凸的

These results were obtained without the assumption that Banach space is uniformly convex.

这些结果都不需要空间一致凸的假设。

Background: The crystalline lens of the human eye is a biconvex elastic body behind the pupil.

背景：水晶体是一个位於瞳孔后方双凸的透明组织。

Leaves narrowly lanceolate, 4-8 mm wide; achenes biconvex, 1-1.5 mm.

叶狭披针形，4-8毫米宽；两面凸的瘦果，1-1.5毫米 37 P 。

Seeds convex on both sides; pedicel several X shorter than bract as long as or slightly longer in V.

种子凸的两面；花梗几X短于苞倍于或者在 V。

Carpels numerous, spirally arranged on a convex receptacle; ovule 1 per carpel, erect.

心皮多数，在一个凸的花托上螺旋状排列；胚珠1 每心皮，直立。

First, under G -convexity, the alternative theorem is proved.

首先，在G-凸的条件下，证明了择一定理。

It is because that detonation and deflagration waves cannot propagate in the same direction when f is convex.

这是因为在流函数为凸的条件下，爆轰波只能是前向波而爆燃波只能是后向波，它们不能在同一方向上传播因而也就不可能出现上述转化。

In the third chapter, a modified Newton method is proposed for solving the dual problem.

最后还在理论上讨论了锥信赖域子问题非凸的情形。

The contents are the following:In chapter two, the existence and multiplicity results for the following equation of p-Laplacian type are obtained.For the elliptic quasilinear hemivariational inequality involving the p-Laplacian operator,in order to use the mountain pass theorem proving the existence result, the authors usually need to use the uniform convexity of the Sobolev space to prove the energy function satisfies the PS condition. But for the p-Laplacian type equation mentioned above, this method is no use. To overcome this difficulty, the potential function is assumed to be convex, then I prove the existence result and by using the extension of the Ricceri theorem, the multiplicity result for the problem is obtained.

在第二章我们首先考虑关于以下p-Laplacian型(p-Laplacian type)方程非平凡解及多解的存在性对于带有p-Laplacian算子的椭圆拟线性半边分不等式问题，为应用非光滑的山路引理证明解的存在性，在证明方程所对应的能量泛函满足非光滑的PS条件时，需利用Sobolev空间的一致凸性，但是对于具有更一般形式的算子的p-Laplacian型方程，不具备上述性质，在文中为克服这一困难，本人对位势泛函做了一致凸的假设，从而证明了解的存在性，并应用推广的Ricceri定理，证明了方程三个解的存在性。

Methods. This study included 30 patients (mean age 13 years) with mild idiopathic scoliosis.

本次研究包括了患有轻微原发型脊柱侧凸的30位患者（平均年龄13岁）。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。