查询词典 gradient of scalar field

In Chapter 2, we introduce a new scalar function of the vector optimization problem by virtue of the spectral function in Euclidean Jordan algebra. Correspondingly, we define the spectral scalar optimization problem and spectral scalar solution.

第二章借助欧几里德若当代数中谱函数的概念，引入了欧几里德若当代数向量优化新的标量函数——谱标量函数，并进一步定义了相应的谱标量优化问题及其谱标量解。

Also ,, and constitute the first radial scalar meson nonet, it is supposed that these states would likely correspond to the observed states ,, and ,respectively. The scalar state may be a good candidate for the ground scalar glueball.

结果表明，和组成基态标量介子九重态，它们分别对应于实验上观测到的共振态，，和；，，和组成第一径向激发标量介子九重态，它们分别对应于实验上观测到的，，和共振态；而是基态标量胶球很好的候选者。

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特点寻找，管理图标，您的系统，图像编辑等功能的影响，过滤器，旋转，剪裁，以及作为一个巨大的调色盘，易於使用的编辑器已全部职能，为创造/编辑保险公司条例，新华社，当前有GIF ， JPEG ，有WMF ，电磁场，热重分析， wbmp文件，图像过滤，包括模糊，锐化，压花，扩散，色彩平衡，图像效果，包括线性梯度，径向梯度，梯度矩形， wav ，三维阴影，三维按钮，文本梯度效应，噪音，以及任意旋转，创建图标与预设的大小，使用动态透明的颜色，创建游标与免费的热点，创建，查看动画光标，提取图标从任何文件或文件夹，粘贴图像从剪贴板中，选择地区进口。

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合，将其推广到线性等式约束最优化问题，提出了线性等式约束最优化问题的一类投影下降算法，并提出了基于这类算法的混合算法，在Wolfe线搜索下证明了这两类算法的收敛性，并通过数值试验验证了算法的有效性。

MethodsTraditional gradient force, gradient plus pressure force and gradient vector flow force were used in active contour models to segment malleus, incus, eardrum and some shared surface images. The segmentation results were compared. ResultsBoth the gradient force and the GVF force resulted in satisfactory results when the initial contours were close to the boundary.

将传统的梯度外力、梯度加压力及梯度矢量流外力应用于主动轮廓模型，分别对砧骨、锤骨、砧骨和锤骨间的共享狭窄面及鼓膜等图像进行图像分割，比较图像分割的结果，选择收敛速度快、分割结果准确的方法。

In order to enlarge the application scope of our algorithm, the expansions of eLiveSet on four ways are studied, that is, the gradient of multi-relation, the constraints on the gradient cell, the gradient in the interval and the different gradient function.

为了扩大了算法处理问题的范围，给出了eLiveSet算法在多种关系间的梯度、梯度元组约束条件、区间上的梯度、不同的梯度函数四个方面的扩展，这些扩展可以通过修改算法的相关部分来实现。

The differential exhumation caused by the NNE-trending faults probably continued all the way from the 180℃isothermal surface, through 110℃isothermal surface to the 70℃isothermal surface. At 90Ma, Dabie orogen"s average height of topography, compared with the current sea level, reached 1.45 km (when geothermal gradient is chosen as 25℃/km) or 1.75 km (when geothermal gradient is chosen as 20℃/km), which is 4(when geothermal gradient is chosen as 25℃/km) or 5(when geothermal gradient is chosen as 20℃/km) times of the height of today"s surface topography in simulated region.

这种由于NNE向断裂系引发的差异推隆剥露，可能从等温面180℃锆石(U-Th／He的封闭温度、经过110℃(磷灰石裂变径迹的退火温度)一直延续到70℃等温面磷灰石(U-Th／He的封闭温度大别造山带90Ma时与现今海平面相比地形平均高度可达1.45km(地温梯度取25℃／km时)或1.75km(地温梯度取20℃／km时)，是现今模拟区域地形平均高度的4倍(地温梯度取25℃／km时)或5倍(地温梯度取20℃／km时)。

Sympegma regelii community, a rangeland desert vegetation, has the highest Shannon-Winner species diversity indices (1.706); the communities of Haloxylon ammodendron and Ephedra przewalskii, which have obvious feature of desert vegetation, are in the middle in species diversity indices (0.875-0.890); the communities of Calligonum mongolicum, Populus euphratica, Tamarix ramosissima and Glycyrrhiza inflata, characterized by desert forest of which saline desert bushes and saline meadows are scattered in the communities, have lowest value of the species diversity indices (0.079-0.495). 3 The structure of desert plant community is dominated by the bush layer. The species diversity indices of bush layer (0.769-1.451) is much higher than that of herb layer (0.193-0.254), and the diversity in herb layer is strongly influenced by bush layer. 4 The species diversity of desert plant communities shows a gradient of change with respect to longitude, latitude and elevation. For example, rangeland plant Sympegma regelii, with a high level of diversity indices (1.706), is in transition to desert plants Haloxylon ammodendronn community (with a low level of diversity indices of 1.379) in a longitude gradient and to saline Tamarix ramosessima community (with a low level of diversity indices of 0.376) in a latitude gradient. Calligonum mongolicum community, with a low level of species diversity (0.819), is in transition to Ephedra przewalskii (with a low level of diversity indices of 0.890) and Haloxylon ammondendron community (with the diversity indices of 0.645) in an elevational gradient.

群落Shannon-Wiener物种多样性水平表现为合头草群落最高(1.706)，具有草原化荒漠植被类型的成分；梭梭群落、膜果麻黄群落居中(0.875~0.890)，荒漠植被类型特征明显；沙拐枣群落、胡杨群落、多枝柽柳群落、胀果甘草群落较低(0.079~0.495)，荒漠林、盐地沙生灌丛及盐化草甸植被均有零星分布。3荒漠植物群落结构层次中，灌木层占居主导地位，群落灌木层物种多样性水平(0.769~1.451)远远大于草本层(0.193~0.254)，且草本层物种多样性受灌木层影响较大。4荒漠植物群落物种多样性分布格局表现为经向、纬向和海拔梯度的变化，经向、纬向变化为物种多样性水平较高的草原化植物合头草群落(1.076)向物种多样性水平较低的荒漠植物梭梭群落(1.379)和盐化植物多枝柽柳群落(0.376)的过渡，海拔梯度则呈现低水平的沙拐枣群落(0.819)到高水平的膜果麻黄群落(0.890)向低水平的梭梭群落(0.645)变化。

The results indicated that,during MV drying,moisture distribution in wood was relatively uniform,without an obvious moisture content gradient along the direction of thickness of wood.Moisture distribution in wood was more uniform in the last period of drying.Above Fiber Saturation Point,the movement of moisture through wood was assumed to be permeable movement of free water and vapor under the action of pressure gradient;below FSP,moisture existing in vapor form in wood moved in response to a pressure gradient.Moisture transfer caused by heat diffusion and a moisture content gradient could be neglected.

研究结果表明：在微波真空干燥过程中，木材内部的含水率分布比较均匀，在厚度方向没有明显的整体性含水率梯度，特别是在干燥的后期，木材内部的含水率分布更加均匀；当含水率在纤维饱和点以上时，木材中的自由水和水蒸气在压力梯度的作用下以渗透流的形式在木材内部迁移；当含水率在FSP以下时，木材中的水分在压力梯度的作用下以水蒸气的形式向木材表面迁移；因热扩散、含水率梯度引起的水分迁移可以忽略不计。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。