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Complete Mathematical and Quantum Mechanics Notation Guide

A comprehensive reference for mathematical symbols and quantum mechanics notation with detailed explanations

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Table of Contents

• Calculus & Analysis
• Geometry & Trigonometry
• Basic Arithmetic & Algebra

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Complete List of Mathematical Notations and Symbols

A comprehensive reference guide for mathematical notation across all major branches of mathematics

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📋 Table of Contents

• Calculus & Analysis
• Geometry & Trigonometry
• Basic Arithmetic & Algebra

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Finding an IDOR Vulnerability

Let's imagine our target is a project management application: https://projects.example.com.

Step 1: Create Two Accounts

Create accounts with the same role to test horizontal privilege escalation:

• Attacker Account: attacker_user@mail.com
• Victim Account: victim_user@mail.com

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Finding a SQL Injection Vulnerability

Important Note: Always start with deliberately vulnerable applications like DVWA (Damn Vulnerable Web Application) or Web Security Academy before testing on real bug bounty programs.

Step 1: Map User Input Endpoints

Identify all locations where the application accepts user input:

Common SQLi injection points:

• URL Parameters: GET /users?id=1

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A Practical Walkthrough: Finding a CSRF Vulnerability

Let's imagine our target is a note-taking application: https://notes.example.com.

Step 1: Spot State-Changing Actions

You browse the application and identify actions that change data on the server. These are typically non-GET requests (POST, PUT, PATCH, DELETE).

Prime candidates on notes.example.com:

• User Profile:

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Finding a Clickjacking Vulnerability

Let's imagine our target is a social media site: https://socialapp.example.com.

Step 1: Spot State-Changing Actions

You browse the application and look for actions that change the state of your account or data and only require a single click (no text input, drag-and-drop, etc.).

Prime candidates on socialapp.example.com:

• Profile Actions:

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A Practical Walkthrough: Finding an Open Redirect

Let's imagine our target is https://example.com.

Step 1: Search for Redirect URL Parameters

You're browsing example.com and notice that when you click the "Login" button, it takes you to a URL like: https://example.com/login?redirect=/dashboard

• Analysis: The redirect parameter is a classic candidate. It tells the application where to send the user after a successful login. Other common parameter names include:

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A Practical Walkthrough: Finding a Reflected XSS

Let's imagine our target is a simple, hypothetical search page on a site like https://testbounty.example.com.

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Step 1: Look for User Input Opportunities

You navigate the site and find a search feature at the top of the page. The URL looks like this after you search for "shoes": https://testbounty.example.com/search?query=shoes

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The Ultimate Google Dorking Master Guide

Complete Reference for Advanced Search Operators

Table of Contents

1. Fundamentals of Google Dorking
2. Basic Search Filters
3. Advanced Search Operators
4. Boolean Logic & Combinations
5. Practical Use Cases
6. Security Research Techniques

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