Island landscapes: Some preliminary questions

Some Questions

These are some questions I am every interested in. Your solution to any question in this draft would be welcome. I keep updating this draft. 1. Classical recursion theory We use R to denote the partial ordering of r.e. degrees and Dn to denote the partial ordering of n-r.e. degrees. Yang and I proved thatR is not a Σ1-substructure of Dn. Question 1.1 (Khoussainov). For n > 1, is there a functio...

E-Learning: some unanswered questions

Preliminary Quantum Questions

8 0h 3c = 1.097× 10 m−1 sets the scale of energy levels, and hence electonic transitions, in hydrogen. Outer electrons in more complex atoms often have energies typical of higher levels in hydrogen. • The fine structure constant α = e2 4π 0~c = 137.04 −1 characterises the strength of the electromagnetic interaction. In hydrogen, it sets the scale of perturbations to the non-relativistic Schrödi...

Some Questions on Unique

The simplest type of integral extension of a unique factorization domain B is obtained by adjoining to B an n-th root of one of its elements; that is, by forming the ring Bn = B[z]=(z n g), where n 2 Z and g 2 B. When n = 1, Bn = B. When n 2 it is natural to ask for what g 2 B will unique factorization be preserved? The case where B is a polynomial ring over an algebraically closed eld k immedi...

Some Questions and Answers

A heat pump is an electrically-ponered refrigerationcycle device which is capable ofproviding both heating and cooling to a residence. In the sumrrcr, it operates like an air conditioner by "moving" heat from inside the house to the outside. In the winter, the refrigerant flow is reversed, "moving" heat into the house by further chilling the already cold outside air and transferring the heat ga...