2-Variable Boolean Operation -- its use in Pattern Formation
In this paper the theory of 2-Variable Boolean Operation (2-VBO) has been discussed on a pair of n-bit strings. 2-VBO serves to bring out the relation between numbers which when plot on a 2-D surface form interesting patterns; patterns that may be fixed, periodic, chaotic or complex. Some of these p...
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| creator | Sahoo, Sudhakar Mohanty, Ipsita Chowdhary, Garisha Panigrahi, Arpit |
| description | In this paper the theory of 2-Variable Boolean Operation (2-VBO) has been
discussed on a pair of n-bit strings. 2-VBO serves to bring out the relation
between numbers which when plot on a 2-D surface form interesting patterns;
patterns that may be fixed, periodic, chaotic or complex. Some of these
patterns represent natural fractals. This paper also provides mathematical
analysis corresponding to each of the obtained patterns, which would aid to
understanding their formation. 2-VBO is an attempt towards the production and
classification of patterns which represent various mathematical models and
naturally occurring phenomena. |
| doi_str_mv | 10.48550/arxiv.1008.2530 |
| format | Article |
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discussed on a pair of n-bit strings. 2-VBO serves to bring out the relation
between numbers which when plot on a 2-D surface form interesting patterns;
patterns that may be fixed, periodic, chaotic or complex. Some of these
patterns represent natural fractals. This paper also provides mathematical
analysis corresponding to each of the obtained patterns, which would aid to
understanding their formation. 2-VBO is an attempt towards the production and
classification of patterns which represent various mathematical models and
naturally occurring phenomena.</description><identifier>DOI: 10.48550/arxiv.1008.2530</identifier><language>eng</language><subject>Physics - Cellular Automata and Lattice Gases ; Physics - Chaotic Dynamics ; Physics - Pattern Formation and Solitons</subject><creationdate>2010-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1008.2530$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1008.2530$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Sahoo, Sudhakar</creatorcontrib><creatorcontrib>Mohanty, Ipsita</creatorcontrib><creatorcontrib>Chowdhary, Garisha</creatorcontrib><creatorcontrib>Panigrahi, Arpit</creatorcontrib><title>2-Variable Boolean Operation -- its use in Pattern Formation</title><description>In this paper the theory of 2-Variable Boolean Operation (2-VBO) has been
discussed on a pair of n-bit strings. 2-VBO serves to bring out the relation
between numbers which when plot on a 2-D surface form interesting patterns;
patterns that may be fixed, periodic, chaotic or complex. Some of these
patterns represent natural fractals. This paper also provides mathematical
analysis corresponding to each of the obtained patterns, which would aid to
understanding their formation. 2-VBO is an attempt towards the production and
classification of patterns which represent various mathematical models and
naturally occurring phenomena.</description><subject>Physics - Cellular Automata and Lattice Gases</subject><subject>Physics - Chaotic Dynamics</subject><subject>Physics - Pattern Formation and Solitons</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8FKAzEURbNxIa17V5IfyJjJy8sk0I0Wq0KhXRS3w2vmBQLTmZIZRf9eWl2dxYXDPULc17qyHlE_UvnOX1Wtta8Mgr4VK6M-qGQ69iyfx7FnGuTuzIXmPA5SKZnnSX5OLPMg9zTPXAa5Gcvpui_FTaJ-4rt_LsRh83JYv6nt7vV9_bRV5FArTCGaY1MHQPRNh95EYE8WHDAZDl3wGMEZ6zgkYtfFaL2BZAESQ2NhIR7-tNf37bnkE5Wf9lLRXirgF22bQFs</recordid><startdate>20100815</startdate><enddate>20100815</enddate><creator>Sahoo, Sudhakar</creator><creator>Mohanty, Ipsita</creator><creator>Chowdhary, Garisha</creator><creator>Panigrahi, Arpit</creator><scope>GOX</scope></search><sort><creationdate>20100815</creationdate><title>2-Variable Boolean Operation -- its use in Pattern Formation</title><author>Sahoo, Sudhakar ; Mohanty, Ipsita ; Chowdhary, Garisha ; Panigrahi, Arpit</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a650-5f9c2b71935587d582c3e8a4363ea2e9d985c36246e9fae6dcc4823f433fe3743</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Physics - Cellular Automata and Lattice Gases</topic><topic>Physics - Chaotic Dynamics</topic><topic>Physics - Pattern Formation and Solitons</topic><toplevel>online_resources</toplevel><creatorcontrib>Sahoo, Sudhakar</creatorcontrib><creatorcontrib>Mohanty, Ipsita</creatorcontrib><creatorcontrib>Chowdhary, Garisha</creatorcontrib><creatorcontrib>Panigrahi, Arpit</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Sahoo, Sudhakar</au><au>Mohanty, Ipsita</au><au>Chowdhary, Garisha</au><au>Panigrahi, Arpit</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>2-Variable Boolean Operation -- its use in Pattern Formation</atitle><date>2010-08-15</date><risdate>2010</risdate><abstract>In this paper the theory of 2-Variable Boolean Operation (2-VBO) has been
discussed on a pair of n-bit strings. 2-VBO serves to bring out the relation
between numbers which when plot on a 2-D surface form interesting patterns;
patterns that may be fixed, periodic, chaotic or complex. Some of these
patterns represent natural fractals. This paper also provides mathematical
analysis corresponding to each of the obtained patterns, which would aid to
understanding their formation. 2-VBO is an attempt towards the production and
classification of patterns which represent various mathematical models and
naturally occurring phenomena.</abstract><doi>10.48550/arxiv.1008.2530</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Cellular Automata and Lattice Gases Physics - Chaotic Dynamics Physics - Pattern Formation and Solitons |
| title | 2-Variable Boolean Operation -- its use in Pattern Formation |
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