11. Seligman insisted that the results Edgeworth achieved were a quirk of his mathematical formulation . 12. This new mathematical formulation included as special cases the formulations of both Heisenberg and Schr�dinger. 13. Multivectors play a central role in the mathematical formulation of physics known as geometric algebra. 14. The " Treatise " is fundamentally philosophical in nature despite extensive mathematical formulations . 15. In the mathematical formulation of quantum mechanics, pure quantum states correspond to quantum uncertainty. 16. Evaluation of vibronic couplings is often associated with severe difficulties in mathematical formulation and program implementations. 17. As can be seen from the mathematical formulation , the algorithm is inherently bi-directional. 18. In particular, Wigner's theorem is a cornerstone in the mathematical formulation of quantum mechanics. 19. In the mathematical formulation of quantum mechanics, states are given by non-zero state vectors. 20. The 1996 statement was followed in 2004 by a complete mathematical formulation of constructal-law thermodynamics.
