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Geometry Optimization of Self‐Similar Transport Network [PDF]
Mathematical Problems in Engineering, 2011 We optimize geometries of various self‐similar transport networks using a three‐step strategy based on the entransy theory. Using this optimization method, we obtained optimal relationships of geometric parameters of T‐shape networks for fluid flow, heat conduction, convective heat transfer, and other transport phenomena.
X. D. Shan, M. Wang, Z. Y. Guo
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Geometry of Similarity Comparisons
, 2020 Many data analysis problems can be cast as distance geometry problems in \emph{space forms} -- Euclidean, spherical, or hyperbolic spaces. Often, absolute distance measurements are often unreliable or simply unavailable and only proxies to absolute distances in the form of similarities are available.
Tabaghi, Puoya +3 more
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Probabilistic Principal Geodesic Deep Metric Learning
IEEE Access, 2022 Similarity learning which is useful for the purpose of comparing various characteristics of images in the computer vision field has been often applied for deep metric learning (DML).
Dae Ha Kim, Byung Cheol Song
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Self-similar spacetimes: Geometry and dynamics [PDF]
Communications in Mathematical Physics, 1974 The nature and uses of self-similarity in general relativity are discussed. A spacetime may be self-similar (homothetic) along surfaces of any dimensionality, from 1 to 4. A geometric construction is given for all self-similar spacetimes. As an important special case, the “spatially self-similar cosmological models” are introduced, and their dynamical ...
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Visual Arts in U.S. Geometry Textbooks Aligned with the Common Core Standards
Annales de Didactique et de Sciences Cognitives, 2020 This study investigates visual arts references in five U.S. high school geometry textbooks aligned with the Common Core State Standards for Mathematics. In all of the textbooks, architecture is the most commonly used context. More than half of the visual
Gloriana González
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Multipath target discrimination in human monitoring based on MIMO mmWave radar
Electronics Letters, 2023 To address the interference caused by multipath ghosts, this paper presents a multipath target discrimination method based on separated Gaussian similarity matrices.
Borui Du +4 more
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Limits of Predictability of a Global Self-Similar Routing Model in a Local Self-Similar Environment
Atmosphere, 2020 Regional Distributed Hydrological models are being adopted around the world for prediction of streamflow fluctuations and floods. However, the details of the hydraulic geometry of the channels in the river network (cross sectional geometry, slope, drag ...
Nicolas Velasquez, Ricardo Mantilla
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Nuclear Engineering and Technology, 2022 When evaluating energy balance and temperature in reduced-scale fire experiments, which are conducted as an alternative to full-scale fire experiments, it is important to consider the similarity in the scale among these experiments.
Hitoshi Suto +2 more
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Building Geometry Simplification for Improving Mesh Quality of Numerical Analysis Model
Applied Sciences, 2020 Numerical analysis, especially the finite volume method (FVM), is one of the primary approaches employed when evaluating a building environment. A complicated geometry can degrade the mesh quality, leading to numerical diffusions and errors.
Gwanyong Park +3 more
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DCG++: A data-driven metric for geometric pattern recognition.
PLoS ONE, 2019 Clustering large and complex data sets whose partitions may adopt arbitrary shapes remains a difficult challenge. Part of this challenge comes from the difficulty in defining a similarity measure between the data points that captures the underlying ...
Jiahui Guan +2 more
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