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Examples for

Computational Sciences

Search for computational information ranging from P and NP over DTIME to cellular automata. Wolfram|Alpha offers data from the most simple to the advanced in computational science. Detailed information is available about complexity classes, fractals, data, hashing, Turing machine computational models and many other models and schemes of computer science.

Cellular Automata

Specify and compute information about cellular automata.

Compute properties of an elementary cellular automaton:

rule 110

Specify the range and number of colors:

CA 3-color, range 1, rule 4594122302107

Specify a totalistic cellular automaton:

3-color code 1086
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Turing Machines

Specify and visualize various Turing machines based on a given rule or a set of initial conditions.

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
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Fractals

Compute and visualize various fractals and associated sets.

Analyze a fractal:

Koch snowflakeSierpinski gasketHaferman carpet
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Substitution Systems

Analyze or specify a substitution system.

Analyze a substitution system:

substitution system 0->10, 1->01substitution system 1->2, 2->31, 3->24, 4->15, 5->2

Specify a neighbor-dependent system:

substitution system 01->2, 2->012, 1->12
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Computational Complexity

Compare and contrast computational complexity classes.

Get information about a complexity class:

non-deterministic polynomial time

Compare complexity classes:

NC vs NLINSPACE
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Image Processing

Process images by detecting features, applying filters or performing various other 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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RELATED EXAMPLES

  • Boolean Algebra
  • Mathematics
  • Web & Computer Systems
  • Wolfram Language
    • Algebraic Codes

    Analyze and compute information about algebraic codes.

    Analyze an algebraic code:

    cyclic code 36, 2

    Find codes with a given level of error correction:

    codes that can correct 7 errors
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    Hashing

    Compute hash code digests and checksums.

    Compute a hash code for a string:

    Adler 32 "inverse cosine"MD2 "Pack my box with five dozen liquor jugs."MD5 "A quick brown fox jumps over the lazy dog."
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