GKW Operator
GKW may refer to: * Gauss–Kuzmin–Wirsing operator * Greenock West railway station, in Scotland * Guest Keen Williams Guest Keen Williams is an Indian engineering firm started in Howrah, West Bengal in the 1920s by Henry William. Core business Its main business was manufacturing nuts and fasteners in collaboration with GKN (Guest Keen and Nettlefolds of Birmin ...

Gauss–Kuzmin–Wirsing Operator
In mathematics, the Gauss–Kuzmin–Wirsing operator is the transfer operator of the Gauss map that takes a positive number to the fractional part of its reciprocal. (This is not the same as the Gauss map in differential geometry.) It is named after Carl Gauss, Rodion Kuzmin, and Eduard Wirsing. It occurs in the study of continued fractions; it is also related to the Riemann zeta function. Relationship to the maps and continued fractions The Gauss map The Gauss function (map) ''h'' is : :h(x)=1/x-\lfloor 1/x \rfloor. where \lfloor 1/x \rfloor denotes the floor function. It has an infinite number of jump discontinuities at ''x'' = 1/''n'', for positive integers ''n''. It is hard to approximate it by a single smooth polynomial. Operator on the maps The Gauss–Kuzmin–Wirsing operator G acts on functions f as : fx) = \int_0^1 \delta(x-h(y)) f(y) d y = \sum_^\infty \frac f \left(\frac \right). Eigenvalues of the operator The first eigenfunction of this op ...
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Greenock West Railway Station
Greenock West railway station is a station in Greenock, Scotland, located on the Inverclyde Line which runs from Gourock to Glasgow Central. The route is currently operated by ScotRail under the auspices of Strathclyde Partnership for Transport. Each service to and from Glasgow on the Inverclyde Line stops at this station. History Starting with in 1812, Glasgow soon had Clyde steamer services on the River Clyde, River and Firth of Clyde. From 1841 the Caledonian Railway's Glasgow, Paisley and Greenock Railway, Glasgow, Paisley and Greenock line offered quicker travel to its Greenock Central railway station, Greenock Cathcart Street terminus, about 5 minutes walk from Steamboat Quay (Custom House Quay) by a narrow squalid lane. The 1865 Greenock and Wemyss Bay Railway, branch line to Wemyss Bay had mixed fortunes, from then the Glasgow and South Western Railway (G&SWR) competed with the Caledonian for parliamentary approvals. In 1869 G&SWR services began to Greenock Princes Pier ra ...
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