有界線性運算元 的英文怎麼說
中文拼音 [yǒujièxiànxìngyùnsuànyuán]
有界線性運算元
英文
bounded linear operator- 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
- 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...
- 線 : 名詞1 (用絲、棉、金屬等製成的細長的東西) thread; string; wire 2 [數學] (一個點任意移動所構成的...
- 性 : Ⅰ名詞1 (性格) nature; character; disposition 2 (性能; 性質) property; quality 3 (性別) sex ...
- 運 : Ⅰ動詞1 (物體位置不斷變化) move; revolve 2 (搬運; 運輸) carry; transport 3 (運用) use; wield...
- 算 : Ⅰ動詞1 (計算數目) calculate; reckon; compute; figure 2 (計算進去) include; count 3 (謀劃;計...
- 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
- 運算 : [數學] operation; arithmetic; operating
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Abstract : a cad tool based on a group of efficient algorithms to verify, design, and optimize power / ground networks for standard cell model is presented. nonlinear programming techniques, branch and bound algorithms and incomplete cholesky decomposition conjugate gradient method ( iccg ) are the three main parts of our work. users can choose nonlinear programming method or branch and bound algorithm to satisfy their different requirements of precision and speed. the experimental results prove that the algorithms can run very fast with lower wiring resources consumption. as a result, the cad tool based on these algorithms is able to cope with large - scale circuits
文摘:介紹了一個基於標準單元布圖模式的電源線/地線網路的輔助設計集成工具.它應用了一系列高效的演算法,為用戶提供了電源線/地線網路的設計、優化和驗證的功能.非線性優化技術、分枝定界演算法和不完全喬萊斯基分解的預優共軛梯度法是該工作的三個主體部分.用戶可以選擇使用非線性規劃的方法或者幾種分枝定界方法來滿足他們對于精度和速度方面的不同需求.實驗結果表明,文中所提供的演算法可以在很快的運行速度下實現更低的布線資源佔用.因此,在這些有效演算法基礎上實現的輔助設計工具具有處理大規模電路的能力The results that are quoted in this paper are classical conclusions. on the basis of the results. this paper discusses the invertibility of operators. ci operators and generalizes. some results about spectral theory of bounded operators and properties of mbekhta subspaces in terms of mbekhta subspaces
本文中引用的結論大都是此方面的經典結論。在此基礎上,本文作者運用mbekhta子空間討論了有界線性算予的可逆性, ci運算元的判定。We study the spectral theory of bounded linear operators and the characterization of ci operators by way of mbekhta ' s subspaces. we find a series of operators which are ci operators by the defination and the characterization of ci operators given by weibang gong in [ 3 ]
利用mbekhta子空間研究一般有界線性運算元的譜理論以及描述ci運算元的特徵;用ci運算元的定義和判定方法尋找更廣泛的ci運算元;同時還討論了廣義逆運算元和ci運算元及mbekhta子空間的關系。Then the relation of regular operators, bounded operators and linear operators on banach lattices are given, that is lr ( e, f ) lb ( e, f ) l ( e, f ) ; order dual, operator dual and algebra dual are related, i. e. e " c e * c e #
然後給出banach格空問上正則運算元,有界運算元和線性運算元的關系: lve ; f ) of 。 ef ) clp , f ) ;給出了序對偶,運算元對偶和代數對偶的關系: e 』 ce 」 ce個然後引入賦值映射人證明了j是保格運算的格同態Secondly, in view of the limitation and shortage of traditional simulation of finite element approaches for bolt, a new composite grouted bolt element including nonlinear contacting relation will be built based on the above study of the mechanics mechanism of fully grouted bolt. then, an elastic - plastic finite element program will be developed for the analyses of tunnel stability, in which the composite grouted bolt element and nonlinear finite element analysis method will be used ; the patterns and the affect of main design parameters on the support effect of bolt will be analysed using the program, and conclusions of guidance importance for tunnel support design will be drawn. finally, simulation compution for the excavation and support of a highway tunnel will be made out using the above production, and the method of application of the program will be discussed ; analysis of the deformation, stress and distribution of plastic range will be done, and rational support plan will be worked out, which is of guidance importance for tunnel support design and the thery and technique of fully grouted bolt used in tunneling will be perfected further
