Math and Science in a Lapse of Reason

Friday, January 4, 2013

Notes on Page Replacement Algorithms (LRU-K, Competitive Analysis, Marking Alg, more)

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 I took these notes in an airplane sit over a couple of  transatlantic  flights between Miami and Paris. I was reading about page replaceme...
Sunday, December 23, 2012

Some notes from optimization lecture

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Thursday, December 6, 2012

Notes on Amortized Efficiency of List Update and and Paging Rules

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For two lists of same items, an inversion is an unordered pair of items, i, j, s.t. i occurs before j in one list and after j in the o...
Friday, July 6, 2012

Lowest Common Ancestor Queries

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Let T be a rooted tree. The lowest common ancestor of any pair of nodes u_i,u_j in T is their common ancestor that is farthest away from the...

Range minimum problem (general case)

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The Range Minimum Problem is defined as: Given an array A[1..n] of real numbers, we want to preprocess A such that for any two given integer...
Sunday, June 24, 2012

Minimizing Piece-wise Linear Area for Solution to Convex Hull of Segments

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In a previous post we saw a solution to the parallel line segment smallest convex hull problem. See the post and familiarize yourself with ...
Saturday, June 23, 2012

Parallel Line Segments Smallest Convex Hull

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Here I am gonna write on what I learned about finding the smallest convex hull (smallest CH) of a set of parallel line segments from reading...
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