查询词典 one dimensional

Next, we discuss the relations between left quasi-dual bimodules and left dual-bimodules, we obtain that a left quasi-dual bimodule is a left dual bimodule if it satisfies one of the following conditions: sM is minimal injective and MR is a M-minimal injective kasch-module; MR is a M-minimal injective kasch-module and for any two ideals LI and L2 ofSS rM(L1 n L2)-rw(L1)+rM(I2); sM is minimal injective and for any two submodules A and B of MR,Lastly, we applicate the quasi-duality on smash product algebra R#H, and obtain an answer of the semiprime problem, i.e., let H be a finite-dimensional semisimple Hopf algebra and R be an H-module algebra, if R is left quasi-dual and semiprime, then R#H is semiprime.

我们得到：一个左拟对偶双边模如果满足下列条件之一，则它将成为一个左对偶双边模：_sM是单内射的并且M_R是一个M-单内射kasch-模；M_R是一个M-单内射kasch-模并且对_sS的任意两个理想，有r_M(L_1∩L_2)=r_M(L_1)+r_M(L_2)；_sM是单内射的且对M_R的任意两个子模，有l_s=l_s+l_s。2 在第2.3节中我们将拟对偶性应用于smash积代数R#H，部分解决了半素问题。

We prove that any irreduciblesymmetric self-dual Lie algebra 〓 whose Cartan subalgebra consists of semi-simpleelements is in one of the following classes:(1)〓 is simple;(2)〓 is 1-dimensional;(3)〓is solvable.

第五节讨论Cartan子代数由半单元构成的对称自对偶李代数的结构，证明了不可约对称自对偶李代数g如果它的Cartan子代数由半单元构成，那么它只能是下列情形之一：（1）g为单李代数；（2）g是1维的；（3）g是可解的。

One of three axes in a three-dimensional Cartesian coordinate system.

改变一个坐标系统的轴的方向或位置的函数。

One of three axes in a three-dimensional Cartesian coordinate system .

指结晶系统，以成直角的三个相等的轴为特点。

Round-the-world amount is huge endowment made home is completely three-dimensional digital movie master piece " demon is compared this annulus ", and by cartoon of meridian day animation, sun, Tang Ren the company such as animation makes " small muddleheaded god "," small tiger return to native place "," my home "," foolish 8 chelonian, star dream " wait for work of much ministry bear the palm, already let Shenzhen show hill dew in this one domain.

环球数码巨资制作的国内全三维数码电影力作《魔比斯环》，以及由日中天动画、太阳卡通、唐人动画等公司制作的《小糊涂神》、《小虎还乡》、《我的家园》、《憨八龟—明星梦》等多部获奖作品，已让深圳在这一领域显山露水。

So before applying Mather's theorem of connecting orbits to concrete Hamiltonian system, we have to check whether the set W〓 is empty or not, and which cohomology classes are C-equivalent. In present paper, by investigating the topological structure of action minimizing sets near a co-dimensional one torus which is preserved under generic perturbations and becomes hyperbolic in nearly integrable Hamiltonian system.

与传统的Poincaré-Melnikov方法相比，我们方法明显优越之处在于，一方面我们的方法不仅可以得到双曲环面之间的异宿轨道，而且当该环面附近的其它环面破裂时，可以得到不同Mather集之间的连接轨道，另一方面，我们把异宿轨的存在性的证明转化为双曲环面极小同宿轨的某种弱孤立性的证明，所需条件比Poincaré-Melnikov方法弱得多。

We also give one kind of multi-dimensional comparison theorem of Y.

我们先运用与EL.Karoui在[1]中使用的类似的方法得到了单边界情形K的多维比较定理。

An improved algorithm of two dimensional convex hull based on included angle is proposed, and all the convex points are achieved through the maximal included angle by the increasing counter-clockwise direction. When more than one point satisfies the maximal included angle, the most distant point to the previous point is regarded as the next convex point.

提出了基于夹角的平面点集凸包改进算法，以最大夹角，按顺时针的方向可得到所有的凸点，当满足最大夹角的点不唯一时，以离当前凸点最远的点为凸点。

Two dimensional convex hull is one of the typical problems in computational geometry and widely applied in GIS.

二维凸包问题是计算几何领域的经典问题之一，在地理信息系统中有广泛的应用。

This article used the truncation mark law to discuss the common quadratic surface on the coordinate plane projection, based on this gave by the surface encircles three-dimensional asks the law on the coordinate plane projection one kind, this kind asked method the superiority lay in does not draw the range of integration graph also to be able to determine it on the coordinate plane projection.

本文利用截痕法讨论了常见二次曲面的在坐标面上的投影，在此基础上给出由曲面所围立体在坐标面上的投影的一种求法，这种求法的优越性在于不画出积分区域图形也能确定它在坐标面上的投影。最后以实例说明这种求投影的方法在计算三重积分中的应用。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。