Chronological feed of everything captured from Kara Swisher.
Straub's 2016 theorem proves Euler's partition identity—equating partitions into odd parts and distinct parts for integer n—extends to partitions of any size with fixed largest hook (perimeter) n. This result has driven research into fixed perimeter variants of partition identities and inequalities. The paper develops fixed perimeter analogues of classical partition theorems inspired by Euler's identity. Subjects include Combinatorics (math.CO) and Number Theory (math.NT).
For partition function p(n), the largest n where p(n) is within d of a kth power, M_k(d), grows polylogarithmically as O(log^2 d) per heuristics, far slower than any power of d. Sharp lower bounds are proven for analogs across a wide class of partition functions. For suitably random functions mimicking p(n)'s growth, the probability is 1 that only finitely many n yield perfect powers.
Duncan and Swisher introduce a modular function-based method to derive the exponents in the prime factorization of the Monster group's order, specifically for primes larger than 3. This approach leverages properties of modular functions to explain these exponents, connecting number theory and group theory. The 12-page paper falls under Group Theory and Number Theory with MSC classes 11F03, 20C34, 20D08.
BCA and MD simulations quantify Xe gas bubble re-solution in U-10Mo nuclear fuel, driven by fission fragment nuclear stopping while electronic stopping contributes negligibly. Re-solution rates range from 4.4e-26 m³/fission for large bubbles to 8.8e-25 m³/fission for small ones at equilibrium pressure per unit fission density. Rates inversely scale with bubble pressure, informing fuel performance models for HEU-to-LEU conversion.
Bryan Johnson advocates for "not dying" as a species-level endeavor, distinct from personal immortality. He argues that combating societal systems of addiction (e.g., phones, junk food) and environmental toxins is crucial for longevity, even for those not in the ultra-wealthy bracket. Johnson commercializes his "Blueprint" protocol due to the prevalence of low-quality consumer goods, which he uncovered when rigorously testing his own food and supplements.
The pursuit of longevity among the tech elite often prioritizes expensive, scientifically dubious 'bio-hacks' over fundamental health behaviors and equitable medical advancement. True progress lies in extending healthspan through scalable innovations like AI-driven drug discovery and mRNA research rather than narcissistic, wealth-gated interventions. The critical challenge is preventing a dystopian societal divide where biological health becomes a luxury good.
The obsession with 'hacking death' among the tech elite often prioritizes narcissistic, data-obsessed individual experiments over systemic health improvements. Real longevity is driven by socioeconomic stability and universal preventative care rather than expensive, unproven supplements and bio-hacks. The critical objective should be the optimization of 'healthspan'—reducing the duration of morbidity—through science-backed interventions and social connectivity.
Kara Swisher discusses the current landscape of AI development, highlighting the speculative investment climate and the ethical dilemmas posed by autonomous AI applications. She also critiques the role of social media in shaping political discourse and the challenges of regulating technology giants, advocating for updated antitrust laws and data privacy regulations. Swisher emphasizes the need for human accountability in AI systems and a nuanced approach to media consumption and creation.