Cardinality of sets

[qcc]

You use the grouping of digits method as a way to shuffle the digits of two numbers representing points of the square. Which point of the square would shuffle to the point 0.203400506708....? What does this shuffling method tell you about the cardinalities of the set of points in the square and the set of points on a line segment?

I got [1 3 4 5 6] so far. Don't know how to solve from here. Any help please? Thanks

 

[pka]

involves

You use the grouping of digits method as a way to shuffle the digits of two numbers representing points of the square. Which point of the square would shuffle to the point 0.203400506708....? What does this shuffling method tell you about the cardinalities of the set of points in the square and the set of points on a line segment?

I got [1 3 4 5 6] so far. Don't know how to solve from here. Any help please? Thanks

What in the world does the grouping of digits method as a way to shuffle the digits mean?
I taught this material for many years. But I have never seen those words used.
Therefore, I conclude that it must be a textbook specific or instructor specific topic.
So you ought to post the definitions involved in this question.

 

[qcc]

To show that the cardinality of the square S is the same as the cardinal- ity of the line segment L, we need to show that we can pair each point of S with a point of L and each point of L with a point of S. In other words, suppose that we had two barrels: In one barrel we put all the points from inside the square S, and in the other barrel we put all the points of the line segment L. If we could demonstrate a way of pairing elements of the S barrel with elements of the L barrel so that, once all the pairings are made, we have nothing left in either barrel, then that would demonstrate that the cardinality of the things in the S barrel is the same as the cardi- nality of things in the L barrel. <-only explanation from my book.

What in the world does the grouping of digits method as a way to shuffle the digits mean?
I taught this material for many years. But I have never seen those words used.
Therefore, I conclude that it must be a textbook specific or instructor specific topic.
So you ought to post the definitions involved in this question.

 

[qcc]

To show that the cardinality of the square S is the same as the cardinal- ity of the line segment L, we need to show that we can pair each point of S with a point of L and each point of L with a point of S. In other words, suppose that we had two barrels: In one barrel we put all the points from inside the square S, and in the other barrel we put all the points of the line segment L. If we could demonstrate a way of pairing elements of the S barrel with elements of the L barrel so that, once all the pairings are made, we have nothing left in either barrel, then that would demonstrate that the cardinality of the things in the S barrel is the same as the cardi- nality of things in the L barrel. <-only explanation from my book.

What in the world does the grouping of digits method as a way to shuffle the digits mean?
I taught this material for many years. But I have never seen those words used.
Therefore, I conclude that it must be a textbook specific or instructor specific topic.
So you ought to post the definitions involved in this question.

 

[stapel]

I think the original poster is working from this textbook.