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**Table of Contents**

## Math

- Zero of a Function
- Whole Numbers
- Trigonometric Identities
- Triangle Inequality
- Best Time Saving Mathematics Formulas & Theorems
- The Area of a Disk
- Supremum and Infimum
- Square Integrable Functions, Norms, Trial Method in Integral Equations
- Definitions and Types of Integral Equations
- Significant Figures: Definition, Usage and Examples
- Set
- Study Notes on Real Sequences (Definitions and Examples)
- Irrational Numbers and The Proofs of their Irrationality
- On Ramanujan's Nested Radicals
- How to convert Integral Equations into Differential Equations?
- Important Definitions in Functional Analysis
- Function: Notations and Rules
- Fermat Numbers (Important Theorems & Examples)
- Fox-Rabbit Chase Problem [Solution & Math Proof]
- Equations- A Basic Introduction
- Everywhere Continuous Non-differentiable Function
- Dirichlet's Theorem and Liouville's Extension of Dirichlet's Theorem
- Difference Paradox
- Dedekind's Theory of Real Numbers
- Circumcenter of a Triangle: Definition, Types and Examples
- How to change Differential Equations into Integral Equations?
- Find the Day of a Date using this Calendar Formula
- Numbers - The Basic Introduction
- Mathematical Logic - The basic introduction

## Physics

- Wein’s Formula & Wein’s Laws
- What is a Transistor and How does it work?
- The Four Fundamental Forces of Nature
- Symmetry in Physical Laws
- Macrostates and Microstates and their relations with Thermodynamic Probability
- Standard Model
- Special Relativity
- Significant Figures: Definition, Usage and Examples
- Kinematic Equations Made Easy
- Jablonski Diagram - Consequences of Light Absorption
- The International System of Units
- Einstein Field Equations
- Bosons
- Boltzmann Constant

## Biology

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