Abstract: In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal changes of ...
GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...
Nootropics are a category of supplements or drugs linked with beneficial effects on brain function. Supporters of nootropics say they can boost memory, motivation, creativity, alertness, general ...
A Chinese artificial intelligence system has solved a decade-old problem proposed by an American mathematician, according to a new study. The algebra conjecture was first posed in 2014 by then ...
Abstract: Safety is a central requirement for autonomous system operation across domains. Hamilton-Jacobi (HJ) reachability analysis can be used to construct “least-restrictive” safety filters that ...
Today is the anniversary of the founding of the North Atlantic Treaty Organization. NATO has long been misunderstood, under-discussed, and marketed to the American people as a force for peace and ...
We proposes a new ODI-SR model characterized by its capacity to perform Fast and Arbitrary-scale ODI-SR processes, denoted as FAOR. The key innovation lies in adapting the implicit image function from ...
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