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a hash table is a data structure that allows for the very fast retrieval of data no matter how much data there is for that reason hash tables are widely used in database indexing caching program compilation error checking and much more consider a simple one-dimensional array variable to find an item in the list you can employ a brute force approach such as a linear search this would involve checking each item in term for a very big array this could take a very long time now suppose you want to retrieve a value from an element in the array and you happen to know the index number of that element you can look up the value very quickly indeed in fact the time it takes to look up any particular value in an array if you know the index number is independent of the size of the array and independent of its position in the array but how can you know which elements of the array contains the value youre looking for the answer is that each index number can be calculated using the value itself so