運算元族 的英文怎麼說

中文拼音 [yùnsuànyuánzú]
運算元族 英文
family of operators
  • 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...
  • 族 : 名詞1 （家族） clan 2 （古代的一種酷刑） a death penalty in ancient china imposed on an offender ...
  • 運算 : [數學] operation; arithmetic; operating
  1. In this thesis we mainly study degenerate - times integrated operater families and its applications to abstract cauchy problems, and we study the mean ergodicty theorems and the convergence rates of ergodic limits and approximation for k - regularized resolvent families

    本文我們主要研究退化（ r ） -次積分預解運算元族及它對抽象cauchy問題的應用，並且研究k -正則預解運算元族的平均遍歷定理和遍歷極限的收斂率。
  2. 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 -正則預解運算元族的平均遍歷定理。給出了k -正則預解運算元族的abel遍歷性和ces ro遍歷性的定義，並證明了它們的相互關系和一些基本性質。
  3. 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 -正則預解運算元族的遍歷極限的收斂率和逼近。藉助于k -泛函和相對完備化，給出了k -正則預解運算元族在0點的遍歷性，證明了一些基本性質。我們也證明了k -正則預解運算元族的遍歷極限的收斂率和逼近的一些結果。
  4. We also give out the notion of mild degenerate a - times integrated existence family, and prove that the wellposedness of the a - times abstract cauchy problems is equivalent to mild degenerate a - times integrated existence famliy generated by operator a where a satisfies with some conditions and degenerate a - times integrated semigroups mild generated by a. at last, we conclude the generation theorem of degenerate a - times integrated semigroups. and we prove that degenerate a - times integrated semigroups mild generated by a is equivalent to generated by a

    我們也給出了mild退化-次積分存在族的概念。我們證明了， （ + 1 ） （ r ） -次抽象cauchy問題的適定性和閉線性運算元a在一定條件下， a的mild退化-次積分存在族以及a次生成退化的-次積分半群是等價的。最後，我們也給出了退化-次積分半群的生成定理。
  5. Similarly, we prove that the c - wellposedness of the a - times abstract cauchy problems is equivalent to mild degenerate a - times integrated c - existence famliy mild generated by operator a where a satisfies with some conditions and degenerate a - times integrated semigroups mild generated by a. finally, we obtain the generation theorem of degenerate a - times integrated c - semigroups. and we prove that degenerate a - times integrated c - semigroups mild generated by a is equivalent to generated by a

    我們同樣證明了（ + 1 ） （ r ） -次抽象cauchy問題的c -適定性和閉線性運算元a在一定條件下，其mild退化-次積分c存在族以及a次生成退化-次積分正則半群是等價的。我們也證明了退化-次積分正則半群的生成定理。
  6. In the third chapter, we derive a new family of deformed halley methods without the evaluation of the second frechet - derivative to approximate the roots of nondifferentiable equations in banach space. we also provided a existence - uniqueness theorem and a new system of recurrence relations

    在第三章中，構造了一族避免二階fre chet導數的修正halley迭代，用其去逼近banach空間中非線性運算元方程的解，同時給出了存在唯一性定理和一種新型的遞歸關系。
  7. Integral operators defined on a class of special analytic functions

    一類定義在特殊解析函數族上的積分運算元
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