03856nam 22007332 450 991081015320332120151005020621.01-139-88774-21-139-08466-61-107-08994-81-107-10182-41-107-09621-91-107-10420-31-107-09312-0(CKB)2550000001095239(EBL)891271(OCoLC)793359427(SSID)ssj0000683488(PQKBManifestationID)11930582(PQKBTitleCode)TC0000683488(PQKBWorkID)10688993(PQKB)11601575(UkCbUP)CR9781139084666(Au-PeEL)EBL891271(CaPaEBR)ebr10718031(CaONFJC)MIL501986(MiAaPQ)EBC891271(PPN)261286455(EXLCZ)99255000000109523920110506d2012|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierArithmetic differential operators over the p-adic integers /Claire C. Ralph, Santiago R. Simanca[electronic resource]Cambridge :Cambridge University Press,2012.1 online resource (vi, 139 pages) digital, PDF file(s)London Mathematical Society lecture note series ;396Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-107-67414-X 1-299-70735-1 Includes bibliographical references (p. 135-137) and index.The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p.The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly in order to define arithmetic operators in general. Features of the book include a comparison of the behaviour of these operators over the p-adic integers and their behaviour over the unramified completion, and a discussion of the relationship between characteristic functions of p-adic discs and arithmetic differential operators that disappears as soon as a single root of unity is adjoined to the p-adic integers. This book is essential reading for researchers and graduate students who want a first introduction to arithmetic differential operators over the p-adic integers.London Mathematical Society lecture note series ;396.Differential operatorsArithmetic functionsp-adic numbersDifferential operators.Arithmetic functions.p-adic numbers.515.7242MAT 123fstubSI 320rvkSK 540rvkRalph Claire C.477392Simanca S. R(Santiago R.),UkCbUPUkCbUPBOOK9910810153203321Arithmetic differential operators over the p-adic integers239905UNINA03402nam 22005533 450 991083837680332120231221192741.00-8214-4786-6(MiAaPQ)EBC30297463(Au-PeEL)EBL30297463(CKB)25791764700041(EXLCZ)992579176470004120221224d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMasks, Misinformation, and Making Do Appalachian Health-Care Workers and the COVID-19 Pandemic1st ed.Athens, OH :Ohio University Press,2023.©2023.1 online resource (317 pages)Print version: Welch, Wendy Masks, Misinformation, and Making Do Athens, OH : Ohio University Press,c2023 9780821425022 Cover Page -- Title Page -- Copyright Page -- Contents -- Foreword -- Preface -- Acknowledgments -- Part 1. Background -- 1. Rural Medicine Retrospective: An Overview of the Challenges Rural Hospitals Faced Prepandemic -- 2. Good Hygiene in Bad Times -- 3. The Perfect Storm, the Perfect Solution?: COVID-19 and Telehealth -- 4. Bracing Early for a Delayed Impact: How Appalachia's COVID-19 Timelines Affected Health System Bottom Lines -- Part 2. Stories -- 5. Passover -- 6. Working in the Hospital in the Early Days of the Pandemic -- 7. Shadrach, Sparrows, and Me -- 8. I Am Responsible for the People Who Are Responsible -- 9. Isolation, Denial, and Appalachia's Greatest Public Threat -- 10. The Mask Makers: How Women in Appalachia Were Empowered through Sewing during the COVID-19 Response -- 11. We Already Knew We Were Mortal: Cancer Patients in the Pandemic -- 12. Nursing While Black -- 13. Trust Comes Late -- Part 3. Impact -- 14. The Two-Sided Pandemic: Mental Health and Racism before and during COVID-19 -- 15. COVID-19's Enduring Impact on Medical Education: An Appalachian Case Study -- 16. COVID-19 and Type 2 Diabetes: A Seesaw of Reckoning -- 17. Substance Use Disorder during COVID -- 18. The Race to Vaccinate -- 19. Variants, Vaccines, and Vacations -- Contributors -- Index.This collection of first-person accounts by doctors, nurses, and others at the front lines in Appalachia explains how rural communities have responded to COVID-19, addresses stereotypical assumptions about and challenges within rural medical care, and describes burnout and other long-term effects of the pandemic on health-care workers.COVID-19epidemiologyRural Health ServicesHealth PersonnelpsychologyBurnout, ProfessionalHealth Services AccessibilitySocial Determinants of HealthAppalachian RegionepidemiologyCOVID-19epidemiologyRural Health ServicesHealth PersonnelpsychologyBurnout, ProfessionalHealth Services AccessibilitySocial Determinants of Health362.1962/41440097568Welch Wendy1727956Morgan Alan1727957MiAaPQMiAaPQMiAaPQBOOK9910838376803321Masks, Misinformation, and Making Do4135909UNINA