MIT PRIMES/Art of Problem Solving
CROWDMATH 2016: Pattern Avoidance
Pattern Avoidance
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Pattern Avoidance
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Mmitprimes
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Problem 3
Marcus - Excluded Permutation Matrices
Fulek: Forbidden Patterns in 0-1 Matrices
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extremal functions
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Keszegh - Forbidden Submatrices
Guth - Joints Problem
Problem 2
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H. Cohn et al. - D_4 Not Optimal
H. Cohn et al. - D_4 Not Optimal - null
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Klazar, Marcus - Füredi-Hajnal conjecture
Klazar, Marcus - Füredi-Hajnal conjecture - null
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Fox - Typically Exponential Limits
geometry
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Fulek: Forbidden Patterns in 0-1 Matrices - Exercise A
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Fox - Typically Exponential Limits - Exercise A
Fulek Forbidden Patterns in 0-1 Matrices
Fulek: Forbidden Patterns in 0-1 Matrices - Exercise B
Fulek: Forbidden Patterns in 0-1 Matrices - Exercise C
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k i Welcome to CrowdMath
CrowdMath 1
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Mar 14, 2016
by copeland
CrowdMath is an open project that gives all high school students the opportunity to collaborate on a large research project with top-tier research mentors and an exceptional peer group. MIT PRIMES and Art of Problem Solving are working together to create a place for students to experience research mathematics and discover ideas that did not exist before.
Below we've tried to unpack and explain the things you will find on the CrowdMath page:
Resources and Problems
The problems in the CrowdMath project are open, unsolved problems in mathematics. We will be discovering new truths that were unknown before. The problems will become available on March 1, 2016. Until then, we expect participants to be studying the readings in our Resources section of the CrowdMath page.
The Resources for this project are background ideas that you will need to understand and make progress on the CrowdMath problems. We've chosen resources that are directly relevant to the project: the problems are defined explicitly in terms of ideas that you will find in our resources. All of the problems we will pose are thematically linked and all of the resources we post will be as well. We will be releasing the resources roughly in the order that you should be reading them.
Each resource also has exercises to help clarify the key ideas and give practice with them. You can discuss the exercises by clicking either the "View Discussions" or "Start New Topic" button.
Eligibility
CrowdMath is designed to give very well-prepared high school students (as of 1/1/16) experience with math research. Very advanced middle school students are also welcome to participate. We know that the problems will be interesting to a broader range of people, but we want to create a specific opportunity for the upcoming generation of math and science researchers.
Be polite and constructive
This rule is simple, but important. The goal here is to learn to collaborate. Be nice!
Make your comments as easy to understand as possible
Polymath is a conversation. Assume that many people will be reading anything you write. Take a little time to make sure you write as clearly as possible and all of your collaborators will appreciate it.
Mentors
We have plenty of people watching and ready to help out when needed. However, we also know that there are many mathematicians out there who will find the CrowdMath project interesting and will want to help out. If you'd like to take part, send us a note at crowdmath@aops.com.
Dissemination of results and intellectual property
Polymath projects are inherently massively collaborative. Done correctly, it should be impossible to determine the lines between one person's work and the rest of the group. As such, we agree that the results created must be attributed to all CrowdMath contributors.
Below we've tried to unpack and explain the things you will find on the CrowdMath page:
Resources and Problems
The problems in the CrowdMath project are open, unsolved problems in mathematics. We will be discovering new truths that were unknown before. The problems will become available on March 1, 2016. Until then, we expect participants to be studying the readings in our Resources section of the CrowdMath page.
The Resources for this project are background ideas that you will need to understand and make progress on the CrowdMath problems. We've chosen resources that are directly relevant to the project: the problems are defined explicitly in terms of ideas that you will find in our resources. All of the problems we will pose are thematically linked and all of the resources we post will be as well. We will be releasing the resources roughly in the order that you should be reading them.
Each resource also has exercises to help clarify the key ideas and give practice with them. You can discuss the exercises by clicking either the "View Discussions" or "Start New Topic" button.
Eligibility
CrowdMath is designed to give very well-prepared high school students (as of 1/1/16) experience with math research. Very advanced middle school students are also welcome to participate. We know that the problems will be interesting to a broader range of people, but we want to create a specific opportunity for the upcoming generation of math and science researchers.
Be polite and constructive
This rule is simple, but important. The goal here is to learn to collaborate. Be nice!
Make your comments as easy to understand as possible
Polymath is a conversation. Assume that many people will be reading anything you write. Take a little time to make sure you write as clearly as possible and all of your collaborators will appreciate it.
Mentors
We have plenty of people watching and ready to help out when needed. However, we also know that there are many mathematicians out there who will find the CrowdMath project interesting and will want to help out. If you'd like to take part, send us a note at crowdmath@aops.com.
Dissemination of results and intellectual property
Polymath projects are inherently massively collaborative. Done correctly, it should be impossible to determine the lines between one person's work and the rest of the group. As such, we agree that the results created must be attributed to all CrowdMath contributors.
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