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2020

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Implemented Evidence-Based Treatment Of Parent-Esdm Enhances The Social-Communication Ability Of The Toddler, Parenting Functions And Flexibility Of Personal Phenotype: A Casereport, Sheng-Fen Fan, Sung-Hui Tseng Dec 2020

Implemented Evidence-Based Treatment Of Parent-Esdm Enhances The Social-Communication Ability Of The Toddler, Parenting Functions And Flexibility Of Personal Phenotype: A Casereport, Sheng-Fen Fan, Sung-Hui Tseng

Rehabilitation Practice and Science

Clinically, individuals with the autism spectrum disorder display difficulties with social communication and restricted, repetitive behaviors. The parent-implemented version of the Early Start Denver Model (P-ESDM) has proven to be an effective intervention. However, there is yet to be research on whether it is suitable for Taiwanese culture. This study aimed to increase the application of P-ESDM techniques to daily life through a case therapy report and observed whether parents can reduce their parenting stress through learning and change the way they interact with their autistic child so as to provide him or her with more learning opportunities in communication. …


The Roles Of Videofluoroscopic Swallowing Study (Vfss) And Fiberoptic Endoscopic Evaluation Of Swallowing (Fees) In The Assessment Of Dysphagia, Yi-Hsiang Chiu, Wen-Hsuan Tseng, Tyng-Guey Wang Dec 2020

The Roles Of Videofluoroscopic Swallowing Study (Vfss) And Fiberoptic Endoscopic Evaluation Of Swallowing (Fees) In The Assessment Of Dysphagia, Yi-Hsiang Chiu, Wen-Hsuan Tseng, Tyng-Guey Wang

Rehabilitation Practice and Science

Dysphagia is a prevailing complication of various central nervous diseases and oral pharyngeal cancer. Once dysphagia occurred, it may affect a patient's physical and psychological condition and thus their quality of daily activities. Therefore, early detection and the application of appropriate treatments for patients with dysphagia is essential. Videofluoroscopic swallowing study (VFSS) and fiberoptic endoscopic evaluation of swallowing (FEES) are two common instrument modalities used to evaluate swallowing function. VFSS has been acknowledged as the gold standard for the diagnosis of dysphagia by most scholars. Nevertheless, there is debate that FEES is superior to VFSS as it provides additional information …


A Systematic Reviewarticle On Discharge Destinations For Patients With Stroke, Lin-Fu Lee, Wen-Chih Lin, Willy Chou Dec 2020

A Systematic Reviewarticle On Discharge Destinations For Patients With Stroke, Lin-Fu Lee, Wen-Chih Lin, Willy Chou

Rehabilitation Practice and Science

Introduction: Complex and diverse factors affect the placement of patients with stroke after they are discharged from hospitals. In this study, a systematic reviewarticle of relevant literature was performed to compile related research data and explore the importance of individuals factors and the overall predictive power of multiple variables. Methods: Electronic resources from PubMed and the Cochrane Library were used along with keywords such as "stroke" and "discharge destination" to search for relevant articles published between 2005 and 2018. Only original research articles written in English were selected. Results: A total of 19 articles were selected to compile 10 factors, …


Effects Of An Anterior Ankle-Foot Orthosis On Static Standing Balance Control In Patients With Chronic Stroke Wearing The Orthosis For A Long Time, Min-Yuan Yu, Yu-Hsuan Tseng, Po-Chih Chen, Jen-Wen Hung Dec 2020

Effects Of An Anterior Ankle-Foot Orthosis On Static Standing Balance Control In Patients With Chronic Stroke Wearing The Orthosis For A Long Time, Min-Yuan Yu, Yu-Hsuan Tseng, Po-Chih Chen, Jen-Wen Hung

Rehabilitation Practice and Science

Aims: To investigate the effects of anterior ankle-foot orthosis (A-AFO) on static standing postural control in patients with chronic stroke wearing the A-AFO for a long time. Methods: We recruited patients with chronic stroke wearing an A-AFO for at least 5 months. Static standing balance control was evaluated using the Tetrax Balance System in eight positions: (1) eyes open on a solid surface [NO];(2) eyes closed on a solid surface [NC];(3) eyes open on a foam surface [PO];(4) eyes closed on a foam surface [PC];and head turned at 30° to (5) right [HR], (6) left [HL], (7) up [HB], and …


Rehabilitation Is Associated With Lower Mortality In Patients With Dengue Fever In Intensive Care Units: A Retrospective Study, Hsin-Han Cheng, Chin-Ming Chen, Willy Chou Dec 2020

