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By Garrido M. I., Jaramillo J. A.

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Additional resources for A Banach-Stone Theorem for Uniformly Continuous Functions

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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.

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A Banach-Stone Theorem for Uniformly Continuous Functions by Garrido M. I., Jaramillo J. A.

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