By Garrido M. I., Jaramillo J. A.
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Additional resources for A Banach-Stone Theorem for Uniformly Continuous Functions
Subsequent cholera epidemics in – and – produced similarly large death tolls, but the water-borne cause of the disease was unknown until when Dr John Snow produced his famous dot map (Snow, ) showing deaths due to cholera clustered around the Broad Street pump in London. his was indeed a landmark graphic discovery, but it occurred at the end of the period, roughly – , which marks a high point in the application of thematic cartography to human (social, medical, ethnic) topics.
He multiple images depict the recordings of sunpots from October until December of that year. he large key in the upper let identiﬁes seven groups of sunspots by the letters A–G. hese groups are similarly identiﬁed in the smaller images, arrayed let to right and top to bottom below. Another noteworthy example (Fig. ) shows a graphic by Michael Florent van Langren[–], a Flemish astronomer to the court of Spain, believed to be the ﬁrst visual representation of statistical data (Tute, , p.
Less well known is the role that visualization and graphing played in his contributions and discoveries. Galton’s statistical insight (Galton, ) – that, in a bivariate (normal) distribution, (say, height of a child against height of parents), (a) he isolines of equal frequency would appear as concentric ellipses and (b) he locus of the (regression) lines of means of y x and of x y were the conjugate diameters of these ellipses – was based largely on visual analysis from the application of smoothing to his data.
A Banach-Stone Theorem for Uniformly Continuous Functions by Garrido M. I., Jaramillo J. A.