Study on RCS Scaling Relationship of Perfect Conducting Objects

Author(s):  
Chen Xiao Jie ◽  
Li Lei ◽  
Shi Xiao Wei ◽  
Xie Yong Jun
2021 ◽  
Author(s):  
Changhyeok Choi ◽  
Sungho Yoon ◽  
Yousung Jung

The scaling relationship of methane activation via a radical-like transition state shifts toward a more reactive region with decreasing coordination number of the active sites.


Paleobiology ◽  
2010 ◽  
Vol 36 (2) ◽  
pp. 188-203 ◽  
Author(s):  
Lynn E. Copes ◽  
Gary T. Schwartz

In a seminal paper in 1975, Gould proposed that postcanine occlusal area (PCOA) should scale metabolically (0.75) with body mass across mammals. By regressing PCOA against skull length in a small sample of large-bodied herbivorous mammals, Gould provided some marginal support for this hypothesis, which he then extrapolated as a universal scaling law for Mammalia. Since then, many studies have sought to confirm this scaling relationship within a single order and have found equivocal support for Gould's assertion. In part, this may be related to the use of proxies for both PCOA and body mass, small sample sizes, or the influence of a “taxon-level effect,” rendering Gould's scaling “universal” problematic.Our goal was to test the universality of Gould's prediction and the impact of the taxon-level effect on regressions of tooth size on body mass in a large extant mammalian sample (683 species spanning 14 orders). We tested for the presence of two types of taxon-level effect that may influence the acceptance or rejection of hypothesized scaling coefficients. The hypotheses of both metabolic and isometric scaling can be rejected in Mammalia, but not in all sub-groups therein. The level of data aggregation also influences the interpretation of the scaling relationship. Because the scaling relationship of tooth size to body mass is highly dependent on both the taxonomic level of analysis and the mathematical methods used to organize the data, paleontologists attempting to retrodict body mass from fossilized dental remains must be aware of the effect that sample composition may have on their results.


2018 ◽  
Vol 32 (12) ◽  
pp. 2689-2698 ◽  
Author(s):  
Zhengbing Yan ◽  
Xiuping Li ◽  
Di Tian ◽  
Wenxuan Han ◽  
Xinghui Hou ◽  
...  

2018 ◽  
Vol 17 ◽  
pp. 153303381878807 ◽  
Author(s):  
Yan Mi ◽  
Jin Xu ◽  
Xuefeng Tang ◽  
Changhao Bian ◽  
Hongliang Liu ◽  
...  

2019 ◽  
Vol 6 (10) ◽  
pp. 190027 ◽  
Author(s):  
Eszter Bokányi ◽  
Dániel Kondor ◽  
Gábor Vattay

Scaling properties of language are a useful tool for understanding generative processes in texts. We investigate the scaling relations in citywise Twitter corpora coming from the metropolitan and micropolitan statistical areas of the United States. We observe a slightly superlinear urban scaling with the city population for the total volume of the tweets and words created in a city. We then find that a certain core vocabulary follows the scaling relationship of that of the bulk text, but most words are sensitive to city size, exhibiting a super- or a sublinear urban scaling. For both regimes, we can offer a plausible explanation based on the meaning of the words. We also show that the parameters for Zipf’s Law and Heaps' Law differ on Twitter from that of other texts, and that the exponent of Zipf’s Law changes with city size.


Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 991 ◽  
Author(s):  
Yu ◽  
Shi ◽  
Hui ◽  
Miao ◽  
Liu ◽  
...  

Leaf shape can reflect the survival and development of plants in different environments. In particular, leaf area, showing a scaling relationship with other leaf-shape indices, has been used to evaluate the extent of salt stress on plants. Based on the scaling relationships between leaf area and other leaf-shape indices in experiments at different levels of salt stress, we could examine which leaf-shape indices are also related to salt stress. In the present study, we explored the effects of different salt concentration treatments on leaf dry mass per unit area (LMA), the quotient of leaf perimeter and leaf area (QPA), the quotient of leaf width and length (QWL), the areal quotient (AQ) of left and right sides of a leaf and the standardized index (SI) for bilateral symmetry. We treated Pyrus betulifolia Bunge under NaCl salt solution of 2‰, 4‰ and 6‰, respectively, with fresh water with no salt as the control. The reduced major axis (RMA) was used to fit a linear relationship of the log-transformed data between any leaf trait measures and leaf area. We found that leaf fresh weight and dry weight decrease with salt concentration increasing, whereas the exponents of leaf dry weight versus leaf area exhibit an increasing trend, which implies that the leaves expanding in higher salt environments are prone to have a higher cost of dry mass investment to increase per unit leaf area than those in lower salt environments. Salt concentration has a significant influence on leaf shape especially QWL, and QWL under 6‰ concentration treatment is significantly greater than the other treatments. However, there is no a single increasing or decreasing trend for the extent of leaf bilateral symmetry with salt concentration increasing. In addition, we found that the scaling exponents of QPA versus leaf area for four treatments have no significant difference. It indicates that the scaling relationship of leaf perimeter versus leaf area did not change with salt concentration increasing. The present study suggests that salt stress can change leaf functional traits especially the scaling relationship of leaf dry weight versus leaf area and QWL, however, it does not significantly affect the scaling relationships between leaf morphological measures (including QPA and the extent of leaf bilateral symmetry) and leaf area.


2003 ◽  
Vol 17 (22n24) ◽  
pp. 4349-4354
Author(s):  
Xingang Wang ◽  
Gang Hu ◽  
Kai Hu ◽  
C.-H. Lai

The transition to measure synchronization in two coupled φ4 equations are investigated numerically both for quasiperiodic and chaotic cases. Quantities like the bare energy and phase difference are employed to study the underlying behaviors during this process. For transition between quasiperiodic states, the distribution of phase difference tends to concentrate at large angles before measure synchronization, and is confined to within a certain range after measure synchronization. For transition between quasiperiodicity and chaos, phase locking is not achieved and a random-walk-like behavior of the phase difference is found in the measure synchronized region. The scaling relationship of the phase distribution and the behavior of the bare energy are also discussed.


2021 ◽  
Author(s):  
Hyunwoo Kim

This paper investigates the performance prediction method for Aero-Naut CAM folding propellers through parametric studies of existing wind tunnel testing data. The application of the propeller into CREATeV ultra-long-endurance unmanned solar aircraft necessitated the availability of accurate performance estimates for its propeller-motor configurations. Performance coefficient prediction method based on scaling relationship of propeller geometry is discussed along with motor efficient prediction method and iterative propeller-motor performance optimization. Several important observations regarding performance scaling effect of Aero-Naut folding propellers and its impact on performance optimization are discussed. The resulting optimized propeller selections are proposed which would enhance mission capability of CREATeV. Finally, future work considerations and concluding remarks of the analysis is presented.


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