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Symbols · Relations

→ Arrow: tends to, maps to

Say it: “goes to”, “tends to”, “maps to”

What it means

In a limit, x → a means x approaches a. Between sets, f : A → B says the function f takes inputs from A to outputs in B. ↦ shows what a single input is sent to.

Read aloud in real formulas

Calculus

lim_{h→0} (f(x + h) − f(x)) / h

Aethel says

the limit as h goes to 0 of the quantity f of the quantity x plus h, minus f of x, over h

h goes to zero

Functions

x ↦ x²

Aethel says

x maps to x squared

the function sending x to x squared

Typing it

LaTeX
\to, \mapsto
Unicode
U+2192, U+21A6

Formulas that use it

Questions

How do you say → out loud?

It is usually read “goes to”, and also “tends to” or “maps to”.

What does → mean in maths?

In a limit, x → a means x approaches a. Between sets, f : A → B says the function f takes inputs from A to outputs in B. ↦ shows what a single input is sent to.

How do you type →?

In LaTeX, write \to, \mapsto. Its Unicode code point is U+2192, U+21A6.

Related symbols

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