For a real vector I know we write a = ( a 1 , a...

Ethen Blackwell

Ethen Blackwell

Answered

2022-07-18

For a real vector I know we write a = ( a 1 , a 2 , a 3 ) R 3 , which means a 1 R , a 2 R and a 3 R
Suppose instead I have a vector b = ( b 1 , b 2 , b 3 ) where b 1 , b 2 and b 3 only takes the values 0 or 1. What is the correct notation for this?

Answer & Explanation

Shelby Strong

Shelby Strong

Expert

2022-07-19Added 9 answers

Short Answer
( b 1 , b 2 , b 3 ) { 0 , 1 } 3
Description
For a smaller case of only one element, we write b { 0 , 1 }. For a two-element case, we can then write
( b 1 , b 2 ) { 0 , 1 } × { 0 , 1 } { 0 , 1 } 2
And likewise we get for the three-element case
( b 1 , b 2 , b 3 ) { 0 , 1 } × { 0 , 1 } × { 0 , 1 } { 0 , 1 } 3
Hope this helps

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