一致光滑,uniformly smooth
1)uniformly smooth一致光滑
1.Another means for a Banach space, (locally) uniformly convex anduniformly smooth, is to be presented.通过讨论局部凸性模与光滑模获得其新的等价形式，从而给出了刻划Ｂａｎａｃｈ空间的局部一致凸、一致凸、一致光滑的另一种方
2.Weak convergence result of the Mann iteration method to a fixed point of strict pseudo-contractive mapping in a real 2-uniformly smooth Banach space which is uniformly convex is proved.在2-一致光滑一致凸的Banach空间中,通过Mann迭代方法得到严格伪压缩映像的不动点的弱收敛结果。
3.Let X be auniformly smooth Banach space,T:X→X be a continuous strongly accretive operator and Lipschitzian strongly accretive operator,respectively;then we will discuss the Mann sequence iteration and Ishikawa sequence iteration for the fixed point of nonlinear equation Sx=f-Tx+x.设X是一致光滑Banach空间 ,T :X →X分别满足连续、强增生和Lipschitzian强增生条件 ,然后分别讨论非线性方程Sx =f-Tx+x不动点的Mann序列和Ishikawa序列迭代 。
英文短句/例句
1.Average Uniform Convexity and Average Uniform Smoothness in Locally Convex Spaces局部凸空间的平均一致凸性与平均一致光滑性
2.On Reich"s open problem in p-uniformly smooth Banach space关于p-一致光滑的Banach空间中的Reich公开问题
3.Iterative Method Approximating Zero Points of m-Accretive Operators in Uniformly Smooth Banach Spaces一致光滑Banach空间中m-增生算子零点的迭代逼近
4.An iterative process for Lipschitzian and accretive mapping in uniformly smooth spaces;一致光滑空间增生的李普希兹算子的一种迭代方法
5.Noor Iterative Approximation of Fixed Points for (?) -Hemicontrative Mappings in Uniformly Smooth Banach Spaces;一致光滑Banach空间中φ-半压缩映象不动点的Noor迭代逼近
6.Iterative Process of Nonlinear Equations Involving M-accretive Operators in Uniformly Smooth, Banach Spaces;一致光滑空间中含m-增生算子的非线性方程解的迭代程序
7.On Reich"s Open Problem on Nonself Mappings in p-Uniformly Smooth Banach Spaces关于p-一致光滑Banach空间中非自映像的Reich公开问题(英文)
8.Convergence of the Muli-step Composite Halpern Iteration Schemes in Uniformly Smooth Banach Space一致光滑Banach空间中多步复合Halpern迭代算法的收敛性
9.Uniformly Extreme Convexity and Uniformly Extreme Smoothness in Locally Convex Spaces局部凸空间的一致极凸性与一致极光滑性
10.Uniform Exponential Stability for a Class of Non-smooth Slowly Varying Unstable Linear Systems一类非光滑慢变不确定线性系统的一致指数稳定性
pleteness, thoroughness, refinement, or smoothness of execution;polish.平滑，光亮完全、彻底、精致或平滑的完成；光泽
12.This product has super dispersibility,high production rate and the objectfoamed by ithas small and uniform foamsand has smooth surface.分散性好，生产效率高，制品泡孔微细、均匀一致、表面光滑。
13.Optimality criteria for a class of generalized fractional programming under nonsmooth(F,ρ,θ)-d-univexity非光滑(F,ρ,θ)-d一致不变凸广义分式规划的最优性条件
14.Duality for a Class of Generalized Fractional Programming Under Nonsmooth Generalized(F,ρ,θ)-d-univexity非光滑(F,ρ,)θ-d一致不变凸广义分式规划的对偶性
15.After the procedure, the skin must contract to have a smooth, tight fit.手术后皮肤会收缩，变得光滑紧致。
16.He picked up some smooth stones.他捡了一些光滑的石子。
17.a hard glossy coating.一种坚硬光滑的涂层。
