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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。

Fri particular, the Wittmann-type strong law of larg numbers for independent random variables is generalized to the case of NA random variables. We also present the sufficient and necessary condition of the laws of logarithm, and we extend Teicher-type strong law of the large numbers for sequence of NA random variables. Some of the laws of iterated logarithm of Teicher-type, Egorov-type arid Wittmann-type for sequence of NA random variables are obtained. Then we investigate the rate3f ionvergcll( fbr series of NA randonl variables, we obtain soIne results fbr tl1e Iaws of theiterated logarithttl, the laws of logarithm and decreasing order fOr the tail sum.Risk itllttlysis tlleory is a sigIlifica11t part of insurance InatheInatics.

Wittmann(1985a)关于实独立随机变量列的结果,并给出了NA列强大数律成立的若干条件,特别建立了一般NA列对数律成立的充分必要条件,在二阶矩存在的条件下完整的解决了一般NA列对数律的问题,中文摘要2而已有的一些NA列对数律的结果可以由它推出,给出了NA列的Teiclier型强大数律,表明lbiChCI·(1979)给出的实独立随机变量列的强大数律可以减弱其条件等;建立厂不问分布NA列的Teicfl仪;Egorov,Petrov型有界重对数律,以及加权同分布NA列的有界重对数律,进一步推广了NA列的Kolmogory有界重对数律等,特别对NA列建立了Wittm洲型有界重对数律,而其证明方法与独立情形有很大不同,同时通过反例表明在与独立场合类似的条件下,独立列的Wittmann有界重对数律不能完美的推广到NA歹小惰形;最后研究了NA随机变量级数的收敛速度,给出了尾和下降的阶;尾和的有界重对数律,及尾和对数律成立的充要条件等,并通过反例说明 NA随机变量级数与独立随机变量级数在收敛速度方面存在的差异。

One of the coolest and most successful promotions I have seen was conducted by the folks who produce the Jawbone Bluetooth headset.

Jawbone蓝牙耳机的生产商所做的推广是我所见过的最成功的推广活动之一。

Furthermore, as a deduction, it obtains a strong law of large numbers for non-homogeneous Markov chain functions.

这里的结果推广了经典的独立随机变量序列的强大数定律,同时也推广了前人关于非齐次马尔可夫链函数强大数定律的结果。

The main part of my paper is to generalize one of Reinders'theorem, using the generalization of Mues lemma.

本文的重点就是利用推广的的Mues引理把Reinders的一个定理完全推广到了小函数的情形。

With the new matrix, first the inequality in reference [1] was extended to the case of positive rational number n/m, then by taking the limit, the above case was further extended to the case of positive real number.

利用该矩阵,将文献[1]中的不等式推广到正有理数n/m的情形。然后应用极限将正有理数的情形推广到正实数。

In this paper, a varieties of concepts of compactness of sets and sunsets are introduced in a complex locally convex space, which are respectively the generalizations of the known sunsets and convex sets. By establishing the relationship between restricted p-centers of a set in a complex locally convex space and restricted Chebyshev centers of the corresponding set in the quotient space with respect to ker, characterizations and uniqueness of restricted p-centers of sets in a complex locally convex space are obtained. These results are better than any other known ones when we restrict them in real normed linear spaces and real locally convex space.

本文首先在复局部凸空间中引入了几种紧性及几种太阳集的概念,它们分别是已有紧性和凸集概念的推广;然后通过建立局部凸空间中集的限制p-中心和关于ker的商空间中对应集的限制Chebyshev中心的关系,来研究局部凸空间中集的限制p-中心问题,本文即使是在实赋范空间和在实局部凸空间中所得的结果都分别是有关已知结果的深化和推广

According to the function definition and analysis and evaluation on television supervision system and selling expenses, this thesis computed lowers sum and lower range of cost.

通过对闭路电视监控系统和销售推广费用的功能定义、分析和评价,采用平均先进分值法确定了闭路电视监控系统和销售推广费用的成本降低额和成本降低幅度。

Promotion to promote optimization of the overall corporate marketing strategy, providing SMEs with e-marketing, website optimization, website promotion, targeted mass-marketing message , and WAP promotional message.

提倡整体企业营销优化策略,为中小企业提供电子营销,网站优化,网站推广,短信群发针对性营销,和WAP短信的推广

However, the toughest problem which cumber application of time-grating at the beginning of practicality is not technique barrier but no matchable numeric controlling devices or upper equipments.

但是在产品推广初期,延缓其推广使用的不是技术问题,而是缺少相匹配的上位机或数控装置。

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推荐网络例句

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克,果实色泽鲜艳,汁多味浓,甜酸适口,离核仁甜,清末时就驰名陕、甘两省,清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异:红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感,ED90值分别为47.65、71.67和29.17g/hm2;春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感,ED90值分别为96.91、114.20g/hm2;而番茄不敏感。

However, I have an idea.

不过,我有个主意。