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Mathematica > Core Language > List Manipulation > Constructing Lists >

Mathematica > Data Manipulation > Handling Arrays of Data > Constructing Lists >

Built-in Mathematica Symbol

Range

Range[i_max]
generates the list {1, 2, ..., i_max}.

Range[i_min, i_max]
generates the list {i_min, ..., i_max}.

Range[i_min, i_max, di]
uses step di.

Range starts from i_min, and successively adds increments of di until the result is greater than i_max.

Range uses the standard Mathematica iteration specification, as applied to a single variable.

Use a step of 2:

Use a negative step:

Use an exact numeric-valued step:

Use a machine-number step:

Use a precision-24 step:

Range of very large numbers:

Use a symbolic step:

Produce a geometric sequence:

Form a polynomial from coefficients:

Form a random permutation:

Find an inverse permutation:

Range[i_min, i_max, di] is equivalent to Table[i, {i_min, i_max, di}]:

Use Range or Span (;;) as Part specification:

For some step sizes, Range may not include the upper limit given:

Even though the lower limit was exact, the inexact step makes the first element inexact: