# Is there a math symbol that stands for becomes?

1. Jun 17, 2012

### TrevorRyan

Just curious because it would really work into a few problems im doing

2. Jun 17, 2012

### slider142

What is the context?
Barred arrow notation shows the result of applying a function to the object on the left of the arrow. An example would be:
$$x \mapsto x^2 + 4$$
which is read as "x is mapped to x squared plus 4."

3. Jun 17, 2012

### Bob S

How about $\Longrightarrow \text { or } \Rightarrow$ ?

4. Jun 17, 2012

### micromass

Got any concrete example??

5. Jun 18, 2012

### algebrat

Yeah, show us what you want to use it for.
I put in another vote for when $f:X\to Y$, then for any $x\in X$,

$x\mapsto y$, where $y\in Y$.

This is for elements. Bob S's version may be better for statements. But if you show us an example, we can be sure that we mean what we mean.

6. Jun 19, 2012

### 20Tauri

I would go with the side arrow, although depending on what you're using it for, it may be an abuse of notation. I usually go with the style of arrow Bob S suggested, although I think it means "implies" if you're strictly adhering to convention.

7. Jun 19, 2012

### Curious3141

The tilde symbol ~ can mean "becomes asymptotically equal to", e.g. $f(x)$ ~ $g(x) \Rightarrow \lim_{x \rightarrow \infty} \frac{f(x)}{g(x)} = 1$.