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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 ]
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 ...
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]
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The parents of a 13-year-old girl who was run over by a suicidal driver in Malibu in 2010 are appealing to California Gov. Gavin Newsom to stop the felon from being released on parole.
Fortune 500 companies, burgeoning crypto firms and individual billionaires are racing to help underwrite Donald Trump’s upcoming inauguration – pledging seven-figure donations apiece to next ...
"To my Chicago Cubs, National Baseball Hall of Fame, the city of Chicago, and all my loyal fans, I want to share an update on my prostate cancer," Sandberg wrote in a statement on Tuesday.
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.
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