Rehabilitation Is Associated With Lower Mortality In Patients With Dengue Fever In Intensive Care Units: A Retrospective Study, Hsin-Han Cheng, Chin-Ming Chen, Willy Chou

Rehabilitation Practice and Science

Objective: The study aimed to examine the effect of rehabilitation on mortality in patients with dengue in intensive care units (ICUs). Design: This was a retrospective cohort study. In this study, 142 patients with dengue from ICUs were enrolled from August to December, 2015. They were divided into two groups: patients with or without rehabilitation. The relationship between rehabilitative therapy and the risk of dengue-related mortality was assessed using a multivariate Cox regression model after adjustment for related variables. Results: Of the 142 patients, 70 (49.3%) were men, and the mean age was 69.97 ± 15.93 years. The average length …


Inter-Rater Reliability Of The Barthel Index Scoring Between Nurses And Doctors, Ying-Chao Lin, Yu-Tzu Dai, Tyng-Guey Wang Dec 2020

Inter-Rater Reliability Of The Barthel Index Scoring Between Nurses And Doctors, Ying-Chao Lin, Yu-Tzu Dai, Tyng-Guey Wang

Rehabilitation Practice and Science

The Barthel Index is not only used to assess the status of activities of daily living and the planning of rehabilitation program but also to hire foreign health aids as a qualification standard for patients in Taiwan. However, studies on the inter-rater reliability of the Barthel Index are lacking between nurses and doctors, who are common specialties in evaluating the Barthel Index in Taiwan. The present study evaluates the inter-rater reliability of the Barthel Index and related influential factors of assessment. This study was conducted in a rehabilitation ward of a medical center in the northern part of Taiwan from …


Increased Risk Of Arrhythmia In Patients With Cervical Spinal Cord Injury: A Nationwide Population-Based Matched Cohort Study, Chia-Hsuan Lin, Yan-Yuh Lee, Chun-En Kuo, Po-Cheng Chen Dec 2020

Increased Risk Of Arrhythmia In Patients With Cervical Spinal Cord Injury: A Nationwide Population-Based Matched Cohort Study, Chia-Hsuan Lin, Yan-Yuh Lee, Chun-En Kuo, Po-Cheng Chen

Rehabilitation Practice and Science

Objective: To investigate the risk of cardiac arrhythmias among adults with spinal cord injury (SCI). Methods: This is a retrospective population-based matched cohort study. Data were derived from the National Health Insurance Research Database. This study identified all patients diagnosed with SCI from January 1, 2000 to December 31, 2013. Patients with SCI were categorized into the cervical SCI (C-SCI) and other SCI (O-SCI) groups according to the level of injury. The cumulative incidence of cardiac arrhythmias was compared between patients with C-SCI, those with O-SCI, and those without SCI. Cox proportional hazards regression model was used to assess the …


Kienböck's Disease In A Patient With Hemiparetic Stroke: A Casereport, Pao-Sheng Wu, Yen-Ting Cho Dec 2020

Kienböck's Disease In A Patient With Hemiparetic Stroke: A Casereport, Pao-Sheng Wu, Yen-Ting Cho

Rehabilitation Practice and Science

Kienböck's disease of the wrist is a multifactorial, progressive osteonecrosis of the lunate bone. Patients with this disease often complain of dorsal wrist pain and other wrist dysfunctions. Image studies are usually required for definite diagnosis; however, careful history taking and physical examination are also necessary. Treatment varies according to the stage of the disease; although surgery is needed in most of the cases, rehabilitation after the surgery seems helpful as well. Kienböck's disease is rarely seen in our daily practice, and even though we do recognize the disease, diagnosing it correctly in patients with comorbidities such as stroke is …


A Rare Presentation Of Myelopathy In Novice Surfers: A Casereport And Literature Reviewarticle, Ming-Hsuan Huang, Shu-Fen Sun, Min-Hui Li, Ping-Hong Lai Dec 2020

A Rare Presentation Of Myelopathy In Novice Surfers: A Casereport And Literature Reviewarticle, Ming-Hsuan Huang, Shu-Fen Sun, Min-Hui Li, Ping-Hong Lai

