非有理函數 的英文怎麼說

中文拼音 [fēiyǒuhánshǔ]
非有理函數 英文
non-rational function
  • : Ⅰ名詞1 (錯誤) mistake; wrong; errors 2 (指非洲) short for africa 3 (姓氏) a surname Ⅱ動詞1 ...
  • : 有副詞[書面語] (表示整數之外再加零數): 30 有 5 thirty-five; 10 有 5年 fifteen years
  • : 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...
  • : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
  • : 數副詞(屢次) frequently; repeatedly
  • 有理 : 1 (有道理) reasonable; justified; in the right 2 [數學] rational; 有理函數 rational function; ...
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  1. It is proven that these modified dual algorithms still have the same convergence results as those of the conceptional dual algorithms in chapter 2 and chapter 3. secondly, a dual algorithm is constructed for general constrained nonlinear programming problems and the local convergence theorem is established accordingly. the condition number of modified lagrange function ' s hessian is estimated, which also depends on the penalty parameter

    證明這些修正的對偶演算法仍具同前兩章的概念性對偶演算法相同的收斂性結果,我們還進一步構造了一般約束線性規劃問題的對偶演算法,建立了相應的局部收斂論,最後估計了修正lagrange的hesse陣的條件,它同樣依賴于罰參
  2. Second, we discuss the influence of environmental referance potential temperture and thermal wind on mesoscale symmetric instability. we find the expression of disturbance stream function and criterion of symmetric instability by analytical method and conclude that change caused by environmental referance potential temperture with height and thermal wind make critical richardson number and disturbance critical half - wave length of symmetric instability larger, that is to say, they benefit the occurance of symmetric instability. third, we study nonlinear perturbation analysis of mesoscale vertical circulation and evolution equation by means of f - plane. non - hydrostatic balance and filiter model

    第二,討論了環境位溫與熱成風因子對中尺度對稱不穩定的影響。運用解析的方法求出了擾動流的表達式和對稱不穩定的判據,發現環境參考位溫隨高度的變化與熱成風因子使得對稱不穩定臨界查遜及擾動的臨界半波長都變大,這利於對稱不穩定的發生。第三,採用f平面、靜力平衡、濾聲波模式,討論了中尺度垂直環流線性攝動分析及演變方程。
  3. In fact, the deep overlapping of the wavepacket of particles implies new interactions which are technically called nonlinear ( in the sense of depending on powers of the wavefunctions bigger than one ), nonlocal ( in the sense that they are extended over the volume of wave - overlappings which cannot be evidently reduced to finite number of isolated points ), as well as nonpotential ( in the sense of being of contact / zero { range type for which the notion of action - at - a - distance potential has no mathematical or physical meaning of any type }

    事實上,粒子相互之間深深重疊的波包意味著新型的相互作用,技術上它可稱之為線性意義為它們取決于波大於1次的幕而定,為局部意義為它們的延伸超越了波重疊的體積,使其顯然無法再縮小到孤立點,以及為潛能意義為相互接觸零距離,在這種情況下一定距離下作用的潛勢不再任何學上或物上的意義。
  4. In this paper matlab and vb are used to build a software which can predict absorption coefficient ' s of the underwater anechoic coatings from these analytical models. finally, some algorithm of the single parameter minimization, nonrestraint nonlinear minimization and restraint minimization in the optimization design theory are studied. the formulas of absorption coefficient of these analytical models are object functions

    本論文利用各種解析模型的聲學設計論,使用matlab與vb軟體建立了一套水下消聲覆蓋層吸聲系預報軟體,研究了最優化設計中單參最小化、無約束線性最小化和約束最小化論的一些演算法,利用現模型的吸聲系計算公式作為目標,初步優化了一些結構的材料參
  5. Rs theory was proposed by pawlak in 1982. the focus of rs theory is on the ambiguity caused by limited discernibility of objects in domain of discourse. fuzzy set theory was proposed by zadeh in 1965 and hinges on the notion of a membership function on the domain of discourse, assigning to each object a grade of belongingness in order to represent an imprecise concept. the combination of fuzzy sets and rough sets are a new study and is very value in fact

    粗糙集論是波蘭學家z . pawlak於1982年提出來的兩種處不確定和不精確據的論,是通過等價關系來研究對象之間的不可分辨關系;模糊集論是美國控制論專家zadeh於1965年提出的一種處精確的現象的學工具,是利用集合的特徵來處邊界的不可定義性,在模糊集合中並沒應用對象之間不可分辨性的概念。
  6. Therefore, a model of three sectors, respectively referring to domestic sector, manufacturing export sector and primary product export sector, has been established here to measure the technology spillover effects of export on domestic sector. finally, based on a broader framework, this dissertation went on to investigate the relationship between openness and china ' s economic growth, while the result shows that though there exists a notable dispute about how to measure the degree of china ' s openness, the index of trade dependence still maintains the better one to reflect china ' s economic openness. in the meanwhile, impulse response function ( irf ) method and forecasting errors variance decomposition ( fevd ) method, both of which are based on the vector auto - regression ( var ) system, are used here to investigate the dynamic relationship between openness and china ' s economic growth

