Combinatorics and physics Combinatorics and physics Combinatorial physics or physical combinatorics is the area of interaction between physics and combinatorics. "Combinatorial Physics is an emerging area which unites combinatorial and discrete mathematical techniques applied to theoretical physics, especially Quantum Theory.". "Physical combinatorics might be defined naively as combinatorics guided by ideas or insights from physics". Combinatorics has always played an important role in quantum field theory and statistical physics. However, combinatorial physics only emerged as a specific field after a seminal work by Alain Connes and Dirk Kreimer, showing that the renormalization of Feynman diagrams can be described by a Hopf algebra. Combinatorial
Minimum capital must be paid up (of the nominal amount and of any premium). Minimum capital Minimum capital is a concept used in corporate law and banking regulation to stipulate what assets the organisation must hold as a minimum requirement. The purpose of minimum capital in corporate law is to ensure that in the event of insolvency or financial instability, the corporation has a sufficient equity base to satisfy the claims of creditors. All public companies within the European Union are required to hold at least €25.000 in capital, although many countries go above this minimum requirement. The requirement is e.g. £50.000