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1. On the two-dimensional Jacobian conjecture: Magnus' formula revisited, II

Author

Glidewell, Jacob, Hurst, William E., Lee, Kyungyong, and Li, Li

Subjects
Mathematics - Commutative Algebra, Mathematics - Algebraic Geometry, Primary: 14R15 Secondary: 13F20, 14M25, 11P21
Abstract

This article is part of an ongoing investigation of the two-dimensional Jacobian conjecture. In the first paper of this series, we proved the generalized Magnus' formula. In this paper, inspired by cluster algebras, we introduce a sequence of new conjectures including the remainder vanishing conjecture. This makes the generalized Magnus' formula become a useful tool to show the two-dimensional Jacobian conjecture. In the forthcoming paper(s), we plan to prove the remainder vanishing conjecture.

Published
2022

2. On the two-dimensional Jacobian conjecture: Magnus' formula revisited, I

Author

Hurst, William E., Lee, Kyungyong, Li, Li, and Nasr, George D.

Subjects
Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, Primary: 14R15 Secondary: 13F20, 14M25, 11P21
Abstract

Let $K$ be an algebraically closed field of characteristic 0. When the Jacobian $({\partial f}/{\partial x})({\partial g}/{\partial y}) - ({\partial g}/{\partial x})({\partial f}/{\partial y})$ is a constant for $f,g\in K[x,y]$, Magnus' formula from [A. Magnus, Volume preserving transformations in several complex variables, Proc. Amer. Math. Soc. 5 (1954), 256--266] describes the relations between the homogeneous degree pieces $f_i$'s and $g_i$'s. We show a more general version of Magnus' formula and prove a special case of the two-dimensional Jacobian conjecture as its application.

Published
2022

10. Virtual Reality for Spatial Planning and Emergency Situations: Challenges and Solution Directions.

Author

Wiltenburg, Reinout, Mendoza, Frida Ruiz, Hurst, William, and Tekinerdogan, Bedir

Subjects
EMERGENCY management, LITERATURE reviews, SMART cities, TELECOMMUNICATION, INDUSTRY 4.0, CITY dwellers
Abstract

The notion of the smart city involves embedding Industry 4.0 technologies to improve the lives of inhabitants in urban environments. Within this context, smart city data layers (SCDLs) concern the integration of extra tiers of information for the purposes of improving communication potential. Under the Industry 4.0 technology grouping, advanced communication technologies, such as virtual reality (VR), further the opportunities to model, recreate, evaluate and communicate scenarios that potentially improve citizens lives at multiple SCDL scales in a smart cities context. The use of added contextual information in SCDLs is of special interest for emergency planning situations at the building scale. In this research, a literature review to understand the current approaches for the use, development and evaluation of VR applications in the context of emergency planning was conducted. The results indicated four main categories of relevant challenges for these types of applications, for which recommendations and a roadmap for VR development are presented. In total, the study identified 10 commonly occurring challenges (e.g., optimization and discomfort) and 19 solution directions (e.g., model construction and spatial directions) in related articles when considering the development of VR for spatial planning and emergency situations. [ABSTRACT FROM AUTHOR]

Published
2024
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12. Behavioural observation for critical infrastructure security support

Author

Hurst, William, Merabti, M., and Fergus, P.

Subjects
005.8, Critical Infrastructure, Behavioural Observation, Cyber-Attack, Security, Data Analysis, Data Classification
Abstract

