查询词典 concave function

It can be used for solving multi-objective problems with a concave ob-iective and cost function s and a convex feasible region, The program of the algorithm is writ-ten in ANSIC language and has been successfully run on IBM P/IAT-286 and 386 machines.

系统地讨论了非线性多目标最优化算法─—广义ZW法，它是Zionts－wallenius法的改进和推广，使得ZW方法能够有效地解决具有凹目标与价值函数，以及凸可行域的非线性多目标最优化问题。

Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次，应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式；然后，在这些拟范数不等式的基础上，应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。

The research shows that gas concentration shows generally an increasing tendency along the working face airflow direction, from 0.095% to 0.18%, under the effect of gas drainage points, up-and-down changing locally; gas distribution in a transect of working face is unequal, under the effect of gas emission, ventilation and drainage, the gas concentration near coal wall is larger than that near goaf, which is a concave function distribution within a distance of 1876.5 m from the inlet of working face, after greater than 76.5m, which is a decreasing distribution from coal wall to goaf.

研究表明，该工作面瓦斯体积分数沿风流方向总体呈逐渐增加趋势，介于0.095%~0.18%之间，受瓦斯抽放点的影响，局部有起伏变化；工作面横断面瓦斯体积分数分布不均匀，受瓦斯涌出、通风和抽放的影响，靠近煤壁侧瓦斯体积分数要高于采空区侧，在距离进风口约18~76.5 m范围内为凹函数分布，大于76.5 m之后，从煤壁至采空区为单调下降函数分布。

Compacted with typical spectrometers as Ebert-Fastie spectrometer, Czerny-Turner spectrometer and Aberration corrected concave holographic grating spectrometer, we are going to do detail research especially on their working theory, structural parameters and function, such as the source of stray light, the analysis of signal to noise ratio, the placing of detector, aberration's theory, aberration's caculation and it's elimination.

结合比较典型的Ebert-Fastie型光谱仪、Czerny-Turner型光谱仪及凹面像差校正全息光栅光谱仪进行了详细分析，尤其对它们的工作原理、结构参数和性能指标进行了深入分析，如杂散光的来源、信噪比的分析及其改善方法、探测器的置放、像差理论、像差计算及其消除的办法。

Thus, we propose a new depth function to deal with such concave shape data sets using the principal of smallest hypersphere in the Gaussian kernel feature space.

本文从样本深度的角度，利用高斯核特征空间最小球原理，提出了一种广义的数据深度。

Trioxial fluxional function is applied to the analysis of the rolling process of bars/wires with special crowned/concave rolls, by which a result is obtained as the same one from flat rolling.

采用了三维流函数法凸凹形辊棒材轧制过程的解析，得到了与平辊轧制时相同的效果。

Winth the segmentation function, the stepwise decomposition algorithm can be used to compute the intersecting body volume not only of the convex polyhedrons, but also the concave polyhedrons.

像上面所讲到的多面体相交的体积计算这样一类问题，在其他行业也有类似问题的提出和反映，是值得认真研究和需要解决的问题。

Firstly, a new quasi convex-concave extension definition is introduced to study general constrained optimization problem, which is much approximate function's shape than the interval extension.

首先，对一般约束优化问题，引入一新的概念，即拟凸-凹扩张，它比区间扩张能更好地逼近函数的形状。

While the standard Airy function, used frequently in the uniform asymptotic formulas for classical orthogonal polynomials, behaves like the exponential function on one side and the trigonometric functions on the other side of an extreme zero,the q-Airy polynomial behaves like the q-Airy function on one side and the q-Theta function on the other side.

在经典正交多项式的一致渐近公式中我们通常要用到Airy函数，这个Airy函数在一个极端零点的一边表现为指数函数，另一边又表现为三角函数。同样地，q-Airy多项式在一边表现为q-Airy函数，另一边又表现为q-Theta函数。

This paper compares periodic set with almost periodic set, and properties of periodic function with that of almost periodic function through analysing the definitions of periodic function and almost perodic function, and then draws some important conclusions.

利用周期函数与概周期函数的定义，把周期函数的周期集与概周期函数的概周期集进行了比较，把周期函数与概周期函数的性质进行了比较，并得出一些重要结论。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48