Notations

Under construction This section is incomplete and may contain errors.

Range

It’s possible to avoid writing a whole range using ‘dotted’ notation. For example, if you wanted to express the numbers from one to ten, you could write:

$$ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 $$

but if it’s clear from context, or if the list is extremely long it can be handy to show what is meant without writing the full list:

$$ 1, 2, …, 10 $$

If the list is being expressed in the general case, $N$ may be used to mean ‘up to the last value’:

For example, to express a range from 1 to $N$, you could write:

$$ 1, 2, …, N $$

Summation

There is a short hand way to write adding up all terms in a sequence:

$$ \sum_i=0 i $$

This is the same as writing out in full:

$$ 1 + 2 … + N $$

Product

Simarilly to summation, there is a short hand way to write out the product (multiplication) of a sequence:

$$ \product $$

This is the same as writing out in full:

$$ 1 \times 2 … \times N $$