Critical infrastructures include sectors such as energy resources, finance, food and water distribution, health, manufacturing and government services. In recent years, critical infrastructures have become increasingly dependent on ICT; more interconnected and are often, as a result, linked to the Internet. Consequently, this makes these systems more vulnerable and increases the threat of cyber-attack. In addition, the growing use of wireless networks means that infrastructures can be more susceptible to a direct digital attack than ever before. Traditionally, protecting against environmental threats was the main focus of critical infrastructure preservation. Now, however, with the emergence of cyber-attacks, the focus has changed and infrastructures are facing a different danger with potentially debilitating consequences. Current security techniques are struggling to keep up to date with the sheer volume of innovative and emerging attacks; therefore, considering fresh and adaptive solutions to existing computer security approaches is crucial. The research presented in this thesis, details the use of behavioural observation for critical infrastructure security support. Our observer system monitors an infrastructure’s behaviour and detects abnormalities, which are the result of a cyber-attack taking place. By observing subtle changes in system behaviours, an additional level of support for critical infrastructure security is provided through a plug-in device, which operates autonomously and has no negative impact on data flow. Behaviour is evaluated using mathematical classifications to assess the data and detect changes. The subsequent results achieved during the data classification process were high and successful. Our observer approach was able to accurately classify 98.138 % of the normal and abnormal system behaviours produced by a simulation of a critical infrastructure, using nine data classifiers.

Published
2014
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15. China's Contentious Pensioners

Author

Hurst, William and O'Brien, Kevin J

Subjects
China, protest, contention, pensions, biographical availability, Cultural Studies
Abstract

China has seen a surge of working class protests in recent years. Many of these have involved retirees. Pensioners are found to be particularly prone to take to the streets because their grievances are intense and are widely perceived to be legitimate, they are "biographically available," and they often feel nostalgic for aspects of the Maoist past. Their actions also display elements of moral economic resistance. This article draws on the available literature as well as interviews with 30 workers, retirees, laid-off workers, managers and local officials in five cities.

Published
2002

16. Chinese protesters are out in record numbers. What changed?

Author

Hurst, William

Subjects
China -- Demonstrations and protests -- Health policy, China Lockdown Protests, 2022 -- Analysis, Infection control -- Laws, regulations and rules -- Demonstrations and protests, Epidemics -- Control -- China, Demonstrations -- Analysis -- China, Government regulation, General interest, News, opinion and commentary
Abstract

Byline: William Hurst Public protests against China's strict 'zero covid' lockdowns continued over the weekend, prompting headlines about 'rare protests.' But protests do take place in China - in recent [...]

Published
2022

25. Age and frailty are independently associated with increased covid-19 mortality and increased care needs in survivors: results of an international multi-centre study

