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4,162 Results Found

  • Article
  • Open Access
12 Citations
2,384 Views
12 Pages

On the Second-Largest Reciprocal Distance Signless Laplacian Eigenvalue

  • Maryam Baghipur,
  • Modjtaba Ghorbani,
  • Hilal A. Ganie and
  • Yilun Shang

2 March 2021

The signless Laplacian reciprocal distance matrix for a simple connected graph G is defined as RQ(G)=diag(RH(G))+RD(G). Here, RD(G) is the Harary matrix (also called reciprocal distance matrix) while diag(RH(G)) represents the diagonal matrix of the...

  • Article
  • Open Access
5 Citations
4,800 Views
18 Pages

2 June 2018

In order to create sustainable competitive advantages, organizations are embedded in dyadic exchange relationships, which depend on the coordination of the behavior of the actors involved. Often, coordinated behavior is explained by trust. Since trus...

  • Hypothesis
  • Open Access
1 Citations
7,898 Views
12 Pages

31 December 2023

In this study, we propose a groundbreaking hypothesis for the evolution of reciprocal altruism, suggesting its emergence from random encounters characterized by theft rather than the traditionally accepted cooperative reciprocation and intertemporal...

  • Article
  • Open Access
1 Citations
577 Views
17 Pages

16 October 2025

This paper establishes symmetric inequalities for the reciprocal sums of Fibonacci numbers. By using elementary methods, recurrence properties, Cassini’s identity, and the Fibonacci–Lucas connection, we deduce the precise bounds for these...

  • Article
  • Open Access
11 Citations
2,595 Views
10 Pages

17 September 2022

The reciprocal distance Laplacian matrix of a connected graph G is defined as RDL(G)=RT(G)RD(G), where RT(G) is the diagonal matrix of reciprocal distance degrees and RD(G) is the Harary matrix. Clearly, RDL(G) is a real symmetric matrix, and...

  • Review
  • Open Access
10 Citations
3,803 Views
22 Pages

Reciprocal Effects of Metal Mixtures on Phytoplankton

  • Ammara Nawaz,
  • Pavlína Eliška Šotek and
  • Marianna Molnárová

6 February 2024

Several types of contaminants are anthropogenically introduced into natural aquatic ecosystems and interact with other chemicals and/or with living organisms. Although metal toxicity alone has been relatively well studied, the toxic metal ion effects...

  • Article
  • Open Access
2,436 Views
9 Pages

27 February 2024

The Kelvin relation, relating the Seebeck coefficient and the Peltier coefficient, is a theoretical basis of thermoelectricity. It was first derived by Kelvin using a quasi-thermodynamic approach. However, Kelvin’s approach was subjected to muc...

  • Article
  • Open Access
2 Citations
2,292 Views
12 Pages

29 July 2022

For a connected graph G on n vertices, recall that the reciprocal distance signless Laplacian matrix of G is defined to be RQ(G)=RT(G)+RD(G), where RD(G) is the reciprocal distance matrix, RT(G)=diag(RT1,RT2,,RTn) and RTi is the reciprocal dis...

  • Article
  • Open Access
6 Citations
4,765 Views
26 Pages

Mixed languages combine significant amounts of grammatical and lexical material from more than one source language in systematic ways. The Australian mixed language, Light Warlpiri, combines nominal morphology from Warlpiri with verbal morphology fro...

  • Review
  • Open Access
22 Citations
7,819 Views
35 Pages

15 November 2016

In selective chromatography and electromigration methods, supramolecular recognition of selectands and selectors is due to the fast and reversible formation of association complexes governed by thermodynamics. Whereas the selectand molecules to be se...

  • Article
  • Open Access
803 Views
15 Pages

21 March 2025

Reciprocal structures represent a category of spatial structural systems characterized by mutually supporting connections between components, which are primarily employed in roof systems and spatial frameworks. Insufficient stiffness is a critical ch...

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

10 February 2021

Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balanc...

  • Article
  • Open Access
3,907 Views
25 Pages

8 November 2024

This paper presents an overview of the distribution of reflexive-reciprocal syncretism in Eastern Bantu languages spoken in Tanzania. Most Bantu languages encode reflexive and reciprocal constructions by means of two distinct verbal affixes. However,...

