查询词典 monotonic function

The main factors affecting the soil-structure interface behaviors were found experimentally and theoretically, including: 1 the thickness of the interface that is five to six times the average grain size of the soil; 2 the aeolotropy of interface, which is responsible for anisotropic response of the stress-strain response of the interface; 3 two physical states, including crashing and compression of the soil near the structure surface, which govern the stress-strain response of the interface strongly; 4 two shear deformation components due to sliding and constraint of the structure surface relative to the soil respectively, which forms the deformation of the interface; 5 the volumetric strain due to dilatancy, which is found to be composed of a reversible dilatancy component and an irreversible dilatancy component. 4. A unified constitutive model of the interface, based on new elasto-plasticity damage theory, was developed. It was confirmed to be effective for the conditions considering monotonic and cyclic shearing, coupling effect of shear and volumetric strains, evolution of physical state, micro-structure aeolotropy of the soil and the resulting aeolotropy of the interface as well as the three normal boundary conditions stated above. 5. 2D and 3D finite element formulations of the present model were derived and incorporated into the FEM codes. They were applied to the evaluation of practical engineering problems with different typical interfaces between soil and structure. The new model was shown to be reasonable and effective.

确定了粗粒土与结构接触面厚度约为5～6倍的平均粒径，首次揭示了接触面的细观结构异向性以及由此所引起的宏观剪切异向性，发现了在单调和往返剪切荷载作用下土颗粒破碎和剪切压密两种物态变化机制共同支配着接触面力学性质的变化，通过细观分析证实了接触面的变形可分解为一般同时发生的土与结构交界面上的滑移变形以及结构面位移约束范围之内土体本身的剪切变形两部分，观测到接触面受剪时表现出明显的相对法向位移，并可分解为可逆性和不可逆性两个分量；(4)建立了第一个能够统一地描述单调与往返剪切特性、剪应变与体应变耦合特性、细观结构和宏观剪切异向性以及土颗粒破碎等物态变化特性的土与结构接触面弹塑性损伤本构数学模型，并采用多种法向边界条件复杂加载路径的试验成果验证了新模型的合理性和有效性；(5)提出了新模型的二、三维有限元格式并结合实际边值问题进行了应用计算分析，比较了不同接触面本构模型对计算结果的影响，证实了新模型及其有限元格式不仅能够合理地描述土与结构接触面的主要力学特性，还能够较好地反映土体与结构物在接触面处的滑移、脱开等不连续现象。

The monotonic relation between transformation time and angular difference was found and interacted with the integrity of the stimuli. As reference lines in a picture specified relative spatial relation among the picture's components which have clear space relation, participants did not rely on the ability of mental rotation to achieve this task.

发现图形整合性会影响心像旋转中反应时间与角度差异的线性关系；图形整合性高时图形中部件相对空间位置明确，受试者可不依赖心像旋转能力来完成心像旋转作业。

The monotonic relation between transformation time and angular difference was found to be influenced by the integrity of the stimuli. As reference lines in a picture specified relative spatial relation among the picture's components, when the space relation among a picture's components was clear, participants did not rely on the ability of mental rotation to achieve this task.

发现图形整合性会影响心像旋转中反应时间与角度差异的线性关系；图形整合性高时图形中部件相对空间位置明确，受试者可不依赖心像旋转能力来完成心像旋转作业。

Rule II Every bounded monotonic sequence has limit.

准则 II 单调有界数列必有极限。

Based on the view that the theorem of closed mested interval is an axiom,this paper deduces the essential limit of monotonic bounded sequence of number and the Dedekind theorem,and proves the general theorem of bull closed nested interval of real number .

以通常所说的闭区间套定理作为公理推出单调有界数列存在极限和Dedekind定理，并且证明了通常所说的实数满闭区间套定理

In the bounding surface masonry model, the sliding yield surface is considered as isotropic hardening and rotating hardening bounding surface, and the masonry model is expanded from monotonic loading to complex loading.

把滑移屈服面看作为等向硬化和旋转硬化的边界面，从而合理地把砌块体模型从单调荷载推广到复杂荷载情况。。。

We can thus choose any monotonic warp of the depth metric and still obtain an upper bound on the visibility using Chebyshev's Inequality as with standard VSMs.

我们可以选择一个单调的深度扭曲矩阵，但还是能够得到运用切尔雪夫不等式得到可见度的最高限。

In order to overcome bad learning transients in ILC, the convergence condition in frequency domain is derived, and then the implementation method for monotonic decreasing learning transients is described with zero-phase filtering.

为了消除学习算法应用时出现的坏学习瞬态，这里先推导出所提控制算法在频域下的收敛条件，再给出基于零相位滤波的单调递减学习瞬态。

It also provided the conditions for the existence of large cores of symmetric games. It proved the equivalence relation of convex games and monotonic symmetric games.

本章还给出了对称对策的广义核心存在的条件，证明了凸对策与单调对称对策的等价关系。

In other words, localization can be performed based on a general scene. In this thesis, we adopt Spatial Gaussian Mixture Model in image segmentation to describe an image viewed by the robot in spatial domain without any artificial landmark. Secondly, we use a modified combination algorithm by Cyr and Kimia to combine similar data. It is found out that a monotonic relationship exists among the scene registered and its neighborhood in terms of distance. This phenomenon can be used to assist to localize the robot and this work demonstrate the feasibility by several experiments.

本论文中采用高斯混合模型(Gaussian Mixture Model， GMM)来描述空间中的场景，将场景概念化，这样任意的场景皆可以用高斯混合模型来表达，而无需加入大量的人工场景，接著将所获取的每个希望校正点的资料采用由修改后的Cyr and Kimia的结合演算法来减低及统合资料，当场景接近原本的当初建立的场景，经由最大可能性大体上会呈现单调的特色，将辅助机器人修正回原本的位置，以达到协助机器人定位的目标。

The small blue capacitor has very high chances to go fully shorted compare to electrolytic capacitor which is very rare.

小蓝电容器具有很高的机会去充分地缩短了比较电解电容器，这是非常罕见的。

In the Italian campaigns of 1513 and 1515, when the Swiss won the victories of Novara and Marignan, he acted as army chaplain.

在意大利的运动， 1513年和1515年，当瑞士赢得了胜利，诺瓦拉和marignan ，他担任军队的牧师。