Author

Alsahab, Mustafa, Beishon, Lucy, Brown, Bryony, Burn, Elinor, Burton, Jenni K, Cox, Natalie, Dani, Melanie, Elhadi, Muhammed, Freshwater, Sarah, Gaunt, Victoria, Gordon, Adam, Goujon, Marie, Hale, Matthew, Hughes, Terry, Jackson, Thomas A, Jelley, Benjamin, Khan, Asma, Khiroya, Heena, Lal, Rajni, Madden, Katy, Magill, Laura, Masoli, Jane, Masud, Tahir, McCluskey, Lauren, McNeela, Natalie, Mohammedseid-Nurhussien, Awolkhier, Moorey, Hannah, Lochlainn, Mary Ni, Nirantharakumar, Krishnarajah, Okoth, Kelvin, Osuafor, Christopher N, Patterson, Katherine, Pearson, Grace M E, Perry, Rita, Pettitt, Michala, Pigott, Jennifer, Pinkney, Thomas, Quinn, Terence, Reynolds, Abigail, Richardson, Sarah, Sanyal, Nik, Seed, Adam, Sleeman, Isobel, Soo, Chee, Steves, Claire, Strain, W David, Taylor, Joanne, Torsney, Kelli, Welch, Carly, Wilson, Daisy, Witham, Miles, Elazeem, Hossam Aldein S Abd, Abdelhafez, Mohammed H, Abdelmalak, Amir, Abdelwahab, Omar A, Abdulhadi, Osama M A S, Adewole, Olubayode, Ahmad, Mohammed, Ahmed, Eltayeb A, Ahmed, Hazem, Ahmed, Islam A, Akcay, Mertcan, Akdeniz, Yeşim, Akın, Emrah, Akladious, Carolyn, Alessandri, Francesco, Ali, Ali, Aljafari, Abdulmalek, Aljafari, Abdulmoiz, Al-Sadawi, Mohammed, Al-Sodani, Lobna, Altintoprak, Fatih, Amaratungaz, Gitanjali, Amer, Jocelyn, Amini, Sylvia, Amir, Taha, Anandarajah, Cheran, Anders, Rachael, Ansari, Muhammed H, Appiah, Kingsley, Atia, Jolene, Atkin, Catherine, Aujayeb, Avinash, Awad, Elsayed M, Azab, Mohammed A, Azam, Mohammad T, Aziz, Sally, Azzam, Ahmed Y, Babar, Laxmi, Babb, Laura, Badh, Manpreet, Baguneid, Clare, Bailey, Emily, Baili, Efstratia, Baldwin, Sarah, Baloyiannis, Ioannis, Bannerjee, Moulinath, Barnard, Anna, Barra, Fabio, Bashir, Hannah, Bawor, Monica, Bayhan, Zülfü, Belcher, James, Belgamwar, Ravindra, Bentley, Corrina, Birchenough, Amy, Bo, Yen Nee J, Boden, Hayley R, Bouhuwaish, Ahmad, Brachini, Gioia, Bremner, Laura, Bridgwater, Hannah, Bryant, Catherine, Budd, Gabrielle, Budd, Sharon, Budzikoski, Adam, Bulla, Reem, Buondonno, Antonio, Burden, Nicole, Butt, Hejab, Capoglu, Recayi, Caracostea, Andra, Cardoso, Rifa, Carr, Alexis, Carrasco-Prats, Milagros, Cattel, Caterina, Ceccarelli, Giancarlo, Cecere, Giuseppe, Charalabopoulos, Alexandros, Charsley, Evelyn, Cheney-Lowe, Hannah, Chevallier, Theodore, Choudhry, Asad J, Ciccarone, Flavia, Cicerchia, Pierfranco M, Cirillo, Bruno, Collins, Fatma D, Comerford, Victoria, Cordie, Ahmed, Coulter, Siobhan, Coulthard, Nick, Cox, Catrin, Cox, Victoria, Crowe, Andrew, Cullen, Jack, Cummings, Jean, Cunningham, Niamh, Curley, Daniel, Currie, Hannah, Daly, Madeleine, Darley, Jay, Dattani, Nikhita, Davakis, Spyridon, Davies, Rowan, De Paola, Gilda, De Toma, Giorgio, Del