52 10 859 https://linen-dog.lnx.warwick.ac.uk/files/original/c6d4b4273980d2554fb6d889ce684fd2.pdf e3bfc4e4aae689d529203a19fbcdc104 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource On Base Sizes for Actions of Projective Special Linear Groups Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Jack Walsh Date A point or period of time associated with an event in the lifecycle of the resource 2023 computational group theory finite group theory group theory Jack Walsh Mathematics https://linen-dog.lnx.warwick.ac.uk/files/original/3266ddf5a13dd7788ce2375e9a26faa9.pdf 28639e7d98005a871f13a077dc76c741 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Abstract The abstract of the paper Unprecedented demands are being placed on compute resources due to HPC jobs such as next-gen machine learning. Distributed systems rely on resource provisioning algorithms to parallelise these jobs across many nodes; however, traditional algorithms are unlikely to perform- an inefficient and costly waste of power and time. This research aims to design the optimal algorithm for parallelisable tasks, under a real-world workload, and validate theoretical expectations with the results from system simulations. Meta Tags Meta tags resource allocation algorithms, algorithm optimisation, optimisation, paralellisation, hpc, servers, convex optimisation, computer science, maths, performance Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Aadya Mudgil Contributor An entity responsible for making contributions to the resource Arpan Mukhopadhyay Subject The topic of the resource Computer Science Title A name given to the resource On Optimal Resource Allocation Algorithms for Paralellisable Jobs Date A point or period of time associated with an event in the lifecycle of the resource 2024 https://linen-dog.lnx.warwick.ac.uk/files/original/30396bd7df8950db20014fa871df45f1.pdf a1634490f6c580de190109fdf9574c51 Academic Poster An academic poster Abstract The abstract of the paper The aim of this article is to prove the analytic continuation and functional equation of the Dedekind zeta function associated with abelian Galois number fields. The method used intertwines Fourier analysis, Artin decomposition, and Mellin transforms of Dirichlet L-functions. We first establish the functional equation for a general Dirichlet L-function, using theta functions and Poisson summation. Moreover, applying Artin decomposition to cyclotomic fields gives the analytic continuation of the Dedekind zeta function for prime cyclotomic extensions. We then use the Kronecker-Weber theorem about abelian field extensions to extend this method to work for abelian number fields. Meta Tags Meta tags Algebraic Number Theory, Representation Theory, Galois Theory Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource On the Analytic Continuation of the Dedekind Zeta Function of Abelian Galois Number Fields Creator An entity primarily responsible for making the resource Samay Varjangbhay Contributor An entity responsible for making contributions to the resource Dr Alvaro Gonzalez Hernandez Subject The topic of the resource Pure Mathematics https://linen-dog.lnx.warwick.ac.uk/files/original/4e00b98f5375b46354642424f67003a4.pdf fb5167eade77a15ce30341c148f8a25d Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource On The Bounce: Mathematical Modelling of a Bouncing Fluid Droplet Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource William Gillow Date A point or period of time associated with an event in the lifecycle of the resource 2023 Fluid Dynamics Bouncing Droplets Python Mathematics William Gillow https://linen-dog.lnx.warwick.ac.uk/files/original/9035109346f66f23fff2542142f6faeb.pdf abcce0beeb9aa55a72f49f9e60d7283b Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource On the Density of a Set of Primes Associated with a Complex Multiplicative Elliptic Curve Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Antony Lau Date A point or period of time associated with an event in the lifecycle of the resource 2022 elliptic curve Galois Koblitz's conjecture primes https://linen-dog.lnx.warwick.ac.uk/files/original/a3333f8bcb64559abe8d919d9a6c571a.pdf fdcbd85a3c9e130c3403ce750a364040 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource On The Properties of The Commuting Conjugacy Class Graph of The Symmetric Group Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Dogukan E. Turkoz combinatorics Dogukan E. Turkoz Graph Theory group theory Mathematics https://linen-dog.lnx.warwick.ac.uk/files/original/87d8eb058337b48a341ca8fff2d125ae.pdf 16dc8401fb9592b7f7378360127482a8 Academic Paper An academic paper Abstract The abstract of the paper This paper introduce different initial private beliefs into a repeated one-side matching markets. In real life matching, judging others based on first impressions is inevitable and these impressions are subjective and maybe inaccurate. We