查询词典 isometry

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

By these results, we construct an isometry of quantum codes which is not an equivalent mapping but preserves the symplectic inner product, i.e.

在此基础上构造出一个反例，证明了在量子情形下，MacWilliams的一个重要定理不成立。

And some results on the isometries and equivalences of quantum codes are presented, one of which generalizes one of results of Bogart et al. By these results, we construct an isometry of quantum codes which is not an equivalent mapping but preserves the symplectic inner product, i.e.

研究了量子纠错码的等价性和保距同构，推广了Bogart等人的一些概念，并给出若干基本引理和定理，这些结论对进一步研究量子码的等价性和保距同构是非常有用的。

Piecewise isometry; invariant measure; complexity; admissible cod-ing; periodicity; scattering

分片等距；不变测度；复杂性；可允许编码；周期性；扩散性

If for any〓,they are conjugate to each other in D if andonly if they are conjugate to each other in G then every virtual character of D is-stable and if〓is an irreducible character of G in b with height zero,the map〓is an isometry from〓onto〓.

若对任意〓，它们在D共轭的充要条件是它们在G中共轭，则D的每一个指标是-稳定的，且若x是G落在b中的高零不可约指标，则下面映射是从〓到〓的等距映射

An algorithm for generating isometry decorative outlines based on several curve - outlined Chinese fonts is presented in this paper.

本文提出了一种基于曲线轮廓汉字的等距晕线效果的生成算法。

Every contraction can be extended to a partial isometry.

每一压缩算子能被扩张成一个部分等距算子。

By its definition, we know it has consanguineous relation with isometry, thus we can study isometry to investigate it. The emphase of the chapter is to study Isosceles orthogonal complementary, and use it to study geometrical properties of Banach space.

接着引入并研究了Isosceles正交补的有关问题，并由此研究了Banach空间的一些重要几何性质。

Secondly, for the spascial AF C* algebra-UHF algebra, I study the linear characterization of 2-local isometry on it: make use of the frame attribute, find the trace state of UHF algebra according to the one of matrix algebra and verify the 2-local isometry is linear.

充分利用UHF代数的结构特点，利用矩阵代数的迹态找到UHF代数的迹态，从而证明了2-局部等距的线性性质。

For k≥1, an isometry φ between codes over Zsubscript P(superscript k+1 and codes over Z(subscript P^2) is introduced and used to give a generalization of the Gray map φ: Z(superscript n subscript 4)→F(superscript 2n subscript 2). Furthermore, by means of this isometry, the concept of negacyclic codes is extended to codes over the ring Zsubscript P(superscript k+1. A characterization of these codes in terms of their images under φ is given. It is also shown that the generalized Gray map image of the 1-P(superscript k-cyclic code is a distance-invariant quasi-cyclic code.

文章引入了Z下标 P(上标 k+1码和Z(下标 P^2)码之间的等距同构φ(k≥1)；利用φ把Gray映射φ：Z(上标 n 下标 4)→F(上标 2n 下标 2)推广为φ：；而且利用φ，负循环码概念被推广到Z下标 P(上标 k+1码，得到了1-P(上标 k-循环码；依据等距同构φ，给出了这些码的表示；也证明了1-P(上标 k-循环码在推广的Gray映射下的像是距离不变的准循环码。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。