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ggplot2 is an open-source data visualization package for the statistical programming language R.Created by Hadley Wickham in 2005, ggplot2 is an implementation of Leland Wilkinson's Grammar of Graphics—a general scheme for data visualization which breaks up graphs into semantic components such as scales and layers. ggplot2 can serve as a replacement for the base graphics in R and contains a ...
In decision problem versions of the art gallery problem, one is given as input both a polygon and a number k, and must determine whether the polygon can be guarded with k or fewer guards. This problem is ∃ R {\displaystyle \exists \mathbb {R} } -complete , as is the version where the guards are restricted to the edges of the polygon. [ 10 ]
Art Gallery Theorems and Algorithms is a mathematical monograph on topics related to the art gallery problem, on finding positions for guards within a polygonal museum floorplan so that all points of the museum are visible to at least one guard, and on related problems in computational geometry concerning polygons.
An explosion sank a sanctioned Russian cargo ship in the Mediterranean Sea on Monday night, Russian authorities said, leaving two crew members missing. The crisis center of the Russian Foreign ...
Word problem for context-sensitive language [35] Intersection emptiness for an unbounded number of regular languages [32] Regular Expression Star-Freeness [36] Equivalence problem for regular expressions [21] Emptiness problem for regular expressions with intersection. [21] Equivalence problem for star-free regular expressions with squaring. [21]
Previous real estate agents recommended converting the space to a garage for a classic car collection. The previous owners attempted to fashion the shelter into a Tier IV data center — the ...
You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.
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