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Which era did Zhu Jinjie come from? What is his main contribution to mathematics?
It should be Zhu Shijie, a famous mathematician in the Song and Yuan Dynasties with Yang Hui (late Southern Song Dynasty), Qin (late Southern Song Dynasty) and Ye Li (early Yuan Dynasty).

Zhu Shijie (1249- 13 14) was a mathematician in Yuan Dynasty.

The main contribution to mathematics is

1. A complete set of elimination methods (the formulation of multivariate higher-order equations and the "four-element method" of elimination solutions) is established.

2. Higher order arithmetic progression summation method ("superposition method"),

3. High-order interpolation ("technique").