  • Article
  • Open Access
3 Citations
2,503 Views
18 Pages

10 June 2023

Let G=(V,E) be a simple connected graph with vertex set V and edge set E, respectively. The term “anti-reciprocal eigenvalue property“ refers to a non-singular graph G for which, 1λσ(G), whenever λ&s...

  • Article
  • Open Access
5 Citations
2,874 Views
13 Pages

Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions

  • Shahid Mahmood,
  • Janusz Sokół,
  • Hari Mohan Srivastava and
  • Sarfraz Nawaz Malik

27 March 2019

The present paper comprises the study of certain functions which are analytic and defined in terms of reciprocal function. The reciprocal classes of close-to-convex functions and quasi-convex functions are defined and studied. Various interesting pro...

  • Article
  • Open Access
12 Citations
5,108 Views
11 Pages

This paper establishes a real integral representation of the reciprocal Gamma function in terms of a regularized hypersingular integral along the real line. A regularized complex representation along the Hankel path is derived. The equivalence with t...

  • Communication
  • Open Access
5 Citations
2,398 Views
11 Pages

Non-Reciprocal MEMS Periodic Structure

  • Jacopo Marconi,
  • Davide Enrico Quadrelli and
  • Francesco Braghin

4 April 2023

In recent years, active periodic structures with in-time modulated parameters have drawn ever-increasing attention due to their peculiar (and sometimes exotic) wave propagation properties. Although many experimental works have shown the efficacy of t...

  • Feature Paper
  • Review
  • Open Access
5 Citations
5,320 Views
25 Pages

Reciprocal Regulation of Hippo and WBP2 Signalling—Implications in Cancer Therapy

  • Yvonne Xinyi Lim,
  • Hexian Lin,
  • Sock Hong Seah and
  • Yoon Pin Lim

11 November 2021

Cancer is a global health problem. The delineation of molecular mechanisms pertinent to cancer initiation and development has spurred cancer therapy in the form of precision medicine. The Hippo signalling pathway is a tumour suppressor pathway implic...

  • Article
  • Open Access
4 Citations
5,397 Views
24 Pages

30 July 2022

Variable transformations have a long and celebrated history in statistics, one that was rather academically glamorous at least until generalized linear models theory eclipsed their nurturing normal curve theory role. Still, today it continues to be a...

  • Article
  • Open Access
13 Citations
5,117 Views
16 Pages

There is ample evidence to indicate the direct effects of receiving social support on mental health during and after a disaster. However, the importance of reciprocal exchanges of social support (i.e., balanced receipt and provision of social support...

  • Article
  • Open Access
1 Citations
1,905 Views
14 Pages

28 April 2023

The application of a bidirectional laser requires the laser intensity in both directions to be balanced. However, the CW and CCW light intensities in current bidirectional erbium-doped fiber laser experiments differ due to the gain competition effect...

  • Article
  • Open Access
9 Citations
4,041 Views
11 Pages

Solving a Structure in the Reciprocal Space, Real Space and Both by Using the EXPO Software

  • Angela Altomare,
  • Nicola Corriero,
  • Corrado Cuocci,
  • Aurelia Falcicchio and
  • Rosanna Rizzi

31 December 2019

The solution of crystal structures from X-ray powder diffraction data has undergone an intense development in the last 25 years. Overlapping, background estimate, preferred orientation are the main difficulties met in the process of determining the c...

  • Article
  • Open Access
952 Views
34 Pages

20 November 2025

Reciprocal recommendation requires satisfying preferences on both sides of a match, which differs from standard one-sided settings and often involves hierarchical structure (e.g., skills, seniority, education). We present biLorentzFM, which is a mult...

  • Article
  • Open Access
1 Citations
2,287 Views
19 Pages

Analysis of Deployable Cylindrical Space Bar Structures of Reciprocal Linkages with Frustoconical Ends

  • Juan Pérez-Valcárcel,
  • Manuel Muñoz-Vidal,
  • Isaac R. López-César,
  • Manuel J. Freire-Tellado and
  • Félix Suárez-Riestra

In this article, deployable cylindrical vaults of reciprocal linkages with frustoconical ends are analysed. Deployable cylindrical vaults with quadrangular scissors modules have low stiffness in the longitudinal direction, which requires the use of s...

