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Articles 82711 - 82740 of 1326795
Full-Text Articles in Entire DC Network
Study On Factors Influencing The Strong Chromatic Index Of Graphs Derived From Path Graphs, Star Graphs, And Cycle Graphs, Vikram St
Theses and Dissertations
Graph coloring is a major research area in Graph Theory that has a rich collection of research articles contributed by mathematicians across the world. This thesis focuses on a specific type of Graph coloring where the edges of a graph are colored by a principle called strong edge-coloring. There have been numerous research articles published on the least number of colors required to define such a coloring for a given graph G. This least number, χ′s (G), is called as the strong chromatic index of a graph G. Though conjectures stated as early as 1989 remain unsolved, there have been …
What Constitutes Adequate Control Of High Blood Pressure? Current Considerations, Donald E. Casey, Alexander J. Blood, Stephen D. Persell, Daniel Pohlman, Jeff D. Williamson
What Constitutes Adequate Control Of High Blood Pressure? Current Considerations, Donald E. Casey, Alexander J. Blood, Stephen D. Persell, Daniel Pohlman, Jeff D. Williamson
College of Population Health Faculty Papers
An estimated 45% of adult Americans currently have high blood pressure (HBP). Effective blood pressure (BP) control is essential for preventing major adverse events from cardiovascular and other vascular-related diseases, such as chronic kidney disease, stroke and dementia. A large and growing number of medical professional societies, health care organizations, and governmental agencies have now endorsed a clinical practice guideline-based target for adequate control of HBP to a systolic BP of less than 130 mm Hg. However, adequate BP control to this goal has been recently estimated to be as low as 30%. The first and most important steps to …
Optimizing Associative Memory In Autistic And Non-Autistic Adults: Retrieval Practice, Post-Retrieval Feedback, And Gesture, Brianna E. Cairney
Optimizing Associative Memory In Autistic And Non-Autistic Adults: Retrieval Practice, Post-Retrieval Feedback, And Gesture, Brianna E. Cairney
LSU Doctoral Dissertations
Associative memory—or the ability to form a memory representation linking two previously unrelated concepts—is a critical aspect of learning. This work provides insight into strategies that can be used to support associative memory, their underlying mechanisms, and their effectiveness in autistic and non-autistic learners. Chapter 1 demonstrates that iconic gestures can be used as a tool to enhance associative memory by increasing word concreteness and imageability. This effect was eliminated when the iconic gestures were interspersed with ambiguous nonsense gestures, suggesting a boundary on these benefits that depends on listener expectations regarding gesture clarity. However, it remains unknown whether gestures …
Hur Controls Glutaminase Rna Metabolism, Douglas Adamoski, Larissa M Dos Reis, Ana Carolina Paschoalini Mafra, Felipe Corrêa-Da-Silva, Pedro Manoel Mendes De Moraes-Vieira, Ioana Berindan-Neagoe, George A Calin, Sandra Martha Gomes Dias
Hur Controls Glutaminase Rna Metabolism, Douglas Adamoski, Larissa M Dos Reis, Ana Carolina Paschoalini Mafra, Felipe Corrêa-Da-Silva, Pedro Manoel Mendes De Moraes-Vieira, Ioana Berindan-Neagoe, George A Calin, Sandra Martha Gomes Dias
Faculty, Staff and Student Publications
