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regarding to validation rules i have lot of doubts

i dont know the meaning of the some symbols int he validation rules like ^(exponential) but this is used in the text fields. what is the meaning of this and [0-9]&[a-z] and like those some are not understanding plz give the some explanation regarding these
James LoghryJames Loghry
The symbols you're referring to are specific to regular expression methods.  In partiular, 0-9 means that you're looking for a 1-digit number between  0 and 9, postceded with an ampersand (&), postceded with a lowercase letter between a and z. 

Furthermore, you don't have to use the regex formula in validation rules, but can also rely on other methods and functions, such as demonstrated in the examples on this page:

i want all details of the those short cuts bro. i found the all functions and details i able to build my own validation rules . where can i found those details