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A Karnaugh map (KM or K-map) is a diagram that can be used to simplify a Boolean algebra expression. Maurice Karnaugh introduced it in 1953 [ 1 ] [ 2 ] as a refinement of Edward W. Veitch 's 1952 Veitch chart , [ 3 ] [ 4 ] which itself was a rediscovery of Allan Marquand 's 1881 logical diagram [ 5 ] [ 6 ] (aka.
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Karnaugh map of AB ∨ A C ∨ BC. Omitting the red rectangle does not change the covered area. Omitting the red rectangle does not change the covered area. In Boolean algebra , the consensus theorem or rule of consensus [ 1 ] is the identity:
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A linear map : is called a positive map if maps positive elements to positive elements: (). Any linear map ϕ : A → B {\displaystyle \phi :A\to B} induces another map id ⊗ ϕ : C k × k ⊗ A → C k × k ⊗ B {\displaystyle {\textrm {id}}\otimes \phi :\mathbb {C} ^{k\times k}\otimes A\to \mathbb {C} ^{k\times k}\otimes B}
It graphically depicts the ratios of the three variables as positions in an equilateral triangle. It is used in physical chemistry, petrology, mineralogy, metallurgy, and other physical sciences to show the compositions of systems composed of three species. Ternary plots are tools for analyzing compositional data in the three-dimensional case.
English: A 2 variable, 2x2 Karnaugh map with minterms 1, 2, 4. Date: 25 December 2006: Source: Own work . This W3C-unspecified vector image was created with Inkscape ...
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
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