nontrivial 中文意思是什麼

nontrivial 解釋
非平凡的
  1. In chapter 3, we will estimate the first eigenvalue of laplacian from below on manifolds with a little negative curvature. in chapter 4, we will prove the existence of bounded nontrivial harmonic functions on some classes of complete manifolds which will generalize the results of s. y. cheng ' s

    在第三章，我們將給出具有小負曲率的流形上laplace運算元的第一特徵值的下界估計；第四章，我們會給出一類完備非緊流形上非平凡的有界調和函數的存在性，推廣了s . y . cheng的結果。
  2. Is not disturbed by appending a " good " nontrivial multiplicative factor to

    以「好的」而非平凡的乘積因子， 1 -級相關函數
  3. A description of plasma instabilities in a systematic way is nontrivial.

    用系統的方法講述等離子體不穩定性並不是容易的。
  4. Data mining is an important research subject in the field of information technology. it means a process of nontrivial extraction of implicit, previously unknown and potentially useful information from data in databases or datawarehouses. it involves such subject areas as database, artificial intelligence, machine learning and statistics. classification analysis is an important data mining problem

    數據挖掘（ datamining ）是信息處理技術研究領域的一項重要課題。它是指從大型數據庫或數據倉庫中提取隱含的、未知的、非平凡的以及有潛在應用價值的信息或模式的過程。
  5. Data mining and knowledge discovery in database ( kdd ) is a rapidly emerging research field, relevant to artificial intelligence, database system and statistics. it is the nontrivial process of mining the interesting, potentially useful, valid and understandable knowledge from data

    數據挖掘與數據庫知識發現（ knowledgediscoveryindatabases ， kdd ）是當前涉及人工智慧、數據庫、統計學等學科的一門相當活躍的研究領域，是從數據中提取人們感興趣的、潛在的、可用的知識，並表示成用戶可理解的形式。
  6. Replace repeated nontrivial expressions with equivalent methods

    將重復出現的、有點復雜的表達式抽取為方法。
  7. Nontrivial solution for an elliptic equation with singularity

    帶奇點的二階橢圓型方程的非平凡解
  8. The nontrivial solutions for a class of quasilinear elliptic equations

    一類非線性橢圓型方程的非平凡廣義解
  9. In the first part, hilbert ' s 16th problem and the studies on it are introduced, and the results of zq - equivariant vector fields of degree 5 ( q = 2, 3, 5, 6 ) are given. in the second part, the definitions of zq - equivariant vector fields and the method of detection functions are stated, and all the forms of nontrivial zq - equivariant planar polynomial vector fields of degree 7 are obtained. in the third part, a concrete numerical example of zt - equivariant perturbed planar hamiltonian system of degree 7 is constructed, and for the unperturbed vector field having maximal number of centers, its global phase portraits are analyzed ( having at least 9 topologically different phase portraits ). then, for a given parameter group, its phase portrait trend is studied

    第一部分介紹了hilbert第16問題以及它的研究與發展現狀，給出了近年來利用李繼彬提出的判定函數法得出的z _ q -等變（ g = 2 ， 3 ， 5 ， 6 ）的5次系統關於它的第二部分的研究結果；第二部分介紹了z _ q -等變向量場以及判定函數法，給出了7次平面多項式系統的所有非平凡z _ q -等變向量場具有的形式；第三部分給出了一個7次平面擾動hamilton系統，研究了它的具有最大中心數的未擾動系統（ z _ 7 -等變）的全局象圖，得到了9種不同的拓撲圖形。
  10. New nontrivial elements of the homotopy group of toda - smith spectrum with filtration

    譜同倫群的具有第六濾子的新非平凡元素族
  11. We introduce liapunov - schmidt reduction method to investigate the bifurcation of a class of nonlinear reaction - diffusion equations in developmental biology. near the bifurcation point we obtain nontrivial solutions branch emitted from the trivial solution

    首先，我們引入liapunov - schmidt約化方法，應用到該方程得到該非線性微分方程在分歧點附近分歧方程的解析近似表達式及其非平凡解的漸進表達式。
  12. Bernanke, gertler and gilchrist ( 1999 ) recognize that the inclusion of a richer financial structure, at least assigning a nontrivial role for banks into the monetary transmission mechanism, would be a worthwhile theme for research

