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              <text>As a space that is notoriously difficult to visualise, the hyperbolic plane is important in many areas of physics, geometry, dynamical systems, and other areas of mathematics. 3D printing models of the hyperbolic plane means that its geometric properties can be better appreciated by both students and the general public.</text>
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              <text> This study explores the negativity bias in user engagement with YouTube news and the effectiveness of negative sentiment in attracting attention. I investigate the difference in user engagment in the form of comment and liking comments between political and non-political news. The paper explore whether political news attracts a higher quantity of negative sentiment comments and the differences in likes distributed to negative sentiment comments in political and non-political news, and revealing a stronger negativity bias in user comment in political news, but also showing that relative less likes are distributed to negative comments in political news. This paper is based on analyzing comments and likes from BBC Breaking News videos.</text>
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              <text> In many modern physics and engineering systems, particularly when dealing with separable linear partial differential equations, a second- order linear ordinary differential equation in a certain form occurs fre- quently, these are called Sturm-Liouville problems. Understanding the solutions in such a form is crucial in understanding a dynamic system when Sturm-Liouville problems occur. We will embark on an in-depth exploration of Riemannian geometry, uncovering the rich properties provided by the Riemannian metric. By the end, we’ll bring everything together and demonstrate how tools from Sturm-Liouville theory can be applied to specific geometric surfaces.</text>
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