Articles , Blog March 6, 2020 2 Comments 10. Dictionaries Related posts: Database Indexing: Hashing Andy and Amy’s Haunted House MCITP 70-640: Active Directory different group types available Tokyo presses UNESCO to revise screening process for historical records registry TAGS chaining, cuckoo hashing, dictionaries, dynamic perfect hashing, Hashing, k-wise independent, linear probing, simple tabulation hashing, universal Daniel Ostrander Post navigation Using Intel Smart Response Technology on HP Notebook PCs | HP Notebooks | HPDaily List: Words is the dictionary Related Posts March 8, 2020 People Guess Urban Dictionary Definitions March 8, 2020 [Godot Engine] DataBase System – Data Dictionary & JSON March 8, 2020 Oxford dictionary – 20. A Bad Day at Work – learn English vocabulary with picture 2 thoughts on “10. Dictionaries” Roy lee says: April 27, 2016 at 6:42 am great lecture! Reply Mace Windu says: October 2, 2017 at 2:26 am A Question on Universality vs. Pair-Wise independence: The output of a hash function is used to map a particular value to a particular slot. The same output value hashes to the same slot. h(x) = h(y) means that the output of the hashing function for key x is the same as the output for the hashing function for key y. If the outputs are the same, the keys will hash to the same slot; if they are different, they will hash to different slots. In pair-wise independence, the probability that h(x1) maps to a particular slot t1 is 1/m. The probability that h(x2) maps to the SAME slot is 1/m and to a different slot is (m-1)/m. Therefore, the probability that the two outputs have the same output value is 1/(m^2). I've just asserted that the probability for the same event (two items hashing to the same slot) can be two different things, (1/m and 1/m^2) which is clearly wrong. Where am I getting tripped up on this? Thank you in advance! Reply Leave a Reply Cancel reply Your email address will not be published. Required fields are marked *Comment Name * Email * Save my name, email, and website in this browser for the next time I comment.