Verified Certificate

Supported by the following organizations

This is to certify that Nathan Long 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

About edX

edX offers interactive online classes and MOOCs from the world’s best universities, including MIT, Harvard, Berkeley, University of Texas, and many others. edX is a mission driven initiative created by founding partners Harvard and MIT.

About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.