查询词典 conjugate convex function

In this study, a commercial CAD/CAM Software is used to plan and generate the multi-axis tool path, and a table rotating/tilting type five-axis machining center is used to perform the experimental machining operation. The material of the die studied is NAK 80 die tool steel, and the geometries are modeled as concave and convex spherical surfaces. Milling parameters considered are spindle speed, feed rate, and different types of cutting tool path. The experimental results show that the surface roughness for concave spherical surface is about 0.247 μm and roundness is about 0.0283 mm and the surface roughness for convex spherical surface is about 0.250 μm and spherical roundness is about 0.0551 mm under the cutting conditions mentioned in this study.

本研究的实验方法与步骤包括利用商用CAD/CAM系统针对实验对象规划三轴/五轴同动加工路径，并经后处理程式转换，在本实验室之平台倾斜/旋转型之五轴加工机上进行实验，实验对象为NAK80模具钢材料之凹与凸球形曲面之加工，此外考虑的切削条件有主轴转速、进给速度、加工路径等，在本研究所设定之最佳切削条件下，凹球形曲面之真圆度约为0.0283 mm，粗糙度为0.247 μm，而在相同切削条件下，凸球形曲面之真圆度为0.0551 mm，粗糙度为0.250 μm。

Random circle and sphere aggregate models, convex polygon and convex polyhedral aggregate models are separately adopted in the paper to simulate the flexural fracture process of concrete specimens in view of meso-mechanics.

本文分别采用随机圆形骨料、球骨料与多边形、多面体骨料模型，通过对全级配大坝混凝土试件弯拉破坏过程的细观数值模拟，对比分析了不同骨料模型形态对计算结果的影响，探讨了用球形骨料或圆形骨料简化实际碎石骨料的有效性。

It respectively constructs quasi projection-separation facet sets of two convex polytopes while their orthogonal projection on the centerline overlap mutually. Afterward it judges the separation of two convex polytopes by confirming non-overlap in orthographic projection on the centerline or by finding out a projection-separation facet from two quasi projection-separation facet sets, otherwise a collision is judged.

该算法通过判断2个凸多面体在中心线上的正投影不相交，或者分别构造它们的准投影分离面集合，并从这2个集合中找到一个投影分离面，来判断2个凸多面体分离；否则，判断为相交。

3D seismic migration algorithms of holding circular symmetry ;2. Assuming that the point spread function is circular symmetry and considering that the image is actually complex conjugate symmetry in frequency domain, authors establish a new cost function in frequency domain.

算法假设退化系统的点扩散函数具有圆对称性，并考虑图像的频域具有复共轭对称性，在频域里建立了新的优化判据；采用共轭梯度算法搜索判据，从而在有实际物理意义的区域中收敛于最优解；对光学成像系统常见的离焦、衍射模糊问题进行了仿真；用该算法实现了其退化图像的恢复，给出并分析了结果。

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。

Parametric evaluation function can condense the complicated multi-objective and multi-constrait problem into a single-objective unconstrained problem, then solved with conjugate gradient method.The parametric evaluation function method decreases the optimization difficulty,and makes the solution away from the boundary of feasible region during the optimization process,which makes all the objectives optimized simultaneously.

参数评价函数把复杂的多目标多约束优化问题转化为单目标无约束问题，然后用共轭梯度法进行求解，不但降低了求解难度，而且使得在优化过程中其解远离可行域的边界，保证了对多目标中所有目标同时进行优化。

The function of the contact line for the conjugate tooth trace is solved by this contact trace function; and also solved the parameters of the contact trace.

根据此齿面方程求解出了共轭齿面的接触线方程；并通过实例求解出了与齿面接触区密切相关的参数解。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

When the variance was known and the conjugate prior distribution was normal,a Bayes estimation of loss-function and risk function of logarithmic normal distribution was given.

方差已知时，给出共轭先验分布为正态分布下，对数正态分布的损失函数和风险函数的Bayes估计，得到其Bayes估计为保守估计的条件

Second, we obtain the bayes estimators of the loss function and risk function based on the conjugate prior distribution for ...

其次在共轭先验分布下给出了Weibull分布参数估计的损失函数和风险函数的贝叶斯估计，并讨论了它们的保守性和合理性。

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。