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Medium
May 28th
Questions
What is the term for a function that maps a set onto itself and satisfies both injectivity and surjectivity?
In set theory, what is the operation called that combines all elements from two sets without duplication?
What type of number is defined as a solution to a polynomial equation with integer coefficients?
What is the term for a mathematical structure consisting of a set equipped with an addition and multiplication operation satisfying distributivity?
What is the name of the concept in graph theory that represents whether a graph can be drawn without edges crossing?
Hard
December 15th
Questions
What is the cardinality of the set of all subsets of a set with n elements?
What is the cardinality of the set of all functions from a set with m elements to a set with n elements?
What is the number of non-similar connected graphs with n vertices?
What is the number of non-similar labeled trees with n vertices?
What is the number of ways to partition a set with n elements into non-empty subsets?
Medium
August 6th
Questions
What is the symbol used to represent the empty set in set theory?
In combinatorics, what is the number of ways to arrange n objects in a row?
What is the sum of the interior angles of a triangle?
What is the Pythagorean theorem used to calculate?