    該選題的現實意義，在於中國的金融結構正在由以銀行為基礎向以市場為導向轉型，金融結構的轉型會對貨幣傳導機制和貨幣政策效率，進而對宏觀經濟穩定產生重要的影響。
  13. Data mining means the process of nontrivial extraction of implicit, previous unknown and potentially useful information and knowledge from the large amount, incomplete, noisy, fuzzy and random data

    數據挖掘，指的是從大量的、不完全的、有噪聲的、模糊的、隨機的數據中，提取隱含在其中的、人們事先不知道的、但又是潛在有用的信息和知識的過程。
  14. Third, the ferroelectric bilayer with a thick interface may be taken as a ferroelectric sandwich structure, and the interface will play a nontrivial role on the pyroelectric properties of the ferroelectric multilayer

    （ 3 ）界面對鐵電多層結構系統的熱電性質影響很大，具有一定厚度的界面的鐵電雙層結構可以看成是一個鐵電三明治結構。
  15. Nontrivial solution for a semilinear elliptic equation

    一類超線性橢圓方程的非平凡解
  16. The grid is a set of newly technique that be constructed on the internet, it merges high - speed internet, high performance calculator, large database, sensors, the long range equipments into a whole, and provide more resource, functions and alternations to technological personnel and ordinary user. there are three principles to measure whether a system can be called grid or not, 1 ) coordinates resources that are not subject to centralized control ; 2 ) using standard, open, general - purpose protocols and interfaces ; 3 ) to deliver nontrivial qualities of service. a system which strictly meet the above three principles can be called grid. rid architecture includes the fabric layer - - local resources interfaces ; connectivity layer - - manage communications ; resource layer - - sharing a single resource ; pool layer - - correspond resources ; application layer ? self - definition grid application. it defined the basic construction of grid, the function and purpose of the architecture, and how to alternate these components do. in the domestic and international grid research and applied realm, digital libraries have played a pivotal role

    作者在對數字圖書館網格信息資源和非網格信息資源比較的基礎上，論述了一個異構信息同構化集成的跨庫檢索的方法;構建了網格環境下數字圖書館信息資源管理和信息資源組織的概念模型，並對其中的四個主要步驟進行了論述，包括信息資源描述、信息資源發現、信息資源發布和信息資源命名;論述了元數據在dl網格信息資源組織中的應用，及基於元數據的dl網格信息資源組織的原則;其後對數字圖書館網格信息資源調度和本地資源調度的進行了比較，簡述了數字圖書館網格信息資源調度的目的和作用;對數字圖書館內容分發網路和內容分發網格進行論述和比較;最後提出在內容分發網格的基礎上，融入數字圖書館自身的特點，構架出數字圖書館內容分發（調度）網格的層次架構。
  17. Data mining is defined as the nontrivial extraction of implicit, previously unknown, and potentially useful information from data or known as knowledge - discovery in databases ( kdd ). to do this, data mining uses computational techniques from statistics, machine learning and pattern recognition such as discriminate analysis, regression method, mathematical programming, decision tree, k - nearest neighbor, artificial neural network etc. although many positive attempts are done, the development and application of personal credit assessment model in chinese bank industry is still in its infancy

    數據挖掘是20世紀90年代後期人工智慧和數據庫領域興起的一種數據處理和知識發現（ kdd ）理論，是從大量的、不完全的、有噪聲的、模糊的和隨機的實際應用數據中，提取隱含在其中的信息和知識的過程。對數據進行分類和預測是數據挖掘的主要功能。數據挖掘用於信用評估的優勢主要在於: （ 1 ）能處理和修正實際數據問題，演算法模型具有自檢
  18. It is well known that discrete wavelet transform yields a shift variant signal representation, which means that a simple integer shift of the input signal will usually result in a nontrivial modification of the decomposed coefficients

    近年來，基於小波變換的多傳感器融合得到了廣泛的關注與研究。但小波變換由於其變換過程中存在2取1的抽樣過程，使得小波變換不具備移不變特性。
  19. In the second part, we consider a class of reaction - diffusion equations in developmental biology. near the bifurcation points, using the liapunove - schmidt reduction process, we obtain the nontrivial solution branches which are bifurcated from the trival solution when the parameter changes

    然後考慮發育生物學中一類反應擴散方程組，在分歧點附近利用liapunov - schmidt約化技巧，得到了從平凡解分歧出來的隨參數變化的非平凡解枝以及它們的近似解析表達。
  20. The approximate analytical expressions of the nontrivial solutions are given to compare with the numerical solutions of the nonlinear problem

    最後我們對具體例子進行了數值計算，近似解和數值解的相符表明了分歧分析的有效性。
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