    與傳統論不同,新增長論和新貿易論都強調技術進步的作用,因此本文構建了一個三部門的技術外溢效應模型(國內部門、工業製成品出口部門以及初級產品出口部門) ,考察了工業製成品出口和初級產品出口對國內出口部門不同的技術外溢效應;第四,從更加廣闊的視野就貿易開放度與中國經濟增長問題進行研究,關貿易開放度如何度量一直是存在較大爭議的問題,本文首先對該類研究文獻進行了較為詳盡的述評,然後運用生產方法對所選取的5個貿易開放度度量指標進行了檢驗,結果發現盡管一些已研究認為外貿依存度無法真實度量一國經濟開放水平,但是本文研究結果表明外貿依存度仍是度量我國貿易開放度的較好指標,進一步採用基於var系統的脈沖響應法以及預測誤差方法分解法對貿易開放促進經濟增長的作用進行了動態刻畫。
  7. First, we consider an additive schwarz algorithm for the solution of ax 4 - f ( x ) 0, x when coefficient a is an m - matrix and f ' ( x ) 0. by applying the theory of weak regular splitting of matrices to the above considered algorithm, we obtain the weighted max - norrn bound for iterations. moreover, under the assumption that f ( x ) is concave, we establish monotone convergence of the considered algorithm

    本文內容如下:首先,應用加性schwarz演算法求解線性互補問題,其中a是m陣,應用弱分解論,我們獲得了在加權范意義下誤差的幾何收斂速度,在f ( x )是凹的假設下我們還獲得了此演算法的單調收斂性,同時我們給出此演算法的一種修改演算法,無需前面的假設,該演算法具單調收斂性。
  8. First, in virtual of identification of flaws is a typical of in - verse problems, proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation, the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given. second, the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon. finally, indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects, meanwhile, the proof of possibility for near - field measurements and nu - merical simulation are given

    由於缺陷的識別是一類典型的反問題,因而首先從時諧電磁maxwell方程和helmholz方程出發,具體地闡述了求解正散射問題的關方法,包括各種(夾雜)邊界條件下的值解法,就解的存在性唯一性給予了肯定的回答;隨后對逆散射問題的論作了簡短的回顧,包括解的唯一性以及線性不適定積分方程的處等;然後對均勻介質和均勻介質的逆散射問題建立了在各種邊界條件下的邊界識別的指示方法,鑒于近場據獲得的重要性,對近場測試時邊界識別的方法給予了相應的證明,並且實現了值模擬。
  9. To overcome this problem, the author researching from the core of active disturbance rejection control theory " fal function ", having the advantage of : small errors, large gains ; big error, the small gains character, designs a nonlinear pid gesture controller. simulation results showed that the design of nonlinear pid controller shortening the small satellite gesture catch time and improving the attitude control precision

    為了克服這個問題,本文從自抗擾控制論中的核心「 fal」出發,基於fal ( e , , ):小誤差,大增益;大誤差,小增益的特性,設計了一種線性pid姿態控制器,比較好的縮短了小衛星姿態捕獲時間,一定程度上提高了姿態控制的精度。
  10. 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,因為束暈的形成著其內在動力學機制?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線性控制g :並選取一些線性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。
  11. Taking load uncertainties, infeasibility problem and multiple objection of the reactive power optimization in the radial distribution system into consideration, loads are modeled as fuzzy interval numbers. fuzzy power flow is proposed based on fuzzy interval load for the more practical membership function of line losses rate and maximal voltages offset. this thesis presents multiple objection model of the reactive power optimization considering uncertainties using the fuzzy set theory

    對配電網電壓無功優化問題中負荷的概率性的不確定性問題、多目標問題、約束不可行性問題進行了研究,用模糊區間來描述實際的負荷情況,並用負荷的模糊區間值計算配電網的潮流,得到功功率損耗和電壓的模糊區間值,使網損率和節點電壓最大偏移量的隸屬更接近實際情況;將改進遺傳演算法與模糊集論相結合,通過求解多目標和約束條件的模糊集合的交集,得出網損率和節點電壓最大偏移量最小的最優運行狀態。
  12. Rational function solutions of nonlinear evolution equations

    線性發展方程的
  13. Finally we also discuss explicit exact solutions of kdv, coupled kdv and a compound kdv - burgers equations etc. wu algebraic elimenation method is most important basic tool during the course of solving proplem

    我們還研究了kdv ,耦合kdv方程及一類組合kdv - burgers方程,一類線性演化方程精確解,這些解包括奇性孤波解,周期解和解。
  14. | | of sb and that there exists a positive nondecreasing function ( a ), a > 0, such that with some k, r, b > 0. then assuming also that ( ) is a regularly varying function at zero, or at infinity, with a positive exponent, [ l ] has proved large deviation results for increments like sup sup | | ( t + s ) - ( t ) | |, which then used to establish module of continuity and large increment estimates for ( )

