可证明的

Gracilis were applied to investigate the effect of proplastid on adaptability, in which such structure was found to be important to the competitiveness during heterotrophic growth in the dark; 2 a new procedure for differential display technology was developed and used to study the influence of plastid on nuclear gene expression, with which it was shown that the loss of plastid could cause remarkable changes in expression of certain nuclear genes.

本文主要有两点突出之处：1）应用裸藻褪色突变株与野生型的生长竞争实验探讨了原质体对于裸藻的适应意义，发现在黑暗环境和异养生长条件下原质体对于细胞的生存竞争有重要作用；2）改进了一种差异显示技术并利用该技术来研究质体的有无对基因表达的影响，证明质体丢失可导致某些核基因表达的显著变化。

We prove in this paper that topological entropy is zero, in systems of equivariant mapping, that systems of compression mapping, and systems of the homeomorphism of unit circle onto itself, while the toppological entropy is positive, that extensible mapping in the compact toppological metric space.

证明了在一般的紧致度量空间上，等距映射的系统，压缩映射的系统，单位圆上的自同胚映射的系统等的拓扑熵都为零，而可扩映射的系统有正的拓扑熵。

This article compared the integrand of infinite integral and unbounded function integral by comparing the infinitesimal with the infinity, obtained the corresponding equivalence theorem of criterion of convergence of abnormal integral, and gave out the proof.

将无穷积分及无界函数积分的被积函数运用无穷小和无穷大比较的方法进行比较，得到了相应的反常积分敛散性极限审敛法的等价定理，并给予证明，从而可运用等价定理灵活的判断反常积分的敛散性。

After certifying the irreality of ideal filtering function, we can get a better filter selecting a proper window function. Comparing two actual filters, we designate a good"Panama hat"filtering function. Meanwhile, an effectively linear interpolating function is introduced to raise the image reconstruction quality. Describing its realizing steps on the micro-computer briefly, we reconstructed some images from the anlogue projections of some models. The number of projection views is 180, 100 same interval parallel lines per view; the size of reconstructed images is 64×64 pixels with 64 gray levels; the reconstructing speeds are 40" on PC-386 and 12"on PC-486, respectively; each pixel is 0.31mm.

在证明了理想滤波器的不可实现性之后，得知通过选择适当的窗函数可获得很好的滤波函数，经过两个实际滤波器的效果对比，我们选取了较好的"巴拿马帽"形滤波函数，同时也介绍了一个有效的提高重建质量的线性内插函数，概要地叙述了平行射束图象重建的计算机具体实现步骤后，对几个物体的模拟投影数据进行了重建：投影角为180°，每视角下有100个平行投影数据点，在386微机上重建尺寸为64×64，时间约为40秒；在486/33MHz微机上只用了12秒，图象的象点精度是0.31mm。

For a Hall π-subgroup in π-separable group and a given π-Fong character, we show that there always exists a normal subgroup, such that some irreducible constituent of this π-Fong character which restricts on the join of these two subgroups is a π-Fong character associated to this normal subgroup.

对于π-可分群的一个Hall π-子群和一个给定的π-Fong特征标，我们证明了总存在一个正规子群使得这个π-Fong特征标在这两个子群的交上的限制的某个不可约成分是联系这个正规子群的一个π-Fong特征标。

The completely diagonalized Hamiltonian matrixes of order 120 of 3d3/3d7 ions configuration in the trigonal symmetry have been established by irreducible representation method and group theory,taking into account spin-orbit interaction and spin-spin interaction.The ground-state energy levels,the zero-splitting parameter and Jahn-Teller effect of ruby crystal were calculated with the matrixes.

应用不可约张量方法和群的理论构造了三角对称晶场中考虑自旋-轨道相互作用，自旋-自旋相互作用的3d3/3d7离子的可完全对角化的120阶微扰哈密顿矩阵，利用该矩阵计算了红宝石晶体的基态能级、零场分裂参量和Jahn-Teller效应，研究了自旋-轨道的自旋二重态对基态能级的贡献，证明其二重态对基态能级的贡献是不可忽略的，理论计算值与实验值相符合。

It was for this reason that during the first three centuries the concurrent action of the bishops dispersed throughout the world proved to be effective in securing the condemnation and exclusion of certain heresies and maintaining Gospel truth in its purity; and when from the fourth century onwards it was found expedient to assemble ecumenical councils, after the example of the Apostles at Jerusalem, it was for the same reason that the doctrinal decision of these councils were held to be absolutely final and irreformable.

这是因为这个原因，在第一三个世纪的并发行动的主教们分散在全国各地世界证明可有效地确保谴责和排斥的某些异端邪说和维护福音的真理，在其纯度；时，从第四世纪开始，它被发现的权宜组装合一议会，之后的例子，使徒在耶路撒冷，这是出于同样的原因，该理论的决定，这些评议会举行了绝对的最后和

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解，这里使用常数变易法，在先求得二阶常系数线性齐次微分方程一个特解的情况下，将二阶常系数线性非齐次微分方程转化为可降阶的微分方程，从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式，并且将通解公式进行了推广，实例证明该方法是可行的。

The best tested system has been proved to be the Ag/TiO2 catalytic wall reactor with a 0.6 wt.% of Ag loading, showing a high activity both in relative (per gram of TiO2) and absolute terms, an optimal use of the radiation source, and a good stability of the film with negligible silver lixiviation, allowing the continuous treatment of water.

最佳测试的系统已被证明为银/TiO2 墙催化反应器用的银加载和显示一个高活性每克 TiO2）的相对和绝对的条款，在辐射源的一个最佳利用及良好的稳定性与可忽略不计的银 lixiviation，这部电影的允许连续处理水的 0.6 wt。%。

We reported increases in locomotor activity with administration of ketamine in 22-, 35-, and 50-day-old mice and showed that the effects of ketamine diminish with age.

结果表明：使用氯胺酮可增加22、35和50日龄小鼠的运动器官的敏捷性，并证明了氯胺酮的作用随年龄的增长而降低；使用氯胺酮所导致的旋转与年龄的变化有关，但站立的减少与年龄无关，这种减少不依赖于小鼠的年龄

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。