首先,本文在綜合分析隧道穩定性影響因素及失穩破壞模式的基礎上,對全長粘結式砂漿錨桿作用力學機理進行了深入研究,為全長粘結式砂漿錨桿的有限元模擬分析奠定了基礎;其次,針對傳統錨桿有限元模擬方法的局限性與不足,在上述全長粘結式砂漿錨桿作用力學機理研究基礎上,建立出能反映界面非線性粘結的新型復合砂漿錨桿有限單元模型;然後,運用上述復合砂漿錨桿單元模型,引進非線性有限元分析手段,開發了隧道支護穩定性分析的有限元程序,並就全長粘結式砂漿錨桿的型式與設計參數對支護效果的影響進行了深入探討,得到了對隧道支護設計具有指導意義的結論;最後,運用本文研究成果對某公路隧道工程實例進行了開挖與支護的模擬計算,探討了其應用方法,並就隧道變形與應力及塑性區分佈規律進行了分析,從而提出了合理的支護方案,為隧道支護設計提供了參考依據,完善了隧道全長粘結式砂漿錨桿支護的理論與方法。Alternatively, we investigate the relationships between the space of bounded operators and its regular operator subspace with respect to the operator norm topology, thereby answering partially the question of how big the regular operator subspace is and discussing the existence of strongly non - regular operators between some classical banach lattices
這里把這一問題轉化為考察有界線性運算元空間與它的正則運算元子空間在(一致)運算元拓撲之下的關系,從而部分的回答了正則運算元集合在有界線性運算元空間中有多大的問題,解決了經典banach格上強非正則運算元的存在性。Two important subspaces introduced by m. mbekhta in 1987 [ 4 ]. ( they are usually called mbekhta subspaces. ) in the following years, mbekhta subspaces have been widely used in spectral theory of bounded operators and compact operators, the single - valued extension property ( svep ) of bounded operators, and so on
Mbekhta再[ 4 ]中定義了兩個著名的子空間: (我們通常稱它們為mbekhta子空間)隨后幾年,人們將mbekhta子空間廣泛地應用於有界線性運算元、緊運算元的譜理論,有界線性運算元的單值擴張性質( svep ) ,等等。( ii ) riesz frame and satisfied method frame are the same sort respectively if they are acted by a linear bound operator with it ' s inverse existed and bound
門) r的sz框架不必是besselian框架,反之亦然wesz框架和投影法可行框架在線性有界逆存在且連續運算元作用下具有穩定性Best approaching of bounded linear operator in reproducing kernel space
再生核空間的有界線性運算元的最佳逼近The bounded linear operators on the space of rd o
空間上的有界線性運算元Bounded linear operator
有界線性運算元In particular the energy decay of the solution is obtained by the use of komornik ' s integral inequality
特別地,我們利用komornik積分不等式得到弱解的能量衰減估計,其中a _ 1 , a _ 2和n為一些hilbert空間上的有界線性運算元Let h be an infinite dimensional complex hilbert space, b ( h ] the banach algebra of all bounded linear operators on h, and s ( h ) the space of all symmetric operators on h. let l be a real linear, weakly continuous rank one preserver of s ( h )
設h是無限維復的hilbert空間, b ( h )為h上的有界線性運算元全體組成的banach代數, s ( h )為h上的對稱運算元全體The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper. the condition of existing guaranteed cost controller is analyzed and proved in which the method of linear matrix inequality ( lmi ) is used. a output feedback controller of the uncertain discrete time system described by 6 operator is designed, which guarantees the system is quadratic stabilization
採用線性矩陣不等式( lmi )處理方法研究了delta運算元描述的不確定離散系統的輸出反饋保成本控制問題,設計了輸出反饋控制器,使得閉環不確定系統不僅是魯棒穩定的,而且對所有允許的不確定性,給定二次型性能指標的閉環性能值不超過某個確定的上界。The weak boundedness for sublinear operators on weighted herz space
型空間上次線性運算元的弱有界性Sublinear operators on a class of herz spaces over locally compact vilenkin groups
空間中的次線性運算元的有界性Boundedness of sublinear operators on the herz - morrey spaces on spaces of homogeneous type
空間上的次線性運算元的有界性In capter 2, it is proved that the system possesses a global attractor and a two - side estimate for the fractal dimension of it is presented. in capter 3, several different approximate intertial manifolds of the system are constructed by applying linear galerkin method, method of projecting operator and operator eigenvalue and successive iterative method, and it is proved that arbitary trajectory of the system enters into a small neighbourhood of the global attractor after large time. capter 4 studies the asymptotic attractor of the system by constructing a solution sequence which approaches to the global attractor of the equation in long time, and the dimentional estimate of the asymptotic attractor is given
第二章證明了該系統的整體吸引子的存在性,給出了其分形維數的上下界;第三章利用線性galerkin方法、運算元投射和運算元特徵值方法及逐次迭代方法構造了幾類近似慣性流形,證明了該方程的任意解軌道在長時間后進入整體吸引子的任意小鄰域;第四章構造了一個有限維解序列即該系統的漸近吸引子,證明了它在長時間后無限趨于方程的整體吸引子,並給出了漸近吸引子的維數估計Boundedness of multilinear fractional integral commutators
多線性分數次積分運算元交換子的有界性The boundedness of multilinear fractional integral operators on weak type hardy spaces
空間上多線性分數次積分運算元的有界性分享友人