I don't think that first image helps but that second image is great. That gets me excited and makes it look intuitive. Seriously, put that on the landing page.
Edit: Also that first example (from [1]) doesn't work for me
In[1]:= 1 + 2 - x * 3 x / y
Out[1]= 3 - 3 x ^ 2 / y
Is this a difference in the cli? I also notice I can't get any graphics there. No connection to matplotlib?
Edit: Also that first example (from [1]) doesn't work for me
In[1]:= 1 + 2 - x * 3 x / y
Out[1]= 3 - 3 x ^ 2 / y
Is this a difference in the cli? I also notice I can't get any graphics there. No connection to matplotlib?
In[3]:= Plot[{Sin[x], Cos[x], Tan[x]}, {x, -3Pi, 3Pi}]
Out[3]= -Graphics-