Don't Drink and Derive: A Simple Proof that 1 = 2

Don't Drink and Derive: A Simple Proof that 1 = 2

Let \begin{align} a,b,c \in \mathbb{R} \backslash { 0}. \end{align}

Now let us define a simple equation

and play around with it a little bit.

We then add the terms and to the left side of the equation and then subtract them again and rearrange the terms of the equation:

Now, the equation simplifies to:

If we use our original relation from Eq. \eqref{eq:start} and insert for the term we finally get:

So, starting with Eq. \eqref{eq:start} we could prove that actually . Or is there something wrong up there?

Markus Thill

Markus Thill
I studied computer engineering (B.Sc.) and Automation & IT (M.Eng.). Generally, I am interested in machine learning (ML) approaches (in the broadest sense), but particularly in the fields of time series analysis, anomaly detection, Reinforcement Learning (e.g. for board games), Deep Learning (DL) and incremental (on-line) learning procedures.

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