函數論的 的英文怎麼說

中文拼音 [hánshǔlúnde]
函數論的 英文
function theoretic
  • 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
  • 論 : 論名詞（記錄孔子及其門徒的言行的「論語」） the analects of confucius
  • 的 : 4次方是 The fourth power of 2 is direction
  • 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. According to the least twin multiplication to calculating the sensitivity index in several water production functions. thus, the writer obtains the fitted the value of the sensitivity index and the varied rule. at the same time, the writer puts forward a new method named rag a ( real coding based accelerating genetic algorithm ) and combines raga with dpsa to calculating the best irrigation system under the non - sufficient irrigation of well irrigation rice in sanjiang plain

    根據《隨機水文學》理論中的時間序列分析法，建立了適合三江平原井灌水稻需水量預報的非平穩時序隨機模型；通過分析降雨隨機特性，選定季節性時序隨機模型，建立了適合三江平原井灌水稻降雨預報的月平均降雨模型；根據最小二乘法，計算出幾種常用水分生產函數中的敏感指數及敏感系數，進而得到三江平原適宜採用的水分生產函數漠型及模型中敏感指數的變化規律；本文提出遺傳動態規劃法（ raga ? dp ） ，即採用改進的基於實數編碼的加速遺傳演算法（ realcodingbasedacceleratinggeneticalgorithm ，簡稱raga ）與動態規劃法（ dpsa ）相結合，推求非充分灌溉條件下三江平原井灌水稻的最優灌溉制度。
  2. We make the following assumption for when 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of least squares estimate have been discussed in many documents. considered 2 is nonnegative definite matrix, this thesis derives best linear unbiased estimate of parameter matrix b and estimable parameter function kbl under the meaning of matrix nonnegative definite and the property of maximum probability of blue is investigated. next, we discuss some necessary and sufficient conditions of the equality of the lse and blue, then we derive the estimation of the deviation bet - ween the least squares and the best linear unbias estimators of the mean matrix, meanwhile a relative efficiency of lse ofb is proposed and its bound is given

    當0時，眾多文獻討論了回歸系數陣的各種估計及lse的有效性，本文考慮了當0的情形，給出了回歸系數陣b及其可估參數函數kbl的在矩陣非負定意義下的最優估計（ blue ） ，研究了它的一個最大概率性質，並且討論了最小二乘估計成為最佳線性無偏估計的充分必要條件，在此基礎上給出了均值矩陣的最小二乘估計與blue的偏差估計，定義了lse相對于blue的一個相對效率，並給出了它的界。
  3. In this thesis, we demonstrate the study of si - based light emitting materials and its importance in si - based photonics integration. we discussed mainly the gain, differential gain, threshold current of si - based quantum - dot laser and the dependence of threshold current on temperature from discrete energy level of three - dimension confined quantum - dot and state density distribution of 5 - function

    本文闡述了si基光發射材料的研究進展及它在硅基光電子集成中的重要地位，從三維受限量子點的分立能級和函數狀的態密度分佈入手，著重討論了si基量子點激光器的增益、微分增益、閾值電流及閾值電流的溫度特性。
  4. 2. nonlinear source term identification problem about a quasilinear parabolic heat equation is investigated. for the given function determined, the existence and the uniqueness of the solution of the state equation are proved and the dependence of the solution of the state equation on the identification parameter is discussed ; then the identifiability is verified ; through choosing suitable basic functions, the above identification problem can be transformed into a constant coefficients identification problem ; and an practical iterative algorithm for solving the identification problem is presented, the feasibility and validity of the algorithm is verified by the numerical experiments

    2 、研究一擬線性拋物型熱傳導方程非線性未知源項的識別問題；對于給定識別函數，論證了狀態方程解的存在惟一性、方程解與識別函數的依賴關系和可識別性；通過選取適當的基函數，把對非線性源項的識別轉化成常系數識別問題；給出了實現非線性源項識別的迭代演算法，通過數值實驗證明了演算法的有效性。
  5. Based on the count of failure in the samplers, this paper analyzes the weak link of the quality of domestic automobile products. with the help of mathematical statistics and automobile reliability theory, we get the failure law of bus, truck and car of the domestic automobile industry and their failure distribution function, reliability function, probability density function, and failure rate function. accordingly, the present situation of reliability in domestic automobile products is expounded

    本文通過對樣車的故障進行統計，分析了我國汽車產品質量的薄弱環節，並藉助數理統計手段和汽車可靠性理論，得出了國產客車、載貨汽車以及轎車的故障規律和相應的故障分佈函數、可靠度函數、故障密度函數及故障率函數，論述了國產汽車產品的可靠性現狀。
  6. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one - dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. therefore the relationships between energy levels and wave functions of one - dimensional harmonic oscillator and hydrogen atom are found. through the coordinates transform, the relationships between energy levels and wave functions of two - dimensional harmonic oscillator and hydrogen atom are found

    首先綜述了諧振子與氫原子的基本理論的研究現狀，並在此基礎上對諧振子與氫原子的關系展開了研究，通過厄密特方程與拉蓋爾方程的相互轉化，將一維諧振子與一維氫原子的本徵值方程轉化為相同形式的方程，從而比較得出它們能量及波函數間的關系，並通過坐標變換將直角坐標系下二維氫原子的本徵值方程轉化成與曲線坐標系下二維諧振子的本徵值方程相同的形式，從而得出二維氫原子與二維諧振子的能量及波函數的關系。
  7. In this paper, we discuss the normality of a family of holomorphic functions which improved results due to xuyan and hua xing - hou ( superscript [ 2 ] )

