## Parallel Lamp Connection

Below is the lab work for Parallel Lamp Connection –

## Dim and Bright Connection

Here is the detailed lab work for a Dim and Bright lamp connection –

## Master Electric Connection

We will see how to operate 3 lamps using a master switch and also simultaneously operating them.

## Fluorescent Tube connection

Below is a simple step by step description of a Fluorescent Tube connection. We will see the list of materials needed, the procedure to build it observation and result.

## Finding measure of skewness and kurtosis for Poisson distribution

Here we define what Poisson Distribution is how to measure its skewness and kurtosis.

## Proving Inversion Mapping

Here we venture to prove that Inversion Mapping maps the totality of circles lines in the Z plane on to the same that of W plane –

## Find 4th Root of 1 and Square root of -8i

Here is an interesting solution to find nth root of a complex number Z. Here we use a general equation to find the 4th root of 1 and square of -8i. Enjoy!

## Finding Linear Fractional Transformation

Ok, here is a beautiful mathematical solution to find the Linear Fractional Transformation which maps |Z| <= 1 on to |W| <=1 such that Z = i/4 is mapped onto W=0. Also we will graph out the images of the lines x=c and y=c.

## Transformation of W=eZ

Here we discuss transformation of W = eZ

## Forming a Bi-Linear Transformation which maps a set of points

Here is a mathematical solution for forming a Bi-Linear Transformation which maps the points (1, i,-1) onto the points  (i,0,-i) and hence finding the image of |Z| < 1 and also finding the Invarient points of this Transformation 🙂

## How to determine which mathematical functions are analytic

Here is the solution on how to determine if a mathematical function is analytic –

## Mathematical solution for checking a certain function satisfy Laplace Equation

Here is an attempt to check if a function satisfies Laplace Equation and determining corresponding analytical function –

## Locus of a point Z satisfying condition |Z-1| + |Z+1| = 4

Here is a fun solution for Mathematics students to find the locus of a point Z satisfying condition |Z-1| + |Z+1| = 4 –