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As a tool of modelling we shall apply the tolerance averaging technique.
We shall apply Lemma 5.
We shall apply Theorem 2.1 again.
Proof We shall apply Lemma 2.5 to prove the result.
In order to do this, we shall apply Theorem 2.1.
Proof We shall apply Proposition 3.2 to the algebra R ∗.
To do this, we shall apply Lemma 2.3.
In this section, we shall apply Lemma 2.6.
We shall apply the Schauder's fixed point theorem.
To determinate hydrogen-like impurity states we shall apply the variational method developed in [18].
We shall apply Lemma 1 to φ to prove Theorem 1.
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