Amortized Analysis and Hashing Ted Pyne Table of Contents ¡ñ Amortized Analysis ¡ñ Hashing Amortized Analysis ¡ñ Normal: Require our data structure to be fast on every operation ¡ñ Amortized: Require our data structure to be fast ¡°in total¡± Track runtime using potential function Cost of operation = real work + change in potential function […]
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CSC209: Software Tools and Systems Programming https://q.utoronto.ca/courses/204484 Karen Reid Nathan Wiebe csc209-2021-01@cs.toronto.edu Welcome Back! First exercise: Let’s find out more about you and your fellow classmates Introductions In the breakout rooms: 1. Introduce yourself 2. Say one interesting thing about yourself 3. What worries you the most about this course OR what are you most
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Formal Methods of Software Design, Eric Hehner, segment 2 page 1 out of 2 [1] We’ve been talking about Binary Theory, and we’ve pretty well covered it, but there are a couple of advanced tricks I’d like to tell you about. The first one is called monotonicity and antimonotonicity. Some people call it [2] covariance
Formal Methods of Software Design, Eric Hehner, segment 3 page 1 out of 3 [1] Now we’re going to look at 4 of the simplest data structures. They are the bunch, the set, the string, and the list. There’s just 2 data structuring principles here, namely packaging, and indexing. The bunch is the simplest structure
400 (resettable variable) A resettable variable is defined as follows. There are three new names: value (of type X ), set (a procedure with one parameter of type X ), and reset (a program). Here are the axioms: valueʹ=x ⇐ set x valueʹ=value ⇐ set x. reset reset. reset = reset Implement this data structure,
CS124 Lecture 12 12.1 Near duplicate documents1 Suppose we are designing a major search engine. We would like to avoid answering user queries with multiple copies of the same page. That is, there may be several pages with exactly the same text. These duplicates occur for a variety of reasons. Some are mirror sites, some
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CS124 Lecture 10 Spring 2016 10.1 The Birthday Paradox How many people do there need to be in a room before with probability greater than 1/2 some two of them have the same birthday? (Assume birthdays are distributed uniformly at random.) Surprisingly, only 23. This is easily determined as follows: the probability the first two
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Formal Methods of Software Design, Eric Hehner, segment 4 page 1 out of 5 [1] We’re looking at the most basic data structures. Bunches are [2] unpackaged and unindexed. Sets are [3] packaged but not indexed. [4] Strings are indexed but not packaged. [5] And lists are both packaged and indexed. We’ve done bunches and
Internet Mathematics Vol. 1, No. 4: 485-509 Network Applications of Bloom Filters: A Survey Andrei Broder and Michael Mitzenmacher Abstract. A Bloom filter is a simple space-efficient randomized data structure for representing a set in order to support membership queries. Bloom filters allow false positives but the space savings often outweigh this drawback when the
Advanced Programming Techniques COSC1076 | Semester 1 2021 Assignment 1 | Implementing a Path Planning Algorithm Assessment Type Individual Assessment. Clarifications/updates may be made via announcements/rel- evant discussion forums. Due Date 11.59pm, Sunday 11 April 2021 (Before Week 6) Silence Policy From 5.00pm, Friday 09 April 2021 (Week 5) Weight 30% of the final course
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