\begin{abstract} We present a locality--audit framework for proving circuit lower bounds for NP languages. We define an explicit NP--complete language equipped with structural invariances (``audits'') ...
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The most wicked geometry problem explained!
Dive into one of the most wicked geometry problems and see it explained step by step in a clear, intuitive way. This lesson breaks down the hidden structure, key insights, and clever reasoning that ...
Source: Darren Edwards What if one of the biggest unsolved problems in mathematics is not just about numbers or computers, but about observers like you and me? This isn’t a proposed solution to P vs ...
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Salah and Van Dijk's problems, explained
What is a 'contract year?' Ollie explains why Salah and Van Dijk are having problems at Liverpool Reiners' son made guests uneasy at party day before his parents were found dead, sources say How to ...
Forbes contributors publish independent expert analyses and insights. Analyzing tech stocks through the prism of cultural change. The most important number for active managers in 2025 is 80. That’s ...
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