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For the Cauchy problem of nonlinear wave equations in Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, we derived the critical exponent separating the global existence and nonexistence of solutions for small initial data, and established finite-time blow-up and lifespan estimates in the critical and subcritical regimes.
A novel probabilistic forecasting method for power demand—an essential technology for energy management systems—has been developed by integrating AI and Bayesian inference to achieve high accuracy, explainability, uncertainty quantification, and real-time processing capability.
Optimal control policies in a hybrid MTS/MTO production system equipped with multiple machines capable of MTS and MTO production by a setup operation were investigated.
Three training data-sharing methods are proposed and their effectiveness demonstrated.
This orthosis enabled the patient to walk with a large movement of the ankle joint even with little muscle activity.

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