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Medium
March 7th
Questions
What is the term for a branch of mathematics that studies functions, sequences, and algorithms defined on discrete structures?
What is the term for a mathematical model that represents objects as vertices and connections as edges, specifically used to study network structures?
What is the mathematical concept for the total number of outcomes in a situation where order does not matter, and repetition is not allowed?
What is the term for a proof technique used in discrete mathematics that involves demonstrating a base case and a recursive step?
What is the term for the study of mathematical objects that can be counted, including integers, graphs, and statements in logic?
Medium
March 7th
Questions
What is the term for the number of ways to arrange elements in a set such that order matters?
What is the term for a relation that is both antisymmetric and transitive?
What is the term for a collection of subsets of a set where each subset is disjoint from the others?
What is the mathematical concept for an ordered pair of elements, often used to define Cartesian products?
What is the term for a graph where edges have weights associated with them?
Medium
March 7th
Questions
What is the term for a graph in which there exists a path between every pair of vertices?
What is the term for a mathematical structure used to represent logical statements and their relationships?
What is the name of the process by which a set is divided into non-overlapping subsets?
What is the term for a graph that contains no cycles?
What is the term for the operation that combines two sets to include all elements that are in either of the sets?
Medium
March 7th
Questions
What is the term for a graph in which there is a unique shortest path between any two vertices?
What is the term for a relation on a set that is reflexive, symmetric, and transitive?
What is the term for the process of dividing a set into non-overlapping subsets such that each element is included in exactly one subset?
What is the name of the set operation that results in elements common to two given sets?
What is the term for a function that maps two sets and ensures every element in the first set is paired with exactly one element in the second set, but not necessarily vice versa?
Medium
March 7th
Questions
What is the term for a function between two sets where each element of the first set is paired with exactly one element of the second set, and vice versa?
What is the term for a set of numbers or objects arranged in a specific order, where repetition is allowed and the order matters?
What is the term for a graph representation where vertices represent propositions and edges represent logical implications?
What is the term for a mathematical expression that is defined recursively, with an initial value and a rule for subsequent terms?
What is the term for the mathematical operation that counts the number of ways to choose a subset of elements from a larger set, where the order does not matter?
Medium
March 7th
Questions
What is the name of the mathematical structure that consists of a set of vertices and edges, where edges connect pairs of vertices?
What is the mathematical term for a collection of distinct objects considered as a whole?
What is the type of graph where all edges have a direction associated with them?
What is the term for a mathematical structure that consists of a set and an operation that combines any two elements to form another element in the set?
What is the mathematical term for a path in a graph that visits every vertex exactly once?
Medium
March 7th
Questions
What is the term for a relationship between the elements of two sets that pairs each element in one set with one or more elements in the other set?
What is the term for a graph in which all the vertices have the same degree?
What is the term for the smallest number of edges that need to be removed to disconnect a graph?
What is the mathematical concept for a set of ordered pairs that satisfies a certain condition, often used to define functions or relations?
What is the term for a Boolean algebra structure that has exactly two elements?
Medium
March 7th
Questions
What is the term for a type of relation on a set where every element is related to itself?
What is the term for the number of edges in a complete graph with n vertices?
In propositional logic, what is the term for a compound statement that is always true regardless of the truth values of its components?
What is the name of the graph coloring problem that involves assigning the minimum number of colors to vertices so that no two adjacent vertices share the same color?
What is the term for a set of vertices in a graph that forms a cycle including all vertices of the graph exactly once?
Medium
March 7th
Questions
What is the term for a set of vertices and edges where the edges have a direction associated with them?
What is the principle in combinatorics that states the number of subsets of a set is 2 raised to the power of the number of elements in the set?
What is the term for a recursive method used to solve problems by breaking them down into smaller overlapping subproblems?
In graph theory, what is the term for a path that visits every edge exactly once in a graph?
What is the term for the mathematical concept describing a collection of elements where order matters and repetition is not allowed?
Medium
March 7th
Questions
What is the term for a mathematical structure that consists of a set of elements and two binary operations satisfying specific axioms such as associativity and distributivity?
In combinatorics, what is the term for a way of selecting items from a group where the order does not matter, but repetition is allowed?
What is the term for a directed graph where every vertex has an equal number of incoming and outgoing edges?
In set theory, what is the term for a set that contains all possible elements under consideration, usually denoted by a symbol like U?
What is the term for a function between two sets that is both injective (one-to-one) and surjective (onto)?
