Parker Glynn-Adey

A Bijection

Posted in Math by pgadey on 2013/03/30

While grading an assignment on cardinality, I ran into the answer to the following problem:

Exercise 1 Show that {f(n) = \sum_{k=0}^n (-1)^{k+1} k} is a bijective map {{\mathbb N} \cup \{0\} \rightarrow {\mathbb Z}}.

Tagged with: , ,

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: