Computational Sciences
compute properties of an elementary cellular automaton
rule 110
specify range and number of colors
CA 3-color, range 1, rule 4594122302107
specify a totalistic cellular automaton
3-color code 1086
analyze a substitution system
substitution system 0->10, 1->01
substitution system 1->2, 2->31, 3->24, 4->15, 5->2
specify a neighbor-dependent system
substitution system 01->2, 2->012, 1->12
compute properties of a Turing machine
Turing machine 2506
specify initial conditions
evolve TM 120597441632 on random tape, width = 5
name a famous Turing machine
Busy Beaver 3-states 3-colors
get information about a complexity class
non-deterministic polynomial time
compare complexity classes
NC vs NLINSPACE
Ackermann Function
evaluate the Ackermann function
ackermann[2,3]
what is ackermann 4,1?
ack(2,ack(2,1))
analyze an algebraic code
cyclic code 36, 2
find codes with a given level of error correction
codes that can correct 7 errors
analyze a fractal
Koch snowflake
Sierpinski gasket
Haferman carpet
get usage information about a Mathematica function
StringTrim
find options for a function
Dynamic options
find groups of functions
mathematica plotting functions
apply a morphological operator to an image
apply bottom-hat transform to trumpet image
detect features of an image
find features of shark image with radius 0.5
perform color processing