Using the site
Each of the 100 statements has its own page with the formula, an explanation, conditions and neighbouring statements. Mathematics is typeset in LaTeX and rendered locally, so formulas appear as in a textbook.
Conditions matter
Dimensionality, finite size, equilibrium and model assumptions are essential. A compact formula should not be read as a claim of unrestricted validity.
The explanations are concise study notes, not full proofs. Consult the references for derivations.