included errors of cutter position and cutter position angle, the quantitative analysis of the theoretical tooth shape and the tooth shape considering the errors of cutter position and cutter position angle was curried out based on the software above. from which, the effect of errors of cutter position as well as cutter position angle on the processed tooth shape and transmitting behavior of this kind of gearing was studied

    最後，通過比較雙圓弧弧齒錐齒輪齒面理論方程與加入刀位及刀位角誤差后的齒面方程，應用上述軟體和通過進一步的數值計算，進行了無誤差的理論齒形與加入刀位及刀位角誤差后所得到的實際齒形之間的定量分析，比較直觀、方便、準確地對刀位及刀位角誤差對雙圓弧弧齒錐齒輪的齒形以及傳動的影響進行了初步研究。
  20. The second problem is the comparison principle on the full space. for the viscosity supsolution and subsolution v and u, we have the result u < u on the condition that lim finally, we investigate the compar - iaon principle for unbounded functions on the full space. when the equation ' s subsolution and supsolution u and v satisfy c is constant ) and the proper assumptions of the equation and the measure, we proved the comparison principle

    第二個問題是全空間上的比較原理，對這類方程的上下解v和u ，只要，也有比較結果u v ，最後討論全空間上無界函數的比較原理，當方程的上、下解低於一次增長，在對方程和測度的適當假設下，證明了粘性解的比較原理。
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