    摘要本文討論了全純函數族的正規性，改進了徐焱和華歆厚（上標[ 2 ] ）的結果。
  8. Some identitiess are important in function theory, combinatorial mathematics, analytic theory of number and other regions. in this paper, some combinatorial identities are proved based on binomial generating function

    摘要一些恆等式在函數論、組合數學、解析數論等學科的研究領域中極為重要。以二項式作為生成函數，給出了幾個組合恆等式證明。
  9. And so on, the mathematical model and transfer function of the tracking system are built, and the feasibility of the tracking control system design is demonstrated. furthermore, the static error of the system with a unit incline input is deduced. a majority of model of unit is based on analytics, so the general model can apply to other optical intersatellite communications systems

    在此基礎上，將atp跟蹤控制子系統視為線性定常系統，通過解析法和實驗法對子系統的各個控制環節的單元器件進行合理建模，得出整個環路總的開環及閉環傳遞函數，論證了本課題所設計的atp跟蹤控制環路的可行性及其視軸輸入為斜坡信號時的理論穩態誤差。
  10. In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied

    首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。
  11. Secondly, because of the faultiness of these algorithmic routines of dissipation factor in existence, this dissertation puts forward an improved correlation function algorithm based on wavelet analysis, and the improved algorithm focuses on two lesding aspects : one is the methods to reduce noise and distill the fundamental, the other is the means to reduce the errors resulted by frequency fluctuating

    其次針對現有介損計算方法的不足，提出了一種基於小波變換理論的改進相關函數法的介質損耗值計算方法，主要從去噪、提取基波的方法以及降低由於電網頻率波動所造成的誤差兩個方面來考慮。並對此方法進行了模擬分析和驗證了改進演算法的優越性。
  12. Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered

    本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識，並以頻譜理論作為主要研究工具，對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究，給出了廣半bent函數定義，並探討了廣半bent函數的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件；討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系，探討了它們的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法，並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上；利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法，還給出了從已有的p值k階擬廣義bent函數出發，遞歸構造變元個數更多的p值k階擬廣義bent函數的方法；初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用；給出了一類布爾函數walsh譜的分解式，並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造，特殊情形下為k階擬bent函數；利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵，並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。
  13. For the general multivariate linear model, in this paper, the necessary and sufficient condition for admissibility of the linear estimator for sx in the class of linear estimator under different criteria is gained

    摘要對於一般未知方差多元線性模型，討論了共同均值矩陣參數的可估函數sx的線性估計在線性估計類中的可容許性問題，證明了在本文所給的不同優良準則下可容許性是等價的，並得到了它們的充要條件。
  14. In this paper, the convergence theorems of the adjustable entropy function method are studied

    摘要對調節熵函數法的收斂性作了理論分析。
  15. In the second chapter we study the properties of the weighted dirichlet - type spaces and composition operators on them. we not only characterize these spaces by taylor series, but also give sufficient and necessary conditions in terms of carleson measure for the boundedness and compactness of composition operator. moreover, we apply the comparability propositions which induced from above sufficient and necessary conditions to discuss the relationships between the compactness of composition operator cv and angular derivative or innerness of the inducing function, and so on

    本文討論了一類函數空間相互的包含關系，而對其中的加權dirichlet型空間，不但給出了空間的相互包含關系，並且對它進行了級數刻畫；利用carleson測度，刻畫了加權dirichlet型空間上復合運算元的有界性及緊性，並利用由此得到的比較性命題討論了復合運算元的緊性與角導數，內函數等的關系。
  16. The form of the psf has been deduced according to the fresnel diffraction, and it has been analyzed that the frings density of the psf depends on the axicon ' s refracting angle and the distance l between the point light source to lens l2

    利用菲涅耳衍射理論，推導出相干光照明下無衍射系統的點擴散函數（ psf ）的形式，並分析出點擴散函數的條紋疏密與錐鏡的夾角和點光源的位置有關。
  17. Therefore, computation of the bergman kernel function by explicit formula is an important research direction in several complex variables. up to now, there are still many mathematicians working in this direction

    因此，如何求bergman核函數的顯表達式一直是多復變函數論的一個重要的研究方向，至今仍吸引著許多數學家對此進行研究。
  18. In the fifth chapter, we use the the methods of function theory establised a class of analytic reproducing kernel space, we call it a generalized arveson space. we study the relationship of these space, and obtain some intersting results, we also defined toeplitz c * - algebra on the generalized areveson space, obtain some results of toeplitz c * - algebra on the generalized areveson space

    在第五章中，我們利用函數論的方法建立了更廣泛的一類解析的再生核空間，稱之為廣義arveson空間，討論了它的一些關系，並得到了一些有趣的結果。還定義了廣義arveson空間上的toeplitzc * -代數，建立了廣義arveson空間上的toeplitzc * -代數的一些性質。
  19. Two problems concerning solid variable function

    關于實變函數論的兩個問題
  20. To investigate generalization capability of feedforward neural networks ; the influencing factors of generalization capability of feedforward neural networks are analyzed according to function theory

    摘要針對前向神經網路泛化問題，從函數論的角度分析了影響前向神經網路泛化性能的因素。
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