Basic neural network with julia

In this post I will try to describe building a basic regression model with gradient descent. This forms a very basic prototype of neural network. This by no means is a full fledged neural network, but this makes very fundamental foundation of neural network. Feedforward to calculate the error and back propagation to update the weights and biases from the error function. The code cells can be collected into a script and run as an individual julia script to reproduce everything that is described here in this article. ...

May 16, 2022

Basic neural network with julia

In this post I will try to describe building a basic regression model with gradient descent. This forms a very basic prototype of neural network. This by no means is a full fledged neural network, but this makes very fundamental foundation of neural network. Feedforward to calculate the error and back propagation to update the weights and biases from the error function. The code cells can be collected into a script and run as an individual julia script to reproduce everything that is described here in this article. ...

May 16, 2022

Trajectory of Charged Particle in Cross Field

Introduction Mutually perpendicular electric and magnetic field is generally referred to as Cross field. In this document we work out the trajectory of a charged particle in a cross field. The charged particle is stationary in the beginning. Problem Let a charged particle with charge $q$ be located at the origin with the magnetic field $\vec{B} = B\vec{k}$ and electric field $\vec{E} = E\vec{j}$. We are interested in working out the trajectory of the charged particle. ...

August 3, 2016 · Prakash

Trajectory of Particle with Air Resistance

Introduction In most simplified scenarios we ignore the role of air drag on the body under the influence of gravitataion. A good approximation for the air drag force is that it is proportional to the speed of the body. Calculations Lets suppose a body of mass $m$ is thrown upward with initial speed $v_0$ .The drag force from the air is $\vec{F}=-\alpha m \vec{v}$. Choosing coordinate axis to be such that the upward direction is positive $Z$ axis. ...

July 26, 2016 · Prakash

Go Back To The Basic

This is a mere waste of time in terms of the knowledge to the time ratio I am getting. I have been doing nothing and not learning something worth even a penny yet spending time worth more than a million. I don’t blame anyone for this and the only one to be blamed is me and me only. I am in the prestigious robotics club which already has spread its fame all around the country and probably some way around the world. But I don’t quite think this is the right way I have to be involved in this. I don’t know how does a diode work! And where I am? Oh!! on a place where some individual geniuses combine their knowledge to produce some of the finest robots and electronic components produced within at least the country and may be some way around the world. The difference between the knowledge of the working of a simple diode to the knowledge that can simply make a robot work. Oh I am worthless here. Don’t know how does the electron flow through a circuit and simply looking at a circuit where electron itself gets confused which path to flow through. I know, when I learn how does an electron actually respond to the electric field, I would eventually learn to analyse and figure out how does the electron flow through the powerful brain of robot which these ROBOTICS CLUB guys give birth to, with probably way more than nine months where nature itself can create a powerful brain worth the capacity to hold the knowledge of how the universe works. ...

October 3, 2012 · Prakash