In thermodynamics, an "adiabatic process" is a system change that transfers no heat in or out of the system. Any and all ...

GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...

Abstract: The amount of information lost in sub-Nyquist sampling of a continuous-time Gaussian stationary process is quantified. We consider a combined source coding and sub-Nyquist reconstruction ...

Abstract: We consider the recursive estimation of the probability density function of continuous random variables from a strongly mixing random sample. We revisit here earlier research on this subject ...

This article is from Proof Positive, our friendly newsletter that explores the joys and peculiarities of math. Sign up today for a weekly math essay and puzzle in your email inbox. Last week we ...

This valuable study addressed a key question in epilepsy research: whether the recordings of very fast oscillations in the brain (>250Hz, fast ripples) reflect underlying pathology or might be a ...

Prevention focuses on preventing hazards from occurring, whether they are natural, technological or caused by humans. Not all hazards are preventable, but the risk of loss of life and injury can be ...

Continuous glucose monitoring (CGM) tracks glucose levels every 1 to 5 minutes, helping people with diabetes understand how food, sleep, and exercise affect their blood sugar without frequent ...

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1. Axiomatic Foundation of Continuous AI Continuous AI functions as a persistent predictive framework designed to identify and reduce systemic commercial waste. By establishing a mathematical ...

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