無界函數 的英文怎麼說

中文拼音 [wújièhánshǔ]
無界函數 英文
unbounded function
  • 無 : 無Ⅰ動詞（沒有） not have; there is not; be without Ⅱ名詞1 （沒有） nothing; nil 2 （姓氏） a surn...
  • 界 : 名詞1 （相交的地方; 劃分的界限） boundary 2 （一定的范圍） scope; extent 3 （按職業、工作或性別等...
  • 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. 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. The bifurcation analysis of the model depending on all parameter indication that it exhibits numerous kinds of bifurcation phenomena, including the saddle - node bifurcation, the supercritical and subcritical hopf bifurcation, and the lioinoclinic bifurcation. in the generic case, the model has the bifurcation of cusp type ol ' codimension 2 ( i. e. bogdanov - taken bifurcation ) but for some specific parameter values it has a multiple focus of multiplicity at least 2. and, we give the global analysis

    本文考慮具非單調功能反應函數的捕食者?食餌系統，討論了系統的bogdanov - taken分支，給出了不同種類的分支現象，包括鞍-結點分支，上臨界與下臨界hopf分支，和同宿軌分支，並討論了無窮遠點的定性分析，給出了全局結構。
  4. The result can be used in control problems whether the time interval is finite or infinite, the control set is bounded or unbounded, and also for systems with a weak differentiable function, i. e., the function f is only strong continuously g - differentiable but not f - differentiable. so, th 6. 2. 7 is a uniform theory of optimal control, and it has wide - ranging applications

    可以看到，我們的結11摘要果可用於有限時域和無限時域、有界控制和無界控制、並且對系統中函數f的可微性要求也有較大的減弱? f對狀態變量x可以是僅有強連續的g一導數、不要求為f一可微。
  5. Evading risk in financial trading market cries for pricing options to a nicety. asian option, as the most flourish options in the finace market, the pricing has been focused on always. the exact pricing formula for the geometric average asian option had existed, but as to the european - style arithmetic average asian option, due to the dependence structure between the prices of the underlying asset, no analytical formula exists. on the hypothesis that the market is frictionless and without transaction costs 、 on the base of b - s ’ s and in the binomial tree model, we provide several algorithms for computing an accurate value of the european - style arithmetic average asian option. following rogers and shi and by jensen ’ s inequality, many different upper and lower bounds are provided ; meanwhile a formula have got by the comonotonicity and approximating the distribution function. all of the algorithms are easy for programming. with the development of computer, more accurater price can be computed quickly. and numerical example proved that these algorithms are very accurate

    對于幾何平均亞式期權它的定價相對簡單，已經給出了定價公式。對于算術平均亞式期權，它的未定權益具有軌道依賴特性，一直沒有得到它的定價方程的解析解形式。本文基於對市場是無摩擦且在沒有交易費用的情況下，在b - s模型下，利用二叉樹模型給出了算術平均亞式期權定價方法;並總結了利用jensen 』 s不等式給出的各種不同情況下的上下界;同時應用共單調性和近似分佈函數的方法也給出了算術平均亞式期權價格的近似公式。
  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. One of its most important applications is to improve the optimization algorithms by evaluating the relevant derivatives information efficiently the aim of the work includes : to establish and study new algorithms - - cf - pcg algorithrns with ad ; to establish and study the extended cf - pcg algorithm ( ecfpcg ). cf - pcg algorithms with ad is proposed on the basis of cf - pcg algorithms with sd, in addition to replace sd with ad, there are other significant modification to the algorithms. the results by theoretical analysis and numerical experiments implicate that cf - pcg algo - rithm with ad is an improvement to newton method with ad

    論文首次將自動微分應用於牛頓- pcg型演算法，構造了新演算法，並從理論上比較了新演算法與牛頓法的效率，證明了新演算法的效率嚴格大於牛頓法的效率，而且新演算法與牛頓法的效率比分別是問題維數n和目標函數復雜性的嚴格單調遞增函數，當n趨于無窮大時，這個效率比的下界以ln （ n ） ln2的速率趨于無窮大。
  9. Equation ( 4 ) is said to belong to limit circle type if all solutions of equation ( 4 ) belong to l ~ ( 2 ) ( simply denoted by l. c. ) equation ( 4 ) is said to belong to lagrange stable if all solutions of equation ( 4 ) belong to ( simply denoted by l. s. ). in chapter 4, we study criteria for the linear nonhomogeneous differential equation belonging to the limit circle type

    方程（ 』 ）稱為極限圓型的，若方程（ 』 ）的所有解都屬于護[ a ， co ） （簡記為l . c . ） ;方程（ 』 ）稱為拉格拉日穩定，若方程（ 』 ）的所有解均屬于lco [ a ， co ） （簡記為l . s . ） .由於方程（ 』 ）解的平方可積性及有界性的研究在微分運算元理論、按微分方程的特徵函數展開理論以及無界區間上受控系統的最佳控制理論等方面具有重要應用
  10. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  11. Chapter 6, consider a coupled generalized kdv - burgers equation. in section 6. 2, we study the initial - boundary value problem in the semi - unbounded domain, the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time. in section 6. 3, the cauchy problem by using the weighted space, the existence of the global attractors for a coupled generalized kdv - burgers in an semi - unbounded domain is proved