18.A hard, dense, dark volcanic rock composed chiefly of plagioclase, pyroxene, and olivine, and often having a glassy appearance.玄武岩一种硬的、致密的、黑色的火山岩。它主要由斜长石、辉石和橄榄石组成，外表经常很光滑
相关短句/例句
uniform smoothness一致光滑
1.The relations among these uniform convexity anduniform smoothness, very smoothness, uniform extreme smoothness and extreme smoothness are studed.讨论了这些凸性与一致光滑、非常光滑、一致极光滑、很极光滑等光滑性之间的关系。
2.This paper studies the relations among the average uniform convexity, average local uniform convexity, average weak local uniform convexity,uniform smoothness, very smoothness, uniform extreme smoothness and extreme smoothness.给出了Banach空间的平均一致凸、平均局部一致凸、平均弱局部一致凸等凸性与一致光滑、非常光滑、一致极光滑、很极光滑等光滑性之间的的关系。
3)uniform smoothness一致光滑性
1.Describe the boundedness of the operator-valued martingale transforms,and as an application the p-uniform smoothness and q-uniform convexity of Banach spaces are characterized by the boundedness of martingale transform operators.讨论了算子值鞅变换的有界性,并应用鞅变换的有界性刻画了Banach空间的几何性质一致凸及一致光滑性。
2.By using the property of supporting functionals,the paper obtain a characterization ofuniform smoothness.利用支撑泛函的性质,得到范数一致光滑性的一个特征,推广[3]的主要结果。
3.We define the TC modulus of convexity and smoothness of Banach spaces and characterize uniform convexity anduniform smoothness.定义了TC凸性模,TC光滑模,刻划了一致凸性与一致光滑性,并研究了取值于Banach空间的特殊鞅不等式与一致凸性,一致光滑性的关系。
4)p-uniform smoothnessp一致光滑
5)q-uniformly smoothq-一致光滑
6)K uniformly smoothK一致光滑
1.A new more general sufficient condition in quantitative form for a Banach space to beK uniformly smooth is given which generalizes the main result in [1].给出Banach空间成为K一致光滑空间的一个新的更一般化的定量形式的充分条件,推广了文献[1]中的主要结果。
2.Moreover,a sufficient conditon in quantitative form for a Banach space to beK uniformly smooth is obtained.对Banach空间给出了一种K一致光滑性的概念,证明了它与K一致凸性具有对偶性,同时还给出Banach空间成为K一致光滑空间的一个定量形式的充分条件。
延伸阅读
不可光滑流形不可光滑流形non - anoothaUe manifold不可光滑流形[助一翻阅浏恤比”.‘“d;肚~~-M“M.咐o印a3.e]不存在光滑结构的分片线性或拓扑流形(侧妞而ld).分片线性流形X的光滑化是分片线性同构f:M~X，其中M是光滑流形.不允许光滑化的流形称为不可光滑的(~一sITlco让叼bk)流形，作一些修改，这也适用于拓扑流形.不可光滑流形的例子.设刚七(k>l)是一个4k维的M血lor流形(见无圈流形(血以州石c侧翅而Id)，即树状流形).特别地，甲4k是可平行的，它的符号差(s妇旧姗)是8，它的边界M=刁W壮同伦等价于球面夕卜’.在刁W上，给W粘上一个锥CM得到空间尸壮，因为M是分片线性球面(见一般R如。花猜想(Poincare conj。沈切m))，CM是分片线性盘，所以P是分片线性流形.另一方面，尸是不可光滑的，因为它的符号差是8，而殆可平行的(即移动一个点后是平行的)4维流形的符号差是随着k指数增长的数几的倍数.流形M不微分同胚于球面S止一‘，那就是，M是M肠叹球面(M如orsPhe比).分片线性流形可光滑的判别准则如下.设O。是正交群，PL。是保持原点的R”的分片线性同胚的群(见分片线性拓扑(p】。艾从理祀刁jll“刃{幻州q扮)).包含映射口。~PL。诱导了纤维化BO。~BPL二，其中BG是群G的分类空间(d睽i助ngsP暇).当n~田时，产生一个纤维化P: BO~BPL，它的纤维记作M/0.分片线性流形X有带分类映射，:X~BPL线性稳定法丛u.如果X是可光滑(或光滑)的，则它有带有分类映射称x~BO和p。不=，的稳定法丛百.这个条件也是充分的，也就是说，闭分片线性流形X是可光滑的，当且仅当它的分片线性稳定法丛允许向量简化，换言之，如果映射v:X~BPL可以“升腾，到BO上(存在认叉~BO使p。下二，).两个光滑化f:M~X和g:N~X称为等价的，如果存在微分同胚h:M~N，使得h广’是分片可微地同痕于‘’(见流形上的结构(stn以t此))，光滑化的等价类的集合招(X)是在附有v:X~BPL的升腾称X~B口的纤维方式的同伦类的自然一一对应之中，换言之，当X可光滑时，ts(X)=「X，PL/O].
