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Symmetry, Volume 15, Issue 6

June 2023 - 161 articles

Cover Story: The leaves of temperate and tropical forest trees differ in shape (elliptical or otherwise) and margin (smooth, lobed, or toothed). Irregular lobes and teeth decrease the threshold for a transition from laminar to turbulent flow, increasing the likelihood that a leaf will fall over the critical root zone, mulching the tree roots. On the other hand, elliptical leaves having smooth margins which minimize self-shading in tropical forests and the understory of temperate forests, where trees compete most strongly for light. The evolutionary trade-offs are between competition for light and competition for water and nutrients. View this paper
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Articles (161)

  • Article
  • Open Access
3 Citations
1,937 Views
22 Pages

20 June 2023

This paper investigates the effects of support friction on mixed-mode I/II fracture behavior of compacted clay using notched deep beam (NDB) specimens under symmetric fixed support. Numerical models of 330 NDB specimens were established considering t...

  • Article
  • Open Access
12 Citations
2,654 Views
13 Pages

20 June 2023

A novel discrete Poisson mixing probability distribution with two parameters has been developed by combining the Poisson distribution with the transmuted moment exponential distribution. It is possible to deduce several mathematical properties, such...

  • Article
  • Open Access
13 Citations
2,373 Views
14 Pages

20 June 2023

This paper explores the numerical optimization of heat and mass transfer in the buoyancy-driven Al2O3-water nanofluid flow containing electrified Al2O3-nanoparticles adjacent to a symmetrically-vertical plane wall. The proposed model becomes a set of...

  • Article
  • Open Access
5 Citations
2,658 Views
18 Pages

20 June 2023

Natural language generation (NLG) models combined with increasingly mature and powerful deep learning techniques have been widely used in recent years. Deployed NLG models in practical applications may be stolen or used illegally, and watermarking ha...

  • Article
  • Open Access
2 Citations
3,589 Views
14 Pages

20 June 2023

Granger causality (GC) is a popular method in causal linkage recovery and has been applied to various fields, such as economics and neuroscience. While the conventional Granger causality model is capable of identifying symmetrical causal relationship...

  • Feature Paper
  • Article
  • Open Access
1 Citations
2,784 Views
30 Pages

Geometric Numerical Methods for Lie Systems and Their Application in Optimal Control

  • Luis Blanco Díaz,
  • Cristina Sardón,
  • Fernando Jiménez Alburquerque and
  • Javier de Lucas

19 June 2023

A Lie system is a nonautonomous system of first-order ordinary differential equations whose general solution can be written via an autonomous function, the so-called (nonlinear) superposition rule of a finite number of particular solutions and some p...

  • Article
  • Open Access
19 Citations
1,950 Views
27 Pages

19 June 2023

This paper describes an effective strategy based on Lerch polynomial method for solving mixed integral equations (MIE) in position and time with a strongly symmetric singular kernel in the space L2(−1,1)×C[0,T],(T<1). The Quadratic num...

  • Article
  • Open Access
7 Citations
1,893 Views
24 Pages

The Unit Alpha-Power Kum-Modified Size-Biased Lehmann Type II Distribution: Theory, Simulation, and Applications

  • Rabab S. Gomaa,
  • Alia M. Magar,
  • Najwan Alsadat,
  • Ehab M. Almetwally and
  • Ahlam H. Tolba

19 June 2023

In order to represent the data with non-monotonic failure rates and produce a better fit, a novel distribution is created in this study using the alpha power family of distributions. This distribution is called the alpha-power Kum-modified size-biase...

  • Feature Paper
  • Article
  • Open Access
1 Citations
2,620 Views
13 Pages

19 June 2023

Legendre coefficients of an integrable function f(x) are proved to coincide with the Fourier coefficients with a nonnegative index of a suitable Abel-type transform of the function itself. The numerical computation of N Legendre coefficients can thus...

  • Article
  • Open Access
2 Citations
3,950 Views
15 Pages

19 June 2023

To describe non-Debye relaxation phenomena observed in dielectric materials, the Cole–Cole (CC) relaxation model in the frequency domain and the Kohlrausch–Williams–Watts (KWW) relaxation model in the time domain were introduced in...

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Symmetry - ISSN 2073-8994Creative Common CC BY license