边界值

A kind of method to determine boundary conditions of interpolating quadric spline function with halfknots as conjunction points, which is C 1 continuous but its second derivative function is piecewise constant, is obtained by means of least squares.

鉴于此，本文利用最小二乘法，获得了一种半节点二次插值样条边界条件确定方法，该方法可以保证二次插值样条在半节点处二阶导数的变化最小，这相当于保证了曲率的变化最小。

A boundary integral method is adopted to simulate the bubble motion in the fluid field on the assumption that the fluid field is inviscid, irrotational and incompressible. A corresponding three-dimensional computation program is exploited and the calculated results agree well with the experimental data.

将气泡运动阶段周围的流场假设为无黏、无旋、不可压缩的理想流体，运用边界积分法模拟流场中气泡的运动，并开发了三维计算程序，计算值与实验值吻合较好。

Leastsquare method and Lagrange's interpolation formula see their applicationsfor fitting fore-and-aft lines-whose aim is to calculate the intersection point ofequivalent inclined waterline-and differences. In order to replace theinconvenient alternate conduct of drawing and calculating, improvement hasbeen introduced into the paper which means all work can be done bycomputer. Capacity calculation cannot be done without boundary layer build-up. Fit every area curve and area moment curve is necessary because ofinterpolation.

在第二章中，给出了B样条函数的数学表达形式，推导了B样条曲线下所围面积、面积矩公式；讨论了最小二乘法和拉格朗日插值法的数学形式，并在拟合船体型线上给出首、尾轮廓线的具体实例，对比不同方法进行拟合的差异，其目的是为了求得与等体积倾斜水线的交点；而水线的确定改变了以往人工作图与计算交替进行的不足，尝试用计算机完全代替人工作图，以求有所改进；在舱容计算中，在至少包括舱室前、后壁的范围内拟合横剖面积、面积矩曲线，插值求得任一纵向位置处的剖面，以解决舱室边界条件。

Then, on the basis of Atluri's work, a modified MLPG method is employed, in which the moving least squares approximation is used as a trial function and the Heaviside function is used as a test function of the weighted residual method.

然后基于Atluri等人的工作，采用移动最小二乘近似函数构造试函数，采用Heaviside函数作为加权残值法中的权函数，采用直接插值法施加本质边界条件而不采用罚函数法和拉格朗日乘子法。

Under all of the operational conditions, there is the point at the boundary area of reactor wall and tubes, where the transfer resistance is high, whose deviation value is maximum.

在所有的操作条件下，一般位于器内壁和器内管体等构件的传递阻力高的边界层区域模拟计算值与实验值间的误差较大。

Second order differential inclusion; boundary condition; usc multivalued map; fixed point; monotone map; Yosida approximation; solution tube; upper-lower solutions; critical point; PS-condition; C-condition; Sobolev space

基础科学，数学，数学分析二阶微分包含；集值边界；上半连续集值映照；不动点；单调算子； Yosida逼近；解管道；上下解；临界点； PS-条件； C-条件； Sobolev空间

What happens when an out-of-bounds value is assigned to a signed value is up to the compiler.

当将超出边界的值赋给 signed 值时发生什么由编译器负责。

And boundary condition and parametrization of offset data points influencing on interpolating curve is discussed.

因此，正确地选择边界条件和型值点的参数化方法将会得到所需要的插值曲线。

With the nearest interpolation algorithm, the results could be acquired at any location, any time within research areas after eliminating periodic variation and boundary interception error. This method could be applied in the marine environment field.

该方法在高维空间中使用最邻近插值算法，消除了周期性变化以及边界截断误差的影响，实现了对研究区域任意时间，任意地点的插值，在海洋环境领域有着一定的应用前景。

Based on Pontryagin maximum principle,the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。