The long-term seepage control effects of the surrounding rocks of the underground powerhouse are performed by a stationary seepage analysis method combining the variational inequality formulation of Signorini's type with an adaptive penalty Heaviside function to guarantee the numerical stability and convergence. Meanwhile, the difficulty in finite element mesh generation is reduced and the calculation time and modeling accuracy are balanced with a global model of equivalent modeling and a submodel of accurate modeling for drainage hole array.
为确保数值计算的稳定性和收敛性，采用Signorini型变分不等式和自适应罚函数相结合的稳定渗流分析方法，对厂房围岩的长期渗控效应进行计算分析；同时，采用基于等效模拟的整体模型分析和基于精细模拟的子模型分析相结合的方法，以减小有限元建模难度并协调计算量和计算精度之间的矛盾。
Heaviside function was proposed to create a precise arithmetic model of the threshold gate. The model can describe both the set and reset behavior of the threshold gate.
提出采用Heaviside函数建立可精确描述门限门行为的数学模型，该数学模型可描述门限的置位、复位行为。
Do you know how to go to the Heaviside Layer?
你是否知道怎样去到那云上的世界？
Structural topology optimization is formulated in terms of the nodal variables on the level set function, which is converted to0-1 variables by Heaviside function regularized by the sigmoid function.
利用有限元离散后的水平集函数的节点值作为拓扑设计变量来求解连续体拓扑优化问题。
The phase change phenomena of frozen soil were simulated based on Characteristics of Heaviside staircase function and Gaussian jump function, and convergence and stability were improved.
利用Heaviside函数的阶梯性及Gaussian函数的突变性模拟了冻土相变过程能量的突变，提高了数值求解收敛的速度和稳定性。
The Heaviside unit step function and its logical groupings are introduced, which fully describe capturing mass and escaping mass in mechanisms with intermittent motion, and a clear formula giving equations of motion for the automatic machanism is obtained.
并且把能够充分体现间歇运动机构的质量捕获和质量逃离的Heaviside单位阶跃函数及其逻辑组合引入动量方程，得出了自动机构运动的一个明确表达式。
Heaviside lorentz's system of units
亥维赛洛伦兹单位制
The increase of the area of the inner surface can be considered as Heaviside step function, its derivative is Dirac delta function.
内表面的增加可以用Heaviside阶梯函数来描述，它的微分为Dirac函数。
That discontinuous function is not only convenient for integral and derivative, but also can be better reflect the displacement character after crack than heaviside function.
指数型间断函数具有在数学上的便于积分和求导的优点，且比阶梯间断函数更能反映实际破裂后的变形情况。
On the basis of experimental analysis, a damage accumulating model determinated by partial stress impulse is proposed, which describes the phenomenon of failure delay in materials being done with the Heaviside function.
在实验分析的基础上提出了一种由偏应力冲量决定的损伤累积模型，并采用Heaviside函数来描述材料内部的破坏迟滞现象；
After created by Gibbs and Heaviside, modern vector theory is applied to branches of physics and mathematics, especially electromagnetics.
吉布斯和亥维赛的向量理论创立后，随着物理学（特别是电磁学）和数学的进一步发展，物理学家和应用数学家开始大量地把向量语言用在物理学和数学的各个分支。
On the process of regularizing the Heaviside function, the information of the shape derivative and the topological derivative of the optimal design were considered. Convergence velocity was accelerated.
在对Heaviside函数正则化处理中，考虑了形状导数和拓扑导数信息，加快了收敛速度。
Applying Heaviside function, the equations governing the beam that possessing spatially distributed piezoelectric patches have been established.
首先借助阶梯函数，建立了含有任意分布的用作执行器的压电片的梁挠曲轴线方程。
The Representation of Heaviside Function in Nonstandard Analysis
Heaviside函数的非标准分析表示
Focuses on the development of complete clues Vector theory in the modern sense: The complex geometric said → Hamiltonian quaternion to create → Tate the quaternion development → Maxwell criticism for → Gibbs, founder of the theory of Heaviside vector.
重点介绍了现代意义下向量理论产生发展的完整线索：复数的几何表示→哈密顿四元数创造→泰特对四元数的发展→麦克斯韦的批判接受→吉布斯、亥维赛向量理论的创立。
Calculations show that the attenuation of sine input pulse is higher than Heaviside input pules in the elastic medium. The longer the action time of sine input pules, the higher the attenuation.
计算结果表明，在弹性介质内正弦输入脉冲的衰减比Heaviside输入脉冲的衰减快，正弦输入脉冲的作用时间越长，衰减越严重。