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Consequently, we get an estimate formula of the number n_1, bounded above by a polynomial of degree 24 in the parameters of F.

从而给出n_1的一个以F的参数的24次方为上界的估计式。

Then we get an estimate formula of the number i\;bounded above by a polynomial of degree 9 in the parameters of F. As pointed by D.

从而给出n_1的一个以F的参数的9次方为上界的估计式。D。

When A is a non-trivial,cohomologically finite dimensional regular DG al-gebra,His not bounded above.

当A是非平凡的，同调局部有限维的正则DG代数时，A的同调没有上界。

This research method is independent of Green"s function and variational structure. So it can tackle with the BVP for non self-adjoint and self-adjoint difference equations and overcome the difficulties brought about by the establishment of Green"s function, a study of the sign and the estimate of below and above bounded for Greens function.

本章的研究方法既不依赖于Green函数又不依赖于变分结构，因而能解决非自共轭的差分方程边值问题，且克服了Green函数的建立、其符号的判断及其上下界的估计给研究带来的困难，该方法同样适用于研究自共轭的差分方程边值问题。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the βperturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the fi-perturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

At first we establish two lemmas for C〓-functionals defined on finite dimensional spaces. These lemmas describe the behavior near infinity of a functional that is bounded from either above or below.

我们首先对有限维空间上的C〓-泛函建立两个引理，它们实际上完全描述了有上界或有下界的泛函在无穷远处的行为。

Prove that if this quantity is bounded above by that value of the Veronese surface then x is either a totally umbilical sphere or a conformal Veronese surface.

最后我们模仿3维的情况，引进一个保角不变量，并证明此保角不变量的上界若为Veronese曲面之值，则x不是全脐球面就是Veronese曲面的保角类。

EUR/USD continued to be bounded in established range above 1.2706 last week as consolidation continued. While some more sideway trading might be seen, upside is expected to be limited by 1.3093. On the other hand, below 1.2706 will suggest that whole decline from 1.4719 is resuming for a retest of 1.2329 low next. However, note that a break above 1.3329 resistance will indicate that fall from 1.4719 has completed and bring strong rebound.

EUR/USD 继续着上周建立的1.2706底部之上的反弹，会有更多的震荡交易，上涨的限度预期在1.3093，与此相反，低于1.2706将预示着从1.4719点开始的整个下降趋势将重新再试1.2329的新低，然而，请注意，一但突破1.3329，预计从1.4719开始的下降已经完成，并将带来强劲的反弹

We then introduce a conformal invariant quantity which is formulated in terms of the square of the length of the trace free part of the second fundamental form and the mean curvature, and prove that if this quantity is bounded above by that value of the Clifford torus then x is either a totally umbilical sphereor a conformal Clifford torus.

接著我们介绍一个由第二基本型式迹为零部份的张量长度平方与平均曲率形成的保角不变量，并证明此保角不变量的上界若为Clifford环面之值，则x不是全脐球面就是Clifford环面的保角类。

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。