查询词典 increase of function

As the same section is concerned, near the bottom the maximum value of frequency appear within 1mm of bubble size, towards the water face this value tend to decrease, yet the corresponding size turns to increase; in the same time, the frequency is concentrated near the bottom and deconcentrated near the water face; under the experiment condition, the maximum frequency of the total section approximately appear at 0.5mm size; mean bubble size access 0 at bottom and increase acceleratively towards water face where tend to be infinite; total number increase during developing of aeration, and become steady when reach wholly developed area; on the same section, the total number in unit time tend to increase at first and decrease then, along the water depth.

对于同一断面，靠近槽底的测点气泡个数分布最大值出现在气泡尺寸小于1mm的范围内，朝水面方向各测点气泡个数分布最大值呈减小趋势，而其对应尺寸则呈现变大趋势；在靠近槽底，个数分布表现得比较集中，而在水面附近气泡个数分布曲线表现得低而平缓；实验条件下，整个断面上的气泡个数分布的最大值大体上出现在尺寸为0.5mm的地方；气泡平均尺寸在槽底处接近于0而朝水面方向迅速增大，且越接近掺气水流的水面，增加速度越快，最终趋于无穷大；气泡总数在掺气发展区内是沿程增加的，当掺气水流发展到一定程度后气泡总数就基本保持不变了；在同一断面上，各测点单位时间内的气泡总数随高度呈现出先增加后减小的趋势。

From the point of view of structure,bamboo cell wall ratio,amount of bundle per unit area,fraction of bundle sheath,fraction of vessel increase from the root to the top of the bamboo,while fractionof parenchyma.Single bundle sheath area decreases with the increase of height.Fiber length,fiber width and vessel length increase from the root to the top andget theirs maximum value at the length of 17th node to 23rd node and thendecrease.Fiber length and width ratio slightly decreases while vessel widthincreases with the increase of height.

从构造角度来说，竹材胞壁率、单位面积维管束个数、纤维束比量、输导组织比量从基部到到梢部随着高度增加而增加，而薄壁组织比量、单个维管束纤维束面积随着高度增加而减小；纤维长度、纤维宽度、导管长度从基部到梢部随着高度的增加而增加，在第17竹节到第23竹节达到最大值，而后下降，纤维长宽比随着高度的增加而缓慢下降，导管宽度随着高度增加而一直增加。

The result shows that with the increase of stress time, relative water content on leaf is in a downward trend while Sedum spurium \\\"Coccineum\\\"、Sedum reflexum have a slight increase in the mid; MDA content in these plants changes very slowly except that in Sedum spurium \\\"Coccineum\\\" which continues to increase; the relative electric conductivity in the first 20d in four kinds of plants is on the rise and the value of sedum lineare and Sedum spurium \\\"Coccineum\\\" decreases in the last 5d of stress; the changes of SOD activity in four sedums are similar, which increase first and then decrease and then rise again.

结果表明：随着胁迫时间的延长，植物叶片相对含水量呈下降趋势，红叶景天和反曲景天中期值稍有上升；丙二醛除红叶景天持续上升外，其它三种植物变化缓慢；相对电导率四种植物在前20d都呈现上升趋势，胁迫最后5d时佛甲草与红叶景天值下降；SOD酶活性四种植物变化趋势相似，呈现先上升后下降再上升趋势。

Two is economy increase style change's unpleasant, protrude earth's surface now: Overage depend on material's output de increase, trade develop urgently awaits break through what extension increase's momentum; with developed country same profession compare with, modern manufacture service industries development's unpleasant, become our soft rib and short leg; unit's prolific energy consumption and steel products consumption's descend slowly, especially will is behind unit's prolific energy consumption's steel consume descend obviously hasten slow down in 2000; capital asset invest increase fast, producing energy expand violent.

二是经济增长方式转变不快，突出地表现在：过度依赖实物产量的增长，行业发展亟待突破外延增长的惯性；与发达国家的同行相比，现代制造服务业发展不快，成为我们的软肋和短腿；单位产出的能耗和钢材消耗下降缓慢，尤其是2000年后单位产出的能耗钢耗下降明显趋缓；固定资产投资增长过快，产能扩张过猛。

Western blot analysis with the antiserum ATP95 revealed a significant increase of protein amounts of the V-H〓-ATPase subunits B and c of S. slasa under 100 and 400 mmol/L NaCl treatment, which gave another evidence for a salt-induced coordinate up-regulation of V-H〓-ATPase subunits at transcription and translation levels. The coordinated salt-induced increase of subunit B, H and c of V-H〓-ATPase from S. salsa at transcription and translation levels indicated an increase of V-H〓-ATPase holoenzyme amounts, which might be the reason for the increase of V-H〓-ATPase activity of S. salsa under salt stress.

400 mmol／L NaCl处理盐地碱蓬植株分离其叶片液泡膜微囊进行Western-blot分析发现盐胁迫明显诱导了盐地碱蓬液泡膜H〓-ATPase B、c亚基蛋白的表达，证明盐胁迫下，盐地碱蓬液泡膜H〓-ATPase各亚基在转录、翻译水平存在协同表达。100、400mmol／L NaCl处理亦明显增加了盐地碱蓬叶片液泡膜微囊H〓-ATPase活性，表明盐胁迫下，盐地碱蓬液泡膜H〓-ATPase各亚基在转录、翻译水平的协同表达增加了H〓-ATPase全酶的数量，进而增大了H〓-ATPase的活性。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi-positive definite function and completely monotone function when the function take values in a commutitive von Neumann algebras.

我们证明了完全单调函数的几个等价条件，并且讨论了取值于交换von Neumann代数的正定函数，半正定函数及完全单调函数之间的关系。

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析，结果表明：每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得，或者在给定风险水平的条件下最大化期望投资组合收益来获得；在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数；当投资者的效用函数是拟凹函数时，则有效前沿上的效用可表达成风险或收益的拟凹函数。

The convex function develeped so many years that convex functionals are now a class of very universal functionals.The kinetic energy in the classical is the most natural convex function.Others like entropy and so on are convex functions.The economic core is closely connected with the convex function.The western economic core question is the optimized question.The optimized theory has something to do with the convex function and the concave function.

凸函数的发展经年已相当完善其应用非常广泛，在古典力学中的动能，就是最自然直接的凸函数，其他如熵……等均是，连经济学的核心都与之有极密切相关，西方经济学的核心问题是最优化问题，最优化理论又与凸函数与凹函数密切相关。

The decreasing conditions of an energy function are investigated by the use of convex function. By utilization of the primal convex function, the conditions are analyzed under which its conjugate function minus a quadratic function is also convex.

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。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。