# User:MathMartin/Styleguide

(Redirected from User:MathMartin/TeX Styleguide)

## 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

${\displaystyle N(x):=\sum _{j=0}^{k}a_{j}\prod _{i=0}^{j}(x-x_{i-1})}$

## HTML math

### Minus sign

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

## TeX

### Colon

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

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

### Mapping arrows

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

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

but when you define the actual mapping function use

${\displaystyle x\mapsto x^{2}.}$

### Standard function names

Use

${\displaystyle e^{\mathrm {i} x}=\cos x+\mathrm {i} \sin x}$

${\displaystyle e^{\mathrm {i} x}=cosx+\mathrm {i} sinx}$

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

${\displaystyle e^{\mathrm {i} x}=\cos x+\mathrm {i} \sin x}$

than

${\displaystyle e^{ix}=\cos x+i\sin x}$

### Embedded fractions

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

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

than like this

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

### Spacing

#### Integrals

Use

${\displaystyle \int f(x)\,dx}$

rather than

${\displaystyle \int f(x)dx}$

#### Sets defined by using braces

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

${\displaystyle \{\,f(x):0

is better than this

${\displaystyle \{f(x):0

Rate of change: The relationship between two numbers that are changing. To find it, you must divide. Formula: change in dependent variable/change in independent variable. Information by Daron Brown.

Probability: tells how likely something will happan. ex. The probability of a die landing on 4. Information by Daron Brown.

Equation: a math sentence that has an equal sign. ex. x + 3 = 10