推運算元 的英文怎麼說
中文拼音 [tuīyùnsuànyuán]
推運算元
英文
estimator-
It is perhaps worth a short digression to discuss the possibility of the range of an operator not being closed, and its consequences.
在此值得稍離本題討論運算元的值域非閉的可能性及其推論。Fuzzy logic and fuzzy reasoning based on triangular norms
運算元的模糊邏輯和模糊推理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。The most plausible operatorial generalization of result of preceding paragraph is known as the "mean ergodic theorem for unitary operators. "
前段結果可以推廣到運算元去,其中最近情近理的推廣是「單運算元的平均遍歷定理」。The second part consist of chapter four. in chapter one, we study the energy density of harmonic map from finsler manifold and generalize classical result in [ se ]. in chapter two, we obtain lower estimates for the first eigenvalue of the laplace operator on a compact finsler manifold, and it generalize lichnerowicz - obata theorem [ li ] [ ob ]. in chapter three, we derive the first and second variation formula for harmonic maps between finsler manifolds. as an application, some nonexistence theorems of nonconstant stable harmonic maps from a finsler manifold to a riemannian manifold are given
第一章討論finsler流形到黎曼流形調和映射的能量密度的間隙性,推廣了[ se ]中的結果。第二章對緊致finsler流形上laplace運算元的第一特徵值的下界作了估計,推廣了黎曼流形上的lichnerowicz - obata定理[ li ] [ ob ] 。It has been deduced that the search direction remains the same but that the step length decreases in optimizing the improved cost function with the conjugate gradient algorithm from the gradient of the cost function that the fir filter apporaches the contrary point spread function ( psf ) more, and that the estimated image is closer to the original one
從代價函數的梯度入手推導出共軛梯度演算法,其搜索方向保持不變而搜索步長變小,使濾波系數更加退近於點擴展函數逆運算元,從而使估計圖像與原始圖像更加接近。The most plausible operatorial generalization of result of preceding paragraph is known as the " mean ergodic theorem for unitary operators.
前段結果可以推廣到運算元去,其中最近情近理的推廣是「單運算元的平均遍歷定理」 。In the last, the problem of the perturbation of fuzzy reasoning is discussed in detail, and the maximum perturbation parameters for various methods of fuzzy reasoning is estimated according to the choice of conjunctive operator and implication operator
根據椎理規則中合取運算元與蘊涵運算元的不同選取方式,對各種模糊推理方法的最大攝動參數進行了評估,為實際應用中選擇恰當的模糊推理方法提供了一個準則In the first chapter, we obtained weighted norm inequality on the commutators, by proving a variant of sharp function estimates ; j. orobitg and c. perez introduced ap weights for nondoubing measures and proved weighted norm inequality of c - z singular integrals. in the second chapter, we obtained weighted inequalities of fractional integral and its maximal function with ap ( u ) weights for nondoubing measure ; e. sawyer obtained a weak type double weights inequality for fractional integrals in [ 13 ]. in the third chapter, we generalized the sawyer ' s result for non - doubling measures
本文第一章通過證明一個變形的sharp估計,從而得到奇異積分交換子的加權有界性; j . orobitg和c . p rez在文[ 10 ]中引入了非倍測度的a _ p權理論並證明了c - z奇異積分的加權有界性,本文第二章得到了分數次積分運算元和分數次極大函數在非倍測度下a _ p ( )權的加權估計; e . sawyer在文[ 13 ]中得到了分數次積分的一個雙權弱型不等式,本文第三章把e . sawyer的結果推廣到非倍測度的情形。The recognition of the global nature of propagators as the difficulties " physical genesis led researchers to develop and investigate propagation methods based on the expansion of the total field by sets of spatially confined wave functions, or in other words, to construct localized wave field propagators instead of the traditional global propagators
認識到全局性傳播運算元在波場外推中的困難,近二十年來,許多研究都致力於發展基於波場局部空間分解的局域化傳播運算元以替代傳統的全局運算元。In the study of risk theory, a class of continuous time risk process with deficit - time geometry distribution of claim inter - occurrence time was made into a strong piecewise - deterministic markov process with the theory of piecewise - deterministic markov process and by introducing a supplementary variable. martingale approach is one of the most powerful methods of pdmp. the programming process is getting the ruin probability from the martingale construction. we use the idea of change of measure in the programming process and find the result and the function of adjustment coefficient
本文應用逐段決定馬爾可夫過程理論及補充變量技巧,使索賠到達間隔服從虧時幾何分佈的連續時間風險過程成為齊次強馬爾可夫過程,然後利用pdmp中的鞅方法(用廣義生成運算元得出鞅)推導了鞅的形式,作為該風險模型索賠額分佈為一般分佈下的破產概率的一般表達式,其中用到了測度變換的思想。In order to find out a novel fuzzy inference algorithm being superior to cr1 algorithm and a novel fuzzy neural network, the author deduces nine kind of triple i algorithms by nine fuzzy operators. further more, the author compares these algorithms with the ordinary intuitional rules respectively and gives a conclusion that rl - type triple i algorithm is rather more closely to the intuitional rules. because fuzzy neural networks require the conditions of continuous and differential on membership functions of fuzzy sets and fuzzy operators of fuzzy inference, by means of comparison study, the author obtains a conclusion that the fuzzy neural networks with production operator and cr1 inference algorithm are very fit to study the problem of control
