Table

An alias for Tabulate (the preferred name) that additionally accepts Mathematica-style iterator specs, e.g. Table(i^2, {i, 1, n}), and the equivalent tuple spelling Table(i^2, (i, 1, n)).

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Table(expr, {i, lo, hi})$[expr]_{i=lo}^{hi}$, $expr$ evaluated at each value of $i$ from $lo$ to $hi$.

Table(expr, {i, lo, hi, step})as above, stepping by $step$ instead of 1.

Table(f, n)the same as Tabulate(f, n) — $f$ applied to each index from 1 to $n$.

Typed signatures

Type	Package	Applies
(function, integer, integer?) -> collection	compute-engine	always

Domain: Collections

Details

• {i, lo, hi} is [Set, i, lo, hi] in MathJSON, read here as an iterator spec rather than a set.
• Holds its body: $expr$ is evaluated fresh at each value of $i$, not evaluated once and reused.

Examples

Basic #

Table of $i^2$ for $i$ from 1 to 5

live ↗

In$\mathrm{Table}(i^2, \lbrace i, 1, 5\rbrace)$Out$\bigl\lbrack1, 4, 9, 16, 25\bigr\rbrack$

Odd numbers from 1 to 9, stepping by 2

live ↗

In$\mathrm{Table}(i, \lbrace i, 1, 10, 2\rbrace)$Out$\bigl\lbrack1, 3, 5, 7, 9\bigr\rbrack$

Tabulating a bare symbol applies it to each index

live ↗

In$\mathrm{Tabulate}(x, 10)$Out$\bigl\lbrack x(1), x(2), x(3), x(4), x(5), x(6), x(7), x(8), x(9), x(10)\bigr\rbrack$

Scope #

The same shape of table with a plain function, like Tabulate

live ↗

In$\mathrm{Table}(\operatorname{\_1}↦\operatorname{\_1}^2, 5)$Out$\bigl\lbrack1, 4, 9, 16, 25\bigr\rbrack$

Properties #

A constant body is still evaluated once per index

live ↗

In$\mathrm{Table}(0, \lbrace i, 1, 3\rbrace)$Out$\bigl\lbrack0, 0, 0\bigr\rbrack$

About

Examples	5
Checked against	Wolfram Language 2 agree
Crosswalk	FungrimWolfram Language

See also: Tabulate, Map