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xseries

Supported by the following organizations

This is to certify that Alvaro Sánchez Cruz has successfully completed all courses and received passing grades for an XSeries Program certificate in PredictionX a program offered by HarvardX, in collaboration with edX.

Noted by

Alyssa Goodman

Alyssa Goodman

Robert Wheeler Willson Professor of Applied Astronomy Harvard University

  • XSeries Program certificate Issued August 2021
  • Valid Certificate ID e95729e342ee47029c18296a367d4660

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