To look at the sum of squares explicitly, you can view the .txt files which contain each of the 41 polynomials and each of the 41 (positive) coefficients. If you square each polynomial, then multiply ...
Given a nonempty compact connected subset $X\subset {\Bbb S}^{2}$ with complement a simply-connected open subset $\Omega \subset {\Bbb S}^{2}$, let Dome(Ω) be the ...
Abstract: The Witsenhausens counterexample (1968) is a difficult nonconvex functional optimization problem which has been outstanding for more than 30 years. Considerable amount of literature has been ...
This is a preview. Log in through your library . Abstract We construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the ...
Mathematical Large Language Models (LLMs) have demonstrated strong problem-solving capabilities, but their reasoning ability is often constrained by pattern recognition rather than true conceptual ...
Abstract: This paper answers a question raised by Doyle on the relevance of the Witsenhausen counterexample as a toy decentralized control problem. The question has two sides, the first of which ...
kind: enhancementEnhancements, feature requests, etc. These are NOT bugs, but ways we can improve DafnyEnhancements, feature requests, etc. These are NOT bugs, but ways we can improve Dafny Current ...
VCGEAR is a tool for checking safety properties (assertions) of Verilog programs. The input to the tool is a Verilog description and a property. The output is either the property holds or a real ...
School of Biomedical Engineering, Shenzhen Key Laboratory for Nano-Biosensing Technology, Guangdong Key Laboratory of Biomedical Measurements and Ultrasound Imaging, Marshall Laboratory of Biomedical ...
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