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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.
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 ...
An example would be showing one variable as a choropleth map, with another variable shown as proportional symbols on top of the choropleth. A correlated symbol map represents two or more variables in the same thematic map layer, using the same visual variable, designed in such a way as to show the relative combination of the two variables. A ...
A multilinear map of one variable is a linear map, and of two variables is a bilinear map. More generally, for any nonnegative integer , a multilinear map of k variables is called a k-linear map. If the codomain of a multilinear map is the field of scalars, it is called a multilinear form.
Those 16 numbers correspond to the minterms of Image:K-map minterms.svg used in a 4-variable [[:en:Karnaugh map File usage No pages on the English Wikipedia use this file (pages on other projects are not listed).
The different variables are combined to form coordinates in the phase space and they are displayed using glyphs and coloured using another scalar variable. [ 1 ] A scatter plot , also called a scatterplot , scatter graph , scatter chart , scattergram , or scatter diagram , [ 2 ] is a type of plot or mathematical diagram using Cartesian ...
Because a + b + c = K for all substances being graphed, any one variable is not independent of the others, so only two variables must be known to find a sample's point on the graph: for instance, c must be equal to K − a − b. Because the three numerical values cannot vary independently—there are only two degrees of freedom—it is ...
"For more than three variables, the basic illustrative form of the Venn diagram is inadequate. Extensions are possible, however, the most convenient of which is the Karnaugh map, to be discussed in Chapter 6." [13] (p 64) In Chapter 6, section 6.4 "Karnaugh map representation of Boolean functions" they begin with: