componentwise
Adjective
Meaning
componentwise (not comparable)
In terms of components.
Examples
Summation of these vectors is being done componentwise.
The ultrapower construction We are going to construct a hyperreal field via sequences of reals. citation In fact we can add and multiply sequences componentwise; for example: : and analogously for multiplication.
This can be used to generalize for vector valued functions (f : U → R' m ) by carefully using a componentwise argument.