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EXAMPLE 49
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list = {{a, b, c}, {d, e, f},{g, h, i}}; TableForm[list, TableHeadings Automatic] 1 1 a 2 d 2 b e 3 c f
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list = {{a, b, c}, {d, e, f},{g, h, i}}; TableForm[list, TableHeadings {{"Row1","Row2","Row3"}, {"Column1","Column2","Column3"}}] Column1 Row1 a Row2 d Row3 g
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Column2 b e h
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list = {{a, b, c}, {d, e, f}, {g, h, i}}; TableForm[list, TableHeadings {{"Row1","Row2","Row3"}, {"Column1","Column2","Column3"}},
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TableAlignments Center]
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Column1 Row1 Row2 Row3
EXAMPLE 52
Column2 b e h
Column3 c f i
a d g
TableForm[list, TableHeadings {None, {"Column1","Column2","Column3"}}, TableAlignments Center] Column1 a d g Column2 b e h Column3 c f i
TableForm[list,TableHeadings {{"Row1","Row2","Row3"}, None},
TableAlignments Center] Row1 a Row2 d Row3 g b e h c f i
TableDirections is an option that determines how the entries of the table should be placed. If list represents a two-dimensional nested list, then TableDirections Column prints the table with the first element of each inner list in the first column, the second element of each inner list in the second column, and so forth. (This is the default.) TableDirections Row interchanges the positions of the columns with the rows.
EXAMPLE 53
list = Array[a, {3, 4}]
{{a[1, {a[3,
1], a[1, 2], a[1, 3], a[1, 4]}, {a[2, 1], a[2, 2], a[2, 3], a[2, 4]}, 1], a[3, 2], a[3, 3], a[3, 4]}}
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TableForm[list, TableDirections Column] a[1, 1] a[1, 2] a[1, 3] a[1, 4] a[2, 1] a[2, 2] a[2, 3] a[2, 4] a[3, 1] a[3, 2] a[3, 3] a[3, 4] TableForm[list, TableDirections Row] a[1, 1] a[2, 1] a[3, 1] a[1, 2] a[2, 2] a[3, 2] a[1, 3] a[2, 3] a[3, 3] a[1, 4] a[2, 4] a[3, 4]
The elements a[1, 1], a[2, 1], and a[3, 1] form the first row. The elements a[1, 1], a[2, 1], and a[3, 1] form the first column.
By default, Mathematica prints real numbers to a specified number of significant digits. So numbers that vary in magnitude will appear to have different formats. The command PaddedForm allows the output of a calculation to be precisely formatted.
PaddedForm[expression, n] prints the value of expression leaving space for a total of n digits. This form of the command can be used for integers or real number approximations. Note: The decimal point is not counted as a position. PaddedForm[expression, {n, f}] prints the value of expression leaving space for a total of n digits, f of which are to the right of the decimal point. The fractional portion of the number is rounded if any digits are deleted.
EXAMPLE 54
a = 123.456789; PaddedForm[a, 12] 123.456789 PaddedForm[a, 20] 123.456789 PaddedForm[a, {20, 3}] 123.457
14 spaces to the left of the number, the third decimal is rounded to 7. 11 spaces to the left of the number. 3 spaces to the left of the number.
EXAMPLE 55 The following prints a table of values of a polynomial p(x) along with its corresponding value of x. First we will print the table using the standard TableForm command.
p[x_] = x5 3 x4 + 2 x3 7 x + 12; list = Table[{x, p[x]},{x, 3, 3, .5}];
TableForm[list] 3. 2.5 2. 1.5 1. 0.5 0. 0.5 1. 1.5 2. 2.5 3. 507. 216.594 70. 7.03125 13. 15.0313 12. 8.59375 5. 0.65625 2. 6.21875 45.
Lists
Now we use PaddedForm to pad the entire table.
PaddedForm[TableForm[list],{10, 6}] 3.000000 2.500000 2.000000 1.500000 1.000000 0.500000 0.000000 0.500000 1.000000 1.500000 2.000000 2.500000 3.000000 507.000000 216.594000 70.000000 7.031000 13.000000 15.031000 12.000000 8.594000 5.000000 0.656000 2.000000 6.219000 45.000000
If we wish to format the individual columns differently for a more customized appearance, we can pad the individual entries of the list, rather than the whole table.
list = Table[{PaddedForm[x, {5, 1}], PaddedForm[p[x], {10, 3}]}, {x, 3, 3, .5}];
TableForm[list] 3.0 2.5 2.0 1.5 1.0 0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 507.000 216.594 70.000 7.031 13.000 15.031 12.000 8.594 5.000 0.656 2.000 6.219 45.000
Spacing between rows and columns can be controlled with TableSpacing. This specifies the number of spaces to put between entries in each direction. TableSpacing {rowspaces, columnspaces} rowspaces specifies the number of blank lines between successive rows of the table; columnspaces specifies the number of blank characters between successive columns.
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