A truth table is a table that lists all possible combinations of input values for a logical expression and their corresponding output values. It is used to determine the truth value of a logical expression for all possible combinations of its variables. A truth table typically consists of a row for each possible combination of … Read more
The symmetric difference of two sets A and B, denoted by A Δ B, is the set of all elements that are in A or B, but not in both. Formally, A Δ B = {x | (x ∈ A and x ∉ B) or (x ∉ A and x ∈ B)} In other words, … Read more
The difference of two sets A and B, denoted by A – B, is the set of all elements that are in A but not in B. Formally, A – B = {x | x ∈ A and x ∉ B} In other words, the difference of two sets consists of all elements that are … Read more
The power set of a set A, denoted by P(A), is the set of all subsets of A, including the empty set and A itself. For example, if A = {1, 2}, then P(A) = { {}, {1}, {2}, {1,2} }. The power set of a set can be useful in various areas of mathematics, … Read more
The Cartesian product of two sets A and B, denoted by A x B, is the set of all ordered pairs (a, b) where a belongs to A and b belongs to B. Formally, A x B = {(a, b) | a ∈ A, b ∈ B} For example, if A = {1, 2} and … Read more
In mathematics, the intersection of two or more sets is a new set that contains only the elements that are common to all the original sets. The intersection of sets is represented by the symbol ∩. For example, if we have two sets A = {1, 2, 3} and B = {2, 3, 4}, then … Read more
In mathematics, the union of two or more sets is a new set that contains all the distinct elements of the original sets. The union of sets is represented by the symbol ∪. For example, if we have two sets A = {1, 2, 3} and B = {2, 3, 4}, then the union of … Read more
A binary tree can be represented using an array by assigning each node in the tree a unique index based on its level and position within the level. The root node is assigned index 1, and its left and right children are assigned indices 2 and 3, respectively. The left child of a node at … Read more
The Floyd-Warshall algorithm (also known as Warshall’s algorithm) is an algorithm used to find the shortest paths in a weighted graph with positive or negative edge weights. The algorithm was developed by Robert Floyd and Stephen Warshall in 1962. Here’s how the algorithm works: The floydWarshall function takes a 2D array graph representing the adjacency … Read more
Dijkstra’s algorithm is a popular algorithm used in computer science to find the shortest path between two nodes in a weighted graph. The algorithm was invented by Edsger W. Dijkstra in 1956. Here’s how the algorithm works: Dijkstra’s algorithm is commonly used in applications such as routing protocols in computer networks, finding shortest paths in … Read more