Rehabilitation Practice and Science

Introduction: Surfer's myelopathy is a nontraumatic, ischemic spinal cord injury that predominantly affects the lower thoracic cord. Owing to its clinical rarity, its pathophysiology and treatment protocol remain controversial. Frequently discussed hypotheses regarding its cause include ischemic change due to trunk hyperextension and the Valsalva maneuver, leading to back pain, weakness in the lower extremities, and bowel and bladder dysfunction. The prognosis varies widely, ranging from full recovery to paraplegia. casereport: We report the case of a 22-year-old female patient experiencing progressive loss of strength in the lower extremities and soreness in her lower back while surfing for the first …


Coinstantaneous Brachial Plexus Injuries In A 55-Year-Old Man With Traumatic Spinal Cord Injury: A Casereport And Literature Reviewarticle, Hong-Yi Lin, Jia-Yin Guo, Su-Ju Tsai Dec 2020

Coinstantaneous Brachial Plexus Injuries In A 55-Year-Old Man With Traumatic Spinal Cord Injury: A Casereport And Literature Reviewarticle, Hong-Yi Lin, Jia-Yin Guo, Su-Ju Tsai

Rehabilitation Practice and Science

脊髓損傷合併臂神經叢損傷臨床上少見且不易診斷與處置。過去研究的報告發生率約為0.6%到1.8%。在脊髓損傷的病人處置時,通常優先處理危及生命的傷害,且臂神經叢損傷的臨床表現也可能歸因於脊髓損傷而被忽略。本文報告一名55歲因車禍意外導致第四節脊髓損傷的男性病人,根據病人的身體檢查、神經學檢查發現右上肢深肌腱反射無反應,以及明顯不對稱的右上肢與左上肢肌力,經過神經傳導檢查及肌電圖檢查,確定該名病人為脊髓損傷合併臂神經叢損傷。同時罹患脊髓損傷及臂神經叢損傷的病人數量可能被低估,治療計畫及復健也更為複雜,早期診斷與適當治療是此類病人上肢功能恢復的重要關鍵。除了詳細探查脊髓損傷病人的臨床症狀、身體檢查、神經學檢查之外,電學診斷對於合併臂神經叢損傷的確診最有效益。


Economics Of Covid-19 Reading List, Sara Gundersen Dec 2020

Economics Of Covid-19 Reading List, Sara Gundersen

Economics Faculty Publications

Reading list for The Economics of COVID-19, taught in Fall 2020


Molecular Mechanism Of Cyanobacteria Circadian Clock Oscillator And Effect Of Co Factors On Its Oscillation, Manpreet Kaur Dec 2020

Molecular Mechanism Of Cyanobacteria Circadian Clock Oscillator And Effect Of Co Factors On Its Oscillation, Manpreet Kaur

Dissertations

The circadian rhythms arise as an adaptation to the environmental 24-hour day and night cycle due to Earth's rotation. These rhythms prepare organisms to align their internal biological activities and day to day behavior or events with the environmental change of the 24-hour day and night cycle. Circadian rhythms are found widely in all living kingdoms of life on Earth. Cyanobacteria are photosynthetic prokaryotes which first used to study these circadian rhythms. Among cyanobacterial species, Synechococcus elongatus PCC 7942 (henceforth, S. Elongatus) is the simplest organism with a durable and sturdy circadian clock and is study as a model organism. …


Coordination, Adaptation, And Complexity In Decision Fusion, Weiqiang Dong Dec 2020

Coordination, Adaptation, And Complexity In Decision Fusion, Weiqiang Dong

Dissertations

A parallel decentralized binary decision fusion architecture employs a bank of local detectors (LDs) that access a commonly-observed phenomenon. The system makes a binary decision about the phenomenon, accepting one of two hypotheses (H0 (“absent”) or H1 (“present”)). The k 1 LD uses a local decision rule to compress its local observations yk into a binary local decision uk; uk = 0 if the k 1 LD accepts H0 and uk = 1 if it accepts H1. The k 1 LD sends its decision uk over a noiseless dedicated channel to a Data Fusion Center (DFC). The DFC combines the …


Development Of Novel Inks And Approaches For Printing Tissues And Organs, Shen Ji Dec 2020

Development Of Novel Inks And Approaches For Printing Tissues And Organs, Shen Ji

Dissertations

Tissue engineering is a multidisciplinary field that investigates and develops new methods to repair, regenerate and replace damaged tissues and organs, or to develop biomaterial platforms as in vitro models. Tissue engineering approaches require the fabrication of scaffolds using biomaterials or fabrication of living tissues using cells. As the demands of customized, implantable tissue/organs are increasing and becoming more urgent, conventional scaffold fabrication approaches are difficult to meet the requirements, especially for complex large-scale tissue fabrication. In this regard, three-dimensional (3D) printing attracted more interest over the past decades due to its unrivaled ability to fabricate highly customized tissues or …


