Investigating the relationship between built environment and urban vitality using big data.

Urban vitality reflects the dynamic interaction between residents' activities and the urban environment, playing a pivotal role in fostering social and economic development. It enhances urban quality, competitiveness, and residents' well-being. Despite extensive scholarly attention, previous research has often overlooked the integration of big data and the spatial heterogeneity inherent in urban environments.

Corrigendum to "Multiband rabi antenna using nest microstrip add-drop filter (NMADF) for relativistic sensing applications" [Heliyon 9(2) (February 2023) e13611].

[This corrects the article DOI: 10.1016/j.heliyon.

Multiband Rabi antenna using nest microstrip add-drop filter (NMADF) for relativistic sensing applications.

A microstrip circuit is designed, constructed, and tested based on the nest microstrip add-drop filters (NMADF). The multi-level system oscillation is generated by the wave-particle behaviors of AC driven along the microstrip ring circular path. The continuous successive filtering is applied via the device input port.