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What kind of papers do mathematical modeling papers belong to? Natural science or social science?
Natural science, mainly mathematics and algorithms. Mathematical modeling, generally speaking, is to use mathematical methods to build models of problems encountered and obtain optimized results with computer assistance. In the formal mathematical modeling competition, it doesn't matter what discipline the problem itself is, it can basically be regarded as a mathematical problem. Excellent model and efficient algorithm are the core of the competition.

As far as my mathematical modeling experience is concerned, a thorough understanding of the problem itself is the core of my life and work. Mathematical modeling is a complex tool, and only good mathematical literacy and solid algorithm can effectively use the tool. For most people, there is no mathematical modeling. As long as they understand the problem thoroughly, they can solve it in other ways. But for programmers, mathematical modeling is necessary, because any complete program is a standard mathematical model to solve problems. On the other hand, the proposition abandonment of the modeling contest itself has some truth, mainly for mathematics and procedures. In reality, the mathematical modeling of a physical economic problem can't be done without physical experts and economic experts, or it doesn't need modeling. If it is solved, does this professional expert need to solve it again? Unless this problem has become a mathematical problem.