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数学建模美国赛(MCM/ICM)的论文写作不仅需要扎实的建模能力,还需要清晰、规范的表达。以下是比赛中常用的句式分类及使用场景,帮助参赛者提升论文的逻辑性和学术感。
### 1. 问题描述与重述 引入背景: "The problem requires us to analyze/explore/develop a model for..." "Given the increasing importance of X, it is crucial to investigate..." 明确目标: "Our primary objective is to determine/quantify/evaluate..." "The key question we address is whether/how..."
### 2. 模型假设与合理性 列出假设: "We assume that... due to the lack of granular data." "For simplicity, we ignore the effect of X, as it is negligible in this context." 解释合理性: "This assumption is justified by prior research/empirical observations..."
### 3. 模型建立与求解 模型选择: "We adopt a X-based approach to capture the dynamics of..." "The Y model is selected for its balance between accuracy and computational efficiency." 求解过程: "By applying X algorithm, we derive the optimal solution under constraints..." "The iterative process converges when the error falls below a threshold of..."
### 4. 结果分析与验证 呈现结果: "Our results indicate a strong correlation between X and Y (R²=0.95)." "The sensitivity analysis reveals that the model is robust to variations in..." 验证方法: "We validate the model by comparing its predictions with real-world data from..."
### 5. 结论与改进 总结贡献: "This study provides actionable insights for policymakers to address..." 局限性与展望: "A potential limitation is the omission of X factor; future work could integrate..."
熟练运用这些句式能提升论文的流畅性和专业性,但需结合具体问题灵活调整。避免堆砌模板,确保逻辑连贯。