查询词典 monotone nonincreasing function

It shows that all properties of fuzzy number and fuzzy-valued function which relating to distance can be obtained by this family of standard bounded monotone function.

进而，模糊数空间和模糊值函数空间上的与距离相关的所有性质都可以在一类单调函数类上得到。

Firstly,we introduce its definition,then construct two groups of operator functions by an elementary method,and extend the function f= t(t+2)log(t+2)/(t+1)~2 to linear situation,at last we discuss some results about operator monotone function under the complex order and conjugate complex order.

首先介绍了Furuta不等式的几何结构，将普通的算子序推广到更弱的算子序A~4≥(A~2B~2A~2)~2/3，讨论在此序下的函数的算子单调性，并且推广到更一般的序A~(2m)≥(A~mB~2A~m)~m/m+1，得到了一些新的研究方法与结果。

In this paper we introduce a nonlinear scalarization function. Several important properties, such as subadditiveness, strict monotone and continuity, of this nonlinear scalarization function are established.

本文引入了一种非线性标量化函数，讨论了该标量化函数的一些重要性质，如次可加性、严格单调性和连续性。

According to the structured element representation theorem of fuzzy number and fuzzy-valued function, we obtained one-to-one isometric mapping from the family of standard bounded monotone function with same monotonic formal on [-1, 1] to the fuzzy number space, and proved they are homeomorphic.

在模糊值函数的模糊结构元表述理论的基础上，利用[-1，1]上同序标准单调函数类上的距离诱导出模糊值函数空间上的距离，证明了模糊实数空间与[-1，1]上同序单调函数类同胚。

With four continuity of non-additive set function and the relation of four convergences of the measurable function sequence,four forms Lebesgue theorem about measurable closed-valued functions on monotone measure space are discussed,respectively.

在经典测度论中，Lebesgue定理刻画了实值可测函数序列几乎处处收敛和依测度收敛之间的关系。1984~1986年，王震源[9]先后提出了较弱的"自连续"、"零可加"、"伪自连续"、"伪零可加"等重要概念，讨论了模糊测度空间上单值可测函数序列各种收敛之间的关系，推广了经典测度论中著名的Lebesgue定理以及其他定理。

Aiming at the engineering application of the two-layer fuzzy integration, we established the concepts of "two-layer measurable function on domain" and "two-layer measurable function for the monotone class".

针对二重模糊积分工程实用化，建立了备域上二重可测函数、单调类上二重可测函数的概念。

The second research has also got that a function of slopes to C values is monotone decreasing function when target circles are bigger than distractors circles.

研究二针对目标圆大于干扰子圆大的条件，得到的目标搜索斜率对C值的函数也是单调递减函数，并确定了平行搜索与系列搜索的临界点〓（0.497）。

When target values are bigger than distractors values, the two experiments have found that a function of slopes to C values is monotone decreasing function, that slopes are identical under same C values, and that there is no significant difference between circles stimulus and triangles stimulus under same C values.

实验发现在目标大于干扰子条件下，目标搜索斜率对C值的函数是单调递减函数；C相等时的目标搜索斜率也相等；C相等时的圆和三角形两种刺激形状之间的目标搜索斜率无显著差异。

The ratio C is difference between target value and distractors values divided by distractors values. Three hypotheses are as follows:(1) A function of slopes to C absolute values is monotone decreasing function.(2) Slopes are equal when C values are same.(3) If C absolute value is bigger than Cp absolute value, searching for a target is parallel search, or is serial search.

为了解决上述问题，笔者引入目标值和干扰子值的差值与干扰子值的比值C，提出了以下三个假设：（1）目标搜索斜率对C值绝对值的函数是单调递减函数；（2）当C值相同时，其目标搜索斜率应相等；（3）当|C|〓|〓|时，目标搜索是平行搜索，否则为系列搜索。

We construct a kind of special matrix function, which is used to characterize the minimization property of this iterative method, and prove that the approximate solution, generated by this iterative method, minimizes this kind of matrix function over a special affine subspace, which means that the Frobenius norm of the residual sequence is strictly monotone decreasing.

通过构造一类特殊的矩阵函数来刻画该迭代方法的极小化性质，并证明了由该迭代方法计算出来的逼近解，可使得这类矩阵函数在一个仿射子空间上达到极小，而且所得到的残差序列的Frobenius范数是严格单调递减的。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。