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Formulas In Differentiation Applications
Suppose is the equation of any curve. So here are the first two formulas. EQUATIONS OF THE TANGENT AND THE NORMAL…
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Root Mean Square Value Of A Function
Suppose is the equation of a curve. Then the root mean square (rms) value of the function between ad will be Now I’ll…
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Length Of Any Curve
Let’s suppose is the equation of any curve. Then the length of the curve between and is EXAMPLE 1 According to Stroud and…
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Nonhomogeneous Poisson Processes
Non-homogeneous Poisson process model (NHPP) represents the number of failures experienced up to time t is a non-homogeneous Poisson process {N(t), t…
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Homogeneous Poisson Process
The poisson process is one of the most important and widely used processes in probability theory. It is widely used to model…
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Probability Distributions Set 3 (Normal Distribution)
The previous two articles introduced two Continuous Distributions: Uniform and Exponential. This article covers the Normal Probability Distribution, also a Continuous distribution, which…
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Probability Distributions Set 2 (Exponential Distribution)
The previous article covered the basics of Probability Distributions and talked about the Uniform Probability Distribution. This article covers the Exponential…
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Probability Distributions Set 1 (Uniform Distribution)
1. Discrete Probability Distribution – If the probabilities are defined on a discrete random variable, one which can only take a discrete…
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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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…
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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…