My First Post

Tests

This is my first post. The main purpose of this post is to test if my configuration works well. So, let’s test:

\[ \begin{align*} f: \mathbb{R} &\to \mathbb{R}\\ x &\mapsto x^2 \end{align*} \]

Nice, isn’t it?

Let \(g: A \subset E \to F\), where \((E,\ ||\cdot||_E)\) and \((F,\ ||\cdot||_F)\) are normed vector spaces, and let \(a \in \bar A\) and \(\ell \in F\). We define:

\[ g(x) \xrightarrow[x \to a]{} \ell \enspace\overset{\text{def}}\iff\enspace \forall \varepsilon>0, \exists \eta>0, \forall x \in A, 0<||x-a||_E < \eta \implies ||g(x)-\ell||_F<\varepsilon \]

Great.

Why this blog

I will start this blog only because I bought this domain and I have to use it for something. However, I hope I can post some interesting things.

I plan to post both technical things and personal updates, which can be nice to keep the people I know updated.

Have a nice day :)