Drone-Assisted Emergency Communications, Di Wu Dec 2020

Drone-Assisted Emergency Communications, Di Wu

Dissertations

Drone-mounted base stations (DBSs) have been proposed to extend coverage and improve communications between mobile users (MUs) and their corresponding macro base stations (MBSs). Different from the base stations on the ground, DBSs can flexibly fly over and close to MUs to establish a better vantage for communications. Thus, the pathloss between a DBS and an MU can be much smaller than that between the MU and MBS. In addition, by hovering in the air, the DBS can likely establish a Line-of-Sight link to the MBS. DBSs can be leveraged to recover communications in a large natural disaster struck area …


A Deep Machine Learning Approach For Predicting Freeway Work Zone Delay Using Big Data, Abdullah Shabarek Dec 2020

A Deep Machine Learning Approach For Predicting Freeway Work Zone Delay Using Big Data, Abdullah Shabarek

Dissertations

The introduction of deep learning and big data analytics may significantly elevate the performance of traffic speed prediction. Work zones become one of the most critical factors causing congestion impact, which reduces the mobility as well as traffic safety. A comprehensive literature review on existing work zone delay prediction models (i.e., parametric, simulation and non-parametric models) is conducted in this research. The research shows the limitations of each model. Moreover, most previous modeling approaches did not consider user delay for connected freeways when predicting traffic speed under work zone conditions. This research proposes Deep Artificial Neural Network (Deep ANN) and …


Human-Robot Interaction For Assistive Robotics, Jiawei Li Dec 2020

Human-Robot Interaction For Assistive Robotics, Jiawei Li

Dissertations

This dissertation presents an in-depth study of human-robot interaction (HRI) withapplication to assistive robotics. In various studies, dexterous in-hand manipulation is included, assistive robots for Sit-To-stand (STS) assistance along with the human intention estimation. In Chapter 1, the background and issues of HRI are explicitly discussed. In Chapter 2, the literature review introduces the recent state-of-the-art research on HRI, such as physical Human-Robot Interaction (HRI), robot STS assistance, dexterous in hand manipulation and human intention estimation. In Chapter 3, various models and control algorithms are described in detail. Chapter 4 introduces the research equipment. Chapter 5 presents innovative theories and …


Experiments And Modeling Of The Chemo-Mechanically Coupled Behavior Of Polymeric Gels, Nikola Bosnjak Dec 2020

Experiments And Modeling Of The Chemo-Mechanically Coupled Behavior Of Polymeric Gels, Nikola Bosnjak

Dissertations

Polymeric materials consist of mutually entangled or chemically crosslinked long njitmolecular chains which form a polymer network. Due to their molecular structure, the njitpolymeric materials are known to undergo large deformation in response to various njitenvironmental stimuli, such as temperature, chemical potential and light.

When a polymer network is exposed to a suitable chemical solvent, the solvent molecules are able to diffuse inside the network, causing it to undergo a large volumetric deformation, known as swelling. In addition to volumetric deformation, this process involves the chemical mixing of the polymer network and solvent molecules, and is typically environmentally responsive. A …


High-Speed Rail Safety Analysis Based On Dual-Weighted Complex Network, Liu Lv Dec 2020

High-Speed Rail Safety Analysis Based On Dual-Weighted Complex Network, Liu Lv

Dissertations

This study uses a complex network model to analyze the causes of accidents in high-speed railway operations. By identifying the key factors that led to high-speed railway accidents, hidden safety hazards were discovered. This will help improve the operational safety of the U.S. high-speed rail line under construction.

The analysis uses the regional high-speed railway network in Guangzhou, China as a case study, including the railway (including high-speed railway) accidents that occurred in the company's jurisdiction from 2013 to 2017. With comparative analysis between general railways and high-speed railways, the changes of high-speed railway safety factors are explored. Data analysis …


Supporting User Interaction And Social Relationship Formation In A Collaborative Online Shopping Context, Yu Xu Dec 2020

Supporting User Interaction And Social Relationship Formation In A Collaborative Online Shopping Context, Yu Xu

Dissertations

The combination of online shopping and social media allow people with similar shopping interests and experiences to share, comment, and discuss about shopping from anywhere and at any time, which also leads to the emergence of online shopping communities. Today, more people turn to online platforms to share their opinions about products, solicit various opinions from their friends, family members, and other customers, and have fun through interactions with others with similar interests. This dissertation explores how collaborative online shopping presents itself as a context and platform for users' interpersonal interactions and social relationship formation through a series of studies. …