Glutaminase (GLS) is directly related to cell growth and tumor progression, making it a target for cancer treatment. The RNA-binding protein HuR (encoded by the ELAVL1 gene) influences mRNA stability and alternative splicing. Overexpression of ELAVL1 is common in several cancers, including breast cancer. Here we show that HuR regulates GLS mRNA alternative splicing and isoform translation/stability in breast cancer. Elevated ELAVL1 expression correlates with high levels of the glutaminase isoforms C (GAC) and kidney-type (KGA), which are associated with poor patient prognosis. Knocking down ELAVL1 reduces KGA and increases GAC levels, enhances glutamine anaplerosis into the TCA cycle, and …
A Wrong Made Right: A Qualitative Cross-Case Comparison Study Examining Program Influences On College Readiness, Persistence, And Student Success Outcomes At A Predominantly White University And Historically Black College, Richard Harper
Theses and Dissertations
The increase of underprepared students entering college decreases persistence and graduation rates at postsecondary institutions, ultimately declining degree attainment and social mobility of American citizens (U.S. Department of Education, 2016, McGuire, 2018). ACT, Inc. (2017) data suggests that overwhelming percentages of high school graduates are academically underprepared and are not college-ready. Moreover, an overwhelming number of academically underprepared students come from historically underrepresented populations. To help increase access and college readiness among these populations, specialized programs and services must be implemented to ensure these students are successful at the college level. The Dr. Charles W. Donaldson Scholars Academy is a …
Effects Of Delay On Short-And Long-Term False Memories For Semantic And Phonological Lists, Ece Yuksel
Effects Of Delay On Short-And Long-Term False Memories For Semantic And Phonological Lists, Ece Yuksel
Theses and Dissertations
The Deese/Roediger-McDermott (DRM) paradigm was developed to investigate false memory using lists of words related to an associated, non-present lure. The purpose of the present study was to examine the differences in memory errors for semantic and phonological lists across delays using the DRM paradigm. Previous studies have shown that the higher rates of false memories for semantic than phonological lists typically seen at longer delays is reversed for very short delays (McBride et al., 2019). Delays of 750 ms, 60 s, 90 s, and 2 min, were included to examine the false memory error rates in semantic and phonological …
Author Correction: Distinct Molecular And Immune Hallmarks Of Inflammatory Arthritis Induced By Immune Checkpoint Inhibitors For Cancer Therapy, Sang T Kim, Yanshuo Chu, Mercy Misoi, Maria E Suarez-Almazor, Jean H Tayar, Huifang Lu, Maryam Buni, Jordan Kramer, Emma Rodriguez, Zulekha Hussain, Sattva S Neelapu, Jennifer Wang, Amishi Y Shah, Nizar M Tannir, Matthew T Campbell, Don L Gibbons, Tina Cascone, Charles Lu, George R Blumenschein, Mehmet Altan, Bora Lim, Vincente Valero, Monica E Loghin, Janet Tu, Shannon N Westin, Aung Naing, Guillermo Garcia-Manero, Noha Abdel-Wahab, Hussein A Tawbi, Patrick Hwu, Isabella C Glitza Oliva, Michael A Davies, Sapna P Patel, Jun Zou, Andrew Futreal, Adi Diab, Linghua Wang, Roza Nurieva
Author Correction: Distinct Molecular And Immune Hallmarks Of Inflammatory Arthritis Induced By Immune Checkpoint Inhibitors For Cancer Therapy, Sang T Kim, Yanshuo Chu, Mercy Misoi, Maria E Suarez-Almazor, Jean H Tayar, Huifang Lu, Maryam Buni, Jordan Kramer, Emma Rodriguez, Zulekha Hussain, Sattva S Neelapu, Jennifer Wang, Amishi Y Shah, Nizar M Tannir, Matthew T Campbell, Don L Gibbons, Tina Cascone, Charles Lu, George R Blumenschein, Mehmet Altan, Bora Lim, Vincente Valero, Monica E Loghin, Janet Tu, Shannon N Westin, Aung Naing, Guillermo Garcia-Manero, Noha Abdel-Wahab, Hussein A Tawbi, Patrick Hwu, Isabella C Glitza Oliva, Michael A Davies, Sapna P Patel, Jun Zou, Andrew Futreal, Adi Diab, Linghua Wang, Roza Nurieva
Faculty, Staff and Student Publications
No abstract provided.
