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The decimal form of an irrational number is a non-repeating and non-terminating decimal number.

一个无理数写成小数形式是无限不循环的。

Three counter-examples of topological space are proposed in this study: There are two metric spaces, X and Y, in which and are isometric, whileand are not isometric; Non-metric tight regular space is a counter-example of the separation of topological space; No non-zero continuous linear functionals of the linear topological space is a counter-example of linear topological space.

这里给出三个反例，存在两个度量空间X与Y，使X^2与Y^2等距而X与Y并不等距是拓扑空间中的反例；存在不可度量化的紧的完全正规空间是拓扑空间分离性的反例；不存在非零连续线性泛函的线性拓扑空间是线性拓扑空间的反例。

We showed that if G is a non-perfect 11-decomposable finite group, then G is isomorphic to an Abel group of order 121, or a non-Abel group of order pq, here p, q are primes which satisfy p-1-=10q or p=11, q=,r is a prime, too.

在本章中主要证明了，11-可分解的有限可解群，必同构于121阶Abel群：或同构于pq阶非Abel群，其中p，q均为素数，且满足p-1=10q或p=11，q=？

To sum up, a non-interior-point smoothing algorithm for solving the complementarity problem is proposed in this dissertation, which outperforms many existing non-interior-point smoothing algorithms in the sense that only one system of linear equations is solved and one linear search needs to be made for the solution at an iteration step.

特别是，本文提出的非内点光滑型牛顿算法在求解上述问题的过程中，在每一个迭代点处只需要解一个线性方程组和做一次线性搜索，比已有文献中的算法具有更大的优越性。

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其主要产品有碳膜电阻、金属膜电阻、金属氧化膜电阻、绕线不燃性涂装电阻、绕线水泥电阻、熔断电阻、金属片无感水泥电阻、晶片电阻、排列电阻、瓷管电阻、跳线电阻等，产品畅销世界各地。

The exchange of messages primarily through non-linguistic means, including: kinesics, facial expressions and eye contact, tactile communication, space and territory, environment, paralanguage (vocal but non-linguistic cues), and the use of silence and time."

"信息的交换主要是通过非语言的手段，包括：身势，表情和眼神，触摸，空间和领域，环境，副语言，以及沉默和时间的应用。"

Further, 1 case with COM had a non-healing perforation and 1 case with cholesteatoma had the complication of labyrinthitis. CONCLUSION: The overall outcome of non-cholesteatoma cases showed efficient improvement of hearing by skillfully performed ossiculoplasty. Of the cholesteatoma cases, hearing was reconstructed after removing ossicles for disease eradication.

藉由施行听小骨成形手术，来重建中耳腔疾病所导致的传导性听障，在临床的预后方面，对於非胆脂瘤的患者在熟练的手术技巧下，可以增进病患的听力；而胆脂瘤患者在根除肿瘤外，可以在听小骨拆除后来重建听力。

Who are these "non-Buddhist"(non- Lamaist ) enemies spoken of in the Kalachakra Teach in gs?

谁是那些在《时轮大法典籍》中提到的非喇嘛教徒敌人？

This thesis mainly discuss following issues, Theory and simple expressions for array covariance matrixes are derived when angular spread functions are symmetric distribution functions, i. e. the Uniform distribution, the Gauss distribution, the Laplace distribution and the Von Mises distribution, and a non-symmetric distribution function, i. e. the Gamma distribution. And the relation between the effective signal subspace and the array number, or and the nominal angle of the distributed source, the angular spread, the distributed functions, and the Signal-to-Noise Ratio is gained. The dimension of the effective signal subspace increases with increment of the array number. And it is more obvious to the non-symmetric distribution. The dimension of the effective signal subspace decreases with increment of the nominal angle. And the distributed source is equal to a point source as θ=π/2. The dimension of the effective signal subspace increases with increment of the angular spread.

本论文针对阵列信号处理中广泛存在的分布源现象，主要讨论了以下问题：推导了角度分布函数分别为对称的均匀分布、高斯分布、拉普拉斯分布、Von Mises分布和非对称的伽马分布时，分布源阵列接收信号协方差阵的严格模型和简化模型，得到了单个分布源的有效信号子空间随阵元数、分布源中心角、分布角、角度分布函数和信噪比的变化规律：随着阵元数的增加，对所有角度分布函数的有效信号子空间维数也随着增加，且非对称分布函数的有效信号子空间充满整个空间的可能性更大；随着分布源中心角逐步增加，有效信号子空间维数逐步减小，当θ=π/2时，等价于点源情形；随着分布源分布角逐渐加大，有效信号子空间维数也随之增加，直到有效信号子空间充满整个空间；随着信噪比的增加，有效信号子空间维数有一定程度的减少。

Aiming at the high complexity of non-linear combined quantization caused by constellation biased distribution in lattice reduction aided multiple input multiple output detection, a sorted feedback non-linear quantization scheme is proposed.

针对格缩减辅助多入多出检测中，采用格缩减技术后导致星座畸变、引起变换域信号非线性联合量化复杂度高的问题，提出了一种排序反馈的非线性量化算法。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！