If a point $x\in\mathbb{R}^{n+1}$ belongs to the amoeba

$$\operatorname{Log}_{t}(\{z\in(\mathbb{C}^{*})^{n+1}\ |\ f_{t}(z)=0\})$$

then the monomials $c_{j}x^{j}$ from $p_{t}$ satisfy to the generalized triangle inequality in $\mathbb{R}_{t}$, i.e. for each index $k$ we have

$$c_{k}\odot x^{k}\leq{\bigoplus\limits_{j\neq k}}c_{j}\odot x^{j}.$$