Verified Certificate

Supported by the following organizations

This is to certify that Raphael Filip Da Silva Miguel Martinez successfully completed and received a passing grade in 009x: Stochastic Processes: Data Analysis and Computer Simulation a course of study offered by KyotoUx, an online learning initiative of Kyoto University.

Noted by

Ryoichi Yamamoto, Ph.D

Ryoichi Yamamoto, Ph.D

Professor Department of Chemical Engineering, Graduate School of Engineering, Kyoto University

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