### Test for Convergence of Series

To understand test for  convergence of a series you have to understand sequence and series and related concepts. Sequence A sequence S is a function whose domain is natural numbers and range is real numbers….

### Classification of Second Order Partial Differential Equations

If z is a function of two independent variables x and y. Then second order partial differential equation Rr+Ss+Tt+ f(x,y,z,p,q)=0 Where r, s and t are and R, S and T are continuous functions of…

### Matrix Representation of a Linear Transformation

Matrix Representation of a Linear Transformation Suppose U and V are two vector spaces over the same field F of dimensions m and n. Let A = {α1, α2, α 3,……,α3} and B={β1, β2, β3,…….,βn}…

### Bubble Sort in Python

Bubble Sort in Python The basic idea behind bubble sort is to compare the first element in list to second element . Compare the second element to the third element if greater swap the elements….

### Caley-Hamilton Theorem

To  understand  Caley-Hamilton theorem you have to know about characteristic polynomial. Characteristic Polynomial If A is a square matrix of of size n * n, and I is identity matrix of the same size as…

### Logistic Regression

Hyperbolic Functions These functions are very important in regression, classification and to build neural networks. Moreover, it is important to remember expression hyperbolic functions in the form of exponential functions. I have written the expressions…

### Basics of Python : Calculate Factorial

Basics of Python : Calculate Factorial   Python is popular and easy to use language. It is widely used in data science, machine learning, Internet of Things (IoT)  and field of automation  However, it is…

### Linear Regression in Statistics

Linear regression Linear regression refers to find out degree of relationship between two variables in the form of a linear function y=mx+c using statistical techniques. Where m is gradient and c is intercept on y…

### Poisson Distribution as a Limiting Case of Binomial Distribution

For large value of n binomial distribution asymptotically tends to Poisson distribution. Probability distribution  function of binomial random variable  is Probability distribution of Poisson random variable is Poisson Distribution as a Limiting Case of Binomial…

### Exponential Probability Distribution

A random variable X is said to follow exponential distribution if it follows the following probability mass function. Exponential probability distribution is a continuous distribution. Probability Distribution Function of Exponentially Distributed Variable X   It…