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Author

Numeryst

Published

June 14, 2025

Introduction

This is my first blog post.

Still experimenting with the new features!

print("Hello Folks!")

The Pythagorean theorem states \(a^2 + b^2 = c^2\) for right triangles.

\[ \frac{\partial f}{\partial x} = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \]

If \(f\) is continuous on \([a,b]\) and differentiable on \((a,b)\), then there exists \(c \in (a,b)\) such that:

\[ f'(c) = \frac{f(b) - f(a)}{b - a} \]

\[\begin{align} (a+b)^2 &= a^2 + 2ab + b^2 \\ (a-b)^2 &= a^2 - 2ab + b^2 \end{align}\]

Black-Scholes (Equation 1) is a mathematical model that seeks to explain the behavior of financial derivatives, most commonly options:

\[ \frac{\partial \mathrm C}{ \partial \mathrm t } + \frac{1}{2}\sigma^{2} \mathrm S^{2} \frac{\partial^{2} \mathrm C}{\partial \mathrm S^2} + \mathrm r \mathrm S \frac{\partial \mathrm C}{\partial \mathrm S}\ = \mathrm r \mathrm C \tag{1}\]