31. Much of this work focused on dense mathematical structures involving sequences of time and reality . "" 32. :: They would have been four facts about certain mathematical structures which later became known as groups. 33. The concepts of quasigroup and algebra over a field are examples of mathematical structures describing hyperbolic quaternions. 34. This will not result in a new superstition, but will be complemented by mathematical structure and empirical verification. 35. However, it is possible to define other mathematical structures which include things which are called " infinities ". 36. The commission recommended a curriculum based on set theory and logic with an early introduction to mathematical structures . 37. He moves back and forth between the groups, while moving down the list, in a rigorous mathematical structure . 38. The relational model is so named because it is based upon the mathematical structures known as relations .) 39. The analysis of sampled-data systems incorporating full-time information leads to challenging control problems with a rich mathematical structure . 40. The visual intricacy of mathematical structures such as tessellations and polyhedra have inspired a variety of mathematical artworks.