8 10 110 https://linen-dog.lnx.warwick.ac.uk/files/original/ce12192aeef9e429183997e779f7b1f1.pdf c809a82b151ad4daedd0353f533c0c2a 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 The Grothendieck-Witt Group of Local Rings Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Bobby Rogers Date A point or period of time associated with an event in the lifecycle of the resource 2023 Algebra Bobby Rogers Mathematics symmetic bilinear forms https://linen-dog.lnx.warwick.ac.uk/files/original/8ade377cdd44ca3c2d9cb76f0c16b64a.pdf 7e2820a4354ff867fe54810ea3bc7ff1 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 Analysis of Drop Collisions Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Alexis Tzelilis Date A point or period of time associated with an event in the lifecycle of the resource 2023 Alexis Tzelilis analysis dimensional drop collisions forces gas mass-flow Mathematics https://linen-dog.lnx.warwick.ac.uk/files/original/b7fd23055b687f09a94f2092cd2bb85c.pdf 9c6593a391bc6cc0a2c093b7c956e64f 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 This research paper explores “quaternion Gauss sums”, which extend the quadratic Gauss sum to Hurwitz quaternions. The study investigates the properties of Quaternion Gauss sums, including their behaviour under similarity transformations, multiplicativity, and reduced forms for diagonal matrices. Practical applications are considered, such as solution counting in quaternion/matrix equations within prime power quotients. The research also provides a computational method for calculating quaternion Gauss sums, yielding data that informs conjectures about Gauss sum values and relates them to existing notions of matrix Gauss sums. 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 Quaternion Gauss Sums Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Alexander Pilakoutas Date A point or period of time associated with an event in the lifecycle of the resource 2023 Alexander Pilakoutas Computational Conjectures Mathematics Number Theory https://linen-dog.lnx.warwick.ac.uk/files/original/8a2902485b3e487437b6f776b76dbd8d.pdf 5c499f6ad4452ca17c9e37c0d5b9bef0 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 Analysis of Large Deviation Principles and Scaling Limits for Polymers Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Aditya Dugar Date A point or period of time associated with an event in the lifecycle of the resource 2023 Aditya Dugar. Mathematics deviation principals Gaussian polymers Quantum Field Theory https://linen-dog.lnx.warwick.ac.uk/files/original/f79db9ffbb7b113ba0515f812c94a9e7.pdf dd6560dbe2f26f25c4f3ade0cf1c9484 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 Base Sizes of Imprimitive Actions of the Alternating Groups Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Dan Shomron Date A point or period of time associated with an event in the lifecycle of the resource 2023 alternating groups base sizes Dan Shomron group theory imprimitive actions Mathematics maths permutation groups symmetric groups https://linen-dog.lnx.warwick.ac.uk/files/original/f95ccc72e267f30eb6d302df3d09f361.pdf c7e6042b6183d22da09852d878f69f8f 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 The n-Queens Problem: An Activity Book Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Alicia Garcia Sanchez Date A point or period of time associated with an event in the lifecycle of the resource 2023 Alicia Garcia Sanchez chess combinatorics Graph Theory Mathematics n-queens puzzle https://linen-dog.lnx.warwick.ac.uk/files/original/c298d8e6230c1a686f9c980af9a21221.pdf 67a7a1b3e324c7ce36466e291df7e641 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 The Fundamental Groupoid: A Categorical Approach to the Fundamental Group and the Seifert-Van Kampen Theorem Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Jean-Paul Schemeil Date A point or period of time associated with an event in the lifecycle of the resource 2023 Algebraic Topology Category Theory Jean-Paul Schemeil 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/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 https://linen-dog.lnx.warwick.ac.uk/files/original/7d75afa760a44734f777386b38bebf7d.pdf 456e2ea6c6bd1e30b84740a148b3dc5f 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 A Geometric Study of Adversarial Robustness in Machine Learning Subject The topic of the resource Warwick Mathematics Institute Creator An entity primarily responsible for making the resource Paul Lezeau Date A point or period of time associated with an event in the lifecycle of the resource 2022 adversarial robustness classifiers Gaussian bounds Phaffian theory