Posts
Plasma Oscillations and Plasmons
Learning Objectives:
Hamilton–Jacobi Equation
Hamilton–Jacobi Equation with Example of Harmonic Oscillator
Generating Function
Learning Objectives:
Legendre Transformation
Learning Objectives:
Hamilton Equation of Motion
Hamilton’s Equations of Motion
Hamilton’s Principle
Hamilton’s Principle
Least Action Principle
The Principle of Least Action
Calculus of variation
Calculus of variation
Lagrange’s Equation
D’Alembert’s Principle, Lagrange’s Equation and Its Simple Applications
Dielectric Properties of Materials
Macroscopic Dielectric Constant
Numerical Methods
Eigenvalues and eigenvectors play a central role in linear algebra, with wide applications in physics, engineering, and data science. They help understand the action of a linear transformation in a given vector space.
Image Processing: Eigenvalues and Eigenvectors
🧠 Objective
This lecture explores the application of eigenvalues and eigenvectors in image processing using Principal Component Analysis (PCA). We will:
Dissertation: N-Interconnected Mass-Spring System
Dissertation-Heat Equation
Simulation of the Heat Equation in a Rectangular Room
Dissertation-Wave Equation
Simulation of the Wave Equation in a Circular Domain Using Python
V. Python: Course Contents
🚀 Hands-on Practice: Practice coding by clicking on button below:
IV. Python: Object-Oriented Programming
Object-Oriented Programming (OOP) is a programming style that organizes code into objects, which store data and perform actions. This method makes programs more structured, reusable, and secure. The four main concepts of OOP are:
III. Python: Installation
Python is a high-level, interpreted programming language known for its simplicity and readability. It is widely used in various domains such as web development, data science, artificial intelligence, automation, and more. Python’s syntax is designed to be easy to learn, making it an excellent choice for beginners.
II. Evolution of Programming
“Programming is the art of instructing machines in the language of logic and creativity.”
I. Windows: Basics of Command Prompt
The Command Prompt (cmd.exe) is a command-line interpreter in Windows that allows users to execute commands, run scripts, and perform administrative tasks.