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Jacob Cordeiro will discuss the NACLO (North American Computational Linguistics Olympiad), and the skill which you can pick up in order to take part in this clever and fun competition. We’ll solve some favorite problems in group discussions, and learn the logic behind computational linguistics. Linguistic experience is by no means required–there will be something for all ages and all levels of skill.

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Come join us November 1st and hone your skills for this year’s problem solving season. AMC 8 is this month, making it a great time to delve into various interesting problems. Combinatorics, Number Theory, Geometry, and Algebra problems will be presented with multiple difficulty levels to challenge and delight our math circle patrons. Whether you are new to problem solving or looking for some additional challenges, this is a great circle for working with peers and under the instruction of Dr. Titu Andreescu, who has been coaching and educating mathletes for over 30 years.

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Later in the session, you will learn more about the High School Students Institut of Mathematics and Informatics established in 2000 by the Union of Bulgarian Mathematicians on the occasion of the World Year of Mathematics.

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Please join us for a fun look at permutation patterns. We will count some special classes of permutations. For example, there are “132-avoiding” permutations, which are those (like 546231) that never have three entries in order smallest-largest-middle. Among the n! permutations of size n, how many are 132-avoiding? And how many are 123-avoiding? That question is just the beginning. Next, we can count the number of permutations with 3 “descents”—downsteps between consecutive entries—again, like 546231—or the number of permutations with 3 “excedences”—cases of pi(i)>i—again, like 546231. There is a connection, which is another beginning. All this can be unified, and we’ll try to do that using “triangular functions.”

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