Some 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

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...

Pregnancy- Some Unanswered Questions

The definition of pregnancy as the state of a female in the time interval between fertilization of her ova and the expulsion of the foetuses at term, lays focus on the maternal organism and casual thinking tends to emphasize maternal physiology and welfare. In part, this is due to the fact that the maternal organism is reasonably accessible for day to day observations and measurements which do ...