体积积分

Applications of integral calculus include computations involving area , volume , arc length , center of mass , work , and pressure .

积分的应用，涉及领域包括计算，体积，弧长，中心的质量，工作和压力。

Trimming correction is a way of using the area integral or Simpson to calculate the volume correction value.

纵倾修正是根据船舶首尾吃水差采用面积积分或复合辛普生方法近似计算体积修正量。

According to Orowan's investigation results, the amount of plastic work Γ is three orders larger than that of surface energy. However, the yielding of metal material is only associated with the deviator strain energy.

由于引起金属材料屈服的原因仅为偏斜应变能，而与体积应变能无关，本文提出了一个与路径无关的守恒积分，即偏斜应变能积分，并对其守恒性进行了严格的证明。

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。

In the study, calculation of two types of liner wear types based on the direction of liner wear and wear depth of the changes are studied. Mathematical models in terms of vector integral to calculate the liner wear volume is derived first.

本研究计算两种型式内衬之磨耗体积，依据内衬磨耗方向与磨耗深度的变化建立数学模型，并且使用向量积分计算内衬之磨耗体积。

This paper puts forward the triangle element method for calculating gravity anomaly of three-dimensional sphere-coronal model by using the divergence theorem. In this study, the volume integration was changed into surface integral, a series of triangles were used to fit the surface, and then the Green's formula was adopted to change surface integral into line integral. At the same time, a reasonable calculation program was given.

提出利用高斯公式将体积分变成包围该积分域的全表面积，应用一系列三角形拟合计算表面，然后通过格林公式把对每个三角形的面积分变成对三角形每边的线积分之和的三角元法来计算三度体球冠模型重力异常，同时给出了合理的计算方案。

In chapter 3 we introduce a volume elementon 〓 and give some formulas of integration on 〓 under this volumeelement.The singular matrix Liouville distribution is introduced through theuse of this volume element.

第三章较详细地介绍了〓上的体积元素，给出了在这个体积元素之下的若干积分的计算公式，在此基础上提出了退化矩阵Liouville分布，讨论了这个分布的一些性质。

Then introduces the basic concept and triple integral calculation method, the three-dimensional volume and triple integral calculation of triple integral mechanics.

随后介绍了三重积分的基本概念和计算方法，三重积分计算立体体积以及力学中三重积分的应用举例。

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。

The optimal volumetric concentration of the acid is determined by comparison of the effects of one acid with different volumetric concentrations on the solution ration of the fragmental rock;then with analysis of the experimental results of the fragmental rock's breaking rat.

比较不同体积分数单种酸对碎屑岩心溶蚀率，优化最佳酸液体积分数值；在此基础上，研究不同体积分数酸液复配体系对碎屑岩心破碎率实验结果，优选出适合萨零组油层的酸化解堵配方为7%HCl+0.5%HF+5%CH3COOH及12%HCl+0.5%HF+0.5%HBF4+3%CH3COOH体积分数

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。