查询词典 regular algebraic surface

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 scale-type geometric wear-resistant structure surface is characterized in being made up of a base and the bionic geometric units on the surface. The bionic geometric structure unit is a scale-type structure distributed regularly on the surface of the base, and the distribution density is that: the ratio between the geometric projection area of the scale-type structure on the base surface and the surface area of the base formed by all the edge ends is 50-100%; the scale-type geometric structure unit has a symmetric hexagon shape on the surface; the sides L2/L1=1.0-2.0, L1: 1mm-50mm, and the internal angle Alpha is 120 degree -130 degree, the internal angle Beta is 100 degree -110 degree; the A-A section is subtriangular, and the B-B section is a trapezoid, the height H of the scale-type is 1-5mm.

本发明由基体和其表面上的仿生几何结构单元组成，仿生几何结构单元为在基体表面规律分布的鳞片型结构，鳞片型的分布密度为：其在基体表面上的几何投影面积之和与所有棱端围成的基体表面积之比为50-100％，鳞片型几何结构单元的表面形状为对称六边形结构：边长L2/L1＝1.0-2.0，L1：1mm-50mm，内角α为120°-130°，内角β为100°-110°，鳞片型的A-A截面为近似三角形，B-B截面为梯形，鳞片型的高度H为1-5mm。

The shockwave of the meteorite strike on the terrane of the surface passes the dynamic energy to the surface and forms the target terrane shatter cone; due to the fact that the terrane of stricken surface can not maintain the state of stress, a cluster of rarefaction wave was formed behind the shockwave to decompress terrane substances from high pressure state, this cluster of rarefaction wave ejects with high speed from the interface between the substances such as meteorite, surface terrane and lava, the shockwave compresses the target terrane substances, generating super-high temperature and forming a jet current of rock mass, rock powder, lava or rock fog with high pressure and temperature, the jet current lasted until the shockwave rebounded from the backside of rock, and the target of meteorite-stricken surface is formed on surface.

陨石撞击地面岩层时的冲击波把动能传给地表产生靶岩震裂锥，由于被撞击地表岩层不能维持应力状态，冲击波后面就发展一簇稀疏波使岩层物质从高压状态下减压，在陨石、地表岩层、熔岩等物质交界处高速喷出，冲击波压缩靶点岩层物质产生超高温，成为压力大温度高的岩块、岩粉、熔岩或岩雾喷射流，直到冲击波从岩石背侧反射、地面上形成陨击靶点。

It 's mainly used in steel tubes of high 's mainly used in steel tubes of high temperature superheaters with surface temperature temperature superheaters with surface temperature ≤625℃ and high ≤625℃ and high temperature reheaters with surface temperature temperature reheaters with surface temperature ≤650℃, and high ≤650℃, and high temperature headers and steam pipes with surface temperature temperature headers and steam pipes with surface temperature ≤600℃.

主要主要用于壁温≤625℃的高温过热器、壁温≤650℃的高温再热器钢管，以及壁温≤600℃的高温集箱温≤625℃的高温过热器、壁温≤650℃的高温再热器钢管，以及壁温≤600℃的高温集箱和蒸汽管道，国内外已逐步用该钢代替和蒸汽管道，国内外已逐步用该钢代替T22、F12、TP304L、TP347H等，但该钢焊接性能T22、F12、TP304L、TP347H等，但该钢焊接性能也比较差，容易产生焊接冷裂纹，所以同样要求有合适的预热温度和及时进行焊后回火处也比较差，容易产生焊接冷裂纹，所以同样要求有合适的预热温度和及时进行焊后回火处理。

By the FEA model that the recharge effect had been taken into account, the surface settlement and the surface differential settlement of the ground surface which was out of the recharge position could be greatly reduced, the recharge effect at far foundation pit wasmuch more apparent than at the near position. By the FEA model that the water-seal effect had been taken into account, the surface settlement and surface differential settlement of the ground surface could be largely reduced; the reduction of the total settlement and the differential settlement increased as the length of water-seal wall grew.

