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# User:MathMartin/Styleguide

 Contents

## Language

"An unitary" or "an union" or "an university" were used in the 18th century, but now "a" rather than "an" is standard when the initial sound is "yoo".

## Naming convention

$N(x) := \sum_{j=0}^{k} a_{j} \prod_{i=0}^{j} (x - x_{i-1})$

## HTML math

### Minus sign

Use [−1,1] instead of [-1,1]. The little hyphen is too short to be a minus sign.

## TeX

### Colon

$f\colon (0,1)\rightarrow\mathbb{R}$

$f:(0,1)\rightarrow\mathbb{R}$

### Mapping arrows

When you want to define the domain and codomain of the mapping use

$\mathrm{sq}:\mathbb R\to\mathbb R$

but when you define the actual mapping function use

$x\mapsto x^2.$

### Standard function names

Use

eix = cosx + isinx

eix = cosx + isinx

to prevent the function names from looking like a variable.

### Imaginary unit

The imaginary unit i should not be confused with the common variable i. So to make the imaginary unit look different it is better to write

eix = cosx + isinx

than

eix = cosx + isinx

### Embedded fractions

When a fraction is in a superscript or otherwise deeply embedded within some other notation, it is often more legible like this

$e^{-x^2/2}$

than like this

$e^{-x^2 \over 2}$

### Spacing

#### Integrals

Use

$\int f(x)\, dx$

rather than

$\int f(x) dx$

#### Sets defined by using braces

This is another place where small spacing adjustments make notation look better. This

$\{\,f(x) : 0

is better than this

{f(x):0 < x < 2}
Last updated: 05-30-2005 06:04:02
03-10-2013 05:06:04