Dances And Escape Of The Vortex Quartet, Brandon Behring Dec 2020

Dances And Escape Of The Vortex Quartet, Brandon Behring

Dissertations

This dissertation considers the linear stability of a one-parameter family of periodic solutions of the four-vortex problem known as 'leapfrogging' orbits. These solutions, which consist of two pairs of identical yet oppositely-signed vortices, were known to W. Gröbli (1877) and A. E. H. Love (1883) and can be parameterized by a dimensionless parameter related to the geometry of the initial configuration. Simulations by Acheson and numerical Floquet analysis by Tophøj and Aref both indicate, to many digits, that the bifurcation occurs at a value related to the inverse square of the golen ratio. Acheson observed that, after an initial period …


Online Fulfillment: F-Warehouse Order Consolidation And Bops Store Picking Problems, Wen Zhu Dec 2020

Online Fulfillment: F-Warehouse Order Consolidation And Bops Store Picking Problems, Wen Zhu

Dissertations

Fulfillment of online retail orders is a critical challenge for retailers since the legacy infrastructure and control methods are ill suited for online retail. The primary performance goal of online fulfillment is speed or fast fulfillment, requiring received orders to be shipped or ready for pickup within a few hours. Several novel numerical problems characterize fast fulfillment operations and this research solves two such problems. Order fulfillment warehouses (F-Warehouses) are a critical component of the physical internet behind online retail supply chains. Two key distinguishing features of an F-Warehouse are (i) Explosive Storage Policy – A unique item can be …


Characterizing Reactive Iron Mineral Coatings And Their Roles In Natural Attenuation At A Site With Historical Contamination, Han Hua Dec 2020

Characterizing Reactive Iron Mineral Coatings And Their Roles In Natural Attenuation At A Site With Historical Contamination, Han Hua

Dissertations

Reactive iron mineral coatings in redox transition zones play an important role in contaminant attenuation. These mineral coatings include poorly crystalline to crystalline iron sulfides, carbonates, and oxyhydroxides, and are a signature of the biogeochemical processes occurring. To better understand these processes, reactive iron mineral coatings are characterized in an 18-m Anaerobic Core collected from a contaminated industrial site. This study targets redox transition zones uncovered in the core. A suite of complementary analyses is applied to distinguish the surface coating mineralogy using X-ray Diffraction, X-ray fluorescence, and field-emission scanning electron microscopy (FESEM) with energy dispersive X-ray analyzer (EDX). In …


The Aging And Impacts Of Atmospheric Soot: Closing The Gap Between Experiments And Models, Ogochukwu Yvonne Enekwizu Dec 2020

The Aging And Impacts Of Atmospheric Soot: Closing The Gap Between Experiments And Models, Ogochukwu Yvonne Enekwizu

Dissertations

The main goal of this dissertation is to generate data and parameterizations to accurately represent soot aerosols in atmospheric models. Soot from incomplete combustion of fossil fuels and biomass burning is a major air pollutant and a significant contributor to climate warming. The environmental impacts of soot are strongly dependent on the particle morphology and mixing state, which evolve continuously during atmospheric transport via a process known as aging. To make predictions of soot impacts on the environment, most atmospheric models adopt simplifications of particle structure and mixing state, which lead to substantial uncertainties. Using an experimentally constrained modeling approach, …


Performance Optimization Of Big Data Computing Workflows For Batch And Stream Data Processing In Multi-Clouds, Huiyan Cao Dec 2020

Performance Optimization Of Big Data Computing Workflows For Batch And Stream Data Processing In Multi-Clouds, Huiyan Cao

Dissertations

Workflow techniques have been widely used as a major computing solution in many science domains. With the rapid deployment of cloud infrastructures around the globe and the economic benefits of cloud-based computing and storage services, an increasing number of scientific workflows have migrated or are in active transition to clouds. As the scale of scientific applications continues to grow, it is now common to deploy various data- and network-intensive computing workflows such as serial computing workflows, MapReduce/Spark-based workflows, and Storm-based stream data processing workflows in multi-cloud environments, where inter-cloud data transfer oftentimes plays a significant role in both workflow performance …


Memory Of The Turkic World: Historical Records Of Turkic-Speaking Prisoners-Of-War Of The Vienna Phonogram Archive, Fatima Nurlybayeva Dec 2020

