有界型拓撲學 的英文怎麼說

中文拼音 [yǒujièxíngtàpūxué]
有界型拓撲學 英文
bornological topology
  • 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...
  • 拓 : 拓動詞（把碑刻、銅器等的形狀和上面的文字、圖形印下來; 拓印） make rubbings from inscriptions pict...
  • 學 : Ⅰ動詞1 （學習） study; learn 2 （模仿） imitate; mimic Ⅱ名詞1 （學問） learning; knowledge 2 （學...
  1. Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups

    近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。
  2. On the basis of summarization of the simulating technology of sonar signal, the paper brings forward the mathematics models of radiate noises of ships and torpedo, and simulates in computer ; tests the correctness of some pivotal methods through the simulation, on the basis of which, system scheme being brought out ; a parallel processor with twelve sharcs, combining with parallel processing theory and topographic configuration, is used to realize the algorithm of noise simulation on the basis of research on optimum distribution of algorithm and method of embedment in real time ; at last, gui, realized with vc + + language, is used to set parameters and control the whole parallel system flexibly and conveniently

    本文在綜述聲納信號模擬技術的基礎上，首先提出艦船和魚雷輻射噪聲的模擬數學模型，並進行了計算機模擬實現；通過計算機模擬驗證了一些關鍵技術的正確性，並由此提出系統實時實現方案；構造了一個12個處理器的并行處理機? sharc陣列，結合併行處理理論和sharc陣列的拓撲結構研究了有關模擬演算法的最優分配及其嵌入整個聲納系統的方法，實時實現了噪聲模擬演算法。最後，使用vc + +語言編寫人機界面，靈活、方便地進行參數設置以及對整個并行處理系統進行控制。
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