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Woot Blog | A collaborative blog to explore Olympaid and higher mathematicsA collaborative blog to explore Olympaid and higher mathematics
http://aopswootblog.wordpress.com/
A collaborative blog to explore Olympaid and higher mathematics
http://aopswootblog.wordpress.com/
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Woot Blog | A collaborative blog to explore Olympaid and higher mathematics | aopswootblog.wordpress.com Reviews
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A collaborative blog to explore Olympaid and higher mathematics
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A collaborative blog to explore Olympaid and higher mathematics. Newer posts →. Number Theory #1 Sum of Roots of Unity. February 25, 2013. This entry was written by Lawrence Sun. Be positive integers. Prove that the sum of. Roots of unity, whose sum is not. Has modulus at least. Inspired by a result of Gerald Myerson. Root of unity. Now, for each. The automorphism which maps. Be the set of residues modulo. Continue reading →. February 25, 2013. Newer posts →. Roots of Unity Filter.
1equalstwo | Woot Blog
https://aopswootblog.wordpress.com/author/1equalstwo
A collaborative blog to explore Olympaid and higher mathematics. Geometry #1: A Geometric Proof of a Trigonometric Identity. March 3, 2013. I was quite annoyed that even though I found a nice geometric proof for this identity, none of my books that touched on it ever mentioned a geometric proof. Thus I present one here. Proposition: If , , and are … Continue reading →. Roots of Unity Filter. Create a free website or blog at WordPress.com.
mafhcow | Woot Blog
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A collaborative blog to explore Olympaid and higher mathematics. Number Theory #4 : Using Appropriate Moduli to Solve Exponential Diophantine Equations. March 9, 2013. We’ve all seen the solutions that say “trivial by modulo ” by maxal and a few other prominent AoPS users. How do they come up with these crazy numbers? Well, the trick is not to focus on using only one … Continue reading →. Number Theory #3: Finite Fields. March 2, 2013. Number Theory #2 Diophantine Approximations. February 26, 2013.
Combinatorics #2: An introduction to extremal graph theory | Woot Blog
https://aopswootblog.wordpress.com/2013/03/22/combinatorics-2-an-introduction-to-extremal-graph-theory
A collaborative blog to explore Olympaid and higher mathematics. Number Theory #4 : Using Appropriate Moduli to Solve Exponential Diophantine Equations. Combinatorics #2: An introduction to extremal graph theory. March 22, 2013. In this post, we will address to problems of the type: “At most how many edges can a graph. Have without containing a certain subgraph? 8221;, which belong to the field of extremal graph theory. First, we establish a classical result:. A complete graph with. If, for each vertex.
Number Theory #4 : Using Appropriate Moduli to Solve Exponential Diophantine Equations | Woot Blog
https://aopswootblog.wordpress.com/2013/03/09/number-theory-4-using-appropriate-moduli-to-solve-exponential-diophantine-equations
A collaborative blog to explore Olympaid and higher mathematics. Geometry #1: A Geometric Proof of a Trigonometric Identity. Combinatorics #2: An introduction to extremal graph theory →. Number Theory #4 : Using Appropriate Moduli to Solve Exponential Diophantine Equations. March 9, 2013. We’ve all seen the solutions that say “trivial by modulo. 8221; by maxal and a few other prominent AoPS users. How do they come up with these crazy numbers? Let’s start first with a simple innocent looking problem.
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The Mixtilinear Incircle | Power Overwhelming
https://usamo.wordpress.com/2015/08/11/the-mixtilinear-incircle
Some Notes on Valuations →. August 11, 2015. This blog post corresponds to my newest olympiad handout. My favorite circle associated to a triangle is the. Mixtilinear incircle. While it rarely shows up on olympiads, it is one of the richest configurations I have seen, with many unexpected coincidences showing up, and I would be overjoyed if they become fashionable within the coming years. Here’s the picture:. Are the contact points of the incircle and. Excircle on the side. Are the midpoints of the arcs.
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Woot Blog | A collaborative blog to explore Olympaid and higher mathematics
A collaborative blog to explore Olympaid and higher mathematics. Combinatorics #2: An introduction to extremal graph theory. March 22, 2013. In this post, we will address to problems of the type: “At most how many edges can a graph. Have without containing a certain subgraph? 8221;, which belong to the field of extremal graph theory. First, we establish a classical result:. A complete graph with. Vertices) as a subgraph, then it has at most. Continue reading →. March 9, 2013. Continue reading →. Finite F...
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