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              <text>The replicator coalescent considering migration, is a stochastic model which describes a population of \textit{k} distinct types which undergo either pairwise mergers or individual migration at rates depending on their types. It turns out that if we consider the initial population to tend to infinity and dilate the time arbitrarily close to 0, the process behaves deterministically like the solution to an M-replicator equation ODE, where M is the expected payoff matrix of the process. Furthermore, the process comes down from infinity in the sense that Kingman introduced for the 'Kingman coalescent death chains'.</text>
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              <text>This retrospective audit evaluated compliance with local and national guidelines for venous thromboembolism (VTE) prophylaxis among adult ENT inpatients at University Hospitals Coventry &amp; Warwickshire (UHCW) during September 2025. Patient records were reviewed via the Electronic Patient Record (EPR) system to assess timely completion of VTE risk assessments, appropriate prescribing of prophylaxis based on patient weight and renal function, and adherence to UHCW and NICE NG89 standards.  Of the 25 patients included, 96% received appropriate VTE prophylaxis, with only one instance of incorrect Enoxaparin dosing identified. Weight was documented in 92% of cases, and renal function in 63%. These findings indicate a strong overall compliance with local and national standards, though opportunities remain to improve documentation consistency and dosing accuracy.  Recommendations include targeted staff education on weight- and renal-adjusted dosing, reinforcement of timely VTE risk assessments, and the introduction of electronic prescribing alerts to minimise human error. A re-audit is planned within six months to monitor progress. This audit demonstrates that VTE prophylaxis practices within the ENT department at UHCW are robust, but highlights the need for ongoing vigilance to ensure continued patient safety and adherence to best practice.</text>
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Evaluation of Venous Thromboembolism (VTE) prophylaxis and compliance with local guidelines in adult ENT Inpatient Wards at University Hospitals Coventry &amp; Warwickshire (UHCW)</text>
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                <text>&lt;a href="https://marctruter.com/project-super-golden-gates/"&gt;Super Golden Gates&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;The next step for technology is the quantum age, yet there is much theoretical work needed to be done before this becomes a reality. Super-Golden gates may be part of the solution. Quantum computers harness the quirks of quantum mechanics in order to perform extremely powerful computations and, if successfully created, could solve many problems previously deemed impossible, therefore impacting fields ranging from cancer research to artificial intelligence. Quantum computers are made up of building blocks known as gates, each of which alters the information travelling across it and, when combined, make a circuit. Super-Golden gates are a finite set of such gates that, when combined together with very few elements, can form circuits that approximate all other possible gates. This is crucial in the manufacturing process as it would be unrealistic to build every gate needed from scratch; hence, we want to construct them by combining others we already know how to create. To turn this physical problem into a mathematical one we require number theory, the study of integers. The project studies the number theory behind Super-Golden gates as described by Parzanchevski and Sarnak in their paper published in 2017 and will upon exploiting the ideas, implement them into a program. The program will output the circuit created from our Super-Golden gates to approximate any inputted gate. Further research into other possible finite gate sets must be done as Super-Golden gates leave gaps when trying to improve our approximations in the aim of producing a more accurate computer.&lt;/span&gt;</text>
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