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Mathematica > Core Language > Procedural Programming > Looping Constructs >

Built-in Mathematica Symbol

Do

Do[expr, {i_max}]
evaluates expr i_max times.

Do[expr, {i, i_max}]
evaluates expr with the variable i successively taking on the values 1 through i_max (in steps of 1).

Do[expr, {i, i_min, i_max}]
starts with i=i_min.

Do[expr, {i, i_min, i_max, di}]
uses steps di.

Do[expr, {i, {i₁, i₂, ...}}]
uses the successive values i₁, i₂, ....

Do[expr, {i, i_min, i_max}, {j, j_min, j_max}, ...]
evaluates expr looping over different values of j, etc. for each i.

Do[expr, spec] first evaluates spec, then localizes the variable specified, and successively assigns values to it, each time evaluating expr.

In Do[expr, spec₁, spec₂] is effectively equivalent to Do[Do[expr, spec₂], spec₁].

Print the first four squares:

n goes from -3 to 5 in steps of 2:

Print the first four squares:

n goes from -3 to 5 in steps of 2:

Evaluate Print[x] twice:

The step can be negative:

The values can be symbolic:

Loop over i and j, with j running up to i-1:

The body can be a procedure:

Break breaks out of Do:

Continue continues the loop, without executing the rest of the body:

Give a list of values to iterate over:

Generate a symbolic continued fraction:

Build up a list of primes:

Alternatively use Reap and Sow:

Implement backsubstitution:

Implement LU triangular decomposition of matrices:

The selection sort algorithm:

Equivalent loops: