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
Amount in controversy $75,000 in 1996. The use of the word "exceeds" in Section 1332 implies that the amount in controversy must be more than $75,000; a case removed from state court to federal court must be remanded back to state court if the amount in controversy is exactly $75,000.00. Congress did not create a consistent federal question jurisdiction, which allows federal courts to hear any case alleging a violation of the Constitution, laws, and treaties of the United States, until 1875, when Congress created the statute which is now found at : "The district courts shall have original jurisdiction of all civil