There are many binary operations that can be viewed as generalizations of the addition operation on the real numbers.
A ring may be viewed as an abelian group (by using the addition operation), with extra structure.
This is because the car of the list names a function-the addition operation.
The addition operation combines these into general multivectors, which are the elements of the ring.
Watch: Max-operator can easily be confused with the addition operation.
It would take (much) longer than the universe is old for the fastest supercomputer to perform that many addition operations.
For perfect reconstruction only the invertibility of the addition operation is relevant.
Every ring is an abelian group with respect to its addition operation.
This addition operation is central to classical mechanics, in which vectors are interpreted as forces.
One everyday example of a group is the set of integers and the addition operation.