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Table

Table
generates a list of copies of expr.
Table
generates a list of the values of expr when i runs from 1 to .
Table
starts with .
Table
uses steps di.
Table
uses the successive values , , ....
Table
gives a nested list. The list associated with i is outermost. »
MORE INFORMATION
  • You can use Table to build up vectors, matrices, tensors and other arrays.
  • Table uses the standard Mathematica iteration specification.
  • Table evaluates its arguments in a nonstandard way.
  • Table first evaluates spec, then localizes the variable specified, and successively assigns values to it, each time evaluating expr.
  • Table effectively uses Block to localize values or variables.
EXAMPLESCLOSE ALL
Basic Examples   (6)
A table of the first 10 squares:
A table with running from 0 to 20 in steps of 2:
A list of 10 's:
Make a 4×3 matrix:
Plot a table:
Arrange a table in a column:
A table of the first 10 squares:
In[1]:=
Click for copyable input
Out[1]=
 
A table with running from 0 to 20 in steps of 2:
In[1]:=
Click for copyable input
Out[1]=
 
A list of 10 's:
In[1]:=
Click for copyable input
Out[1]=
 
Make a 4×3 matrix:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]//MatrixForm=
 
Plot a table:
In[1]:=
Click for copyable input
Out[1]=
 
Arrange a table in a column:
In[1]:=
Click for copyable input
Out[1]=
Scope   (5)
The index in the table can run backwards:
Make a triangular array:
Make a 3x2x4 array, or tensor:
Iterate over an existing list:
Make an array from existing lists:
Generalizations & Extensions   (2)
The table index can have symbolic values:
The variables need not just be symbols:
Applications   (5)
Make a table of graphics:
Generate the corners of a polygon:
Make Pascal's triangle:
Properties & Relations   (13)
Print the values of the table index while the table is being generated:
Monitor the values by showing them in a temporary cell:
Range gives the sequence of values of a table iterator:
Do evaluates the same sequence of expressions as Table, but does not return them:
Sum effectively applies Plus to results from Table:
Array iterates over successive integers:
Map applies a function to successive elements in a list:
Table can substitute successive elements in a list into an expression:
Using multiple iteration specifications is equivalent to nesting Table functions:
Feed in parameters for tables:
Use Apply to splice a complete iterator specification into Table:
With can insert the specification for a single iterator:
Possible Issues   (6)
For some step sizes, output from Table may not include the upper limit given:
Table requires iterator specifications to be given explicitly:
Table normally reevaluates at each step:
The Evaluate is needed to force evaluation of the table before it is fed to Plot:
Values of Table variables do not get substituted inside held expressions:
Use With to insert values:
Formatting wrappers such as Grid give expressions that are no longer lists:
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