無理函數 的英文怎麼說

中文拼音 [wúlǐhánshǔ]
無理函數 英文
irrational function
  • 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...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 無理 : unreasonable; unjustifiable
  • 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. We compare the approximation of an analytic function f by its taylor polynomial and its poisson partial sum with the same number of terms and illustrate that for functions with limit zero at infinity and for bounded functions the poisson expansion provides a better approximation to the function than the taylor expansion

    在第三章中，介紹了rb曲線與poisson曲線的概念以及基本的幾何性質，指出了poisson基函數與有理bernstein基函數之間存在的關系，並且將解析函數的taylor逼近與poisson逼近進行比較。實例表明，對于在無窮遠處極限為0的函數以及有界函數， poisson逼近比taylor逼近效果要好。
  2. 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。
  3. A certain constant has been adopted as a standard to use in exponential functions. it is an irrational number.

    人們採用某常數作為指數函數中的底，這個常數是無理數。
  4. In all kinds of complicated network, oriented linking and unlinking, communication frequency resource is strained, and bandwith to transmitting audio frequency signal is too restricted, complicated and fluky, while audio frequency data exponential have been increased in the last several years. under the circumstances, based on the research of predecessor, this paper studies wavelet analysis ' s maths gist and practices significance on signal process, and puts forward a optimized wavelet package condensation arithmetic to process audio frequency data, which gives attention to coding efficiency, multirate and compression delay. simulation experiment on the arithmetic has been done by matlab

    針對無連接和面向連接的各種復雜網路環境下，通信頻帶資源緊張，音頻傳輸帶寬有限且復雜多變，而各種音頻數據又日益增多的局面，本文研究小波分析在信號處理方面的數學依據和在數據壓縮方面的實際意義，在前人不斷工作的基礎上，提出了一種優化小波包變換編碼方案用於音頻數據的壓縮演算法，兼考慮了編碼效率、多碼率和壓縮時延多個方面，並在matlab環境下做了模擬實驗，對各種音頻信號及多種小波函數做了模擬結果比較，實驗結果證明該演算法可以在一定計算復雜度下可以很好地改進壓縮效果，達到多碼率下實現實時編解碼的過程，在高速dsp晶元等硬體設備支持下，可以有效應用於實際復雜多變信源編碼。
  5. Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located

    首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。
  6. This paper focuses on the problem of semi - infinite elastic body filled with the material which behaves differently in tension and compression. the contents include : ( 1 ) the solution of elasticity theory for the material incapable in tension is established by introducing heaviside function ; ( 2 ) the solution of elasticity theory with different modulus in tension and compression is established based on the solution of elasticity theory for the material incapable in tension and mindlin ' s solution ; ( 3 ) the solution of elasticity theory with different modulus in tension and compression is employed to analyze the stress of pile foundation ; ( 4 ) the solution of elasticity theory with different modulus in tension and compression is employed to analyze the settlement of pile foundation

    本文考慮材料的拉壓性能不同的特點，對半無限空間內部作用豎向集中力問題進行了新的研究，做了如下工作： （ 1 ）引入heaviside函數，建立了不能承受拉應力材料的彈性理論解； （ 2 ）基於不能承受拉應力材料的彈性理論解和mindlin解，建立了拉壓模量不同材料的彈性理論解； （ 3 ）將拉壓模量不同材料的彈性理論解應用於樁基應力分析； （ 4 ）將拉壓模量不同材料的彈性理論解應用於樁基沉降分析。
  7. When processing of data from single - point test, the value of is generally taken by 0. 25 for calculating the open flow potential of gas well, and the result is far from that from modified isochronal test

    摘要目前，在處理一點法試井資料時，取函數為定值0 . 25來計算氣井的無阻流量，其結果與修正等時試井有很大的偏差。
  8. 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，技術上它可稱之為非線性意義為它們取決于波函數大於1次的幕而定，為非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有限數孤立點，以及為非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有任何數學上或物理上的意義。
  9. Some of the financial bond functions in the excel 2000 analysis toolpak handle the year 2000 leap day improperly

    通過進一步測試表明， microsoft excel 2000 analysis toolpak atp中的金融債券函數無法處理2000年中的閏日問題。
  10. Additional testing has revealed that a number of financial bond functions in the microsoft excel 2000 analysis toolpak handle the year 2000 leap day improperly

    通過進一步測試表明， microsoft excel 2000 analysis toolpak atp中的金融債券函數無法處理2000年中的閏日問題。
  11. 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理論，使用matlab與vb軟體建立了一套水下消聲覆蓋層吸聲系數預報軟體，研究了最優化設計中單參數最小化、無約束非線性最小化和有約束最小化理論的一些演算法，利用現有模型的吸聲系數計算公式作為目標函數，初步優化了一些結構的材料參數。
  12. In the process of solving, poles are obtained from recurrent formula, modal vector are obtained from superposition formula not residuary. decoupled equation is derived when vibration source is part correlation, severely coupling appears in the process of input and output then frequency response function cannot directly get according to method mentioned above, decoupling is first problem

