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My personal notebook on Maths, Physics and Coding. Get access to all my notes and projects through just one click.

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Mathematical Rigor

Detailed derivations using LaTeX.

Physics Simulations

Interactive demos alongside theory.

Clean Design

Distraction-free reading experience.

Recent Notes & Projects (AI Summerized)

Gravitational Wave Detection and Data Analysis

Explores gravitational wave detection across frequency bands, from CMB polarization to LIGO, and explains interferometer physics.

gravitational wavesinterferometryLIGO

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Interferometer Noise Sources and Quantum Noise

Analyzes Advanced LIGO's noise composition, focusing on quantum, thermal, and technical noise sources affecting gravitational wave detection.

quantum noisethermal noiseinterferometer

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Statistical Mechanics Homework Solutions

Deriving state equations and tension changes using thermodynamic coefficients and differential calculus.

thermodynamicsstate_equationdifferential_calculus

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Math Physics Equations Homework Solutions

Solving integrals with Bessel functions and proving trigonometric identities using generating functions.

Bessel FunctionsIntegral CalculusGenerating Functions

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Gravitational Wave Metric Tensor Calculation

Script calculates metric tensor components in TT gauge for a rotating carbon fiber column source and estimates its critical angular velocity.

gravitational wavesmetric tensorquadrupole moment

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Feynman Diagrams for Beginners

An introductory guide to Feynman diagrams and QED calculations, with exercises and computer-aided examples.

Feynman diagramsQuantum ElectrodynamicsScattering cross-section

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C++ Programming Fundamentals and Keywords

An overview of C++ programming basics, focusing on essential keywords categorized by function.

C++KeywordsProgramming

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Python Escape Characters Guide

Learn essential Python escape characters like \n and \t for formatting strings and handling special symbols effectively.

PythonEscape CharactersString Formatting

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Advanced Calculus: Taylor's Theorem Review

Explores Taylor's Theorem with Peano, Lagrange, and Cauchy remainder forms for function approximation.

Taylor's TheoremCalculusApproximation

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Advanced Calculus Series Convergence Analysis

A technical analysis of six infinite series convergence tests using comparison, ratio, and root tests.

series convergenceratio testcomparison test

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