Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical Function
|
| gptkbp:basisFor |
gptkb:Polynomial_Ring
gptkb:Vector_Space_of_Polynomials |
| gptkbp:canBeFactored |
Irreducible Polynomials
Linear Factors Quadratic Factors |
| gptkbp:closed |
Addition
Multiplication Scalar Multiplication |
| gptkbp:coefficients |
gptkb:Real_Numbers
Complex Numbers |
| gptkbp:continuity |
Everywhere
|
| gptkbp:definedIn |
Polynomial Expression
|
| gptkbp:degree |
Non-negative Integer
|
| gptkbp:differentiable |
Everywhere
|
| gptkbp:domain |
All Complex Numbers
All Real Numbers |
| gptkbp:field |
gptkb:Mathematics
gptkb:algebra |
| gptkbp:form |
a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0
|
| gptkbp:graphType |
Smooth Curve
|
| gptkbp:hasProperty |
gptkb:Turning_Points
End Behavior Inflection Points Local Extrema Symmetry (Even/Odd) X-intercepts Y-intercept |
| gptkbp:hasSpecialCase |
Constant Function
Cubic Function Linear Function Quadratic Function |
| https://www.w3.org/2000/01/rdf-schema#label |
Polynomial Functions
|
| gptkbp:namedAfter |
Polynomial
|
| gptkbp:notClosedUnder |
gptkb:division
|
| gptkbp:range |
Depends on Degree and Coefficients
|
| gptkbp:represents |
gptkb:Horner's_Method
Standard Form Expanded Form Factored Form |
| gptkbp:roots |
Zeros of the Function
|
| gptkbp:usedIn |
gptkb:Numerical_Analysis
gptkb:Physics gptkb:Calculus gptkb:Approximation_Theory Computer Science Engineering |
| gptkbp:variableType |
Complex Variable
Real Variable |
| gptkbp:bfsParent |
gptkb:Analytic_Functions
|
| gptkbp:bfsLayer |
6
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