An example of alpha is when it is used to describe a dog who is the leader of the pack.
An example of alpha as the beginning of something is when it is used in the scripture Revelations 22:13 to refer to God.
The alpha female of the wolf pack.
An example of alpha can be seen in many Greek fraternity or sorority names such as Alpha Sigma Lambda.
The alpha male.
I will attempt to make an alpha particle ("α-particle") with the large hadron collider.
I am the alpha male.
When space travel becomes feasible, I plan to visit Alpha Centauri.