MATHEMATICA TUTORIAL

Numeric Quantities

NumberQ[expr]test whether expr is explicitly a number
NumericQ[expr]test whether expr has a numerical value

Testing for numeric quantities.

Pi is a symbol, so Pi+3 is not explicitly a number.
In[1]:=
Click for copyable input
Out[1]=
It does however have a numerical value.
In[2]:=
Click for copyable input
Out[2]=
This finds the explicit numerical value of Pi+3.
In[3]:=
Click for copyable input
Out[3]=

Mathematica knows that constants such as Pi are numeric quantities. It also knows that standard mathematical functions such as Log and Sin have numerical values when their arguments are numerical.

Log[2+x] contains , and is therefore not a numeric quantity.
In[4]:=
Click for copyable input
Out[4]=
Many functions implicitly use the numerical values of numeric quantities.
In[5]:=
Click for copyable input
Out[5]=

In general, Mathematica assumes that any function which has the attribute NumericFunction will yield numerical values when its arguments are numerical. All standard mathematical functions in Mathematica already have this attribute. But when you define your own functions, you can explicitly set the attribute to tell Mathematica to assume that these functions will have numerical values when their arguments are numerical.

New to Mathematica? Find your learning path »
Have a question? Ask support »