Memory Of The Turkic World: Historical Records Of Turkic-Speaking Prisoners-Of-War Of The Vienna Phonogram Archive, Fatima Nurlybayeva

Eurasian music science journal

The first historical sound recordings of the Turkic-speaking peoples, which are of significant historical, cultural and scientific value, are kept separately in various foreign archives and have not received a complete and comprehensive study. This article provides an overview of archival materials and information about the sound collections of the music of Turkic-speaking prisoners-of war, kept in the Vienna Phonogram Collections of the Archives of the Austrian Academy of Sciences. The materials were prepared by the author during a scientific trip to the Vienna Phonogram Archive in 2019, as part of a scientific project of the International Organization of Turkic …


Film Music Of Uzbekistan In The Context Of The Problem Of The Synthesis Of Arts, Shoyista Ganikhanova Dec 2020

Film Music Of Uzbekistan In The Context Of The Problem Of The Synthesis Of Arts, Shoyista Ganikhanova

Eurasian music science journal

The visual interpretation of the film image by means of musical art has developed into a special area of composer's creativity. Having applied significance, film music has developed certain tendencies and genre-style parameters, a complex system of functioning of its illustrative properties has developed. Accordingly, the spectrum of interaction between music and images is very wide and diverse. The technical features of the creation of a film work influenced the formation of new forms of interconnection of expressive means. Experience in applied genres has led to the formation in the Uzbek school of composition, a peculiar national style and artistic …


Sonatina For Cello And Piano By Zoltan Kodaly In The Light Of Stile Evolution, Galiaskar Bigashev Dec 2020

Sonatina For Cello And Piano By Zoltan Kodaly In The Light Of Stile Evolution, Galiaskar Bigashev

Eurasian music science journal

The creative heritage of Zoltan Kodaly, an outstanding Hungarian composer and folklorist of the twentieth century, attracts attention with its deeply original national character, classical style and mastery of musical forms. However, often in the sphere of interests of musicologists, the analysis of his innovative musical and pedagogical system, symphonic and vocal music, prevails. Considering in this article one of the little-studied rarely performed Kodaly’s works - Sonatina for cello and piano-this paper fill the gap. Sonatina analyzed in a complex way: from the point of view of its formal structure, expressive features, style and musical language as such. The …


Аn Optical Study Of Strain Relaxation And Interdiffusion In Znse/Zncdse Quantum Wells Modified By Γ-Irradiation, Muratbay B. Sharibaev, Kanatbay A. Ismailov, Ibrohim N. Karimov, Murodjon Z. Nosirov Dec 2020

Аn Optical Study Of Strain Relaxation And Interdiffusion In Znse/Zncdse Quantum Wells Modified By Γ-Irradiation, Muratbay B. Sharibaev, Kanatbay A. Ismailov, Ibrohim N. Karimov, Murodjon Z. Nosirov

Scientific Bulletin. Physical and Mathematical Research

If we turn to the literature data, it is known that the degradation of CdZnTe / ZnTe and CdZnSe /ZnSe quantum wells and usually includes two types of processes: (i) fast (as called dynamic, by analogy with the degradation of heterostructures based on A3B5 materials) - germination and propagation of extended defects from a GaAs substrate. This process in CdZnSe / ZnSe is slowed down by various technological methods (treatment of a substrate in sulfur; reduction of a damaged layer in a GaAs substrate; deposition of a GaAs epitaxial buffer layer; use of the concept of compensation of bipolar stresses; …


Local And 2-Local Derivations Of Solvable Leibniz Algebras With Null-Filiform Nilradical, Sardorbek Umrzaqov Dec 2020

Local And 2-Local Derivations Of Solvable Leibniz Algebras With Null-Filiform Nilradical, Sardorbek Umrzaqov

Scientific Bulletin. Physical and Mathematical Research

In the works of Ayupov, Khudoyberdiyev and Yusupov proved that the local and 2-local derivation of solvable Leibniz algebras with model nilradical are derivations. Solvable Leibniz algebras with null-filiform nilradical are the partial case of solvable Leibniz algebras with model nilradical. However, the proof in the paper is different from model nilradical case. The derivation is a fundamental notion in mathematics. Derivations play a prominent role in algebra. There are many generalizations of derivations as antiderivation, δ-derivations, ternary derivations and (α,β,γ)-derivations. One of the important generalizations of derivation is local and 2-local derivations. Local derivations defined by Kadison, Larson and …