File:Riemann vs lebesgue integration of serbian covid case data.png
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![File:Riemann vs lebesgue integration of serbian covid case data.png](https://upload.wikimedia.org/wikipedia/commons/thumb/6/68/Riemann_vs_lebesgue_integration_of_serbian_covid_case_data.png/475px-Riemann_vs_lebesgue_integration_of_serbian_covid_case_data.png?20220310140907)
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Depicts comparative examples of Riemann integration and Lebesgue integration
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[edit]DescriptionRiemann vs lebesgue integration of serbian covid case data.png |
English: An example to demonstrate the construction of an integral using the Riemannian (blue) and Lebesgue (red) methods. Each of these primative "pre-integrals" uses eight step functions. 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. |
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current | 14:09, 10 March 2022 | ![]() | 819 × 1,034 (94 KB) | Holderbp (talk | contribs) | 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. 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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