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By singular value decomposition method, we obtain inversion formula of the generalized Radon transform with weight function, and study the support and range condition of it.

用奇异值分解的方法对带权的广义Radon变换的反演作了讨论，得到了反演公式并对其支集定理和值域条件进行了研究。

Based on the 3-D acoustic equation and Tarantola′s generalized inversion theorem, taking into consideration the character of cross-well survey, a 2.5-D cross-well waveform tomography method in the frequency domain is presented here.

从频率域3-D声波波动方程出发，结合井间观测方式的特点，基于Tarantola广义反演理论，提出了一种频率域2.5-D井间波形层析成像方法。

At the same time the generalized inversion method enhanced the stability and the accuracy.

同时 ，广义逆方法提高了反演计算的稳定性和精度。

Furthermore , we discuss theperturbation of the generalized Drazin invertible operator.

其次，我们讨论了广义Drazin可逆算子的扰动问题。

It is not only a method to judge generalized isochronous center, but also a good way to find necessary conditions for linearizable systems for any rational resonance ratio.

同时在等时中心条件的充分性证明中也运用了一些自己的方法(这一结果也见本人已发表或录用论文的第4篇)。

Euclidean space ; Synclastic simplexes ; Isometric embedding ; Generalized metric addition ; Geometry inequality

欧氏空间；同向单形；等距嵌入；广义度量加；几何不等式

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 graph combinations used in advertisement were generalized and elaborated,including variant graph combination,substituting graph combination,and isomorphic graph combination.

广告设计的主要任务在于有效地传递商品和服务信息，树立良好的品牌和企业形象，刺激消费者的购买欲望，并从精神上获得美的享受，最后达到促进销售的目的。

Based on the generalized Fisher linear discriminant criterion, this problem is solved by combining projection transform, isomorphic mapping and compressed transform.

该文基于广义的Fisher线性判别准则，将投影变换、同构变换和压缩变换相结合，解决了这个问题，完善了小样本情况下线性鉴别分析理论。

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。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。