dirichlet function 中文意思是什麼

dirichlet function 解釋
狄利克雷函數
  • dirichlet : 邊界條件
  • function : n 1 功能，官能，機能，作用。2 〈常 pl 〉職務，職責。3 慶祝儀式；（盛大的）集會，宴會。4 【數學】...
  1. Applying the results to optimal controller to realize the minimizer of the cost function of mkdv - burgers equation under neumann and dirichlet boundary control. secondly, using inertial manifold and approximate inertial manifold theory, the approximate inertial manifold under fourier bases is given and we construct a set of odes of three modes to obtain the long - time dynamic behavior

    其次，利用慣性流形和近似慣性流形理論，給出mkdv - burgers方程在fourier基下的近似慣性流形，並且把這一方程所確定的無窮維動力系統約化為一組三模態下的常微分方程組，從而研究這一方程所確定的動力系統的長期動力學行為。
  2. Continuity, integrability and differentiability of riemann function are discussed ; especially, the non - differentiable properties on [ 0, 1 ] are proved, and dirichlet ' s function is comparated with it

    摘要從黎曼函數的簡單特徵入手討論它的連續性、可積性、可導性，特別是證明了黎曼函數在區間[ 0 ， 1 ]上處處不可導，並結合狄利克雷函數加以引申和推廣。
  3. In this paper, we first study the growth and regular growth of dirichlet series of finite order by type function in the plane and obtain two necessary and sufficient conditions ; and prove that the growth of random entire functions defined by random dirichlet series of finite order in every horizontal straight line is almost surely equal to the growth of entire functions defined by their corresponding dirichlet series. then we define the hyper - order of dirichlet series of infinite order respectively in the plane or in the right - half plane, study the relations between the hyper - order and regular hyper - order of dirichlet series of infinite order and the cofficients ; obtain the hyper - order of random entire functions defined by random dirichlet series of infinite order in every horizontal straight line is almost surely equal to the hyper - order of entire functions defined by their corresponding dirichlet series

    本文首先利用型函數研究了全平面上有限級dirichlet級數的增長性和正規增長性，得到了兩個充要條件；證明了有限級隨機dirichlet級數的增長性幾乎必然與其在每條水平直線上的增長性相同。對于無限級dirichlet級數，分別在右半平面及全平面上定義了其超級的概念，研究了它們的超級和正規超級與其系數間的關系；得到了平面上無限級隨機dirichlet級數的超級幾乎必然與其在每條水平直線上的超級相同。
  4. From mathematical models for inverse scattering in two dimensional homoge - nous media including dirichlet, neumann, robin, all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill - posed integral equation and indicator function method are formulated for the diverse of boundary identification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solv - ing it by virtual of regularity method, meanwhile, some numerical tests are given. 2

    在二維均勻介質逆散射各種邊界識別的數學模型（包括dirichlet ， neumann ， robin ，各種可能的混合邊界問題，裂紋問題）下，分別考慮了正散射問題和逆散射問題，推導了上述各種邊界識別的不適定積分方程以及指示函數方法，由於積分方程的核充分表徵了散射物的邊界，由此說明只要利用正則化方法求解該積分方程，就可以確定散射物的邊界，並給出了一些數值實驗。
  5. The relations between the rearrangement of the coefficients of a dirichlet series and the order of growth of this series sum - functions were investigated. the rearrangement characteristics of two type of the dirichlet series2 sum - function with the same order of growth ( = + or = 0 ) were obtained

    本文在文[ 7 ]的基礎上研究dirichlet級數的系數的重排與此級數的和函數的增長級的關系，獲得了使兩類dirichlet級數的和的和函數的增長級保持0或+不變的重排的特徵。
  6. 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。
  7. The entire function expressed by a general random dirichlet series

    級數表示的整函數
  8. Growth of entire function represented by dirichlet series

    級數所表示的整函數的增長性
  9. Growth of entire function represented by random dirichlet series

    級數表示的整函數的增長性
  10. The growth of entire function represented by b - valued random dirichlet series

    級數表示整函數的增長性
  11. Analytic function represented by dirichlet series of complex exponents

    級數表示的解析函數
  12. Furthermore, with the induction of precision order of a type - function u ( r ), the necessary and sufficient conditions of the dirichlet series, which keep unaltered the order and the type, are obtained. such a result naturally has a bearing on " rearrangement problem " of power series and abel summable series

    此外，當狄里克萊級數引入精確級后，得到了有限級狄里克萊經過重排后的精確級以及關于型函數u （ r ）的型保持不變的充要條件。
  13. The first, the achievement of dirichlet series in the right half - plane and in the complex plane for a few years are related. on the base of this, when the general exponential condition holds, and under the condition of lim = 1, i study infinite order dirichlet series in the right half - plane and in the complex plane, and obtain the relations between the order of growth of dirichlet series and conffieients. the second, we study the factorization of entire function in the condition of composition of functions, and obtain the necessary conditions of some pseudo - prime or e - pseudo - prime functions

    本文分兩部分，第一部分就右半平面上的dirichlet級數和全平面上的dirichlet級數這兩方面對近年來的研究成果作了簡單的敘述，在此基礎上，作者在一般的指數條件與（ ? ）情形下，對右半平面上和全平面上的無限級dirichlet級數作了系統研究，獲得dirichlet級數的系數與增長性之間關系的一些新結論。第二部分研究整函數的因子分解，得到判斷函數為擬素的或e ?擬素的一些必要條件。
  14. The linear growth of the entire function expressed by the double random dirichlet series

    級數所表示的整函數線性增長性
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