4 февр. 2022 г. · The set of positive real numbers is closed under addition, multiplication, and division · real-analysis · arithmetic · real-numbers.

12 дек. 2018 г. · We can now define R to be C(Q)/∼, where C(Q) denotes the set of Cauchy sequences. A real number is then an equivalence class of Cauchy sequences ...

25 окт. 2015 г. · The answers to all your questions are yes. The general construction proceeds by setting S0=S and inductively: Sn={s+t:s,t∈Sn−1}.

26 июл. 2016 г. · I am really just having trouble figuring out the process to solve this type of problem for future reference. I believe that it is not closed ...

29 янв. 2020 г. · If you can only add two different elements it would remain closed however if you add the upper or lower bound to itself it would be out of the range of the set.

13 апр. 2020 г. · If 1 is an element of the set, the set cannot be closed under division unless 1 divided by every other member of the set is also a member of the set.

11 июл. 2023 г. · For example, the set of negative real numbers is anti-closed under multiplication, and the set of odd integers is anti-closed under addition. I ...

1 мар. 2016 г. · A set is closed under addition if you can add any two numbers in the set and still have a number in the set as a result.

7 сент. 2014 г. · A set is closed under some operation if applying the operation on any elements of the set gives an element which is still in that set.

29 окт. 2013 г. · Let A be the set of all algebraic numbers. Show that A is closed under addition and multiplication. Attempt. Let a,b∈A, degQ(a)=m, ...