1.Making use of the Betti reciprocal work theorem, this paper derives the general fundamental solutions of displacement discontinuity in three dimensions, and then establishes the displacement discontinuity super-singular integral equations to solve three-dimensional multi-crack problems, in which the super-singular integral calculations are given by adopting the triangle element transformation and the finite-partial integral, and the angular point problems are solved by introducing inharmonical elements.
本文采用Beti互等功定理，导出了三维不连续位移基本解的一般形式，然后以该基本解为核函数，建立了求解三维多裂纹问题的超奇异边界积分方程组，并采用三角形单元变换技术和有限部分积分的方法给出了超奇异积分的数值解法，引入非协调单元处理技术解决了法向不确定的角点问题。
2.One of the primary trends of the modern shallow-water flows numerical simulation is to make use of the mathematic similarity between the homogeneous shallow water equation and Euler equation, as well the high performance algorithm of computational aerodynamics such as Osher, Roe, FVS, HLL, HLLC, ENO and WENO to simulate flow that contains discontinuity or weak discontinuity such as dam-break and bore.
现代浅水流动数值模拟的一个主要方向是利用齐次浅水方程和Euler方程在数学形式上的相似性，借用计算气体动力学的高性能算法，并结合浅水流动的特殊性建立适合于模拟溃坝、涌潮等有间断或弱间断存在的流动数值模型。
3.an event that results in a displacement or discontinuity.
导致转移或断绝的事情。
4.interplanetary shock wave and magnetospheric discontinuity
日地间激波和磁流间断
5.On the basis of probability and random theory, 3D fracture network modelingtechnology generates 3D discrete network of rock mass with Monte-Carlo method. Shape of each discontinuity is presented by a thin disc, spatial coordinates of its centerare x, y and z.
三维裂隙网络模拟技术的基础是概率统计、随机理论,该技术在现场取样的基础上采用蒙特卡罗模拟方法来生成岩体不连续面三维网络数值模型,模型中的每一个不连续面的形态采用薄的圆盘来表示,其空间的定位是圆盘中心的空间坐标X,Y,Z,圆盘直径D的大小,以及圆盘的产状(倾向α和倾角β)。
6.The discussion includes: fast real-time simulation algorithms; real-time combining algorithms and real-time parallel algorithm on net parallel computers; real-time simulation algorithms and real-time simulation parallel algorithms for differential-algebraic system; real-time discontinuity treatment; information transference error of simulation model; investigation of spurious solutions of digital simulation for dynamic systems, etc.Some new ideas and methods of constructing real-time simulation algorithms are given.
讨论包括：快速实时仿真算法研究；实时组合算法与网络计算机上的实时并行算法；微分代数系统的实时算法与实时并行算法；实时间断处理；仿真模型信息传输误差估计；动力学系统仿真假解研究等一些新的思想和方法。
7.Based on these curves which completed by simple profile instument, we can analyze statistically JRC and shear strength of discontinuity, so that the defects of bad representative caused by less samples can be overcome.
用简易纵剖面仪可快速绘制大量结构面表面轮廓曲线,以便进行JRC统计分析和结构面抗剪强度的统计估算,克服了由于样本数少而估算结果代表性差的缺陷;
8.The discontinuity distribution of the species and the adaptation of the alpine muscid flies are illuminated.
分析了青藏高原的隆起与冰期对蝇科昆虫的作用。
9.It is noticed from numerical results that: for the symmetrical step NRD-guide discontinuity, rare intermode coupling is observed between two fundamental modes LSE10 and LSM10;
数值结果表明:(1)对称阶梯NRD波导不连续结构的两个主模LSE10和LSM10之间几乎不存在耦合,传输特性良好;
10.(2)The deep geological processes such as the tilting and subsiding of Moho discontinuity, large-scaled deepmagmatism and deep faulting are main controlling factors for uranium metallogenesis;
（2）深部地质作用如莫霍面的起伏、深部大规模的岩浆活动和深断裂作用是铀成矿的重要控制因素；
