Where Exploration Leads to Academic Excellence
A Knowledge Hub by Rahul Anand
Mathematical Marvels: Insights from the Field
De Morgan’s laws
De Morgan’s First Law The complement of the union of two sets is equal to the intersection of their complements i.e. (A ∪ B )’ = A’ ∩ B’ De Morgan’s Second Law The complement of the intersection of two sets is equal to the union of their complements i.e. (A ∩ B )’ =…
Cartesian Product of Sets
A cartesian product between two sets is defined as the set consisting of all possible ordered pairs that can be formed by taking one element from each of the sets at a given time. If A and B are two sets such that a ∈ A and b ∈ B, then the cartesian product between A…
Tuples
In mathematics, a tuple or a sequence is a list of objects arranged in an order. Such a list may have repeated objects but the order is more important. Such sequences or tuples are denoted as ( t1, t2, t3, …., tn ) where tn is the nth element of the list. Below are a…
Ordered Pairs
An ordered pair is a 2-tuple formed by taking two elements (generally numbers but can be alphabets, characters, words, or symbols). The general form of representation is (a, b) where a and b represent two distinct objects. The important thing with ordered pairs is…
Cartesian Product
The cartesian product of two sets A and B is defined as a set formed by all the possible ordered pairs of elements from A and B, such that the first element comes from set A and the second element comes from set B. The cartesian product is denoted as A × B….
Intersection operation on two sets
The intersection of two sets A & B is defined as a set that contains only those members which are common to both A and B. The intersection operation is denoted by the symbol ∩. Remember, for two disjoint sets (sets having no common elements), the…
Union of two sets
The union of two sets A & B is defined as a set that contains all the member elements of A and B. the union operation is denoted by the symbol ∪. One point to remember here is that the union of two or more sets always gives a set with distinct…
Complement of a set
The complement of a set A (that is a subset of a universal set U) is defined as a set that contains all the member elements and all subsets of U that are not part of the set A. The complement of a set is denoted using the symbol ‘ or c. Hence, A’ =…
Calculus Castle
No Results Found
The page you requested could not be found. Try refining your search, or use the navigation above to locate the post.
Insight into the Laws of Physics
No Results Found
The page you requested could not be found. Try refining your search, or use the navigation above to locate the post.
No Results Found
The page you requested could not be found. Try refining your search, or use the navigation above to locate the post.
NUMERICAL SOLUTIONS IN PHYSICS
No Results Found
The page you requested could not be found. Try refining your search, or use the navigation above to locate the post.
Atom to Atom: Insights from the Chemical Universe
No Results Found
The page you requested could not be found. Try refining your search, or use the navigation above to locate the post.
Life’s Mysteries Revealed: Exploring Biology
No Results Found
The page you requested could not be found. Try refining your search, or use the navigation above to locate the post.
Features
Physics
Chemistry
Biology
Computing
Learning
