Basic Examples

Compute
ψ(30)
:
[◼]
ChebyshevPsi
[30]
In[]:=
4Log[2]+3Log[3]+2Log[5]+Log[7]+Log[11]+Log[13]+Log[17]+Log[19]+Log[23]+Log[29]
Out[]=
Obtain a decimal approximation:
[◼]
ChebyshevPsi
[30]//N
In[]:=
28.4765
Out[]=
Plot
ψ(x)
from 0 to 30:
Plot
[◼]
ChebyshevPsi
[x],{x,0,30}
In[]:=
Out[]=
Compare
x
,
ψ(x)
, and
|x-ψ(x)|
:
Plotx,
[◼]
ChebyshevPsi
[x],Absx-
[◼]
ChebyshevPsi
[x],{x,0,30},PlotLegends{"x","ψ(x)","|x-ψ(x)|"}
In[]:=
x
ψ(x)
|x-ψ(x)|
Out[]=
Plot the ratio
ψ(x)
x
:
Plot
[◼]
ChebyshevPsi
[x]x,{x,0,100}
In[]:=
Out[]=