Manipulating Elements of Lists
Many of the most powerful list manipulation operations in
Mathematica treat whole lists as single objects. Sometimes, however, you need to pick out or set individual elements in a list.
You can refer to an element of a
Mathematica list by giving its "index". The elements are numbered in order, starting at 1.
| {a,b,c} | a list |
| Part[list,i] or list[[i]] | the ith element of list (the first element is list[[1]]) |
| Part[list,{i,j,...}] or list[[{i,j,...}]] | a list of the ith, jth, ... elements of list |
| Part[list,i;;j] | a list of the ith through jth elements of list |
Operations on list elements.
This extracts the second element of the list.
| Out[1]= |  |
|
This extracts a list of elements.
| Out[2]= |  |
|
This assigns the value of v to be a list.
| Out[3]= |  |
|
You can extract elements of v.
| Out[4]= |  |
|
By assigning a variable to be a list, you can use
Mathematica lists much like "arrays" in other computer languages. Thus, for example, you can reset an element of a list by assigning a value to
v[[i]].
| Part[v,i] or v[[i]] | extract the ith element of a list |
| Part[v,i]=value or v[[i]]=value | reset the ith element of a list |
Array-like operations on lists.
| Out[5]= |  |
|
This resets the third element of the list.
| Out[6]= |  |
|
Now the list assigned to v has been modified.
| Out[7]= |  |
|