show that, under sufficient learning, each agent eventually become either a permanent solo or a member of a persisting pair. The initial beliefs play an important role because they will affect the opportunity to form pairs and subsequent interactions. Hence, the initial information state will affect the lower bounds of the expected proportions of these eventual outcomes through its effect on the probability that the conditions for each eventual outcomes required are satisfied. We use simulations under specific assumptions about the initial belief distribution and true type distribution to examine how first impressions and population size affect the matching outcomes over a finite horizon. The simulation results reflect how the tight pairing restrictions of the model affect the proportion of agents who remain solo. Meta Tags Meta tags Economics, Game Theory, Matching Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource One-Sided Partner Matching Under Ex-Ante Uncertainty: From Initial Beliefs to Final Proportions Subject The topic of the resource Economics Date A point or period of time associated with an event in the lifecycle of the resource 2026 Contributor An entity responsible for making contributions to the resource Man-Chit Chang https://linen-dog.lnx.warwick.ac.uk/files/original/fba59299caa6bf8da3f444897fe2cda9.pdf 53442e5a75696582b71843949f649470 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Arts Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Operation Buccaneer: Details of D.E.A. Involvement in Jamaica's 1974 Anti-Narcotics Programme Subject The topic of the resource History Creator An entity primarily responsible for making the resource Jacob Bright Date A point or period of time associated with an event in the lifecycle of the resource 2022 arrests Crime Drugs Jamaica marijuana narcotics US https://linen-dog.lnx.warwick.ac.uk/files/original/b90164a99b52ad7f6d3c02b050966da5.pdf f8157df827eb3fedcd84bc762db55164 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Abstract The abstract of the paper Modeling Opinion Dynamic using SDEs, different network topology, weight dynamics and different interaction functions, whilst measuring the Network Statistics of the system via methods of Statistical Physics. Meta Tags Meta tags opinion dynamics, stochastic processes, monte carlo simulations, network topologies, network statistics, applied statistical physics Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Carmen Calatayud Fernández Contributor An entity responsible for making contributions to the resource Dr Susana Gomes, Andrew Nugent Subject The topic of the resource Physics Title A name given to the resource Opinion Dynamics Date A point or period of time associated with an event in the lifecycle of the resource 2025 https://linen-dog.lnx.warwick.ac.uk/files/original/489977e99db0bedc6abbecda8c479779.pdf 4f41d64dd43ae80773557c7e4d18cbd5 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Abstract The abstract of the paper It is hypothesised that both cancer cell growth and chemotherapy drug tolerance can be dependent on the circadian rhythm, causing differences in treatment efficiency at different times of the day. Chronotherapy aims to exploit this dependency to provide an optimal treatment plan for patients. This plan seeks to maximise the elimination of cancer cells while minimising drug toxicity resulting from chemotherapy. This paper aims to extend previous works and provide analyses of optimal solutions for various cancer treatment models, including scenarios in which growth is partially coupled with the circadian rhythm, cases where drugs target growth, and models that account for delayed drug effects. Using Pontryagin’s Minimum Principle (PMP), we found the switching function of each model that decides the optimal time period to apply or stop the drugs. In the first two models, we noted the aperiodic switching between full and no drugs in optimal solutions and explored the nature of the switching zones. While the optimal solution for the last case is complex, it is proven to be bang-bang and can be reduced to a simpler growth model using the Pseudo-Steady State Hypothesis (PSSH) for sufficiently fast drug absorption speeds. Furthermore, we presented the backward integration method to analyse the nature of optimal solutions. The exploration of optimal solutions provides a better understanding of optimal treatment plans for chronotherapy models and offers insights into potential future analyses of more complex and clinically applicable models. Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Optimal Solutions of Chronotherapy Models Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Xingyu (Steve) Wu Date A point or period of time associated with an event in the lifecycle of the resource 2023 Chronotherapy Mathematics Non-autonomous Dynamical Systems Optimal Control Xingyu (Steve) Wu