How Household Economic Stress Matters: Family Functioning And Child Externalizing And Internalizing Behaviors, Jun-Hong Chen
How Household Economic Stress Matters: Family Functioning And Child Externalizing And Internalizing Behaviors, Jun-Hong Chen
Brown School Graduate Student Theses and Dissertations
This dissertation investigates the multifaceted dynamics of long-term economic stress and its association with subsequent caregiver psychological well-being and children's internalizing and externalizing behaviors. For a comprehensive measure of household economic stress, this dissertation delves into the severity, duration, and fluctuation of economic stress, considering diverse income and asset profiles. The research framework utilizes and integrates a range of existing theories to create a context for understanding the intricate interplay between economic stress, caregiver mental health, and children's behavioral outcomes. Data are drawn from the Panel Study of Income Dynamics, which includes both information about household economic stress and child …
Proton Magnetic Resonance Spectroscopy (1h-Mrs) As A Potential Tool To Predict Overall Survival In Diffuse Midline Glioma, Esther L. Pavao
Proton Magnetic Resonance Spectroscopy (1h-Mrs) As A Potential Tool To Predict Overall Survival In Diffuse Midline Glioma, Esther L. Pavao
Electronic Theses and Dissertations Archive
Proton magnetic resonance spectroscopy (1H-MRS) offers a reliable clinically feasible tool for non-invasive monitoring of tumor metabolism. However, methods for analyzing tumor metabolism using 1H-MRS often lack standardization and rely heavily on manual data processing. This study used 1H-MRS to non-invasively quantify tumor metabolites associated with dysregulated metabolic pathways in patients diagnosed with diffuse intrinsic pontine glioma (DIPG). 1H-MRS technique allowed for the identification of specific metabolic alterations to DIPG that could potentially offer insights into disease progression and therapeutic targets. Utilizing advanced biomedical engineering tools and techniques, we calculated median overall survival lengths at specific metabolic thresholds. The analysis …
Conservation And Management Of Chondrichthyans In The Mediterranean Sea: Gaps, Overlaps, Inconsistencies, And The Way Forward, Jason Lowther, Lydia Koehler, Ioannis Giovos, Jennifer M. Pytka, Monica Barone, Camille Loth, Dimitirios K. Moutoploulos, Simone Niedermuller, Carlotta Mazzoldi
Conservation And Management Of Chondrichthyans In The Mediterranean Sea: Gaps, Overlaps, Inconsistencies, And The Way Forward, Jason Lowther, Lydia Koehler, Ioannis Giovos, Jennifer M. Pytka, Monica Barone, Camille Loth, Dimitirios K. Moutoploulos, Simone Niedermuller, Carlotta Mazzoldi
School of Law, Humanities and Social Sciences
Over one third of sharks, rays and chimaeras (chondrichthyans) are threatened with extinction globally. In the Mediterranean Sea, more than half of chondrichthyan species face this risk, although a variety of international, regional, and national rules and regulations apply directly and indirectly targeting management and conservation for these species. In this work, we provide an overview of relevant legislation and policies in the region, which regulate, inter alia, commercial fisheries, while highlighting through cases studies how implementation in practice at national level looks like. Horizontal gaps and inconsistencies that hinder chondrichthyan management in the region are also illustrated. Furthermore, we …
Evaluating The Quality Of Serial Em Sections With Deep Learning, Mahsa Bank Tavakoli, Josh L Morgan
Evaluating The Quality Of Serial Em Sections With Deep Learning, Mahsa Bank Tavakoli, Josh L Morgan
2020-Current year OA Pubs
Automated image acquisition can significantly improve the throughput of serial section scanning electron microscopy (ssSEM). However, image quality can vary from image to image depending on autofocusing and beam stigmation. Automatically evaluating the quality of images is, therefore, important for efficiently generating high-quality serial section scanning electron microscopy (ssSEM) datasets. We tested several convolutional neural networks for their ability to reproduce user-generated evaluations of ssSEM image quality. We found that a modification of ResNet-50 that we term quality evaluation Network (QEN) reliably predicts user-generated quality scores. Running QEN in parallel to ssSEM image acquisition therefore allows users to quickly identify …
Exploring The Functionality Of Technology-Driven Cpr Training Methodologies Among Healthcare Practitioners: A Randomized Control Pilot Study, Nazrin Ahmad, Mazlinda Musa, Fairrul Kadir, Syed Sharizman, Aizuddin Hidrus, Hamidah Hassan, Rohani Mamat, Baidi Baddiri
