Well-quasi-ordering, the three teorem, and Vazsonyi's...
Формат:
только полные версии
Wqo and Bqo theory in subsystems of secord order...
What's so special about Kruskal's...
От соавтора книги «Алгоритмы для жизни» — исследование стремления использовать математику для описания того, как мы мыслим: от...
Artificial General Intelligence (AGI) is a concept that evokes both excitement and apprehension. While some view it as a promising dream, others perceive it as a looming nightmare. This paper aims to give strong evidence - or, to be more precise: to...
Математика
AGI is Mathematically Impossible 2: When Entropy Returns [The Infinite Choice Barrier - Shannon Revisited]
Subsequent to the completion of this paper, a widely discussed study by Shojaee et al. at Apple (The Illusion of Thinking, 2025) presented empirical evidence that several advanced reasoning models (e.g., Claude 3.7 Sonnet, DeepSeek-R1) exhibit a...
The Chernoff approximation method is a powerful and flexible tool of functional analysis, which allows in many cases to express exp(tL) in terms of variable coefficients of a linear differential operator L. In this paper, we prove a theorem that...
Classical probability theory supports probability measures, assigning a fixed positive real value to each event, these measures are far from satisfactory in formulating real-life occurrences. The main innovation of this paper is the introduction of...
Учебное пособие по...
Lewis Carroll as Probabilist and...