operator n. 1.操作者,機務員;司機,駕駛員;【軍事】電話兵;【電話】接線員,話務員(=telephone operator);【電報】報務員。 2.(外科)施行手術者。 3.掮客,經紀人。 4.【語法】功能詞。 5.【數學】算子,算符。 6.經營者;〔美國〕工廠主,資方。 7.投機商人,騙子;精明圓滑的人。 8.【戲劇】燈光助理員。 an operator's set 話務員的電話機。 a telegraph operator 電報報務員。 an unitary operator 公正算符。 a mine operator 礦山經營者,礦主。
The resolvent operator of the 2n - order j - selfadjoint vector differential operator with one endpoint singularity 自伴向量微分算子的預解算子
A important result abrout the left - infinitesimal operator and the right - resolvent operator of a two - parameters semigraoup 雙參數半群的左無窮小算子和右預解算子的一個重要結果
Abstract : the present paper presents a new type of extension of markov process , which is , the condition of markov process as well as q process , and the expression of resolvent operator 文摘:提出一種新型的馬氏過程延拓,同時給出了這種延拓既是馬氏過程又是q過程的條件及預解算子的表達式
Some new predictor - corrector methods and three - steps iterative algorithms for solving multivalued general mixed quasi - variational inequalities is presented by using the auxiliary principle and resolvent operator technique , respectively 利用輔助原理和預解算子技巧,提出了解一般混合集值擬變分不等式的預估-校正算法和三步迭代算法。
An iterative algorithm for a class of set - valued mixed variational inequalities is presented by means of resolvent operators of set - valued mappings , and the convergence of the iterative algorithm is discussed 摘要利用集值映射的預解算子,提出了求解一類集值混合變分不等式問題的迭代算法,并討論了該算法的收斂性,推廣了已有文獻的結果。
We construct some new iterative algorithms with errors for solving these generalized fuzzy variational inclusions by using the resolvent operator technique for maximal - monotone mappings and prove the convergence of iterative sequences generated by the algorithms 為了利用-極大單調映象的預解算子技巧求解這類廣義模糊變分包含,我們建立了一些新的含誤差的迭代算法,并證明了由這類算法產生的迭代序列的收斂性。
The same rank lipschitz continuous development of single - valued mappings is proven by means of partially ordered theory on finite dimensional euclidean spaces . the problem that under what conditions the - resolvent operator of a maximal tj - monotone set - valued mapping is a lipschitz continuous single - valued mapping on whole space , which also answers the open problem mentioned above , is studied on finite dimensional euclidean spaces . the problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is a lipschitz continuous single - valued mapping on whole space ?引入了集值映射的-預解算子概念;借助于偏序理論證明了有限維歐氏空間中的單值映射可同秩lipschitz連續拓展;討論了有限維歐氏空間中的極大-單調集值映射的-預解算子在什么條件下是整個空間上的一個lipschitz連續的單值映射,這一結果也在有限維空間上解決了上面提到的公開問題;還討論了真泛函的-次微分映射的-預解算子在什么條件下是整個空間上的一個lipsehitz連續的單值映射。
In three part we study the ergodicty for k - regularized resolvent operator families including the mean ergodicty , abel - ergodicity and cesaro - ergodicity . we prove the mean ergodic theorems of k - regularized resolvent operator families . and we give out the definition of abel - ergodicity and cesaro - ergodicity for k - regularized resolvent operator families . moreover , we give the relationship between the two kinds of ergodicity and their basic properties 我們證明了k -正則預解算子族的平均遍歷定理。給出了k -正則預解算子族的abel遍歷性和ces ro遍歷性的定義,并證明了它們的相互關系和一些基本性質。
In the final part we concern with the convergence rates of ergodic limits and approximation for k - regularized resolvent families for a linear volterra integral equation . we give the ergodicty for k - regularized resolvent operator families at 0 and we also prove their basic properties by means of k - functional and relative completion . finally , we obtain some results of the convergence rates of ergodic limits and approximation for k - regularized resolvent families 第四章我們主要研究了k -正則預解算子族的遍歷極限的收斂率和逼近。借助于k -泛函和相對完備化,給出了k -正則預解算子族在0點的遍歷性,證明了一些基本性質。我們也證明了k -正則預解算子族的遍歷極限的收斂率和逼近的一些結果。
One is , based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory , to research the existence of solutions , global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping . two is to consider the convexity , closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory . three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions 研究分有三個方面:一是借助于偏序理論在有限維歐氏空間中解決了上述公開問題,在此基礎上利用集值映射的-預解算子,研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性,并提出了一類變參數三步迭代算法;二是借助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性;三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性并提出了一類求解廣義集值變分包含問題的直接變參數三步迭代算法。