Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Constant_coefficients> ?p ?o. }
Showing items 1 to 21 of
21
with 100 items per page.
- Constant_coefficients abstract "In mathematics, constant coefficients is a term applied to differential operators, and also some difference operators, to signify that they contain no functions of the independent variables, other than constant functions. In other words, it singles out special operators, within the larger class of operators having variable coefficients. Such constant coefficient operators have been found to be the easiest to handle, in several respects. They include for example the Laplacian of potential theory and other major examples of mathematical physics.In the case of ordinary differential equations, writingD = d/dxthe general constant-coefficient differential operator is L = p(D),where p is any polynomial with complex number coefficients. The solution of equationsLf = gwith a given function g(x) was given already in the eighteenth century, by Leonhard Euler.For partial differential equations, the constant-coefficient operators are characterised geometrically by their translation invariance, and algebraically as polynomials in the partial derivatives. According to the Ehrenpreis–Malgrange theorem, they all have fundamental solutions.".
- Constant_coefficients wikiPageID "3992208".
- Constant_coefficients wikiPageRevisionID "343115479".
- Constant_coefficients hasPhotoCollection Constant_coefficients.
- Constant_coefficients subject Category:Differential_operators.
- Constant_coefficients type Abstraction100002137.
- Constant_coefficients type DifferentialOperators.
- Constant_coefficients type Function113783816.
- Constant_coefficients type MathematicalRelation113783581.
- Constant_coefficients type Operator113786413.
- Constant_coefficients type Relation100031921.
- Constant_coefficients comment "In mathematics, constant coefficients is a term applied to differential operators, and also some difference operators, to signify that they contain no functions of the independent variables, other than constant functions. In other words, it singles out special operators, within the larger class of operators having variable coefficients. Such constant coefficient operators have been found to be the easiest to handle, in several respects.".
- Constant_coefficients label "Constant coefficients".
- Constant_coefficients label "定数係数".
- Constant_coefficients sameAs 定数係数.
- Constant_coefficients sameAs m.0bbgl7.
- Constant_coefficients sameAs Q5163646.
- Constant_coefficients sameAs Q5163646.
- Constant_coefficients sameAs Constant_coefficients.
- Constant_coefficients wasDerivedFrom Constant_coefficients?oldid=343115479.
- Constant_coefficients isPrimaryTopicOf Constant_coefficients.