Some Questions of Nomenclature

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...

Some notes on nomenclature (Nematoda).

Taxonomic status of Paratrilobus Micoletzky, 1922 Bastian (1865) established the genus Trilobus with T. gracilis as type species. Trilobus {Paratrilobus) with T. (Paratrilobus) grandipapilloides as type was set up by Micoletzky in 1922. Generic rank was given to this subgenus by Baylis and Daubney (1926). Filipjev and Schuurmans Stekhoven (1941) also gave it generic rank, but as a synonym of Tr...

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...