    當輸入完全相關時，頻響函數無解，可繞過頻響函數，直接運用線性系統的迭加原理來求響應，極點由遞歸公式得出，模態矢量由疊加公式求出，而不是由留數求得的相應的公式。
  13. Optimal design with three variables is then done to the elbow - bar mechanism of the mp1040b moulding machine by utilizing the method of punishing function for constraint problems and variational scale for unconstraint problems. the optimal target function is the maxium of gradient in one work travel for the moulding plank of the elbow - bar mechanism. the result shows that the maximal gradient of moulding plank in one motion period declines by 25. 7 after optimization, and the angular acceleration of the bottom moulding plank decreases greatly

    動力學分析中，各構件的質量和轉動慣量是通過pro / engineer軟體，先建立各個構件幾何模型而求得；然後，利用解決約束問題的罰函數法和處理無約束問題的變尺度法對mp1040b型模切機肘桿機構進行三個設計變量的優化設計，優化目標函數為肘桿機構的下模切板在一個工作行程中達到的最大傾斜程度；通過優化設計，模切機肘桿機構的下模切板在一個工作行程中的最大傾斜程度降低了25 . 7 ，其角加速度明顯減小，提高了模切機動力學性能。
  14. 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。
  15. 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

    與傳統理論不同，新增長理論和新貿易理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非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，有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，然後運用生產函數方法對所選取的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有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系統的脈沖響應函數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。
  16. In this article, firstly the background of the textile trade conflicts within sino - us or sino - euro are introduced, thus learn that how to discern and dodge the foreign trade risks, how to choose the appropriate investment projects have already become one of the most important questions for exporting companies on foreign trade affairs well - known as high investment and high risk. so the main text makes a risk analysis qualitatively and quantitatively on a textile - exporting trading company from three angles of statistic 、 game theory and portfolio theory, which is the main content that we studied. firstly, the statistic article adopts data of the transaction closing price of the textile clothing index in shenzhen stock exchange at the end of each quarter as well as several other kinds of data reflecting the macro - economic changes, performs an empirical analysis of these data according to the theory of co - integration test 、 granger cause test and impulse response function of time series in economitric, and learn that the impact to ti is more obvious by the economic index reflecting local commodity price level and economic prosperity degree home and abroad, as well as the impact degree and the time lag degree, and knows the macro - economic risks faced by textile business enterprises ; after that by the game theory angle we analyze exactly the managing risks faced by one textile export corporation named beauty. from the game expansion chart the system arrangement between censor ways by exportation goal countries and exporting strategies by the exporting enterprises has been analyzed. involving the benefit assignment between them both the limited rounds and infinite rounds negotiations of cooperation games have been studied, and then country responsibility and the enterprise managing risks on foreign trade affairs and so on have been analyzed exactly ; in order to realize the investment multiplication in the certain degree to disperse the risk, the

    本文首先介紹了中美、中歐紡織品貿易爭端的來龍去脈，由此可知在涉外貿易這種以高投入、高風險著稱的行業里，如何甄別和規避外貿風險、如何選擇合適的投資項目已經成為外貿企業的首要問題。因此，正文分別從統計學、博弈論和投資組合三種角度對涉外紡織品貿易公司風險進行了定性和定量的分析，這也是本文的主要研究內容。首先，統計學篇選取了深圳證券交易所行業分類指數?紡織服裝指數（ ti ）每一季度末的交易收盤價和若干種反映宏觀經濟變化的指標，利用計量經濟學中時間序列的協整檢驗、 granger因果檢驗和脈沖反應函數等理論做實證分析，從而得知反映國內物價水平和國內外經濟景氣程度的經濟指標對紡織板塊上市值的沖擊比較明顯，且可知沖擊程度和時滯度，進而分析出涉外紡織企業所面臨的宏觀經濟風險;接著，從博弈論的角度具體分析一家紡織品出口公司（ beauty ）的外貿活動所面臨的各種經營風險，該篇從博弈擴展圖入手，分析了出口目的國審查方式與本企業出口策略之間的制度安排;並圍繞雙方的利益分配，研究了有限回合和無限回合合作談判博弈，然後具體論述了國家責任和企業涉外經營風險等問題;在一定程度上為了實現投資多元化來分散風險的目的，投資組合篇從經典的markowitz模型著手，在一些特定條件的限制下，給出了一個相應的投資組合模型。
  17. 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演算法求解非線性互補問題，其中a是m陣，應用弱分解理論，我們獲得了在加權范數意義下誤差的幾何收斂速度，在f （ x ）是凹函數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，該演算法具有單調收斂性。
  18. 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。
  19. The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem

    （ ? ， ? ）為r ~ n中內積， | ? |為對應范數。 f [ 0 ， t ] r ~ n r連續， ? f （ t ， x ）存在且連續， h l ~ 1 （ 0 ， t ； r ~ n ） 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性，把非線性項和位勢函數放寬到一類無界函數，推廣了這方面工作的一些已有結果；利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解，取掉了泛函的常定要求；最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。
  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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