    假設存在正的降的( a ) , a 0 ,使得對某個k , , 0 ,成立,還假設( ? )是帶一個正指,在零點正則變化的,文[ 1 ]中給出並證明了形如的增量的關結論,並由此建立了( ? )的大增量及連續模的極限定
  15. Neural network has the ability of approaching nonlinear function at random precision, so that correct non - linear errors of angular rate sensor on the basis of neural network method

    神經網路具論上以任意精度逼近線性的能力,故本文採用基於神經網路方法來校正角速度傳感器的線性誤差。
  16. In chapter 2, we study the regularity of solutions of some second order differential equations. in chapter 3, we study the regularity of solutions of higher order non - homogeneous differential equations where coefficients are rational functions or super entire functions. in chapter 4, we study the regularity of solutions of higher order homogeneous differential equations where coefficients are super meromorphic functions

    其中第二章研究了某些二階方程解的正規性;第三章在系分別為和超越整的情況下研究了高階齊次方程解的正規性;第四章在系為超越亞純的情況下研究了高階齊次方程解的正規性;第五章則是假設在方程系為正規亞純的條件下得到的解的增長性方面的結果。
  17. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章,第一章為引言;第二章研究一類線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性,以及古典解的爆破;第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性,具體情況如下:在第二章中,我們研究一類線性高階波動方程的如下初邊值問題:或或其中a _ 1 , a _ 2 , a _ 3 0為常, ( s ) , ( s _ 0 , s _ 1 , s _ 2 , s _ 3 , s _ 4 , )為已知的線性, u _ 0 ( x ) , u _ 1 , ( x )為已知的初始,為此,我們先用四階常微分方程邊值問題的green把上述問題轉化為等價的積分方程,然後利用壓縮映射原證明此積分方程局部古典解的存在性和唯一性,又用解的延拓法證明上述問題整體古典解的存在性和唯一性,主要結果:定1設u _ 0 ( x ) , u _ 1 ( x ) c ~ 4 [ 0 , 1 ]且滿足邊界條件( 2 ) ,若以下條件滿足:其中a , b月0為常, w
  18. The whole paper consists of three parts : part is about general theory of the least positive period, which argues the necessary and sufficient condition for the existence of the least positive period for a periodic function, and concludes " the existence of the least positive period for that periodic function, which is continuous at least one point and not equal ever to a constant " ; part researches the least positive period for the sum of two periodic functions, followed its general expression ; part discusses non - periodicity for the compound function constructed by a periodic function and a non - periodic function, and the corresponding results

    全文分為三部份:第一部份是關于最小正周期的一般論,得到了周期最小正周期的充分必要條件,也獲得了「至少在一個點連續且不恆等於常的周期最小正周期」的結論;第二部份分析了兩個周期之和的最小正周期的問題,給出了其一般表達式;第三部份討論了周期與某些類型的周期構成的復合周期性問題,並得出相應結論。
  19. It comes up with a new notion, d - solution, which is applied to the distance estimation, by virtue of hilbert space ; furthermore, the dissertation has gained a necessary condition which is identity of minimum mean - square value in linear function classes, so that d - solution extends minimum mean - square value within the domain of nonlinear function equation or equation system ; and, the dissertation studies in detail the classical moment estimation and maximal likelihood estimation on the parameters of ar ( p ), a series of theorems in the estimation section shows the moment estimators are consistent on the ground of large samples jikewise, those distribution functions of the estimated parameters accord to maximum likelihood estimation converge gauss distribution if the white noise is gaussan

    首先,藉助hilbert空間論,提出了距離估計的d -解,給出了d -解的必要條件,這個條件在線性類里即是極小二乘估計法, d -解的必要條件滿足的方程實質上將極小二乘估計法推廣到多線性類。再而,詳細地研究了多元弱平穩序列自回歸模型ar ( p )的參經典的矩的替代估計和極大似然估計,獲得矩的替代估計的一致性的結果。對基於gauss白噪聲假設多元弱平穩序列自回歸模型的均值、白噪聲的協方差陣的極大似然估計都依分佈收斂到多元正態分佈的統計性質。
  20. The approximation property of projection pursuit wavelet neural network ( ppwnn ) which is applied to non - linear function is studied, the convergence rate is given in this paper also. 3. we demonstrate projection pursuit wavelet neural network ( wppnn ) has a good applicability by the approximation of five non - linear functions and the prediction of sunport and chaos time series and the use of edge detection

    主要工作如下: ( 1 )建立了投影尋蹤小波神經網路的學模型、拓撲結構及線性學習機; ( 2 )證明了投影尋蹤小波神經網路可以逼近線性,並給出了其收斂速度; ( 3 )通過投影尋蹤小波神經絡對五種線性的逼近和對太陽黑子、混沌時間序列的模擬預報以及投影尋蹤小波學習網路在圖象邊緣檢測中的應用,說明該網路具很強的實用性。
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