有窮函數 的英文怎麼說

中文拼音 [yǒuqiónghánshǔ]
有窮函數 英文
finite function
  • 有 : 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
  • 窮 : Ⅰ形容詞（貧窮） poor; poverty stricken Ⅱ名詞1 （窮盡） limit; end 2 （姓氏） a surname Ⅲ副詞1 （...
  • 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
  • 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. 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。
  3. The derivate of the function with finite limit at the infinite point

    在無窮遠處有有窮極限的函數的導數
  4. With the review of digital image properties and continued fractions theory, this dissertation focuses on the study of the image interpolation and image reconstruction ; the main contributions are as fallows : first of all, the methods of solving the problem of inverse difference being infinite are successfully found while constructing the thiele - type continued fractions. in this case it is proposed to reorder the set of interpolating points and then construct a thiele - newton blending continued fraction

    本文的主要工作可歸納如下：首先，在以圖像像素為插值節點集，構造連分式插值函數過程中出現逆差商為無窮大的情況，給出了合理的解決辦法，提出了重新調整插值節點集的節點順序、構造thiele - newton型混合有理的插值方法。
  5. The application of functions in the calculation of infinite series

    函數在無窮級數有關計算中的應用
  6. For some non - symmetric homogeneous domains, we can also get the explicit formulas of their bergman kernel functions by hua method [ xu4 ] [ gi ]. we know the complete orthonormal system of the bounded reinhardt domain made up of monomials, and complex ellipsoid domain is the bounded reinhardt domain, so the explicit formulas of the bergman kernel functions are obtained by summing an infinite series in some cases ( called method of summing series )

    對於一些非對稱的齊性域，也可以用華羅庚方法得到它們的bergman核函數的顯表達式我們知道，有界reinhardt域的完備標準正交系由單項式組成，而復橢球域是包含原點且以原點為中心的有界reinhardt域，於是可以通過無窮級數求和函數的方法，計算其bergman核函數的顯表達式，這種求bergman核函數的顯表達式的方法稱為級數法。
  7. Theoretical analysis and experimental results indicate that algorithm ecfpcg1 and algorithm ecfpcg2 es - tablished by specifying parameters are much more efficient than the imth method, and roughly speaking, the relative efficiency of the algorithms versus the imth method tends to + 00 at the asymptotic formula inn / in3 when n tends to + 00

    理論分析結果表明：這兩個演算法比imth方法具有更高的效率，而且，演算法ecfpcg1的效率高於演算法ecfpcg2的效率。進一步地，演算法ecfpcg2與imth方法的效率比分別為問題維數n和目標函數復雜性嚴格遞增函數，而且這個效率比的下界隨問題維數n的增大以ln （ n ） ln3的速率趨于無窮大。
  8. Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result ; it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal

    小波分析優于傅里葉之處在於，小波分析在時域和頻域同時具有良好的局部化性質，因為小波函數是緊支集，而三角正、餘弦的區間是無窮區間，所以小波變換可以對高頻成分採用逐漸精細的時域或空間域取代步長，從而可以聚焦到對象的任意細節。
  9. Secondly, the penalty coefficient may converge to infinity in many situations when the iterative point is closely near the bound of feasible set, while the parameters are bounded if the solution set of constrained optimization is nonempty, which is available for numerical computation

    另外在很多情況下，罰函數法中的罰因子當迭代點接近可行域邊界時趨于無窮大，而參數控制演算法中，只要約束優化問題有最優解，則參數是有界的，這對數值計算是有利的。
  10. 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。
  11. According to the theory of continuous - time markov chains, given a g - matrix q, it is possible that there exist infinite transition functions and therefore there maybe exist infinite positive contraction semigroups ( co semigroups ) on l1 derived from q - matrix q. but each positive contraction semigroup has and only has one infinitesimal generator

    給定一個q -矩陣q ，可能存在無窮多個轉移函數，從而在l1空間上可能有無窮多個正的壓縮半群（ c _ 0半群）與之對應，而每個正的壓縮半群有且僅有一個無窮小生成元。
  12. This paper mainly discusses the periodic solutions of some integral and differential equations with infinite delay. the studies of the existence and uniqueness of the periodic solutions and the stabilities of these equations have attracted great concern in recent years and many good results have been obtained. this paper has further extended these conclusions on the foundations of them, and obtained some new results with the method of exponential dichotomy, fixed point theorem and liapunov functional respectively

    本文主要討論具有無窮時滯積分微分方程的周期解。對于這類方程周期解的存在唯一性和穩定性的研究近年來已經引起人們極大的關注，也得到了若干很好的結果。本文主要是在這些結果的基礎上將已有結論做了進一步的推廣，分別用指數型二分性，不動點定理， liapunov泛函的方法得到一些新的結論。
分享友人
分享到 Line

分享到臉書