isometric space 中文意思是什麼
isometric space
解釋
等距空間-
Isometric approximations from finite dimensional space into l
1空間的等距逼近問題 -
Parallelogram identity vector and isometric refelection vector in banach space
空間的平行法則向量和等距反射向量 -
And by far, most theories of wavelet analysis are established in, but this method is rare to be known and exists defects in the reproducing kernel space with good properties. then in the reproducing kernel space, isometric isomorphism of relation is founded between and by differential operator. and starting from the haar basis, multi - resolution analysis inis gived by folding method ; then multi - resolution analysis and orthonormal wavelet in are obtained through integral transform from to. then the reproducing kernel space can be expressed by wavelet spaces
於是，在再生核空間中，利用積分運算元建立了空間與hilbert空間的等距同構關系；並且從haar小波出發，由折疊法實現的空間中多尺度分析通過積分變換得到中多尺度分析和正交小波，使得再生核空間可以由小波空間來刻劃；從而對空間中的函數，給出了小波逼近具體表達式和相應的采樣公式，形式簡單易於數值分析。 -
This paper is to study harmonic maps into symplectic groups and local isometric immersions into space forms by means of the soliton theory. by realizing an action of the rational loop group on the spaces of corrsponding solutions, we get the backlund transformation and the darboux transformation, and thereby we give the explicit construction for harmonic maps into symplectic groups and local isometric immersions into space forms via purely algebraic algorithm
主要用孤立子理論研究到辛群的調和映射和到空間形式的局部等距浸入，通過有理loop群在其解空間上的dressing作用，給出b icklund變換和darboux變換的顯式表示，從而獲得到辛群及其對稱空間的調和映射和到空間形式的局部等距浸入的純代數構造方法。 -
Hi the aspect of symmetry analyzing to the hopfield model neural network with hebbian learning, we study on the dynamical behavior of the state space under the action of isometric transformation group g = z2 ? n, and prove the invariant property of the energy orientation ? / / " ) of the state space under the action of g. we find that the symmetry relationship of the network is sx - sw = sh when the active function of the neuron is odd, where sx is the symmetry of the patterns set x under hebbian learning rule, sh is the symmetry of the network and sw is the symmetry of the weight matrix w of the network
） s _ n為手段，研究了網路狀態空間在群g作用下各點的運動情況，證明了群g作用下的不變性。證明了當神經元的激活函數f為奇函數時， hebb法則下存儲樣本集x的對稱性s _ x 、網路對稱性s _ h以及連接矩陣對稱性s _ w三者之間滿足s _ x = s _ w = s _ h的關系；同時，我們還證明了：網路穩定態集vf同一s _ h軌道中的兩個穩定態的動力學行為（能量和吸引域大小）相同；兩個等距網路h和h 1 = g ? h ， （ ? ） g （ -
Below an isometric view of the scheme showing the timber cladding to the risers and the upgraded glazing complete with atrium entrance space
下圖方案的一個軸側圖展示了木材敷設到熱煙囪上，以及加強玻璃整合了中庭和入口 -
Phased - array radiation lobe is superposed by isometric array element with constant amplitude. using the concept of real and imaginary space, the scanning lobe is researched
通過「實虛空間」的概念，分析了掃描中的陣列波瓣，總結給出相控陣天線的方向性系數。 -
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， 。 -
The degenerate elliptic problems we shall study is very closely related to rigidity problems arising from infinitesimal isometric deformation, as well as other geometry problem, such as minimal surface in hyperbolic space. in particular, the existence of solution with high order regularity is very important to investigate geometry problems. one would like to know under what conditions the solution of such equations are as smooth as the given data
通過構造輔助邊值問題，建立了各種能量不等式，並利用這些先驗估計，以及banach - saks定理得到了h ~ 1弱解存在性；利用退化橢圓型方程弱解與強解的一致性和已知的先驗估計，還得到h ~ 1弱解的唯一性。 -
Its content may be separated into two parts. the first part contains chapter one and chapter two, which treat of the harmonic maps from surface into symplectic groups and quaternion grassmann manifolds. the second part contains chapter three and chapter four, which treat of local isometric immersions from space forms or riemannian products of space forms into space forms
全文分四章，內容可分為兩部分：第一部分包括第一、二章，主要論涉從曲面到辛群及四元grassmann流形的調和映射；第二部分包括第三、四章，主要論涉從空間形式或空間形式的局部riemann積到空間形式的局部等距浸入。 -
The rationality of cycloid gear actual operating space is verified by optimizer, finally the conclusion of the isometric plus travel distance alter shape curve much more approach corner alter shape is obtained
通過編制的優化程序驗證了擺線輪齒形工作部分范圍的合理性，得出了等距加移距修形曲線更逼近轉角修形曲線的結論。
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