Exploring The Functionality Of Technology-Driven Cpr Training Methodologies Among Healthcare Practitioners: A Randomized Control Pilot Study, Nazrin Ahmad, Mazlinda Musa, Fairrul Kadir, Syed Sharizman, Aizuddin Hidrus, Hamidah Hassan, Rohani Mamat, Baidi Baddiri
Journal of the Saudi Heart Association
Introduction: Cardiopulmonary resuscitation training in Malaysia has evolved from traditional to modern approaches, embracing technology for better outcomes. Smartphone-based training apps offer interactive learning with simulations and real-time feedback, improving cardiopulmonary resuscitation skills anytime, anywhere. This study evaluates the effectiveness of the smart-cardiopulmonary resuscitation application for healthcare practitioners. Methods: This randomized controlled pilot study was conducted with 30 healthcare practitioners at the University of Malaysia Sabah. Participants underwent a Cardiopulmonary Resuscitation Practical formal educational training program, and data were collected using a Basic Life Support questionnaire and skills assessment checklist sourced from the American Heart Association (2020). Data analysis was …
How To Be In Two Places At Once: A Search For The Immersive Experience In Renaissance Music And Visual Arts., Andrew Hallock
How To Be In Two Places At Once: A Search For The Immersive Experience In Renaissance Music And Visual Arts., Andrew Hallock
Journal of Network Music and Arts
Immersion is a hot topic, but it is often invoked in a vague or shallow way. This essay aims to arrive at a more nuanced consideration of the immersive experience by presenting some perhaps surprising arguments from the past—from Renaissance music and visual arts—drawing parallels with our own time, and positing that the Network Arts can take inspiration from this history to enhance its own immersive endeavours. Four interrelated topics serve as the basis for this investigation: miniature devotionalia, polyphonic canons, anamorphic puzzles, and early cosmology. By using perspective to disclose hidden meanings, ideas, and realities, these varied practices draw …
Connectivity, Presence, And Time: A Pedagogical Experience With Telematic Music, Cássia Carrascoza Bomfim, Alexandre Ficarelli, Danilo Rossetti
Connectivity, Presence, And Time: A Pedagogical Experience With Telematic Music, Cássia Carrascoza Bomfim, Alexandre Ficarelli, Danilo Rossetti
Journal of Network Music and Arts
This article aims to discuss the notions of connectivity, presence, and time in the specific context of telematic music. To do so, we describe the work of the Telematic Ensemble LaFlauta, formed by students and professors from the University of São Paulo, Ribeirão Preto campus, for performance at the NowNet Arts Conference 2023.4 This work involved rehearsals and performances of three compositions dedicated to the group: Virtual Studies (2023) by Paulo C. Chagas, Modules 2 - My Words (2023) by Cássia Carrascoza, and Textural Studies (2023) by Danilo Rossetti. We conclude that the positive results of telematic music in a …
The Lived Clinical Experiences Of Expatriate Athletic Trainers, Emily K. Mulkey, Elizabeth R. Neil, Trisha Cousins, Mary Murray
The Lived Clinical Experiences Of Expatriate Athletic Trainers, Emily K. Mulkey, Elizabeth R. Neil, Trisha Cousins, Mary Murray
Internet Journal of Allied Health Sciences and Practice
One of the ways that healthcare systems have adapted to the needs of patient care is to expand the role of allied healthcare professionals. The utilization of these clinicians, with wide-ranging skill sets, allows for increased adaptability and improved patient outcomes.1 Expansion of physician reach through allied health professions provides improved connectivity to patients.2 While medical communities all have a common goal, the healthcare system varies among nations in terms of the representation of allied healthcare professions.2 Within the United States (US), one of the most versatile allied health professions is athletic training. With a skill set …
One Life For Many, Alma E. Gomez Etienne
One Life For Many, Alma E. Gomez Etienne
2023 HCA Healthcare Journal of Medicine Art Contest
This play is based on 2 moments in my life that changed the way I see healthcare. I am forever fractured. Trust is a powerful thing and in moments you can lose a patients trust. I believe that we are all hidden figures we can impact a family and in certain situations they can impact us. These moments can change you for life. If the family, sees you do everything for their loved ones they might cry and scream but they can go to bed with peace in their heart that you have done everything for their loved ones. I …
Method, System, And Computer Program Product For Object-Oriented Reporting, Gregory Paul Loomis Visa
