2.2.6 Building Lists from Functions
Making lists from functions.
This makes a list of 5 elements, each of the form p[i].
In[1]:= Array[p, 5]
Out[1]=
Here is another way to produce the same list.
In[2]:= Table[p[i], {i, 5}]
Out[2]=
This produces a list whose elements are .
In[3]:= Array[ # + #^2 &, 5]
Out[3]=
This generates a matrix whose entries are m[i, j].
In[4]:= Array[m, {2, 3}]
Out[4]=
This generates a matrix whose elements are the squares of the sums of their indices.
In[5]:= Array[Plus[##]^2 &, {3, 3}]
Out[5]=
NestList and FoldList were discussed in Section 2.2.2. Particularly by using them with pure functions, you can construct some very elegant and efficient Mathematica programs.
This gives a list of results obtained by successively differentiating with respect to .
In[6]:= NestList[ D[#, x]&, x^n, 3 ]
Out[6]=
