Exponential functions

exponential_functions - a mathematical function that has this basic form: f(x)=bx

For example, a lock that has 4 slots each with 10 unique symbols has 104 different permutations (10×10×10×10=10000) which are 0000 through 9999 if the 10 unique symbols are 0 through 9 in the decimal numbering system. The graph of permutations per each amount of decimal number slots from 0 to infinity is f(x)=10x (where f(x) evaluates to the number of permutations per x amount of slots: 100=0;101=10;102=100, and so on to infinity / with no end).

Trivia Edit

The numbers tried on a combination lock can be expressed with regular expressions:

== lock.txt ==

Real estate lock: setting to number then pulling metal arch (not the switch left of the combo numbers)

012[0-9]
01[0-9]2
0[0-9]22
112[0-9]
11[0-9]2
1[0-9]22
212[0-9]
21[0-9]2
2[0-9]22
312[0-9]
31[0-9]2
3[0-9]22
412[0-9]
41[0-9]2
4[0-9]22

5[0-9][0-9][0-9]
6[0-9][0-9][0-9]
7[0-9][0-9][0-9]

812[0-9]
81[0-9]2
8[0-9]22
919[0-9]
91[0-9]2
9[0-9]22
[0-9]122
[0-9]222