查询词典 degenerate

Let 〓 be a finite-dimensional Z-graded Lie superalgebra.Weprove that if L has a non-degenerate trace form then s=r.Using the result,weobtain that the Killing forms of Lie superalgebras of Cartan type are degenerate.

本文得出如果有限维单Z-阶化李超代数L=〓具有非退化迹型〓，则s=r，由此可推出Cartan型李超代数的killing型是退化的。

The 4 nucleotides of DNA sequences can be further encoded with two - bit digits in which t he first bit is the base bit to encode purines and pyrimidines and the second bit is the functional group bit to encode the keto group and amino group. According to the degree of degeneracy of genetic codes and the two dimension distribution of molecular weights and isoelectricpoints of amino acids , a set of classification graph(Venn' s diagram) of amino acids can be obtained. It is suggested that the amino acids of high degenerate group are mostly small and simple, and constitute the transmembranic structure or the structural domains of protein molecules. So amino acids of high degenerate group might appear in the early evolution stage.

根据氨基酸遗传密码子的简并程度并以分子量及等电点作为氨基酸的化学特性坐标，作出其二维集合MP分类图，根据氨基酸的分类分析，可以认为：高简并度氨基酸多数是脂烃类和羟脂烃类的氨基酸，分子量比较小，分子结构比较简单，大部分为疏水性，主要组成跨膜结构或蛋白质的结构域，可能是出现较早的氨基酸；而低简并度的氨基酸，分子结构比较复杂，分子量比较大，多数是和蛋白质功能有密切联系的基团，可能是进化出现较晚的结构。

Nearly-degenerate A1 and B1(C2y) electronic states are found with distorted trigonal bipyramid and edge-capped tetrahedral geometries together with a E'(D3h) state for Ga3P2.while a distorted structure with 2B1 symmetry and a 2a2 undistorted D3h structure are found to be nearly-degenerate for Ga2P3 .we employ the complete active space multi-configuration self-consistent field followed by multi-reference singles + doubles configuration interaction computations that included up to 2.5 million configurations.

近退化A1和B1 (C2y)电子状态找到与被变形的三角bipyramid，并且边缘加盖的四面体geometries与一个E' (D3h)状态一起为Ga3P2.while一个被变形的结构与2B1对称和2a 2未变形的D3h结构被发现近退化的为Ga2P3 。we使用自洽场被多参考跟随选拔+双配置互作用的完全活跃空间多配置计算包括2.5百万种配置。

The microorganism method to solves the landscape hydrophila group entrophication has the good function,is obviously degenerate the water body COD,also can suppress the growth of the chlorophyceae plant effectively;④Chemistry method maintenance water quality may oxidize effectively, degenerate the pollutant and some organic matter in water,can effective kill the algae;⑤The clear silt can eliminate the death algae and each kind of organic and inorganic substance,thoroughly eliminate the environment which the algae grow,therefore the clear silt to algaes government is the very thorough means.

微生物法对解决景观水体的富营养化有较好的作用，对水体COD的降解作用较明显，能够有效抑制绿藻类植物的生长；④化学方法维护水质可以有效氧化、降解水中污染物和一些有机物质，能够有效的杀灭藻类；⑤清淤能够把死亡的藻类和各种有机和无机物质清除掉，彻底清除藻类生长的环境，所以清淤对藻类的治理是很彻底的办法。

The discussions declare that the least condition can be represented by three items, that is, the total number, divistion ratio and spatial distribution of character points. There are also three possible cases involved in least conditions. They are, undegenerate, degenerate and seriously degenerate ones.

对于特征点总数、特征点的分配、特征点的分布等三项内容；非退化、退化、严重退化的三种情形；最小的必要条件、充分条件等，进行了广泛深入的讨论，并给出了四个判别准则及单谷性的有关结论，从而深化了对于评定理论的认识。

The Bengtsson-Jacobson conjecture that "degenerate phase boundaries are always null" is studied by the mapping language in Chapter 4. By distinguishing a "phase boundary" from its image in the "covariant approach", the nulless of the image is proved. Time-like and null hypersurfaces in the degenerate space-times in the Ashtekar theory are denned, and then the phase boundary obtained by the "covariant approach" is shown to be always null.

我们在第四章用映射的语言分析了Bengtsson和Jacobson关于&相边界为类光&的猜想；通过区分&协变方法&中的&相边界&和它的像，我们证明了像的类光性；在定义了Ashtekar退化时空中的类时和类光超曲面之后，我们证明了&协变方法&得到的相边界必定是类光的。

In the third chapter,we prove two general symmetric identities involving the generalized degenerate Bernoulli polynomials and sums of generalized falling factorials by applying their generating functions,these results extend some known identities,and give an relationship of the generalized degenerate Bernoulli polynomials.

第三章，利用广义退化的Bernoulli多项式以及广义阶乘求和的生成函数，证明了两个对称恒等式，推广了一些已知的结论，并得到广义退化的Bernoulli多项式的一个闭形式。

With degenerate approximations to the oneway LippmannSchwinger integral equation, we study a category of wideangle degenerate migrators that permit the implementation of seismic migration using fast Fourier transforms alone.

通过对LippmannSchwinger单程波动积分方程的退化核逼近，本文研究了一类宽角退化算子的偏移成像。

Some nonexistence results for p-degenerate sub-elliptic first order evolution inequalities associated with the generalized Baouendi-Grushin vector fields are given. The method is an improvement of the admissible function method in Euclidean space. The proof hardly depends on the properties of the generalized Baouendi-Grushin vector fields.

通过改进欧氏的容许函数法，应用广义Baouendi-Grushin向量场的一些性质，选取特殊的容许函数，利用Hlder不等式和Young不等式，证明了由广义Baouendi-Grushin向量场构成的p-退化次椭圆一阶发展不等方程，在适当条件下非平凡弱解的不存在性。

The secondary nuclei can fertilize normally and form nuclear type endosperm while some constitute cellular endosperm, All of them degenerate 12 days after pollination,with the result of the ovules being aborted earlier while the arillus still occur and develop into seedless fruit finally.

次生核虽正常受精，并产生核型胚乳，有的还能发育到细胞型胚，到 12d左右也完全退化。结果导致胚珠极早败育，但假种皮仍能发生发育，最终形成无核果实

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。