Method, System, And Computer Program Product For Object-Oriented Reporting, Gregory Paul Loomis Visa
Defensive Publications Series
A method, system, and computer program product are provided for object oriented reporting. The method includes receiving transaction data associated with a plurality of transactions for at least one account, the transaction data comprising a plurality of fields, generating a data library comprising a plurality of modular and self-contained certified data objects, each modular data and self-contained certified object of the plurality of modular and self-contained certified data objects corresponding to at least one field of the plurality of fields, each modular and self-contained certified data object comprising a tag, a length, and a value, generating a string comprising the …
“Dynamic Schema Evolution”, Harshwardhan Tripathi
“Dynamic Schema Evolution”, Harshwardhan Tripathi
Defensive Publications Series
The present disclosure provides a solution for seamless integration of data from diverse sources by dynamically managing schema changes. The solution comprises establishing a base schema during data processing and comparing it to incoming data layouts. Any detected changes, such as new tags or fields, are automatically managed within a staging layer, preventing disruptions to the main dataset. These changes are reviewed by Business and Engineering teams for relevance and compatibility. Only after thorough validation, approved changes are processed into the final dataset. This approach ensures that only validated and reliable data is integrated, maintaining data integrity and minimizing disruptions. …
System And Method For Configurable Vehicle Metrics Collection And Reporting, Selim Gurun, Umang Bhatia, Rui Qiu, Sergey Grizan
System And Method For Configurable Vehicle Metrics Collection And Reporting, Selim Gurun, Umang Bhatia, Rui Qiu, Sergey Grizan
Defensive Publications Series
This publication describes systems and techniques for implementing a vehicle communications language for describing vehicle system data sources, data collection rules, data processing, and data results using Protobuf for serializing data and establishing an interface description language for communications among various vehicle systems and vehicle data sources. Described techniques may enable vehicle data collection, vehicle data configuration and report generation. Aspects of the disclosure may include end-to-end cloud integration for vehicle systems and data sources utilizing a digital twin of a subject vehicle within the infrastructure of a cloud services provider and defining within the digital twin, available vehicle services, …
Eddy Current Non-Destructive Evaluation Of Stator Winding Weld Quality, Anonymous
Eddy Current Non-Destructive Evaluation Of Stator Winding Weld Quality, Anonymous
Defensive Publications Series
No abstract provided.
The Impact Of Digital Transformation On Improving Audit Quality In Palestine: Empirical Evidence, Iskandar Nashwan
The Impact Of Digital Transformation On Improving Audit Quality In Palestine: Empirical Evidence, Iskandar Nashwan
Journal of the Arab American University مجلة الجامعة العربية الامريكية للبحوث
The objective of this study was to determine the impact of digital transformation on improving audit quality through its important stages of planning, implementation, and reporting. The data was collected using the descriptive analytical approach based on a questionnaire. The study was applied to the study population of all auditors working in different accounting and auditing firms in the Gaza Strip, where the number of those firms reached 48 accounting and auditing firms, with 144 auditors working according to the records of the Union of Accountants and Auditors in Gaza Strip. As a result, purposive sampling was used due to …
Efficient Time-Dependent Method For Strong-Field Ionization Of Atoms With Smoothly Varying Radial Steps, Nicolas Douguet, Mikhail Guchkov, Klaus Bartschat, Samantha Fonseca Douguet
Efficient Time-Dependent Method For Strong-Field Ionization Of Atoms With Smoothly Varying Radial Steps, Nicolas Douguet, Mikhail Guchkov, Klaus Bartschat, Samantha Fonseca Douguet
Faculty Publications
We present an efficient numerical method to solve the time-dependent Schrödinger equation in the single-active electron picture for atoms interacting with intense optical laser fields. Our approach is based on a non-uniform radial grid with smoothly increasing steps for the electron distance from the residual ion. We study the accuracy and efficiency of the method, as well as its applicability to investigate strong-field ionization phenomena, the process of high-order harmonic generation, and the dynamics of highly excited Rydberg states.
