Cartograms serve as representations of geographical and abstract data,employing a value-by-area mapping technique.As a variant of the Dorling cartogram,the Demers cartogram utilizes squares instead of circles to repre...Cartograms serve as representations of geographical and abstract data,employing a value-by-area mapping technique.As a variant of the Dorling cartogram,the Demers cartogram utilizes squares instead of circles to represent regions.This alternative approach allows for a more intuitive comparison of regions,utilizing screen space more efficiently.However,a drawback of the Dorling cartogram and its variants lies in the potential displacement of regions from their original positions,ultimately compromising legibility,readability,and accuracy.To tackle this limitation,we propose a novel hybrid cartogram layout algorithm that incorporates topological elements,such as rivers,into Demers cartograms.The presence of rivers significantly impacts both the layout and visual appearance of the cartograms.Through a user study conducted on an Electronic Health Records(EHR)dataset,we evaluate the efficacy of the proposed hybrid layout algorithm.The obtained results illustrate that this approach successfully retains key aspects of the original cartogram while enhancing legibility,readability,and overall accuracy.展开更多
In this paper, we study the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of class r for fractional integro-differential neutral equations. An example is presented to illustrate the ap...In this paper, we study the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of class r for fractional integro-differential neutral equations. An example is presented to illustrate the application of the abstract results.展开更多
基金funded by the grant EP/S010238/2 from the En-gineering and Physical Sciences Research Council(EPSRC).
文摘Cartograms serve as representations of geographical and abstract data,employing a value-by-area mapping technique.As a variant of the Dorling cartogram,the Demers cartogram utilizes squares instead of circles to represent regions.This alternative approach allows for a more intuitive comparison of regions,utilizing screen space more efficiently.However,a drawback of the Dorling cartogram and its variants lies in the potential displacement of regions from their original positions,ultimately compromising legibility,readability,and accuracy.To tackle this limitation,we propose a novel hybrid cartogram layout algorithm that incorporates topological elements,such as rivers,into Demers cartograms.The presence of rivers significantly impacts both the layout and visual appearance of the cartograms.Through a user study conducted on an Electronic Health Records(EHR)dataset,we evaluate the efficacy of the proposed hybrid layout algorithm.The obtained results illustrate that this approach successfully retains key aspects of the original cartogram while enhancing legibility,readability,and overall accuracy.
基金supported by National Natural Science Foundation of China(Grant Nos.11271379 and 11671406)
文摘In this paper, we study the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of class r for fractional integro-differential neutral equations. An example is presented to illustrate the application of the abstract results.
