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This course is an introduction to discrete applied mathematics. Topics include probability, counting, linear programming, number-theoretic algorithms, sorting, data compression, and error-correcting codes.
- Lecture Notes
17.2. The Discrete Fourier Transform. 17.3. Computing the...
- Syllabus
This course is an introduction to discrete applied...
- Calendar
Sorting Algorithms R8 Math: Linear Programming Duality....
- Instructor Insights
Course Overview. This page focuses on the course 18.310...
- Recitations
REC # RECITATIONS 1 Math Topics: Probability: Sample Spaces....
- Assignments
Homework 4 has three questions, all of them math...
- Exams
Discrete Mathematics. Probability and Statistics. Social...
- Writing Resources
Math supplement for Academic Integrity Handbook (PDF) This...
- Lecture Notes
An algorithm is a finite set of precise instructions for performing a computation or for solving a problem. Example: Describe an algorithm for finding the maximum value in a finite sequence of integers. Description of algorithms in pseudocode: Intermediate step between English prose and formal coding in a programming language.
This le contains an English version of exercises in the course of Discrete mathematics. Most of the problems were prepared by Michael Kubesa, Tereza Kova rov a, and Petr Kov a r.
In discrete mathematics at least, nothing could be further from the truth. Introducing random choices into algorithms can improve their performance. The application of proba bilistic tools has led to the resolution of combinatorial problems which had resisted attack for decades.
An Introduction to Discrete Probability 8.1 Sample Space, Outcomes, Events, Probability Roughly speaking, probability theory deals with experiments whose outcome are not predictable with certainty. We often call such experiments random experiments. They are subject to chance. Using a mathematical theory of probability, we may be
Modern Discrete Probability. Providing a graduate-level introduction to discrete probability and its applications, this book develops a toolkit of essential techniques for analyzing stochastic processes on graphs, other random discrete structures, and algorithms.
6 Ιουλ 2018 · This paper offers a compact presentation of the solid involvement of Discrete Mathematics in various fields of Statistics and Probability Theory. As far as the discrete methodologies in Statistics are concerned, our interest is focused on the foundations and...