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Summary
| Description |
English: An example to demonstrate the construction of an integral using the Riemannian (blue) and Lebesgue (red) methods. For the Riemannian case, the domain is partitioned into eight intervals and bars are drawn to the function; the integral estimate is found by summing, over all bars, the product of the interval width and the bar height. For the Lebesgue integral, eight distinct target values in the range cause a partitioning of the domain into eight (not necessarily connected) subsets, with bars held beneath the function; the (pre-)integral is found by summing, over all domain subsets, the measure of each domain subset multiplied by its corresponding target value. |
| Date | |
| Source | Adapted from the output of ourworldindata.org. Original data source is Johns Hopkins University CSSE COVID-19 Data. |
| Author | Original chart produced by the ourworldindata.org COVID-19 Data Explorer using JHU-CSSE data. Duplicated and modifed by Holderbp to indicate examples of Riemannian and Lebesgue integration. SVG version of already uploaded png |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:34, 10 March 2022 | | 819 × 1,034 (439 KB) | Holderbp | Uploaded a work by Original chart produced by the ourworldindata.org COVID-19 Data Explorer using JHU-CSSE data. Duplicated and modifed by Holderbp to indicate examples of Riemannian and Lebesgue integration. SVG version of already uploaded png from Adapted from the output of ourworldindata.org. Original data source is Johns Hopkins University CSSE COVID-19 Data. with UploadWizard |
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