Medium
March 7th
Questions
What is the mathematical process of finding a function that describes the relationship between two variables in a discrete set?
What is the term for a graph traversal method that uses a stack and explores as deep as possible along each branch before backtracking?
What type of graph is used to represent Boolean expressions, with vertices corresponding to operations and edges representing dependencies?
What is the term for a mathematical proof technique that starts with a hypothesis and derives a contradiction?
What is the mathematical principle that states a set is finite if there exists a bijection between it and a finite set of natural numbers?
Medium
March 7th
Questions
What is the term for a mathematical structure that consists of a set of elements and an operation that combines any two elements to form a third element, satisfying closure, associativity, identity, and invertibility?
In combinatorics, what is the term for the number of ways to choose a subset of items from a larger set, where the order of selection does not matter?
What is the mathematical concept used to describe the relationship between two sets where every element of one set is paired with exactly one element of the other set?
What is the term for a logical operation that returns true if at least one of its inputs is true?
What is the term for a graph traversal technique that explores as far along each branch as possible before backtracking?
Medium
February 26th
Questions
What is the term for a mathematical function defined on a set of integers that satisfies a recurrence relation?
What is the term for a mathematical graph where each vertex is connected to every other vertex?
What is the term for a logical equivalence that states the negation of a conjunction is equivalent to the disjunction of the negations?
What is the term for a subset of a group of elements where the operation performed on any two elements of the subset results in another element of the subset?
What type of graph traversal algorithm explores all the vertices of a graph level by level?
Medium
February 26th
Questions
What is the term for a collection of objects where the order of the objects does not matter, and repetition is not allowed?
In propositional logic, what is the name of a statement that cannot be true under any interpretation?
What is the term for a mathematical structure consisting of vertices connected by edges, where the edges do not have any direction?
What is the name of the method used in discrete mathematics to prove statements by showing a basis step and an inductive step?
In set theory, what is the operation that results in a set containing elements that are in either of two given sets, or in both?
Medium
February 26th
Questions
In graph theory, what is the term for a spanning tree that has the smallest possible total edge weight?
What is the term for the number of ways to arrange a set of items into a sequence, considering all items are distinct?
What is the term for a subset of vertices in a graph such that no two vertices in the subset are adjacent?
In set theory, what is the operation that results in a set containing all elements that belong to either of two given sets, but not their intersection?
What is the term for a directed graph where every pair of vertices is connected by a path in at least one direction?
Medium
February 26th
Questions
What is the term for a subset of vertices in a graph such that every edge in the graph has at least one endpoint in the subset?
Which principle is used in counting to determine the total number of ways to perform two independent tasks?
What is the name of the directed graph representation that displays the dependencies among a set of tasks?
What is the term for the smallest set of vertices that can separate a graph into two disconnected subsets?
What is the term for the set of all elements that are in either of two sets but not in their intersection?
Medium
February 26th
Questions
In set theory, what is the term for the set containing all subsets of a given set?
In combinatorics, what is the term for a way of arranging objects where repetition is allowed and the order matters?
What is the term for a binary relation that is symmetric but not necessarily reflexive or transitive?
In graph theory, what is the term for a graph where each edge has a weight or cost associated with it?
In propositional logic, what is the term for a statement that is either true or false but not both?
Medium
February 26th
Questions
What is the term for a graph where all vertices are connected by a path, but not necessarily directly?
What mathematical principle states that if you distribute more items than containers, at least one container must hold more than one item?
In graph theory, what is the term for a graph in which some vertices may not be connected by any path?
What is the term for a function that maps elements from one set to another such that every element in the second set is mapped to by at least one element in the first set?
What is the term for the sum of the degrees of all vertices in an undirected graph?
Medium
February 26th
Questions
What is the term for a graph in which multiple edges can exist between the same pair of vertices?
What is the name of the order relation used to compare subsets of a given set?
In combinatorics, what type of arrangement considers the position of objects and does not allow repetition?
What is the term for a function that maps a set to itself and satisfies the property that applying it twice gives the original value?
What is the property of a binary relation when every element is related to itself?
Medium
February 26th
Questions
What is the term for the Boolean algebra operation that outputs true only when all inputs are true?
In graph theory, what is the term for a graph that has no loops or multiple edges between any pair of vertices?
Which principle in combinatorics states that if there are more items than containers, at least one container must hold more than one item?
What is the term for a binary relation that is reflexive, antisymmetric, and transitive?
What is the term for a finite sequence of numbers that satisfies a linear recurrence relation with constant coefficients?
