Left, a 3-flower. Right, a 5-flower. Credit: Journal of Geometry and Physics, 10.1016/j.geomphys.2025.105458 Monash University researchers have extended Descartes’ Circle Theorem by finding a general ...

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An artificial-intelligence (AI) tool can rigorously prove whether geometric facts — statements about two-dimensional shapes such as triangles or polygons — are true, just as well as competitors in the ...

Example 1 Two formula fields to enter formulas. Example 1 mpad Two formula fields to enter formulas prefilled using the mpad-syntax (little bit easier to write, a little bit LATEX like) Example 2 Two ...

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Abstract: In the ultra-dense network(UDN), terminals may be exposed to more frequent handover than ever due to smaller cell radius. Employing the handover protocol of the received signal strength with ...

ABSTRACT: The coastal marine habitats are often characterized by high biological activity. Therefore, monitoring programs and conservation plans of coastal environments are needed. So, in order to ...