Weierstrass division theorem
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
formal power series
convergent power series |
| gptkbp:describes |
division of power series by distinguished polynomials
|
| gptkbp:field |
gptkb:algebraic_geometry
complex analysis |
| gptkbp:firstPublished |
19th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weierstrass division theorem
|
| gptkbp:namedAfter |
gptkb:Karl_Weierstrass
|
| gptkbp:relatedTo |
local analytic geometry
local ring theory |
| gptkbp:state |
Any power series can be written as a product of a distinguished polynomial and another power series plus a remainder of lower degree
|
| gptkbp:usedIn |
gptkb:Weierstrass_preparation_theorem
|
| gptkbp:bfsParent |
gptkb:Weierstrass_preparation_theorem
|
| gptkbp:bfsLayer |
6
|