Explore the concept of the "Compute Continuum" and its energy implications in this one-hour conference talk delivered by Jan Rabaey from UC Berkeley at the Simons Institute's Algorithmic Foundations for Emerging Computing Technologies Boot Camp. Examine how computational resources span across different scales and environments, from edge devices to cloud infrastructure, and understand the critical energy considerations that shape this distributed computing landscape. Delve into the energetic challenges and opportunities presented by emerging computing paradigms, analyzing how power consumption and efficiency constraints influence the design and deployment of computational systems across the continuum. Gain insights into the algorithmic and architectural innovations needed to optimize energy usage while maintaining computational performance in next-generation computing environments.