数学模型是在实地分析岩爆破坏机制基础上，经过岩爆强度理论及稳定理论分析，并经过物理模型试验验证后建立的。
Through analyzing rock failure due to rock burst in-situ, applying the rock burst strength theory and the stability theory, and using physical modelling experiment, the mathematical model is built.
描述了目前国内外学者对节理岩体爆破的研究进展，分析了常用的一些数学模型，阐述了人们对爆破块度的测定及预报情况以及计算机模型模拟及其应用。
The present development of study on jointed rock mass blasting by scholars all over the world are described and some common mathematical models are analyzed in this paper.
利用反演原理和极值原理讨论了一类生物数学模型正解的爆破现象，获得了解的爆破集和爆破率。
By the maximum principles and reflection principles, the blow-up of positive solutions of a biomathematics model was studied, and blow-up set and blow-up rate are obtained.
分析切口形状对烟囱的爆破切口角度、切口高度及倾倒规律的影响，建立砖烟囱和钢筋混凝土烟囱选择不同切口形状时的爆破切口角度、爆破切口高度和倾倒规律的数学模型。
The influence of cut shape on cut Angle, cut height and collapsing rule is analyzed, and the mathematical models to determine cut Angle, cut height and collapsing rule are established.
分析切口形状对烟囱的爆破切口角度、切口高度及倾倒规律的影响，建立砖烟囱和钢筋混凝土烟囱选择不同切口形状时的爆破切口角度、爆破切口高度和倾倒规律的数学模型。
The influence of cut shape on cut Angle, cut height and collapsing rule is analyzed, and the mathematical models to determine cut Angle, cut height and collapsing rule are established.
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