考虑回灌作用的有限元模型计算分析表明：设置回灌井或者回灌排水沟都可减小回灌处以外的地表总的沉降和不均匀沉降，随着排水沟离开基坑边距离的增加，回灌点以外的总沉降量和不均匀沉降都减少，回灌井埋设深度对周围地表沉降影响较小；通过考虑止水帷幕的有限元模型计算分析表明：设置止水帷幕可大大减小基坑周围土体总沉降和不均匀沉降，随着打设止水帷幕深度的增加，基坑周围地表总沉降和不均匀沉降都减小。

For a general parametric curve/surface, we usually cannot compute its exact implicit form. Even though its exact implicit form can be computed, the curve/surface implicitization involves relatively complicated computation and the degree is higher. Moreover, it may have unexpected components and self-intersections. All these unsatisfied properties limit the applications of the exact implicitization. So finding curve/surface approximate implicitization has become a practical problem. In this paper, we present an algorithm to solve the approximate implicitization of a given parametric curve by using a quadratic algebraic spline curve.

由于精确隐式化过程不一定可以实现，即使可以实现隐式曲线曲面的阶数高计算复杂，并且具有不希望的自交点和奇异分支，从而限制了隐式化的运用，所以寻求参数曲线曲面的近似隐式化问题成为很实际又重要的问题，提出利用二次代数样条曲线来实现一般平面参数曲线近似隐式化的一种算法。

Moreover, multivariate splines are closely related with some topics in pure mathematics, such as, abstract algebraic, algebraic geometry and combinatorics.

另一方面，多元样条与基础数学的一些领域，如：抽象代数、代数几何、微分方程及组合数学等，亦有着密切关联。

Using the substitution-elimination method affine algebraic variety can be resolved to pure d-dimensional subvariety and expressed by an algebraic hypersurface on d+1-dimensional space with a sequence of elimination-polynomial systems. All 0-dimensional solution can be found, too.

利用变换消元法可以把代数簇分解成纯d维的子簇，并把代数簇表示为d+1维子空间上的超曲面形式和一系列的消元多项式组，且能求出全部孤立解，同时给出了算法及其在多项式因式分解中的应用。

The algebraic laws of InforSIB event algebra and its context consumption policy are discussed. Context consumption policy is very suitable for real-time monitoring applications and has good algebraic laws to ensure that the time and space complexity is bounded for composite event detection.

讨论了InforSIB事件代数的代数性质，提出的上下文策略非常适合用于实时监控等领域，且具有良好的代数性质，保证了复合事件检测的时间和空间复杂度是有界的。

In addition, access control policies of aggregated resources can be formulated as expressions of the algebra. Several algebraic properties of policy expressions are discussed. It shows that the algebraic properties of policy expressions can be used to verify whether policy composition results meet the protection needs of each party.

用代数表达式形式化地描述聚合资源的访问控制策略，讨论了策略表达式的若干代数性质，说明可借助策略表达式的代数性质去验证策略合成结果是否符合各方对聚合资源的保护性需求。

But Severus escaped the hands of those that Julianus had sent to murder him and sent a letter to the praetorian guard, giving them the signal either to desert Julianus or to kill him.

赛维鲁总算逃过了尤利阿努斯派来的杀手，并写了一封信给罗马的禁卫军，向他们发出信号，要么抛弃尤利阿努斯，要么干掉他。他们立即服从了。

This text is in terms of this of " human nature ", it is under the influence of western literature human nature thought to probe into, awakening in human nature of novel works and all sorts of limitations that affectionate The school of Mandarin Duck and butterfly.

本文便是从"人性"这一角度，探讨在西方文学人性思想的影响下，清末民初鸳鸯蝴蝶派的言情、哀情小说作品在人性方面的觉醒与种种局限。