次線性泛函 的英文怎麼說

中文拼音 [cìxiànxìngfànhán]
次線性泛函 英文
sublinear functional
  • 次 : Ⅰ名詞1 （次序; 等第） order; sequence 2 [書面語] （出外遠行時停留的處所） stopping place on a jou...
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 泛 : Ⅰ動詞1 [書面語] （漂浮） float; drift 2 （透出; 冒出） be suffused with 3 （淹沒） inundate; floo...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  1. Secondly, the nonlinear optical properties with pna molecule in different solvents are studied through using the polarized continuum model and few states approach on the base of time dependent density functional theory, and the first order nonlinear hyperpolarizabilities in second harmonic generation process are computed

    然後在含時密度泛函理論基礎上採用極化連續模型和少態方法研究了不同溶劑中pna分子的非線性光學性質，計算了二次諧波振蕩過程的一階非線性超極化率，並討論了pna分子的非線性光學性質與溶劑極性之間的關系。
  2. Using the conic function model local approximation, w. cdavidon ( 1980 ) proposed a class of iterative algorithms with modified matrix combining function value, furthermore under the theory d. c. sorensen has used local quadratic approximation method, then applying collinear scaling idea improving on the above algorithm and generalizing it, getting a class of collinear scaling algorithm, unifying former quasi - newton. in the paper, using local quadratic approximation method, the first, constructing the new collinear scaling gene, getting a class of the new collinear scaling algorithm with briefness and numerical stability, ., we discusses some properties of the algorithm and its local linear convergence, q - superlinear convergence and the whole convergence ; secondly we have made numerical experimentation and numerical analysis ; the last, we have done much discussion for collinear scaling idea and given the several new collinear scaling algorithm

    本文的工作就是基於局部二次逼近原理，首先通過構造新的共線調比因子，得到了一類新的更簡潔，數值穩定性更好的共線調比演算法，進而我們給出了本共線調比演算法的局部收斂性，全局收斂性以及演算法q -超線性速度的理論證明；其次，用經典的無約束優化五大考核函數就本共線調比演算法進行了數值試驗和數值分析；最後，就局部二次逼近思想，進行共線調比演算法思想進行更廣泛的討論，給出了幾個新共線調比演算法。
  3. According to the dirac constrain theory and the extended condition, we deduce the gauge generators, show the brst transformation of ( 1 + 1 ) dimension o ( 3 ) non - linear model under the new general condition. we first gain the new general commutation relations of ghost field, deduce the brst charge from gauge generator, complete the general brst quantization of the model, get green function, connecting green function and generating functional, gain three kinds of ward identities. at last, we complete the brst quantization of o ( 3 ) non - linear model with topological term in ( 1 + 1 ) dimensions space - time

    最後依據dirac約束規范理論和推廣的條件，導出了規范生成元，推導出了1 + 1維o （ 3 ）非線性模型的新的一般條件下的brst變換，給出了其brst變換與dirac規范變換的等價性，首次得到了鬼場的一般對易關系，且其一般參數為零時就回到通常的鬼場的對易關系，第一次由規范生成元導出了brst荷，進而完成了此模型的一般的brst量子化，並在此基礎上進一步導出了此系統的green函數、連通green函數生成泛函和正規頂角生成泛函，獲得了三種不同的ward恆等式。
  4. The stability perturbation bounds of a single - input - single - output system with both parametric and dynamic uncertainties is studied. the parametric uncertainties of the systems are described by interval perturbation mode, and the dynamic uncertainties are characterized by an integral quadratic constraint. based on the concepts of the minkowski functional, the problem of stability perturbation bounds is discussed, and for different uncertainty structures of the systems, the infinite stability checking problem of the mixed uncertain system can be converted to finite vertex - checking results and the edge - checking results

    系統的正向通道為帶有參數不確定性的線性系統，其不確定性為區間攝動模式，反饋通道為由積分二次約束給出的輸入輸出不確定性加以描述。用minkowski泛函給出區間攝動模式下的攝動界的定義，並給出參數空間中混合攝動模式下系統攝動界的估計式。
  5. Secondly, combining the unified colored noise approximation and the functional analysis, the steady state distribution function is derived when both multiplicative colored noise and additive white noise are included in a bistable system with colored coupling between two kinds of noise. through the two - state theory, the expression of signal - to - noise ratio ( snr ) is obtained. the phenomenon of stochastic resonance is investigated

    其次，我們綜合運用統一色噪聲近似和泛函近似的方法，推導了含有乘性色噪聲和加性白噪聲，並且兩種噪聲之間的耦合為色噪聲的雙穩非線性系統的定態分佈摘要不同類型的色噪聲對非線性光學系統的影響函數，然後通過雙態理論求出系統信噪比的解析表達式，對系統的隨機共振現象進行分析。
  6. In the forth chapter, we define a notion of the blossom for rational functional. existence and uniqueness property and dual functional property of the rational blossom are given. specially, the blossoming form for rational b ( ? ) zier curves of n degree is given

    在第四章中，給出了關于有理函數的有理blossom的定義、唯一存在性以及對偶泛函性質；具體給出了二次有理b zier曲線的blossoming形式和一般n次有理b zier曲線的blossoming形式。
分享友人
分享到 Line

分享到臉書