11. Therefore, the theorem states, it is expressible as the sum of two squares. 12. In fact, every such invariant is expressible as a function of the appropriate cross ratio. 13. It is obvious that everything expressible in the unrestricted interpretation is expressible in the restricted interpretation. 14. It is obvious that everything expressible in the unrestricted interpretation is expressible in the restricted interpretation. 15. This should be expressible in radicals, per history, if I'm not mistaken. 16. However, these numbers are not known to be expressible by themselves in terms of elementary functions. 17. Sometimes though that requirement is dropped to create total durations not exactly expressible in the duple system. 18. These results are not expressible as first order statements but can be expressed as second-order statements. 19. That is, all facts related to the process of understanding must be expressible in terms of natural facts. 20. This is an easy consequence of a number of other NP complete problems being expressible as constraint satisfaction problems.
