README.md

Mathematical Series Matrix Generator

This project implements a computational algebra algorithm in C. It populates a $4 \times 10$ matrix with various mathematical growth series for integers ranging from 1 to 10.

🧮 Matrix Structure

The matrix is organized into 4 distinct rows, where each column $j$ (representing number $x$) contains:

1. Row 0 (Linear): The number itself ($x$)
2. Row 1 (Quadratic): The square of the number ($x^2$)
3. Row 2 (Factorial): The factorial of the number ($x!$)
4. Row 3 (Exponential): The number to the power of itself ($x^x$)

⚙️ Technical Implementation

• Data Types: Uses long long integers to handle large values (e.g., $10^{10}$ exceeds standard integer limits).
• Complexity: Populates the matrix in a single pass with nested loops for factorial and power calculations.

🚀 Output Example

The program generates a table structure similar to:

n	1	2	3	...	10
$n^2$	1	4	9	...	100
$n!$	1	2	6	...	3,628,800
$n^n$	1	4	27	...	10,000,000,000

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This repository demonstrates nested loops, mathematical algorithms, and data type management in C.