Definition
A solution
of
is said to be a zero of multiplicity
if
can be written as
, for
, where
.
![[Maple Math]](images/lnotes531.gif){kind=small}
of
![[Maple Math]](images/lnotes532.gif){kind=small}
is said to be a zero of multiplicity
![[Maple Math]](images/lnotes533.gif){kind=small}
if
![[Maple Math]](images/lnotes534.gif){kind=small}
can be written as
![[Maple Math]](images/lnotes535.gif)
, for
![[Maple Math]](images/lnotes536.gif){kind=small}
, where
![[Maple Math]](images/lnotes537.gif){kind=small}
.
of
is said to be a zero of multiplicity
if
can be written as
, for
, where
.