不可分解的

This paper focuses on the construction of true bidimensional wavelets by lifting scheme and the relevant image coding. We research the nonseparable bidimensional interpolator designed by different standards, carry out the true bidimensional wavelet decomposition and improve the SPIHT coding in order to adapt to the characteristic of true bidimensional wavelet decomposition. It is proved by experiments that the subjective and objective quality of binary tree SPIHT on true bidimensional wavelet decomposition is better than famous 9/7 wavelet under the condition of low bits compression.

本文以基于提升格式的纯二维小波滤波器组的构造为中心，研究了不同类型的二维不可分离内插滤波器，实现了图像的纯二维小波分解，并改进了SPIHT编码算法，使其适合纯二维小波的分解特点，实验证明在低比特压缩下，纯二维小波分解的二叉树SPIHT在主观和客观质量上要好于著名的9/7小波。

Unfortunately, the characteristic equation is normally unfactored and of high order.

遗憾的是，特征方程通常是高阶不可分解的。

Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.

首先，讨论了含幺半群中基的基本性质及基与最小生成元集的联系，并给出了含幺半群中基、生成元集、不可约生成元集三者之间的关系；证明了在有唯一长度的半群S中，不可约生成元集、基、最小生成元集三者之间的等价关系；其次，讨论了字的组合与分解性，得出了字的本原性与不可分解性之间的关系---若为不可分解的，则一定是本原的，反之，不一定真；并运用图示法证明了字的可补性理论，讨论了方程，的可解性；在此基础上，用归纳法进一步证明了本原字与码的有关命题--若是X上的一个本原字，其中，则是一个码；若则当且仅当{}是一个码。

Why are not all organic being blend together in an inextricable chaos?

为什么一切生物不是混合成为不可分解的紊乱状态呢？

And then the definition of simply complete Lie colour algebra and L self-homomorphism are given .A Lie colour algebra is simply complete if and only if it can not be decomposed .

然后给出了单完备李color代数的定义，并给出了一个李color代数是单完备的充要条件，即是不可分解的，同时引入了L的L自同态的定义。

In order to determine the solution set of the equation , by the means of meet-irreducible element and irredundant finite meet-decomposition, we first obtain the maximal solutions to the simple equation in the case that b has an irredundant finite meet-decomposition, and then consider the relation between the equation and the equation , based on this, we obtain the maximal solutions to the equation in the case that each element of the matrix B has an irredundant finite meet-decomposition and so determine its solution set completely.

为了确定方程的解集，本文利用交既约元与不可缩短的有限交分解等工具，同样地先求出简单形式的型矩阵方程的所有极大解，然后讨论方程与方程之间的关系，在此基础上，在B的每个元素均有不可缩短的有限交分解的情况下，求出了方程的所有极大解，从而完全确定了方程的解集。

A feeling is a simple and undecomposable mental state- G.S.

感觉是一种简单而又不可分解的精神状态-g.s。

not only laser printer's selenium drums make higher relative print cost, but also used ones are irresoluble high technology waste.

激光打印机硒鼓不仅相对打印成本过高，同时使用过的旧硒鼓还是永远不可分解的高科技垃圾。

These ferments are made of the roofs, leaves and stems of 58 handpicked kinds of plant and vegetables through exclusive the biochemical technology, with the high-reactivity, high-stability and high-safety; The second is the fruit compound ferments(the approval No.J11000510836) with the abundant vitamin, minerals, favorable viable groups, multi-amino acid groups, oligosaccha groups and glucose , is made from handpicked 103 kinds of fruits and 20 kinds of Chinese herbal medicines through microbial treatment and fermentation method; The third is grain and bean high-fiber nutritious ferments (the approval No.J11000600369) with abundant proteases, amyloclast enzyme and lipolytic enzyme, is made from 60 kinds of grains and beans through special biologic technology, and is used to lose weight, expel toxin, clear the bowels, supply nutrition and activate cells in human body.

公司精选台湾58种植物、蔬菜的根、茎、叶天然原料，以独特的生化科技手段研制而成，不仅具有高活性、稳定性和安全性的特点，而且具有耐高温、耐强酸的特点，不含任何添加剂，其活性是当今世界任何厂家生产的酵素都不可比拟的。第二宝是水果复合酵素（检验审核号是J11000510836）。公司精选台湾103种水果，通过微生物科技处理，经半年多时间发酵酿制而成，含有丰富的维生素、矿物质、有益活菌群、氨基酸、果寡糖、葡萄糖等。第三宝是谷豆高纤营养酵素（检验审核号是J11000600369）。公司精选60种谷、豆及种子，用生物科技手段，经过特殊研制而成，含有丰富的蛋白质分解酵素、淀粉分解酵素及脂肪分解酵素。

And the new concept is used to explain the phenomenon of nondiagonalizable lossy multiconductor transmission lines.

这个新概念还被应用于解释不可分解的有损多导体传输线。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失