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We give some examples of BiFrobenius algebras based on the extensions of algebras and coalgebras . Let H be a bialgebra of finite dimension . Then T= H⊕H* has an algebra structure and a coalgebra structure also . We discuss the properties of T , and get the necessary and sufficient condition for T to be a BiFrobenius algebra .

然后根据代数余代数的平凡扩张给出一类BiFrobenius代数的例子，设H是有限维双代数， T= H⊕H*既有代数结构也有余代数结构，研究T的性质，给出了T成为BiFrobenius代数的充要条件，即定理3.9。

To solve the third problem, the definition of T-revision function and RT-computation model are proposed, and it is proved that with the increase of revision time, T-revision function converges to revision function and T-revision function is computable.

作为对第3个问题的解决，作者提出了T-修正函数的定义和RT-计算模型，证明了随修正时间的增长，T-修正函数逼近修正函数，且T-修正函数是可计算的。

The studies on the capacities of immune responses of lymphocytes in peripheral blood and immune organs of Grass Carp (Ctenpharyngoden idellus Cuvier et Valencinnes) to PHA and SPA with incorporation of 〓H-TdR and active reaction of Acid α-Naphthyl Acetate Esterase indicated that there were T and B lymphocytes in peripheral blood of grass carp, but only T lymphocyte and no B lymphocyte in the thymus of grass carp. It was justified that the T lymphocytes in peripheral blood was originated from the thymus, and B lymphocyte could be from the spleen and anterior kidney of grass carp.

运用〓H-TdR掺入法和酸性醋酸萘酯酶活性检测法分别研究了草鱼外周血以及免疫器官中的淋巴细胞对PHA和SPA的免疫应答以及化学标志特征，发现草鱼外周血中存在着类似于哺乳动物的T、B两类不同的淋巴细胞亚群；同时也发现胸腺中只有T淋巴细胞，而无B淋巴细胞，提示了胸腺中淋巴细胞可能是外周血中T细胞的来源，而B淋巴细胞可能来自脾脏或前肾。

Exogenous E2 alone has no effect on cell viability and apoptosis of H9C2 cells, but it can decrease the sensitivity of H9C2 cells to H_2O_2,hence,protect cells against apoptosis caused by oxidative stress.2Exogenous E_2 has downregulation effect on TβRⅠand TβRⅡof H9c2 cells,blocking ER may delete this effect of estradiol.H9c2 cells express ERβonly,suggests that E_2 may exert modulating effect on TGF-βpathway through ERβ.

外源性E2本身并不能影响H9c2细胞凋亡，但能够降低H9c2细胞对H_2O_2的敏感性，保护细胞抵抗氧化应激引起的凋亡。2外源性E2对H9c2细胞的TβRⅠ以及TβRⅡ具有下调作用，阻断ER可消除E2对TβRⅠ和TβRⅡ的下调作用；E2可进一步通过TGF-β通路降低受体后磷酸化smad2/3的水平；H9c2细胞仅表达ERβ，提示E2可能是通过ERβ发挥其对TGF-β通路的调控作用。

The derivative 〓 t, x (t of the V function along a solution to a determinate ordinary differential system is changed to be 〓V t, x (t for a stochastic ordinary differential system.

众所周知，用Lyapunov直接法来研究随机常微系统的稳定性与研究确定性常微系统的稳定性有许多类似之处，表现在只需要用〓Vt，x(t代替常微系统中V函数沿解的导数〓t，x

If d +d ≥n for every two strongly disjoint independent sets S and T with|S|=s and|T|=1, respectively, then G is hamiltonian.

设s，t是两个正整数，G是一个2-连通n阶图，若对任意两个强不交独立集S和T，其中|S|=s，|T|=t，有d+d≥n，则G是哈密尔顿图。

If d +d ≥n for every two strongly disjoint independent sets S and T with|S|=s and|T|=t, respectively, then G is hamiltonian.

若对任意两个强不交独立集S和T，其中|S|=s，|T|=t，有d+d≥n，则G是哈密尔顿图。

For example,the graph in Fig.3-5 is Hamiltonian（a possible path being P→Q→R→S→T→P）but is not quite Eulerian,since any path which includes every dege exactly once（e. g.P→Q→T→P→S→R→Q→S→T）must end up at a vertex different from the initial vertex.

例如，图3-5所示是一个哈密尔顿图（存在一条路P→Q→R→S→T→P）但不是一个欧拉图，这是因为图中任何包含所有边一次且仅一次的路（如P→Q→T→P→ S→R→Q→S→T）都不能回到原出发顶点。

The company invests mount a horse the project of form a complete set of cooking of defer of 1 million T hydrogenation of 800 thousand T refines and 30 thousand T is sulfureous reclaim project, quality of farther promotion product, reclaim effectively the 2 oxidation sulfur in waste gas, have major economic benefits and social benefit; to invested many yuan 6000 to build two dry gas to make hydrogenous device, make waste gas reclaims rate achieved 95%, reduced the discharge capacity of waste gas substantially, reduce; of the cost that make hydrogen to be in greatly at the same time more than heat, beyond pressure, of more than gas used a respect integratedly to carry out 22 technical reformation, make enterprise ton the banner level that oily treatment specific power consumption reached industry of domestic person of the same trade.

公司投资上马了100万t延迟焦化的配套项目80万t加氢精制和3万t硫磺回收项目，将进一步提升产品质量，有效回收废气中的二氧化硫，具有重大的经济效益和社会效益；投资6000多万元建设了两套干气制氢装置，使废气回收率达到了95%，大幅度降低了废气的排放量，同时大大降低制氢成本；在余热、余压、余气的综合利用方面实施了22项技术改造，使企业吨油加工能耗达到了国内同行业的领先水平。

Then we apply it to a C-module V, where V is a n-dimensional vector space and the operator from C×V to V is defined by a linear transformation T of V, then we get a unique factorization of V and a right basis under which the transformation matrix of T is T's Jordan canonical form.

然后把它应用到一个具体的C-模V，其中V是n维线性空间，C×V到V的映射由V中的一个线性变换T定义，从而得到V的一个唯一分解，再结合线性代数有关知识给出V的一组基，T在这组基下的变换矩阵恰为T的Jordan标准形。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了