    第六章，考慮了一類廣義耦合的kdv - burgers方程，在第二節中討論了半無界區域上的初邊值問題，證明了整體光滑解和整體吸引子的存在性；在第三節中討論了cauchy問題，利用加權函數和加權空間上的插值8不等式，證明了半無界區域上整體吸引子的存在性。
  12. Thirdly, the conclusions of the two aspect applications are given as follows : the exploration of the application of the evaporation duct prediction to the flux relationship research and evaporation duct predicting shows that based on this predicting method and with microwave refractometer, as sensor, ( 1 ) the dimensionless gradient function of temperature, humidity and refractivity in the flux relationships can be determined with higher precision, ( 2 ) the limitations of conventional observations on the predicting accuracy for evaporation duct can be avoided and the precise prediction for evaporation duct can be obtained with the accurate measurement of refractivity profile within a few meters. the radar performance under given evaporation

    三、對兩個應用問題的討論表明：基於本文發展的蒸發波導預測理論，使用微波折射率儀為傳感器： （ 1 ）開展通量關系研究時，可以用於邊界層溫度、濕度和折射率無量綱梯度函數的精確測定和得到蒸發波導環境預測所需的偽折射率參數化函數關系； （ 2 ）預測蒸蒸發波導環境特性和傳播特性及其應用研究發波導環境時可以避免使用傳統氣海界面要素測量中存在的局限，並用折射率音d面不太高的精確測量結果精確預測蒸發波導環境。
  13. Space - time wave has a far greater and wider significance than particle wave vibration. no matter what mechanical vibration, electromagnetic surge or vocal wave, they are all manifestation of space - time vibration or a certain wave in special scope, all of which are general phenomena in nature of both macrocosm and microcosm, and can be expressed by stwf

    時空波動比粒子振動或波動有更廣泛深刻的含義，凡有空間有物質存在的地方都存在著時空波動，無論是機械振動電磁振蕩聲音振動等均是時空波動的某種表現形式，或是在某個特定時空范圍的波動，這種自然界的普遍現象在宏觀或微觀世界都可用時空波函數表達出來。
  14. 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。
  15. The dissertation refers to comparatively full literatures in the field of vsc, and the development history and characteristics of vsc are summarized, and the elementary concepts, elementary definitions, elementary properties, elementary principles and design methods are particularly introduced, and the causes of the chattering phenomenon are systematically analysed, and the study status of the chattering phenomenon and the main methods to eliminate the chattering are elaborated. for the deficiencies of traditionary methods, three improved methods are developed, which are improved exponent reaching law solution, variable boundary layer solution and the solution by adding an auxiliary continuous control term. for uncertain linear systems, an adaptive fuzzy integral variable structure control stategy ( afivsc ) is put forward to eliminate the chattering around the sliding plane, which introduces fuzzy logic to soften the non - linear discontinuous sig nal in the control variable and utilizes adaptive theory to adjust output membership function according to how much the uncertainty of the system is

    比較全面地查閱了關于變結構控制理論的文獻，總結了滑模變結構控制的發展歷史和特點，詳細介紹了變結構控制的基本概念、基本定義、基本性質、基本原理以及設計方法；系統分析了變結構控制系統抖振產生的機理，並闡述了國內外目前對抖振問題的研究現狀以及消除抖振的主要方法；針對傳統抑制和消除抖振方法的不足，改進了傳統方法，得到了三種新的消除抖振的方法? ?即改進的指數趨近律法、可變邊界層法和附加連續項法；針對不確定性線性系統，在變結構控制策略中引入模糊邏輯和自適應理論來消除滑動平面上的抖振，提出了一種自適應模糊積分變結構控制方案（ afivsc ） ，利用模糊邏輯來柔化控制量中非線性不連續部分，採用自適應理論，根據系統不確定性大小在線調整模糊輸出量的隸屬函數，另外，鑒于模糊控制本質上是有靜差的，所以本文選擇了帶積分項的切換函數，由於積分項的存在使系統較正為無靜差系統。
  16. 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。
  17. Points interpolation method ( pim ) which is a new meshless method reduces the complexities in calculating the shape function of other meshless methods, and the hardness in dealing with the essential boundary conditions etc

    摘要點插值法是一種新型的無網格法，它改善了其他無網格方法中形函數計算復雜、本質邊界條件處理困難等問題。
  18. However, because the meshless methods are relatively new, there exist the following technical problems : 1. complexity in algorithms for computing the interpolation functions ; 2. difficulties in the implementation of essential boundary conditions ; 3

    本學位論文針對目前無單元發展中存在的主要技術問題：形函數計算；本質邊界條件實現；影響域大小（包含其中的點數）的確定；輔助積分網格等問題進行了研究。
  19. The second problem is the comparison principle on the full space. for the viscosity supsolution and subsolution v and u, we have the result u < u on the condition that lim finally, we investigate the compar - iaon principle for unbounded functions on the full space. when the equation ' s subsolution and supsolution u and v satisfy c is constant ) and the proper assumptions of the equation and the measure, we proved the comparison principle

    第二個問題是全空間上的比較原理，對這類方程的上下解v和u ，只要，也有比較結果u v ，最後討論全空間上無界函數的比較原理，當方程的上、下解低於一次增長，在對方程和測度的適當假設下，證明了粘性解的比較原理。
  20. On operators and approximation of unbounded continuous functions

    運算元與無界函數逼近
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