The Voronoi diagram arises if a group of bodies expand from a point of origin and compete for space on an equal footing. This is the case of cells in the epithelium. These have the shape of a scutoid, a recently described geometric solid. Using a free CAD design program and additive manufacturing, scutoids can be generated, applying the Voronoi …
The mysteries of everyday speech: A comparative analysis of pitch in European languages
From the earliest mechanical synthesizers in the late 1800s to the advent of current virtual voices, each with its own distinct personality and style, speech synthesis has captivated researchers for generations. The end goal always being to produce syntheses that are indistinguishable from genuine human speech. The endeavor holds increasing importance in today’s world, spanning from supporting people with speech …
Research on the rotation of common straight lines or curves
Firstly, this project deduces the rotation of the simplest function – linear function, and makes rotation animation by using geometric Sketchpad software. Secondly, this project uses the exchange formula of polar coordinates and plane rectangular coordinates to deduce the general rotation formula of other basic elementary functions and quadratic curves, uses computer softwares to verify the derivation results, and makes …
A Graph Isomorphism Kernel Based on k-Vertex Connectivity and its Application in Graph Neural Networks
The most popular Graph Neural Networks (GNNs) rely on the message-passing paradigm, where the idea is to iteratively propagate the representation information of every node to its direct neighborhood. However, in their most natural version, their expressive power is limited due to their connection to the Weisfeiler-Lehman test, a problem closely tied to the one of graph isomorphism. In this …