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gptkbp:instanceOf
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gptkb: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
|
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gptkbp:coefficients
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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
|
|
gptkbp:namedAfter
|
gptkb:Polynomial
|
|
gptkbp:notClosedUnder
|
gptkb:division
|
|
gptkbp:range
|
Depends on Degree and Coefficients
|
|
gptkbp:represents
|
gptkb:Horner's_Method
gptkb: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
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Polynomial Functions
|