Valle-Ruiz, Sergio, Deldar, Benyamin, Demir, Hakan, Desai, Arjun, Desai, Nirali, Devaney, Alice, Dew, Lindsey, Dhesi, Jugdeep, Dias, Maria, Dick, Gordon, Doddamani, Parveen, Dogra, Gurinder, Doll, Tina, Dooley, Hannah C, Dost, Samiullah, Dotchin, Catherine, Dowell, Hannah, Draghita, Ioan M, Dundas, James M, Duranti, Giulia, Dusara, Hiren, Dwivedi, Rajesh, Dyer, Adam H, Eastaugh, Alison, Edwards, Elinor, Elghazaly, Shrouk M, Elmehrath, Ahmed O, Elrick, Hope, El-Shazly, Mostafa, Emery, Alexander, Etchill, Eric W, Evans, Sarah, Evison, Felicity, Fairhead, Cassandra, Faulkner, Margherita, Felska, Agnieszka, Fernandez, Antia, Fernández-Fernández, Pedro V, Ferraiolo, Antonella, Ferrero, Simone, Fiori, Enrico, Firat, Necattin, Fisk, Gracie, Fleck, Anna, Fonsi, Giovanni B, Gabre-Kidan, Alodia, Gallo, Gaetano, Gandhi, Ratnam, Garner, Madeleine, Georgiou, Nikolaos, Gerretsen, Hannah, Ghannam, Nourhan A A, Ghobrial, Andrew, Ghobrial, Hedra, Ghufoor, Zaynub, Gibbon, Jake, Gilbert, Georgia F, Giles, Marie, Giménez-Francés, Clara, Gonullu, Emre, Gray, Amy, Gray, Joshua H, Green, Deirdre, Greene, Charlotte, Griffin, Ellanna, Griffith, Karla, Grubb, Anthony, Guan, Yue, Guerero, Daniel N, Gupta, Ayushi, Gustavino, Claudio, Guzman, Laurenny, Hadreiez, Ahmed K M, Hajiioannou, Jiannis, Hanji, Deevia, Madhavan, Deepthy Hari, Harmantepe, Tarık, Harrison, Patrick, Hart, Barbara, Haslam, Aidan, Haunton, Victoria, Haut, Elliott R, Heinsohn, Torben, Hennah, Lindsay, Hetta, Helal F, Hickman, Alexander, Hobill, Abigail, Hogan, Patrick C P, Hogan, Vesna, Holmes, Elizabeth, Honney, Katie, Hood, Katharine, Hopkinson, Katherine, Howells, Lara, Hrouda, Nicole, Hunsley, Danielle, Hurst, William, Hussein, Rand A, Ibrahim, Mohamed Eltaher A A, Ibtida, Ishmam, Ibukunoluwakitan, Aina, Ishlek, Irem, Iyer, Rishi, Jackson, Karl, Jackson, Rosie, James, Ellen, Jarvis, Hayley, Jeffs, Sophie, Jenko, Nathan, Jeyakumar, Sasha, Kabir, Shahriar, Kainth, Harjinder, Kalloo, Jason, Kanzaria, Akhil, Karapanou, Amalia, Kardaman, Nuha, Karthikeyan, Sandeep, Karunatilleke, Anne, Kelly, Mairead, Kelly, Nicola I, Khalid, Hesham, Khan, Haris, Khan, Muhammad S, King, Matthew, Kneen, Thomas, Kok, Li, Kratochwila, Chiara, Kuzeva, Aneliya, Lapolla, Pierfrancesco, Lau, Rebecca, Law, Kar Yee, Leadbetter, Aimee, Lee, Gabriel, Lee, Helena, Levinson, Gavriella, Lewis, Grace, Liakakos, Theodore, Lim, Stephen, Lis, Danielle, Livesey, Emma, López-Morales, Pedro, Lowes, Lily, Lunt, Eleanor, Lyon, Emily, Madan, Suvira, Majid, Zeinab, Malapati, Harsha, Man, Jade, Mandane, Baguiasri, Manning, Sarah H, Mantoglu, Baris, Martínez-Sanz, Nuria, Marx, William, Masood, Almontacer E B, Maughan, Tom, Mawhinney, Jamie, Maxfield, Dominic, Mayer, Jordan, Maynard, Henry, McDonald, Claire, McGovern, Aine, Mclachlan, Sophie, Medina-Manuel, Esther, Meneghini, Simona, Metcalf, Michelle, Millwood-Hargrave, John, Mingoli, Andrea, Miu, Kelvin, Mohamed, Fawsiya, Mohamed, Soha