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The Friendship Algorithm (2009)
Summary
Sheldon hears that Barry Kripke is in control of an open science grid computer, so he plans to befriend him to get access to the computer. Socially inept, Sheldon has trouble understanding how to make a new friend, and his current friends aren't of much help in this respect. After a trip to the bookstore, Sheldon uses a children's book to help him design a flowchart to get new friends. This "scientific" procedure pays off, and Sheldon goes rock-climbing with Kripke. Afterwards, they are back at the apartment, where Sheldon decides to cut off Raj as a friend to make room for Kripke. However, when Kripke reveals that he does not control use of the grid computer, Sheldon dismisses him and restores Raj's place in the line-up.
Recurring characters: John Ross Bowie as Barry Kripke
Title reference: The algorithm created by Sheldon that he uses to make friends with Kripke.
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Whole or part of the information contained in this card come from the Wikipedia article "List of The Big Bang Theory episodes (season 2)", licensed under CC-BY-SA full list of contributors here.