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Symmetry, Volume 13, Issue 12

December 2021 - 221 articles

Cover Story: Laws of large numbers (LLNs) are theorems of great importance for probability and chance theory. Within chance theory the notion of an uncertain random variable was defined to model phenomena where both uncertainty and randomness are present. This work considers uncertain random variables as functions of random variables and uncertain variables, introduced within uncertainty theory. Sequences of uncertain random variables are defined for a fixed continuous function, strictly monotone with respect to its second argument, as are sequences of pairwise independent or independent, identically distributed random variables and regular, independent, and identically distributed uncertain variables. Some LLNs for such defined sequences of uncertain random variables are formulated and proven. Two of their counterparts for uncertain variables are also discussed. View this paper
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Articles (221)

  • Review
  • Open Access
10 Citations
5,049 Views
10 Pages

Asymmetric Lateralization during Pain Processing

  • Carolina Roza and
  • Anabel Martinez-Padilla

14 December 2021

Pain is defined as “an unpleasant sensory and emotional experience associated with, or resembling that associated with, actual or potential tissue damage”. This complex perception arises from the coordinated activity of several brain area...

  • Review
  • Open Access
15 Citations
5,953 Views
20 Pages

Principles of Gravitational-Wave Detection with Pulsar Timing Arrays

  • Michele Maiorano,
  • Francesco De Paolis and
  • Achille A. Nucita

14 December 2021

Pulsar timing uses the highly stable pulsar spin period to investigate many astrophysical topics. In particular, pulsar timing arrays make use of a set of extremely well-timed pulsars and their time correlations as a challenging detector of gravitati...

  • Article
  • Open Access
22 Citations
4,246 Views
23 Pages

14 December 2021

Unmanned aerial vehicle (UAV) clusters usually face problems such as complex environments, heterogeneous combat subjects, and realistic interference factors in the course of mission assignment. In order to reduce resource consumption and improve the...

  • Article
  • Open Access
11 Citations
2,694 Views
17 Pages

On Some New Simpson’s Formula Type Inequalities for Convex Functions in Post-Quantum Calculus

  • Miguel J. Vivas-Cortez,
  • Muhammad Aamir Ali,
  • Shahid Qaisar,
  • Ifra Bashir Sial,
  • Sinchai Jansem and
  • Abdul Mateen

14 December 2021

In this work, we prove a new (p,q)-integral identity involving a (p,q)-derivative and (p,q)-integral. The newly established identity is then used to show some new Simpson’s formula type inequalities for (p,q)-differentiable convex functions. Fi...

  • Article
  • Open Access
5 Citations
2,573 Views
12 Pages

14 December 2021

This paper represents the processing of the two-dimensional Laplace transform with the two-dimensional Marichev–Saigo–Maeda integral operators and two-dimensional incomplete hypergeometric function. This article provides an entirely new p...

  • Article
  • Open Access
13 Citations
2,832 Views
28 Pages

14 December 2021

In this article, to synthesize the merits of interaction operational laws (IOLs), rough numbers (RNs), power average (PA) and Heronian mean (HM), a new notion of T-spherical fuzzy rough numbers (T-SFRNs) is first introduced to describe the intention...

  • Article
  • Open Access
32 Citations
3,790 Views
22 Pages

14 December 2021

Considering green scheduling and sustainable manufacturing, the energy-efficient hybrid flow shop scheduling problem (EHFSP) with a variable speed constraint is investigated, and a novel multi-population artificial bee colony algorithm (MPABC) is dev...

  • Article
  • Open Access
2 Citations
4,548 Views
13 Pages

Calculating Beamforming Vectors for 5G System Applications

  • Edgar Dmitriyev,
  • Eugeniy Rogozhnikov,
  • Natalia Duplishcheva and
  • Serafim Novichkov

14 December 2021

The growing demand for broadband Internet services is forcing scientists around the world to seek and develop new telecommunication technologies. With the transition from the fourth generation to the fifth generation wireless communication systems, o...

  • Article
  • Open Access
4,019 Views
20 Pages

On the Hierarchical Bernoulli Mixture Model Using Bayesian Hamiltonian Monte Carlo

  • Wahyuni Suryaningtyas,
  • Nur Iriawan,
  • Heri Kuswanto and
  • Ismaini Zain

13 December 2021

The model developed considers the uniqueness of a data-driven binary response (indicated by 0 and 1) identified as having a Bernoulli distribution with finite mixture components. In social science applications, Bernoulli’s constructs a hierarch...

  • Article
  • Open Access
5 Citations
3,160 Views
19 Pages

13 December 2021

Bistable energy harvesters have been extensively studied. However, theoretical research on the dynamics of bistable energy harvesters based on asymmetric bistable composite laminated plate and shell structures has not been conducted. In this paper, a...

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Symmetry - ISSN 2073-8994