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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

posterize galena image using 4 levels

 
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