Phylogenomics Recovers Multiple Origins Of Portable Case Making In Caddisflies (Insecta: Trichoptera), Nature's Underwater Architects, Paul B. Frandsen, Ralph W. Holzenthal, Marianne Espeland, Jesse Breinholt, Jessica A. Thomas Thorpe, Sabrina Simon, Akito Y. Kawahara, David Plotkin, Scott Hotaling, Yiyuan Li, C. Riley Nelson, Oliver Niehuis, Christoph Mayer, Lars Podsiadlowski, Alexander Donath, Bernhard Misof, Emily Moriarty Lemmon, Alan Lemmon, John C. Morse, Shanlin Liu, Steffen U. Pauls, Xin Zhou
Phylogenomics Recovers Multiple Origins Of Portable Case Making In Caddisflies (Insecta: Trichoptera), Nature's Underwater Architects, Paul B. Frandsen, Ralph W. Holzenthal, Marianne Espeland, Jesse Breinholt, Jessica A. Thomas Thorpe, Sabrina Simon, Akito Y. Kawahara, David Plotkin, Scott Hotaling, Yiyuan Li, C. Riley Nelson, Oliver Niehuis, Christoph Mayer, Lars Podsiadlowski, Alexander Donath, Bernhard Misof, Emily Moriarty Lemmon, Alan Lemmon, John C. Morse, Shanlin Liu, Steffen U. Pauls, Xin Zhou
Watershed Sciences Faculty Publications
Caddisflies (Trichoptera) are among the most diverse groups of freshwater animals with more than 16 000 describes species. They play a fundamental role in freshwater ecology and environmental engineering in streams, rivers and lakes. Because of this, they are frequently used as indicator organisms in biomonitoring programmes. Despite their importance, key questions concerning the evolutionary history of caddisflies, such as the timing and origin of larval case making, remain unanswered owing to the lack of a well-resolved phylogeny. Here, we estimated a phylogenetic tree using a combination of transcriptomes and targeted enrichment data for 207 species, representing 48 of 52 …
Investigating The Role Of Betrayal Blindness Between High Betrayal Trauma And Dating Violence Among Young Mothers Maltreated As Children, Lauren Catherine Wallace
Investigating The Role Of Betrayal Blindness Between High Betrayal Trauma And Dating Violence Among Young Mothers Maltreated As Children, Lauren Catherine Wallace
Theses and Dissertations
Young mothers experience greater rates of dating violence (DV) victimization and perpetration compared to their non-parenting, female peers as well as older mothers (Joly & Connolly, 2016). Child maltreatment is a salient predictor of DV victimization and perpetration (Li et al., 2019; Murphy et al., 2020). According to Betrayal Trauma Theory (BTT), child maltreatment perpetrated by a close loved one, such as a parent or primary caregiver, is defined as a high betrayal trauma (Freyd, 1996). Young mothers who experienced a high betrayal trauma may endorse betrayal blindness as a way to cope with abuse from their caregiver (Freyd & …
The Shell Tutor: An Intelligent Tutoring System For The Unix Command Shell And Git, Jaxton Winder, Erik Falor, Seth Poulsen, John Edwards
The Shell Tutor: An Intelligent Tutoring System For The Unix Command Shell And Git, Jaxton Winder, Erik Falor, Seth Poulsen, John Edwards
Computer Science Faculty and Staff Publications
The command shell and Git are important tools for computer scientists to learn and is taught in many computer science curricula. Many tools used by computer scientists are primarily interfaced through the command shell, such as Git. However, there have been few studies and interventions designed to assist in understanding student behaviors in the command shell and better teaching of it. This paper aims to provide an overview and reflection of a novel intelligent tutoring system we developed, the Shell Tutor, which assists in teaching students the command shell and Git. This paper will also analyze features of this tool …
The Kislak Co Inc V. B&M Estates Llc
The Kislak Co Inc V. B&M Estates Llc
2024 Decisions
USDC for the District of New Jersey
Experimentation With Speech Recognition And Word Error Rates, Sarah Zelikovitz, Orit D. Gruber
Experimentation With Speech Recognition And Word Error Rates, Sarah Zelikovitz, Orit D. Gruber
Open Educational Resources
In this lab you will be using the speech recognition program in Windows. After the initial training session, you will proceed to conduct experiments to evaluate the accuracy of the speech program.
At the end of this lab, you will be able to answer the following questions:
What is the purpose of speech recognition programs ?
- What are some applications of speech recognition programs ?
- What is the metric to evaluate speech recognition programs?
- What parameters are used to test speech recognition programs?
Interior Schauder-Type Estimates For M − Th Order Elliptic Operators Inrearrangement-Invariant Sobolev Spaces, Emi̇nağa M. Mamedov, Şeyma Çeti̇n
Interior Schauder-Type Estimates For M − Th Order Elliptic Operators Inrearrangement-Invariant Sobolev Spaces, Emi̇nağa M. Mamedov, Şeyma Çeti̇n
Turkish Journal of Mathematics
In this study, we investigate the m-th order elliptic operators on n-dimensional bounded domain Ω ⊂ Rnwith discontinuous coefficients in the rearrangement-invariant Sobolev space WmX (Ω). In general, the consideredrearrangement-invariant spaces are not separable, so the use of classical methods in these spaces requires substantialmodification of classical methods and a lot of preparation, concerning correctness of substitution operator, problemsrelated to the extension operator in such spaces, etc. For this purpose, the corresponding separable subspaces of thesespaces, in which the set of compact supported infinitely differentiable functions is dense, are introduced based on theshift operator. We establish interior Schauder-type estimates in …