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Proving Mathematical Propositions: Direct Indirect and Other Methods

Proving Mathematical Propositions: Direct Indirect and Other Methods

Unveiling the Power of Mathematical Proof Methods Proving mathematical propositions is a fundamental aspect of the discipline. Understanding different approaches to proof is crucial for building a strong foundation in mathematics. Different methods, such as direct,...
Navigating the CBSE Board Exams 2025: A Comprehensive Guide

Navigating the CBSE Board Exams 2025: A Comprehensive Guide

[ez-toc] TheCBSE Board Exams 2025loom large, a pivotal moment in the academic lives of countless students across India. This comprehensive guide aims to equip you with the strategies, knowledge, and confidence to not only navigate these exams but to truly excel. The...

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...

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...

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....