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Shannon’s entropy good for measuring sprawl? 


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Shannon's entropy is a useful measure for quantifying urban sprawl. It has been applied in several studies to analyze the spatial structure of urban and suburban neighborhoods and to detect the changes in land use patterns . The Shannon entropy model has been used to show the changes in the built-up area around the center of cities, indicating the rapid increase in urban expansion and the conversion of agricultural land to built-up areas . The results of these studies have shown that Shannon's entropy values above 0.5 indicate dispersedly spread urban sprawl . Therefore, Shannon's entropy can be a valuable tool for measuring and understanding the extent and magnitude of urban sprawl, providing insights for urban planners and decision-makers in implementing sustainable development strategies .

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The answer is not provided in the paper. The paper is about a modified spatial entropy for urban sprawl assessment.
Yes, Shannon's entropy is used in the paper to measure urban sprawl in Kota Malang by calculating the entropy value of the built-up areas.
The paper mentions that Shannon's entropy approach was used to detect the urban sprawl phenomenon. Therefore, Shannon's entropy is considered a suitable measure for measuring sprawl.
The paper mentions that the Shannon entropy measure is used to measure the spatial structure of urban and suburban neighborhood sprawl. Therefore, Shannon's entropy is considered a suitable measure for measuring sprawl.
The paper does not explicitly state whether Shannon's entropy is good for measuring sprawl.

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Has the concept of entropy been used to quantify correlations in correlation matrices?5 answersEntropy measures have been used to quantify correlations in correlation matrices. The concept of entropy has been extended to various fields, including physics, information theory, and economics. In the context of quantum systems, entropy measures such as von Neumann and R\'enyi entropies have been estimated using variational quantum algorithms. In molecular systems, a kinematic measure of entanglement called "coupled entropy" has been proposed, which accurately describes the Einstein-Podolsky-Rosen entanglement. Quantum coarse-grained entropy, known as "quantum correlation entropy," has been studied as a generalization of entanglement entropy to mixed states and multipartite systems. Additionally, a quantitative connection has been established between correlation functions and entanglement, where the zeros of local correlation matrices provide an upper bound on entanglement entropy. These studies demonstrate the use of entropy to quantify correlations in correlation matrices in different contexts.
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