## Mathematics | Introduction to Proofs

Mathematical proof is an argument we give logically to validate a mathematical statement. In order to validate a statement, we consider two things: A statement… Read More »

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Mathematical proof is an argument we give logically to validate a mathematical statement. In order to validate a statement, we consider two things: A statement… Read More »

Probability refers to the extent of occurrence of events. When an event occurs like throwing a ball, picking a card from deck, etc ., then… Read More »

Data can be classified as being on one of four scales: nominal, ordinal, interval or ratio. Each level of measurement has some important properties that… Read More »

1. Independent Sets – A set of vertices I is called independent set if no two vertices in set I are adjacent to each other… Read More »

SEQUENCE: It is a set of numbers in a definite order according to some definite rule (or rules). Each number of the set is called… Read More »

Covariance and Correlation are two mathematical concepts which are commonly used in the field of probability and statistics. Both concepts describe the relationship between two… Read More »

Prerequisite – Introduction and types of Relations Relations are represented using ordered pairs, matrix and digraphs: Ordered Pairs – In this set of ordered pairs… Read More »

Prerequisite – Solving Recurrences, Different types of recurrence relations and their solutions, Practice Set for Recurrence Relations The sequence which is defined by indicating a… Read More »

In the field of Combinatorics, it is a counting method used to compute the cardinality of the union set. According to basic Inclusion-Exclusion principle: For… Read More »

Antiderivative – Defination :A function ∅(x) is called the antiderivative (or an integral) of a function f(x) of ∅(x)’ = f(x). Example : x4/4 is… Read More »

Prerequisite – Predicates and Quantifiers – Set 1, Set 2 Quantifiers are expressions that indicate the scope of the term to which they are attached,… Read More »

The expression denotes times. This can be evaluated as the sum of the terms involving for k = 0 to n, where the first term… Read More »

Interpolation is an estimation of a value within two known values in a sequence of values. Newton’s divided difference interpolation formula is a interpolation technique… Read More »

Prerequisite – K – Map (Karnaugh Map) Implicant is a product/minterm term in Sum of Products (SOP) or sum/maxterm term in Product of Sums (POS)… Read More »

Suppose f(x) and g(x) are 2 functions satisfying three conditions: 1) f(x), g(x) are continuous in the closed interval a <= x <= b 2)… Read More »