basic 3 min read
Law of total probability
Prerequisite – Random variables, Conditional probabilityGiven n mutually exclusive events A1, A2, …Ak such that their probabilities sum is unity and their…
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basic 1 min read
Newton’s Divided Difference Interpolation Formula
Interpolation is an estimation of a value within two known values in a sequence of values. Newton’s divided difference interpolation formula is…
basic 1 min read
Mean, Variance and Standard Deviation
Where μ is Mean, N is the total number of elements or frequency of distribution. Standard Deviation is square root of…
basic 9 min read
Indefinite Integrals
Antiderivative – · Defination :A function ∅(x) is called the antiderivative (or an integral) of a function f(x) of ∅(x)’ = f(x). · Example…
basic 3 min read
Inverse functions and composition of functions
Inverse Functions – In mathematics a function, a, is said to be an inverse of another, b, if given the…
basic 2 min read
Unimodal functions and Bimodal functions
Unimodal Function : A function f(x) is said to be unimodal function if for some value m it is monotonically…
basic 1 min read
Lagrange’s Mean Value Theorem
1) f(x) is continuous in the closed interval a ≤ x ≤ b 2) f(x) is differentiable in the open interval a < x…
basic 2 min read
Mathematics | Limits, Continuity and Differentiability
1. Limits – For a function the limit of the function at a point is the value the function achieves at a…
basic 1 min read
Brackets and factorization
When two or more terms in an algebraic expression contain a common factor, then this factor can be shown outside…
basic 1 min read
Hexadecimal numbers
The complexity of computers requires higher order numbering systems such as octal (base 8) and hexadecimal (base 16) which are…
