Definizione
Micro continuo di primo ordine
Sets Vector Space
,
. Then, for any
,
is a linear mapping of
. If
to all linear mapping of
is
. The
is a mapping from
, if this mapping is a continuous map, it is called
Yes from
< SECTION> to Continuously multi-mapped. Generally, all consecutive micromalable collections on are generally recorded , so . 
Micro continuo di ordine elevato
Set Vector Space
,
>
in
< / Section> The n-order Continuously Microprecognition is , which is the element exists in exists and all elements in , ie , The component of and . teorema di correlazione
Teorema di Clairere (1 ordine)
set vector space
, < Section> ,
When and only when all of the
exists and continuous. As you can see from this theorem, all consecutive functions of
can be recorded as
. This combines the high-order continuous recursive definition of the previous high-end, and can obtain a continuous additional equivalent definition:
is from
to
Continuously can be micromaled, which means all of the biasing numbers of
exists and continuous.
Teorema di Clairere (ordine N)
Set of vector space
,
, ifSection> , the n-order n-order deflection exchange of
remains unchanged during the order of order, ie
remains not in
Change,
is a differential operator and
.
