Basic Examples
Basic Examples
In[]:=
Test whether an expression represents a quadratic function of a given variable:
[ax^2+bx+c,x]
In[]:=
True
Out[]=
[4x-Pi0,x]
In[]:=
False
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Test whether a given expression represents a quadratic function of a list of variables:
[(x^2+1)Log[y],{x}]
In[]:=
True
Out[]=
[(x^2+1)Log[y],{x,y}]
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False
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[ax^2+bx+cxy+dy^2,{x,y}]
In[]:=
True
Out[]=
Properties and Relations
Properties and Relations
Variables listed in the second argument are considered together:
[xy,{x,y}]
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True
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[x^2y,{x,y}]
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False
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If high-order terms in do not explicitly vanish, returns :
expr
QuadraticFunctionQ[expr,…]
False
[ax^2+bx+cxy+dy^2+rx^2y+sxy^2+tx^2y^2,{x,y}]
In[]:=
False
Out[]=
Explicitly taking the cubic and quartic coefficients of the previous input to be zero yields :
True
With{r=0,s=0,t=0},
[ax^2+bx+cxy+dy^2+rx^2y+sxy^2+tx^2y^2,{x,y}]
In[]:=
True
Out[]=
Expressions which lack an explicit quadratic term are not considered to be :
QuadraticFunctionQ
[4+y,y]
In[]:=
False
Out[]=