查询词典 monotonically decreasing sequence

In this paper, we show a formula for the arciform area enclosed with a parabola and a straight line by means of two kinds of clever separation and the knowledges of elements mathematics such as the sum formula of infinite decreasing geometric sequence .

文章运用两种巧妙的分割和利用无穷递缩等比数列求和公式等初等数学知识，求出了抛物线与相交直线围成的弓形面积计算公式。

Paul Erds once posed the following problem about real line R: is it true that, for every infinite set X, there is a closed set E with positive lebesgue measure such that E doesn't contain any subset similar to X (I.e., there is no subset of E, which is a linear homeomorphic image of X). In 1984, K. J. Falconer proved the following: for a decreasing sequence of positive numbers {xn} such that \%lim\%xn=0 and \%lim\%(xn+1)/=1, Erds problem has a partial positive answer.

叶盛 Paul Erds曾提出如下关于实直线R的问题：是否对R的每一个无限子集X，都存在一个具有正测度的闭子集E，使得E的任何子集都不相似于X(E的任何子集都不与X线性同胚)。1984年，Falconer证明了如下结论：对于一个满足limxn=0和lim(xn+1)/=1的单调递减的正实数列{x n}，Erds问题有一个部分肯定的解答。

This may be due to hydrolytic chelating, precipitation and the sediment or hydrobioes attachment, absorption etc. The honewort had stronger ability of accumulating La because of its large leaf surface that could attach La. The accumulating ability of snail and fish to La was relatively weaker but some organs of them had higher contents of La especially in the intestines, shell of snail, and in gill, internal organs, scales, head, bone of fish, rare in muscle. The total accumulating quantities of La in each component of simulated aquatic ecosystem were a decreasing order of: sediment ＞honewort＞snail＞fish, and the sequence of bio-concentration facter was as follows: honewort＞snail＞fish.

2金鱼藻对La有较强的富集能力，主要通过枝叶表面吸附、吸收而富集；螺蛳对La也有一定的富集，并主要分布于肠、壳中，螺头中积累相对较少；草鱼对La的富集能力相对较弱，进入鱼体的La主要集中在鳃、内脏、鳞及头、骨中，肌肉中积累量较少；按质量计，稀土元素La在模拟水生态系统各部分中的积累量依次为：底泥＞金鱼藻＞螺蛳＞草鱼；各水生生物对稀土La的生物富集因子依次为：金鱼藻＞螺蛳＞草鱼。

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。

In this paper well verify that it is true for tree(a special type of bipartite graph)vertex-multiplications, and it is a extention to one of the results in paper.In the second chapter, from the point of view of non-decreasing degree sequence we give a degree-maximal non-Hamilton simple balanced bipartite graph bm,n. We give a result below.

第二章中从图的不减度序列角度给出了一类度极大的非哈密尔顿简单平衡二部图，并且证明了：任何非哈密尔顿的简单平衡二部图，它的不减度序列一定弱于此类图中的某个图b_的度序列。

According to the orthogonal experiments, the sequence for five main factors of this technology could be expressed as the following in decreasing order: PAC dosage, PAM dosage, settling time, temperature, and stirring time.

根据PAC和PAM联用正交实验结果，确定影响因素显著性排序依次为：PAC投加量＞PAM投加量＞沉淀时间＞温度＞快搅时间。

I have deliberately listed the designs in order of decreasing performance to cost ratio to demonstrate the point that this determines the sequence of implementation.

我特意列出的设计，减少的表现，以性能价格比证明这一点，决定执行的顺序。

The sphygmogram parameters of h4, h4/h1 and area under graph in diastolic phase were in the decreasing sequence in the normal group, HC group and PHC group.

而脉图指标中的降中峡幅度(h4)、降中峡幅度与主波幅度的比值(h4/h1)、舒张期对应的脉图下面积η(下标 ad在正常对照组、肝硬化组及肝癌组依次呈下降趋势。

The regression period of cotton aphid: The spatial patterns of aphid population were confirmed to exponent, linear and nugget model under large scale along with the time sequence, respectively, results suggested that the spatial patterns were aggregated, medium intensity aggregation and random distribution, respectively, and the space continuity is decreasing.

3消退期：大尺度下按时间顺序，棉蚜的变异函数模型分别为指数型、线性及块金模型，表明空间格局分别表现为聚集型、中等强度和随机分布，棉蚜种群的空间自相关性及空间连续性在后期递减。

Features of the CCM PFC controller are: built-in brown-out protection, eliminating 12 components; adjustable PFC output, eliminating 17 components; RDY pin for power-on-sequence, eliminating 15 components; 30V operating voltage capability, eliminating 10 components; and PFC soft-start, eliminating 4 components – in total decreasing bill of materials by 54 devices.

CCM PFC控制器的特点有：内置电压过低保护，省去12个组件；可调PFC输出，省去17个组件；用于上电序列的RDY针脚，省去11个组件；30V工作电压能力，省去10个组件；PFC软式启动，省去4个组件，共计可将材料清单中的器件减少54个。

His female bullfighter Lydia gradually Health love, but she was in a vegetative state after the Bulls Zhuangcheng away from her, just because Lydia's ex-boyfriend showed more affectionate than he is like love.

他对女斗牛士莉迪亚渐生爱意，却在她被公牛撞成植物人后离她而去，仅仅因为莉迪亚的前男友表现出好似比他更深情的爱。

I know of none which are not easy to answer, but what I am trying to do now is only by a series of hints to throw some light on the narrow path of legal doctrine, and upon two pitfalls which, as it seems to me, lie perilously near to it.

我不认为有什么难以回答的问题，但我现在要做的仅仅是通过一系列线索，来给法律理论的狭窄路径以及在我看来离它近得危险的两个陷阱提供一些启示。