M, Hussein, Aliae A R Mohamed, Mohammad, Abdulkader, Mohammed, Aaliya, Momen, Ahmed A, Moomo, Farhana, Mora-Guzmán, Ismael, Moriarty, Lizzie, Morrin, Hamilton, Morris, Claire, Moss, Nicholas, Moustafa, Mohamed M, Mpoura, Maria, Mubin, Mohammed, Muhtaroglu, Ali, Muir, Georgina, Mulhern, Stephanie, Muller, Daniel, Murphy, Declan C, Muzammil, Bushra, Nadkarni, Varun, Nageh, Mariam Albatoul, NasrEldin, Yasmin K, Nawaz, Wasim, Nguyen, Hanna, Cheallaigh, Cliona Ni, Noar, Alexander, North, Samuel, Nwolu, Favour, O’Docherty, Alice, Odutola, Omoteniola, O’Dwyer, Sinead, Ogochukwu, Olebu, O’Mahony, Catherine, Orlando, Lia, Osterdahl, Marc, Page, Christina, Panayotidis, Ismini, Pancholi, Shivam, Parkin, Jessica, Passby, Lauren C, Pastor-Pérez, Patricia, Patel, Harnish, Patel, Shefali, Penfold, Rose, Perinpanathan, Rupini, Perivoliotis, Konstantinos, Perra, Teresa, Pinkney, Martha, Pinotti, Enrico, Porcu, Alberto, Price, Angeline, Pugliese, Francesco, Puri, Prabhleen, Pytraczyk, Sylvia, Qaiser, Yusra, Qurashi, Maria, Radenkovic, Dina, Rajeswaran, Thurkka, Rapaport, Sarah F, Razzak, Tahmina, Reilly, Lara, Reynolds, Paul, Richardson, Alexandra, Roberts, Amelia, Roberts-Rhodes, Charlotte, Robinson, Tanya, Rocca, Aldo, Ross-Skinner, Emily, Ruiz-Marín, Miguel, Ryall, Rebecca, Saad, Alshaimaa M, Saad, Mahmoud M, Sadiq, Ambreen, Sammarco, Giuseppe, Sampanis, Michail A, Sanghvi, Hazel, Sapienza, Paolo, Sayers, Ross, Scott, Luca, Sen, Michael, Shaban, Mosab A A, Shakespeare, Kathleen T, Shaw, Ellie, Shaw, Hannah, Sheldrake, Jonathan, Sim, Sing Yang, Simonelli, Luigi, Sipsas, Nikolaos V, Sivam, Jarita, Sivarajan, Sri, Smith, Jennifer, Speranza, Fabio, Spice, Claire, Stafford, Amanda, Stambollouian, Katharine, Stevens, Kent A, Stewart, Jack, Stratton, Emma, Street, Hannah, Surtees, Michael, Swinnerton, Emma, Taher, Ahmed S A, Tait, Caroline, Taylor, Amybel, Thake, Miriam, Thin, Katie, Thould, Hannah, Thyn, Thyn, To, Benjaman, Tobiss, Hannah, Toppley, Kathryn, Townsend, Liam, Tullo, Ellen, Tzovaras, George, Umeadi, Anthony, Vaidya, Hrisheekesh, Valero-Soriano, María, Varden, Rosanna, Vergani, Vittoria, Vervoort, Dominique, Vescio, Giuseppina, Vettasseri, Mark, Virk, Madiha, Vyas, Vaishali, Wagland, Joanne, Wallis, Stephanie, Warner, Chloe, Watkins, Eleanor, Watson, Hannah, Webb, Rachael, Welsh, Sarah H, West, Ruth, Whelan, Elisha, Whitney, Julie, Whitsey, Mark, Wilcock, Catherine, Wilkinson, Iain, Williams, David, Williamson, Megan, Willott, Ruth H, Wimalasundera, Mettha, Win, Yu Lelt, Winter, Laura, Worrall, Stephanie, Wright, Rebecca, Yeo, Natalie, Yeung, Eirene, Yigit, Merve, Yildiz, Yasin A, Yusuf, Humza, Zambon, Martina, Zaw, Hein, and Elabedeen, Omar Zein

