Chronological feed of everything captured from Kara Swisher.
paper / karaswisher / 19h ago
Straub (2016) proved that Euler's partition identity—equating partitions of n into odd parts with those into distinct parts—extends to partitions of any size with fixed largest hook (perimeter) n. This generalization shifts partition statistics from traditional size-based to perimeter-based counting. The paper develops fixed perimeter analogues of additional classical partition identities and inequalities inspired by Euler's result.
arxiv-paperpartition-theoryeuler-identityfixed-perimetercombinatoricsnumber-theory
“Euler's partition identity equates the number of partitions of n into odd parts with the number into distinct parts”
paper / karaswisher / 19h ago
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.
partition-functionsperfect-powersnumber-theoryasymptotic-analysisheuristic-methodsconjecturesarXiv-paper
“Sun conjectured p(n) is never a perfect power for n ≥ 2”
paper / karaswisher / 19h ago
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.
group-theorynumber-theorymodular-functionsfinite-simple-groups
“The paper presents a modular function-based approach to explain the exponents in the prime decomposition of the Monster finite simple group's order for primes larger than 3.”
paper / karaswisher / 19h ago
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.
nuclear-fuelu-10mofission-gasxe-bubblesre-solutionmaterials-simulationresearch-reactor
“Thermal spikes from electronic stopping do not contribute to Xe gas bubble re-solution in U-10Mo.”
youtube / karaswisher / 1d ago
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.
longevity-sciencebiohackinganti-agingnutrition-supplementshealth-optimizationentrepreneurship
“The pursuit of longevity should be framed as a species-level, Homo sapiens endeavor, not merely an individual quest for immortality.”
youtube / karaswisher / 2d ago
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.
longevitybiohackinghealthspantech-culturemisinformationai-ethicssocial-inequality
“Many high-cost longevity interventions, such as hyperbaric oxygen chambers for healthy adults, offer negligible benefits compared to simple activities like walking.”
youtube / karaswisher / 2d ago
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.
longevity-techwellness-industry-critiquemedia-trendsbillionaire-influenceai-ethicspublic-health-policymisinformation
“The primary 'longevity hack' is socioeconomic status, as poverty is a fundamental barrier to health outcomes.”
youtube / karaswisher / 2d ago
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.
ai-ethicstech-regulationsocial-media-impacttech-industry-politicsai-applicationsgovernment-tech-relationsjournalism-media-evolution
“AI development is characterized by significant investment, often without corresponding revenue, leading to a speculative market that some compare to a Ponzi scheme, though it will likely produce a few dominant, enormous companies.”