If the sides of the right-angled triangle are labelled π, π and π then Pythagoras' theorem can be written as the formula π² + π² = π². Pythagoras' theorem can be used to find the length of line ...
Quantum information theory is a field of study that examines how quantum technologies store and process information. Over the past decades, researchers have introduced several new quantum information ...
GPT-5.2 Pro delivers a Lean-verified proof of ErdΕs Problem 397, marking a shift from pattern-matching AI to autonomous ...
Generative AI is becoming ubiquitous in everyday life. Large language models like ChatGPT can help answer questions, write ...
Abstract: In this paper, we present a novel convolution theorem which encompasses the well known convolution theorem in (graph) signal processing as well as the one related to time-varying filters.
Individual aseismic areas move as rigid plates on the surface of a sphere. Application of the Mercator projection to slip vectors shows that the paving stone theory of world tectonics is correct and ...
The parabolic equation (PE) serves as a fundamental methodology for modeling underwater acoustic propagation. The computational efficiency of this approach derives from the far-field approximation of ...
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