  • Article
  • Open Access
1,069 Views
22 Pages

22 August 2025

The incentive mechanism functions as a core safeguard to ensure the efficient execution of consortium-based Public–Private Partnership (PPP) projects and the realization of value-added outcomes. The heterogeneity of consortium members, their re...

  • Article
  • Open Access
5 Citations
6,652 Views
28 Pages

29 February 2016

We compare two mathematical theories that address duality between cycles and vertex-cuts of graphs in geometric settings. First, we propose a rigorous definition of a new type of graph, vector graphs. The special case of R2-vector graphs matches the...

  • Article
  • Open Access
537 Views
21 Pages

16 November 2025

Deep neural networks (DNNs) have achieved superior performance in diagnosing process faults, but they lack robustness when encountering novel fault types absent from training sets. Such unknown faults commonly appear in industrial settings, and conve...

  • Article
  • Open Access
11 Citations
3,799 Views
22 Pages

Many theories of motivation suggest that motivation and academic achievement reinforce each other over time, yet few longitudinal studies have examined behavioral pathways that may mediate interplay from motivation to achievement. Moreover, empirical...

  • Article
  • Open Access
28 Citations
4,564 Views
26 Pages

To solve information asymmetry, we adopted the principal-agent framework to design the incentive mechanisms between the remanufacturer and the collector in the construction and demolition (C&D) waste-recycling industry. By using the model of reci...

  • Article
  • Open Access
4 Citations
7,627 Views
11 Pages

Can Characteristics of Reciprocal Translocations Predict the Chance of Transferable Embryos in PGD Cycles?

  • Elsbeth Dul,
  • Jannie Van Echten-Arends,
  • Henk Groen,
  • Peter Kastrop,
  • Lucie Amory-van Wissen,
  • John Engelen,
  • Jolande Land,
  • Edith Coonen and
  • Conny Van Ravenswaaij-Arts

2 April 2014

Translocation carriers have an increased risk of miscarriage or the birth of a child with congenital anomalies. Preimplantation genetic diagnosis (PGD) is performed in translocation carriers to select for balanced embryos and, thus, increase the chan...

  • Article
  • Open Access
13 Citations
10,327 Views
25 Pages

18 May 2019

In the recent decades, fashion brands and retailers in the West have introduced supplier’s Codes of Conduct (CoC) to strengthen international labour standards in their supply chain. Drawing from the concept of workers’ agency and the theo...

  • Communication
  • Open Access
1 Citations
2,101 Views
9 Pages

To overcome the limitation of dynamic reciprocity, a new method for designing broadband on-chip optical isolators is proposed and demonstrated based on saturated gain, which is able to support simplex and duplex operation modes. By connecting a satur...

  • Article
  • Open Access
2 Citations
4,014 Views
6 Pages

25 February 2022

In this work, we investigate the validity of axioms such as Onsager Reciprocal Relations (ORR) for heat transfer in irreversible thermodynamics close to equilibrium. We show that the ORR for this case could be directly derived by introducing the wide...

  • Article
  • Open Access
1 Citations
2,952 Views
17 Pages

The Development of a Train-the-Trainer Approach in Reciprocal Reading Instruction in England’s Primary Schools

  • Maria Cockerill,
  • Joanne O’Keeffe,
  • Allen Thurston,
  • Canan Ozkaya,
  • Joanne Holland and
  • Andy Taylor

5 February 2025

There is good evidence that targeted reciprocal reading instruction for struggling readers can lead to attainment gains in reading for children aged 9–12 years in England using the FFT Reciprocal Reading instruction programme when training is d...

  • Article
  • Open Access
7 Citations
5,827 Views
34 Pages

Architectural Systemic Approach: The Serpentine Gallery 2005, a Reciprocal Frame Case Study

  • Beatriz del Río-Calleja,
  • Joaquín Grau Enguix and
  • Alfonso García-Santos

The application of the systemic approach in architecture aims to promote an integral, holistic view of the architectural design process. The literature reviewed calls for models with systemic behavior, and for these models to be applied in concrete c...

