查询词典 strictly convex function

The convex function is a kind of function with special properties.

凸函数则是一类性质独特的函数。

The decreasing conditions of an energy function are investigated by the use of convex function.

利用凸函数的定义研究了能量函数下降的条件，根据凸函数的性质分析它的共轭函数减去二次函数之差仍为凸函数的条件。

In this paper, A new global convex filled function and several concrete forms of a two-parameters filled function are given.

针对这些填充函数进行了分析证明和数值实验，结果说明了该填充函数的有效性。

Convex function plays an important role especilly in aspect of dipicting the function graphics and of deducing the inequality.

特别是在函数图形的描绘和不等式的推导方面，凸函数起着十分重要的作用。

Measure of uniformity is essential for constructing uniform design. Based on the distance concept, one kind of new distance function-potential function is introduced and used to measure the uniformity of points distributed in a general convex polyhedron.

均匀性度量是构作均匀设计的基础，本文从距离概念出发，通过对称的方法，得到一种新的距离函数－势函数，并将势函数作为衡量任意凸多面体上布点均匀性好坏的准则。

This algorithm is proposed on the basis of the thought as follovvs: as for three dimensional Euclid space, the feasible region of any linear programming problem is a extended convex polyhedron, of which surface is consisted of some planes, and its objective function can be regarded as a parallel plane pencil with objective function value acting as parameter.

如果线性规划问题有最优解，那么过可行域的一已知顶点必至少存在这样一条棱——它以该己知顶点为一端点，可行域的另一顶点为另一端点，并使目标函数在另一端点的函数值优于己知端点的函数值，否则，该己知点就是线性规划问题的最优解。

All sets of constraint function are the linear function of design variables and the feasible region is a convex set according to this formulation.

模型中所有的约束函数都是设计变量的线性函数，可行域是一个凸域。

Because of the random of the membership function, which aggregator to be selected and the non-linearity of system, the fuzzy decision goal function is non-convex commonly.

由于隶属度函数定义的任意性、合成算子选择的不同和控制对象的非线性，模糊决策目标函数的优化一般是非凸优化问题。

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。

For linear complementarity problems , a new smooth merit function is constructed, the linearity of LCP is well preserved as the piecewise quadratic convex property of it. By using the merit function a new Lagrangian multiplier method is proposed.

对线性互补问题，首次得到一种乘子固定时具有分片二次凸性质的光滑价值函数，它在光滑条件下完好保持了原问题的线性性质，基此提出了Lagrange乘子法。

Don't listen to their haver, nothing of that sort.

别听他们胡说八道，根本就没那回事。

But bank's shares trade below their book value, suggesting that investors are skeptical.

但是，银行股票以低于账面价值的价格交易，这一点反应了投资者的怀疑。