函数值

From our results we know that the average error of the Lagrange interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes in the 1-fold integrated Wiener space equal weakly to the average error of their corresponding optimal approximation polynomial in the 1-fold integrated Wiener space,and as a kind of information-based operation,they have simple form and their recover functions are polynomials,in the 1-fold integrated wiener space,their average error equal weakly to the corresponding minimal information radius whose permissible information operators class is function values.

通过我们的结果可以知道，基于第一类Chebyshev多项式零点的Lagrange插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差弱等价于相应的最佳逼近多项式在1-重积分Wiener空间下的平均误差，并且作为形式简单且恢复函数为多项式的一种信息基算法，其在1-重积分Wiener空间下的平均误差弱等价于相应的以函数值计算为可允许信息算子的最小平均信息半径。

The algorithm utilizes the rotating transformation theory of vector, and derives a mathematical expression of trigonometric function which has the interval monotonicity. By comparing the values of mathematical expressions, the sizes of the angles can be judged, this avoids the troublesome calculations of angles, diminishes errors and raises efficiency.The prototype of 3D reconstruction system uses the DXF file as the data source.

文中的算法采用矢量的旋转变换理论，通过计算各分支路径与当前路径之间的三角函数值，利用变换后的三角函数表达式的区间单调性，将角度值的比较转换为三角函数表达式值的比较，从而避免了繁琐的角度值计算，减少了误差，提高了执行效率。

First, the pattern of points form which one selects trial points at which to evaluate the objective function must be sufficiently rich to ensure at least one direction of descent if is not a stationary point

首先，如果不是的不动点，算法选择估算目标函数值的尝试点的点模式必须有足够的点以保证至少一个下降的方向。

The Maratos effect occurs if, arbitrarily close to a strict local solution of the NLP, a full Newton step increases both the objective function and the constraint violation, and is therefore rejected by the falter, even though it could be a very good step toward the solution.

当迭代点充分靠近原问题的严格局部解时，完全牛顿步可能会使目标函数值和约束违反度都上升，从而不被滤子接受，影响了算法的收敛速度。

The algorithm does not computer any derivatives and some iterative points need not to be generated strictly decreasing,but we can also obtain the convergence.

该方法无需计算任何梯度信息且不要求迭代点的函数值严格减小，但仍然可以保证算法的收敛性。

The D value, comprehensive evaluation value of each variety's heat tolerance at its filling stage, can be deduced after calculating the subordinative function values of the two comprehensive indexes scores and using the contribution ratio of the comprehensive indexes to deduce the weight coefficient and then to weight sum.

计算每一品种2个综合指标得分的隶属函数值，并以综合指标的贡献率来确定2个综合指标的权重，在此基础上进行加权求和，从而得到每一品种灌浆期耐热性的综合评判值。

And each symmetric function can be written into a linear combination of homogeneous symmetric functions.

这样，就可以把一个n元对称布尔函数转化为一个n+1维向量v_f =v_f (0， v_f (1)，…， v_f，其中v_f表示重量为i的函数值， 0≤i≤n，此向量v_f称为对称函数f的向量值，极大地减少了对存储空间的需求，并且在软件应用中发挥着重要作用。

In land, fracture pressure is go up by what layer brings to bear on the case of Fu terrane pressure is numeric.

在陆地，压裂压力是由地层施加的上覆岩层压力的函数值。

Based on the approximation of numbers in Q format, fixed point is used to approximate the value of trigonometric function of the rotation matrix in the algorithm.

该算法根据Q格式数对浮点数的近似，采用定点逼近旋转矩阵中的三角函数值。

The functional value on the interface of the control volume is calculated using the QUICK scheme with upwind style.

控制容积界面上的函数值采用了具有迎风倾向的QUICK格式。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。