面积函数

The model hypothesizes that the interface area's increasing acceleration is the interface area's decreasing function.

弹靶碰撞可用来确定材料的动屈服强度，作者提出了一种新的弹靶接触面积增长模型——阻滞增长模型，该模型假设接触面积的增长率为接触面积的减函数。

Remove row and column' and 'put a big number' have been used for the first boundary;a continuous Regional Identification Function is used on the basis of non-variant nodal virtual flux method for the free surface boundary;Gauss formula is used to make the curved surface integral of the free surface boundary transformed as the difference between volumn integral and other curved surface integral to calculate the integral item on boundaries, which avoiding finding the position of free surface, while the continuous Regional Identification Function is applied to calculate volumn integral and surface integral;Crout and PCG method is used for solusion.

对于已知水头边界，采用"去行去列法"和"置大数法"进行处理；对于自由面穿过的单元，在固定网格节点虚流量法的基础上，引入连续的区域识别函数；对于非稳定渗流中自由面边界积分项，采用高斯公式将求自由面的面积分转化为求体积分与其他面积分之差，避免了求自由面的具体位置，同时在计算体积分和面积分时采用连续的区域识别函数；在解法上，采用直接解法和PCG法。

A new area function is introduced and applied to a Berkovich tip in order to characterize the contact projected area between an indenter and indented material.

为了研究纳米硬度计压针尖端曲率半径对面积函数的影响，提出一个基于几何方法建立的压针面积函数。

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。

Finish to design the micro CNC, I have to investigate the adaptable parameters for cutting. This paper had calculated tool's radius, spindle's rotational speed, radial depth, and feed speed by the instantaneous cutting areas of the cutting forces model. To find out the instantaneous cutting areas by mathematica which can calculate the tangential, radial and axial component of cutting forces during cutting.

设计完微型工具机后，接著探讨最佳的切削参数，本论文采用瞬时投影面积的数学模型，且推导出利用刀具半径、主轴转速、径向切深、进给速度等参数来做为瞬时切削投影面积的函数，并使用软体mathematica算出瞬间面积大小，预测出切削过程里所产生的切线切削力、径向切削力和轴向切削力。

In the same way, an area function and Fritsch-Carlson algorithm is used to solve the problem of the preservation of area of the surface of revolution.

对有面积约束的旋转曲面，我们则利用一个面积函数及Fritsch-Carlson算法来解决问题。

The height of bulliform cell groups reached 0.18 of leaves thickness, which was another important quantitative characteristic to achieve function of bulliform cells.

泡状细胞的周长面积比仅占普通表皮细胞的0.723，是泡状细胞功能实现的重要数量特征；(2)以细胞面积、周长、等效圆直径、每平方公厘细胞数、周长面积比，可以建立小麦叶片泡状细胞Fisher's线形判别函数，判别正确率达99%；(3)泡状细胞组高占叶厚的比例达到了0.18，是泡状细胞功能实现的又一重要数量特征；(4)相关分析表明，泡状细胞组长、泡状细胞组高、泡状细胞组面积均与泡状细胞距离叶缘的位置呈极显著负相关。

Remove row and column' and 'put a big number' have been used for the first boundary;a continuous Regional Identification Function is used on the basis of non-variant nodal virtual flux method for the free surface boundary;Gauss formula is used to make the curved surface integral of the free surface boundary transformed as the difference between volumn integral and other curved surface integral to calculate the integral item on boundaries, which avoiding finding the position of free surface, while the continuous Regional Identification Function is applied to calculate volumn integral and surface integral;Crout and PCG method is used for solusion.

对于已知水头边界，采用&去行去列法&和&置大数法&进行处理；对于自由面穿过的单元，在固定网格节点虚流量法的基础上，引入连续的区域识别函数；对于非稳定渗流中自由面边界积分项，采用高斯公式将求自由面的面积分转化为求体积分与其他面积分之差，避免了求自由面的具体位置，同时在计算体积分和面积分时采用连续的区域识别函数；在解法上，采用直接解法和PCG法。

Meanwhile,Q.Sun discussed〓inwith discrete area functi-on.

此前，Q.Sun在用离散面积函数刻划了〓。

According to experiment results, the characteristics of subsidence velocity is analyzed, and the view is presented that maxinum subsidence velocity is the function of the mining area.

根据实验结果分析了采动下沉速度变化的特点，提出了最大下沉速度值是开采面积的函数，并根据下沉速度曲线的特征，建立了在不同开采面积下某一层位的下沉速度函数形式，最后根据下沉速度与下沉值的关系推导出动态下沉值的计算公式。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