Subjects
Male, Aging, medicine.medical_specialty, Frail Elderly, COVID-19, delirium, frailty, mortality, transitions of care, Cohort Studies, AcademicSubjects/MED00280, Interquartile range, Internal medicine, medicine, Dementia, Humans, Survivors, Aged, Proportional hazards model, business.industry, SARS-CoV-2, Hazard ratio, Odds ratio, General Medicine, medicine.disease, Confidence interval, frailty,COVID-19, Ageing, Delirium, Female, medicine.symptom, Geriatrics and Gerontology, business, Cohort study, Research Paper
Abstract

Introduction Increased mortality has been demonstrated in older adults with coronavirus disease 2019 (COVID-19), but the effect of frailty has been unclear. Methods This multi-centre cohort study involved patients aged 18 years and older hospitalised with COVID-19, using routinely collected data. We used Cox regression analysis to assess the impact of age, frailty and delirium on the risk of inpatient mortality, adjusting for sex, illness severity, inflammation and co-morbidities. We used ordinal logistic regression analysis to assess the impact of age, Clinical Frailty Scale (CFS) and delirium on risk of increased care requirements on discharge, adjusting for the same variables. Results Data from 5,711 patients from 55 hospitals in 12 countries were included (median age 74, interquartile range [IQR] 54–83; 55.2% male). The risk of death increased independently with increasing age (>80 versus 18–49: hazard ratio [HR] 3.57, confidence interval [CI] 2.54–5.02), frailty (CFS 8 versus 1–3: HR 3.03, CI 2.29–4.00) inflammation, renal disease, cardiovascular disease and cancer, but not delirium. Age, frailty (CFS 7 versus 1–3: odds ratio 7.00, CI 5.27–9.32), delirium, dementia and mental health diagnoses were all associated with increased risk of higher care needs on discharge. The likelihood of adverse outcomes increased across all grades of CFS from 4 to 9. Conclusion Age and frailty are independently associated with adverse outcomes in COVID-19. Risk of increased care needs was also increased in survivors of COVID-19 with frailty or older age.

Published
2021

26. Views of Our Readers

Author

Cameron,, Wilburn M., Carlson, Robert E., Van Hoomissen, George A., Levinson, Michael, Diamond, Hymen, Wright, Charles Alan, Bamburg, Harold B., Hurst, William R., Cate, Wirt Armistead, Johnston, James C., Levit, Victor B., Silverman, Howard A., Steele,, George S., Salisbury, Erwin A., Bernard, Will, Segall, Harold S., and Bain, H. Andrew

Published
1978

27. Views of Our Readers

Author

Ellison, Joseph H., Hoffmeyer, William F., Brydges, Louis W., Aren, Edward A., McClellan,, John F., Peel, Richard, Smith, Archer D., Parker, Lyndon J., Rosenthal, Robert M., Keegan, Robert R., Johnson, Phillip A., Davidow, Larry S., Cahal, Mac F., Piper, LaMar Thomas, Hurst, William R., Rummage, William E., Thornton, J. Edward, Robertson, Louis, Hattner, Louis J., Pincus, William, Richman, Marc, Anthony, Cushman D., Meisel, Alan, Morris, Richard W., and Thomas, Bruce K.

Published
1976

28. Augmented Reality In Smart Manufacturing: A User Experience Evaluation.

Author

Kukuni, Tshepo Godfrey, Kotze, Ben, Hurst, William, and Lepekola, Lenkoe

Subjects
AUGMENTED reality, USER experience, TECHNOLOGICAL innovations, COMPUTER vision, FACTORIES, ALGORITHMS
Abstract

In recent years, technological advancements including computational capabilities have rapidly increased. This advancement has led to the feasibility of developing advanced technological applications through the integration of Augmented Reality. This article presents an optimal model and application utilising Augmented Reality, Simultaneous Location, and Mapping algorithm for device identification within a smart manufacturing environment. The devices are identified based on their positions by detecting their features utilising the ORB-SLAM algorithm. The device identification is based on the use of markerless identifiers for the purpose of reducing the manual process of pasting markers on every device within the manufacturing plant. This model offers an alternative solution, with the properties of detecting devices based on their position and features. Thus, validation of this approach involved a control group to provide a broad-base evaluation. The results are positive, with the majority of the individuals recommending the adoption of the application and its utilisation within a wider-scale deployment. Specifically, the findings demonstrate that 70% of the users approve of the use of the application in an industrial setup, 65% are satisfied with the accuracy and reliability of the app and 80% recommend the adoption and utilisation of this app in an industrial setup. [ABSTRACT FROM AUTHOR]

Published
2022

39. The Politics of Uneven Development: Thailand's Economic Growth in Comparative Perspective

Author

Hurst, William

Subjects
Cambridge University Press -- Political activity, Book publishing -- Political aspects -- Political activity, Regional focus/area studies, Social sciences
Abstract

The Politics of Uneven Development: Thailand's Economic Growth in Comparative Perspective. By Richard F. Doner. New York: Cambridge University Press, 2009.351 pp. $80.00 (cloth); $24.99 (paper). Richard Doner's new book [...]

Published
2010

40. LETTERS

Author

Ferguson, Katherine A., Burns, Thomas D., Goldsmith, Peter, Hinsley, Christopher M., Hendren, David F., Lowe, Stephen G., and Hurst, William R.

Published
1996

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