The duality theory is the basic theory for mathematical planning in which the study of weak duality theorem under different controlling conditions is an important part of duality theorem research.
对偶理论是数学规划的理论基础，其中在各种约束条件下对弱对偶定理的研究是对偶理论研究的重要组成部分。
Based on study of punching process requirements and processing sequence, the polychromatic sets theory was applied to construct the mathematical model of punching process planning.
在研究冲压工艺加工需求和加工工序的基础上，应用多色集合理论建立了冲压工艺规划的数学模型。
The mathematical methods of analysis play an increasingly significant role in planning military operations.
数学分析方法在军事行动计划中扮演着越来越显著的角色。
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