  • Article
  • Open Access
5 Citations
5,034 Views
17 Pages

Aroma, Quality, and Consumer Mindsets for Shelf-Stable Rice Thermally Processed by Reciprocal Agitation

  • William R. Dixon,
  • Blanca E. Morales-Contreras,
  • Manoch Kongchum,
  • Zhimin Xu,
  • Dustin Harrell,
  • Howard R. Moskowitz and
  • Louise Wicker

28 October 2020

Food engineering, food chemistry, and consumer segmentation were used to evaluate ready-to-eat rice. The aromatic Louisiana Clearfield Jazzman (CJ) and Thai Jasmine (TJ), and a non-aromatic parboiled (PB) rice were hydrated during the first 10 min of...

  • Article
  • Open Access
6 Citations
3,906 Views
15 Pages

16 April 2021

The US-based authors argue that the practice of what we currently call “international service-learning” does not generally achieve its most important goals in the context of the global South, especially those based on the development of mutually bene...

  • Article
  • Open Access
9 Citations
4,521 Views
23 Pages

28 March 2023

In traditional engineering education, students usually have little training on project implementation. Therefore, students have few chances to cultivate and develop their high-level cognitive abilities for the sake of achieving sustainable learning p...

  • Article
  • Open Access
1,328 Views
28 Pages

4 December 2024

Consumers’ low-carbon preferences will affect the decision-making behavior of supply chain members; an understanding of the influence mechanism of reciprocal altruistic preferences and reference low-carbon-level effect on carbon emission transf...

  • Article
  • Open Access
4 Citations
2,744 Views
11 Pages

17 January 2021

This paper concerns the properties of the generalized bi-periodic Fibonacci numbers {Gn} generated from the recurrence relation: Gn=aGn1+Gn2 (n is even) or Gn=bGn1+Gn2 (n is odd). We derive general identities for the recip...

  • Article
  • Open Access
16 Citations
2,799 Views
10 Pages

22 January 2021

We numerically investigate the supratransmission phenomenon in an active nonlinear system modeled by the 1D/2D discrete sine-Gordon equation with non-local feedback. While, at a given frequency, the typical passive system exhibits a single amplitude...

  • Article
  • Open Access
1 Citations
413 Views
15 Pages

1 October 2025

In this paper, we investigate the Hyers–Ulam–Rassias stability of reciprocal functional equations in non-Archimedean fuzzy normed spaces by using both the direct method and the fixed point alternative. In addition, we study a modified rec...

  • Article
  • Open Access
1,483 Views
16 Pages

The suppression of Rayleigh backscattering noise in a resonant fiber optic gyro (RFOG) is accompanied by the emergence of residual amplitude modulation (RAM) effects, which impact the bias performance of the RFOG output. In this paper, we propose a d...

  • Article
  • Open Access
4 Citations
2,522 Views
17 Pages

22 December 2022

Ice and snow tourism has yielded considerable socioeconomic benefits, especially for the countries and regions that are rich in ice and snow resources. Boosted by the Beijing Winter Olympics, China’s ice and snow tourism economy is likely to us...

  • Article
  • Open Access
11 Citations
2,857 Views
14 Pages

1 November 2023

(1) Objectives: This study aims to investigate the bidirectional relationship between depressive symptoms and cognitive function among older adults in China, addressing a research gap in the context of developing nations. (2) Methods: A total of 3813...

  • Article
  • Open Access
5 Citations
3,914 Views
7 Pages

29 December 2021

Background and Objectives: Postoperative pain is a common symptom of a flare-up after root canal treatments (RCTs). Insufficient instrumentation, extrusion of irrigation solutions and debris, and the existence of a periapical lesion are the factors a...

  • Article
  • Open Access
12 Citations
3,332 Views
13 Pages

Objectives: to examine the causal relationship between sleep quality and life satisfaction and explore the mediating role of health status on the relationship between sleep quality and life satisfaction. Methods: A total of 1856 older Chinese people...

  • Article
  • Open Access
4 Citations
5,175 Views
16 Pages

The Evolution of Cooperation and Diversity under Integrated Indirect Reciprocity

  • Tatsuya Sasaki,
  • Satoshi Uchida,
  • Isamu Okada and
  • Hitoshi Yamamoto

18 April 2024

Indirect reciprocity is one of the major mechanisms driving the evolution of cooperation in human societies. There are two types of indirect reciprocity: upstream and downstream reciprocity. Cooperation in downstream reciprocity follows the pattern &...

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