Research works

Odd perfect numbers: the largest prime factor exceeds 10^9 and the second largest exceeds 10^6

We prove that every odd perfect number is divisible by a prime exceeding 10^9, improving the bound 10^8 of Goto and Ohno. The proof follows the method of Hagis and Cohen, Jenkins, and Goto and Ohno. Its computational part is organised so that every intermediate claim is either an...

Closed certificates for fixed mirror-descent convergence (C73-15)

Closed-certificate trees and countable-ordinal rankings characterize convergence of fixed mirror-descent rules for the canonical regularizer and step-schedule class. The stated criterion is infinitary. Contents. Original proof PDF and LaTeX source, a complete research archive wit...

Interpretable prediction of polymer material viscosity using machine learning models incorporating shear rate, salinity, concentration, and temperature effects

Abstract Viscosity is a fundamental property of polymer materials and solutions that strongly influences their flow behavior, processing, and performance in various industrial and engineering applications. Polymer materials and polymer solutions are vital components in many indus...

Isoforms of cysteine peptidases and osmotins instead of chitinases and peptidase inhibitors drive antifungal activity but occur as distinct isoforms in latex and callus tissues of Calotropis procera

MAIN CONCLUSION: Peptidases and osmotins are the primary determinants of antifungal activity, and their expression is tightly linked to tissue specialization in Calotropis procera plants. This study investigated whether callus cultures of two Apocynaceae species, Calotropis proce...

Salivary Digital PCR With Epigenetic Cell Counting Correction as a Feasible Non-Invasive Platform for Longitudinal JAK2V617F Monitoring in Myeloproliferative Neoplasms

Abstract Intensive longitudinal monitoring of somatic mutation variant allele frequency (VAF) is needed to characterize clonal dynamics during therapy in myeloproliferative neoplasms (MPN). Salivary digital PCR, corrected for buccal epithelial DNA contamination by epigenetic cell...

Multi-Level Role Succession HEAIN Core Protocol 1.2: Self-Discovering Multi-Level Promotion for Fractal Edge AI Resilient to Cascading Failure

HEAIN-CORE-1.1 [5][6] showed that the seven core algorithms (P1–P7) of the HEAIN Core Protocol run correctly on real hardware. Promotion under Role Transformation (P6), however, was limited to one level per process lifetime. Once a node had been promoted to act for its parent, it...

Pemberdayaan Masyarakat Melalui Kuliah Kerja Nyata di Desa Gunong Panah

Kuliah Kerja Nyata merupakan bentuk pengabdian mahasiswa kepada masyarakat yang dilaksanakan melalui keterlibatan langsung dalam mengidentifikasi kebutuhan, mengembangkan potensi, serta mendukung kegiatan pembangunan di tingkat desa. Kegiatan pengabdian ini bertujuan untuk mendes...

On the Hodge conjecture for Fermat varieties

LaTeX source (amsart, figures as PNG), compiled PDF and verification code for the paper On the Hodge conjecture for Fermat varieties by Deep Bhattacharjee. The paper proves the Hodge conjecture for the Fermat varieties of degrees 44 and 114 in every dimension, and more generally...

Preliminary accuracy, inter- and intra-rater reliability of a 4-point cervical artery dissection diagnostic decision support tool in an ambulatory setting using real and simulated cases: a quality improvement project

BACKGROUND: Cervical artery dissection (CeAD) is a rare but life-threatening condition that commonly presents with non-specific symptoms such as neck and head pain, complicating early recognition in ambulatory care settings. The CeAD diagnostic decision support tool (DDST) is a 4...

Effect of Precursor-Solution pH on the Phase Composition and Microstructure of Precipitated NiO, and By-Product Retention in Hydrothermally Derived NiO–MnO2 Powders

Nickel oxide (NiO)/manganese dioxide (MnO2) composites are widely studied pseudocapacitive electrode materials, but the role of the precursor-solution pH in their synthesis is poorly established. NiO was precipitated at precursor pH 8, 9, 10, and 11, calcined, and subjected to a...

A cross-sectional study of eating attitudes in Hong Kong athletes

Abstract Numerous studies have explored disordered eating (DE) in athletes, yet their findings frequently conflict. This research focused on examining the prevalence of DE among HK Chinese athletes. A sample of 100 athletes participated in the study, which employed a cross-sectio...

Plausibility and Truth: Towards a Framework for the Life Cycle of Scientific Theories

Exploration produces speculation, and the word ``speculation'' is commonly used as a verdict rather than as a description. The same label is applied to general relativity before the eclipse of 1919 and to an invisible dragon that leaves every instrument silent. This paper, a sequ...

The Doors We Did Not Know We Built: AI Welfare Claims, Private Behavioural Governance, and the Accountability of Agentic Systems

Anthropic’s October 2026 announcement of a model-directed anti-cruelty rule raises a question that cannot be answered by debating conversational manners alone: how should a private developer justify restrictions on people when the protected interest concerns the uncertain welfare...

Real-world safety and clinical outcomes of cluster subcutaneous immunotherapy with olive pollen extracts, with or without grass pollen, in patients with allergic rhinoconjunctivitis and/or asthma

Abstract Background Allergen immunotherapy (AIT) is the only treatment capable of modifying the natural course of IgE-mediated allergic diseases induced by aeroallergens. Cluster schedules for subcutaneous AIT (SCIT) with hypoallergenic depot extracts enable faster dose escalatio...

Breastfeeding self-efficacy in mothers and its association with maternal functioning, maternal knowledge, and attitudes toward breastfeeding: a cross-sectional study

Abstract Breastfeeding constitutes a cornerstone intervention, delivering extensive benefits to children, women, and society. Although breastfeeding self-efficacy plays a crucial role in the initiation and continuation of breastfeeding, evidence regarding the factors associated w...

(Short Paper00) Bio-QPU Theory 2.0 Axiomatic System: Inte grated Formulation of the Autonomous Analog Synchroniza tion System Based on "LUCA's Theorem" and the "Life Code"

The theory proposing biological systems as an “in vivo analog quantum synchronizer (phase synchronizer: Bio-QPU)” rather than a computer has elucidated the massively parallel phase processing mechanisms in vivo using intracellular nuclear spins. This paper proposes fundamental ax...

Switching for the better? understanding how contextual conditions influence patients’ choice of primary care provider

Abstract Background Considering current expectations that patients will stimulate competition based on quality among healthcare providers through informed choices, this study aims to advance understanding of patients’ limited engagement in choosing a primary care provider. Method...

Biological characterization and genome-wide analysis of the novel E. coli bacteriophage GaoY6-3C

Biological characterization and genome-wide analysis of the novel E. coli bacteriophage GaoY6-3C

An Explicit Equational Schema for Joint Modal Validities

An explicit, computably enumerable infinite equational schema characterizes formulas valid both in the stated normal modal orthomodular class with Sasaki implication and in intuitionistic modal logic IK. The quantum class has a box preserving finite meets and the top element, wit...

The Pleistocene Imprint: Evolutionary Asymmetry of Thermal Risk, Atmospheric CO2 Starvation, and the Existential Threat of Glaciation

Abstract Contemporary environmental discourse operates under an acute "hyperthermic bias," conceptualizing anthropogenic planetary warming as the singular existential climate catastrophe. However, human evolutionary biology, comparative epidemiology, and Pleistocene paleoclimatol...