為了找出優于cri演算法的模糊推理方法和新型模糊神經網路,本文首先對常用九種模糊運算元給出了具體三i演算法,並從模糊推理的另一個方面,考察了各種演算法對日常直觀模糊推理規則的貼近程度,得出「 r _ l型三i演算法貼近日常直觀推理規則」這一結論;同時,考慮到模糊神經網路要求「網路輸出保持對模糊運算元和隸屬函數連續性、可微性」這一特性,通過比較研究,得出利用乘積運算元和cri推理的模糊神經網路最適合控制問題。As the applications of mixed monotone operators theory, some classes of equations are considered. some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro - differential equations and nonlinear elliptic equations are discussed. some known results are generalized under weak conditions. and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup. the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained
作為混合單調運算元理論的應用,本章討論了非線性混合單調脈沖積微分方程和混合單調非線性橢圓方程方面的一些問題,不同程度地削弱了原有的條件,推廣了已知的結果;還利用錐理論並結合運算元半群的性質及其主要特徵討論了非線性脈沖發展方程初值問題、周期邊值問題,給出了混合單調非線性脈沖發展方程的耦合周期解以及存在唯一解的充要條件。This paper first gives out an new derivation method of generalized interpolatin, splines, and then obtains the analytic properties of the generalized interpolating splines with obstacles by the new method
摘要本文由樣條的極值性質出發給出了微分運算元插值樣條(即廣義插值樣條)新的推導方法。2. by doing precise computation of spectral radius of linear operator of linear equation and by using measure of noncompactness and leray - schauder type fixed point theorem of condensing mapping, the existence and the uniqueness of the solutions are obtained, which extend the results recently achieved in this field
二、通過線性方程解運算元譜半徑的論證,在緊型條件下利用凝聚映射的leray - schauder不動點定理及冪壓縮映射不動點定理,獲得了解的存在性與唯一性結果,這些結果推廣了近期這方面已有的一些結果。After a short - term load forecasting method based analogous and linear extrapolation is proposed, the load forecast and the priority of equipment action are led into static reactive power optimization. the aim function is constructed for the practical situation of power system. on the basis of traditional genetic algorithm the fitness function and the holding of population diversity are improved
在提出基於相似日和線性外推的短期負荷預測新方法的基礎上,將負荷預測和設備動作優先級引入靜態無功優化中,並結合電網實際情況,構造了實用的目標函數,對遺傳演算法的適應度函數和群體多樣性的保持進行了改進,採用鄰域搜索運算元增加遺傳演算法的局部尋優能力。When the author sets up the mathematics model with describing the process of two - dimensional debris flow, he develops the continuity equation by the law of conservation of mass and establishes the momentum equations by the law of conservation of momentum. the author makes full use of the advanced computer technologies, establishes the finite difference equation of numerical simulation by the differential operator fission method, and writes programs for computers which contact friendly with the other programs. the parameters are directly input on the keyboard
在泥石流堆積數值模擬方面,作者以前人工作成果為基礎,在建立數學模型時,根據質量守恆原理,推導建立了泥石流連續性方程,根據動量守恆原理,推導建立了泥石流運動方程;在數值解法上,充分利用高速發展的計算機技術,採用運算元分裂法建立數學模型的差分格式,開放式編製程序,人機對話方式設置參數,計算機程序具有通用性、可擴展性和易維護性。In this chapter, a - type positive homogeneous operators are generalized as e - a type positive homogeneous operators. moreover, the continuity, properties of norm, and completeness of operator space are investigated for e - a type positive homogeneous operators
本章將正齊次運算元推廣為?正齊次運算元,並討論了?正齊次運算元的連續性、范數性質、以及運算元空間的完備性等。We detailed toeplitz operator with unomodular symbol, and generated the theorem proved by michael sand in [ 2 ] from h to h + c ( t ). in the second part of this paper, the author discussed simply when multipliction of two toeplitz operators with symbol in h + c ( t ) or in l. we got two conclusions by analyzing symbol of toeplitz operators. the last, we investigated whether multiplication of two toeplitz operators, which range included all non - cyclic vectors of backward shift, is surjective, and partly answered the question about surjective toeplitz algebra posed by michael sand in [ 2 ]
對于單個的toeplitz運算元,考慮其符號的內外分解,得到了它的滿射只與其幺模部分有關的結論,詳細地討論了符號為幺摸函數的toeplitz運算元的各種情況,在討論符號在h ~的特殊情形時,推廣michaelsand [ 2 ]中的定理2到h ~ + c ( t ) ,第二部分簡單地討論了符號在h ~ + c ( t )以及l ~中的兩個toeplitz運算元的乘積的滿射情況,先對toeplitz運算元的符號進行分析得到兩個結論,最後考察了toeplitz運算元的乘積的值域包含后移運算元的所有非循環向量的滿射情況,部分地回答了michaelsand在[ 2 ]中提出的toeplitz代數滿射問題。Nc machining requires " interpolation " algorithms that accurately and efficiently generate sequences of reference position, distributed according to a prescribed feedrate function, along the tool paths. this paper present a systematic derivation of the proper taylor series coefficients for variable feedrate interpolators. when the path is ph curves, detailed formulations for instances are presented where the feedrate v is specified as a constant, the function of the time t, the arc length s and the local curvature k
對于nc加工要求插值演算法沿著刀具路徑準確、有效的生成參考點序列(根據預先指定的速率函數進行分佈)的實際工程需要,本文系統地推導了變速率插值運算元的泰勒系數,給出了當路徑為ph曲線,速率v為常數,及時間t 、弧長s 、曲率k的函數時具體的插值運算元。分享友人