Research works

Pythagorean-Platonic Number Mysticism: Geometric Harmonies and Cosmic Constants — E8 Intelligence Research

**FINDING:** Pythagorean-Platonic tradition identifies number as the fundamental substance of reality, with geometric forms encoding harmonic ratios and cosmic cycles. **MATH:** Key constants: φ (1.618...), √2 (1.414...), √3 (1.732...), π (3.141...), and the tetractys (1+2+3+4=10...

Actualization of Jomon Velocity

Definition Definition 1. If an object gets momentum or loses momentum, the manifested velocity of the object is actualized.

Harnessing Diversity: Majority‐Group Acculturation Predicts Creativity and Flourishing Over Time

ABSTRACT Creativity and flourishing are core aims of higher education (HE) institutions and government initiatives globally. Large‐scale projects have linked creativity and flourishing with cultural diversity, yet their associations with majority‐group acculturation (i.e., how me...

Plimpton 322: World's Oldest Trig Table Using Base-60 Ratios — E8 Intelligence Research

FINDING: Babylonian tablet Plimpton 322 is the world's oldest known trigonometric table, using base-60 (sexagesimal) ratios rather than angles or circles. | MATH: The tablet lists 15 rows of Pythagorean triples (a² + b² = c²) in sexagesimal notation, with ratios b²/(c² – b²) form...

Pleural Empyema Caused by Streptococcus Constellatus in an Immunocompetent Young Adult: A Case Report

Objective: Members of the Streptococcus anginosus group (SAG) are associated with deep-seated and purulent infections. Pleural empyema caused by Streptococcus constellatus is rare and is more commonly reported in immunocompromised individuals. This report describes a case of S. c...

KM Algebraic Geometry: Algebraic Screening, Representation Defects, Homological Methods, and Derived Reconstruction A Special Monograph in KM Theory

We develop KM algebraic geometry as a typed comparison theory for algebraic structures before and after screening. The objects under consideration include rings, modules, associative and graded algebras, representations, chain complexes, sheaves, schemes, algebraic cycles, deform...

Individualized Prediction of Recurrence Following Uterine-Preserving Pelvic Organ Prolapse Repair Using Internally Validated Machine Learning Models

Background/Objectives: Approximately 11–20% of women affected by pelvic organ prolapse (POP) will undergo surgical intervention during their lifetime and nearly one-third of these women will require an additional procedure due to recurrence or failure of the initial repair. This...

Novel Use of Penile Ultrasound in the Evaluation of Patients With Adult Acquired Buried Penis

Adult acquired buried penis (AABP) disease is a risk factor for penile cancer. For a subset of patients, the severity of their disease precludes complete physical examination of the penile shaft due to the inability to exhume the penis. Thus, providers are unable to identify peni...

Frequency and nature of complications of deep anterior lamellar keratoplasty

OBJECTIVE: The study analyzed intraoperative and postoperative complications of deep anterior lamellar keratoplasty (DALK) performed in 2008-2023 at the Krasnov Research Institute of Eye Diseases. MATERIAL AND METHODS: This retrospective study included 523 patients (548 eyes) wit...

Histological reorganization and spatiotemporal distribution of cell wall epitopes during somatic embryogenesis in oil palm (Elaeis guineensis Jacq.)

Abstract Somatic embryogenesis is a key strategy for the clonal propagation of elite oil palm ( Elaeis guineensis Jacq.) genotypes. Although several protocols have been established, the structural aspects underlying the induction of embryogenic callus in this species remain unkno...

Human Hsp70 paralogs display selective J-domain interactions tuning proteostasis under stress

Hsp70 chaperones are central regulators of proteostasis, mediating folding, refolding, degradation, and aggregation-prevention. Their activity is tuned by the diverse J-domain proteins (JDPs), which both recruit client proteins and stimulate Hsp70 ATP hydrolysis via interaction w...

Louis IX’s letter to the French of August 1250 (Part 1): a new edition and translation

Louis IX’s letter to the French, written from Acre in 1250 upon the king’s decision to delay his return to France, is one of our key sources for the events of Louis’ crusade to Egypt in 1249-1250. The received text of the letter goes back to a mid-thirteenth-century manuscript (B...

The crystal structure of 1,5-bis(thiophen-2-yl)pentane-1,5-dione, C 13 H 12 O 2 S 2

Abstract C 13 H 12 O 2 S 2 , monoclinic, P 2 1 / n (no. 14), a = 8.9343(4) Å, b = 5.8480(3) Å, c = 24.3022(11) Å, β = 91.407(4) ∘ , V = 1269.35(10) Å 3 , Z = 4, R gt ( F ) = 0.0792, wR ref ( F 2 ) = 0.1833, T = 293 K.

A Modular Formalization of 2D Navier-Stokes Uniqueness in Lean 4: Sorry-Free 1D Gagliardo-Nirenberg and Axiomatic Reduction of the Ladyzhenskaya Argument

Abstract: We present a machine-checked modular formalization in Lean 4 (with Mathlib4) towards the formal verification of the 2D incompressible Navier-Stokes global uniqueness theorem. The package delivers two primary contributions: (1) A complete, 100% sorry-free formal proof of...

Frédéric Chopin's illness: a clinicopathological Conference 176 years after his death

Abstract This article revisits, in the format of a clinicopathological conference, the illness that led to the death of Frédéric Chopin at the age of 39 in 1849. Although tuberculosis has been historically accepted as the most likely cause, the authors propose an alternative hypo...

From disclosure to impact: How board diversity and independence drive corporate environmental performance under provincial corruption pressure?

Purpose This study aims to investigate how corporate boards shape environmental performance in Vietnamese manufacturing firms and examines whether province-level environmental corruption attenuates or amplifies these governance effects. Design/methodology/approach We manually con...

Reduced‐Port Versus Multi‐Port Laparoscopic Colectomy for Colorectal Cancer: A Systematic Review, Meta‐Analysis, and Meta‐Regression

ABSTRACT Background Reduced‐port laparoscopic colectomy (RPLC) has emerged as an alternative to multi‐port laparoscopic colectomy (MPLC) for colorectal cancer surgery, aiming to reduce operative morbidity and improve cosmetic outcomes. This systematic review and meta‐analysis eva...

Does Test Duration Matter? Comparing 1‐s and 5‐s Isometric Mid‐Thigh Pull Protocols for Performance Diagnostics in Basketball Players

ABSTRACT To compare kinetic characteristics of a 1‐s isometric mid‐thigh pull (IMTP) protocol with the traditional 5‐s protocol and examine their associations with basketball‐specific performance. Twenty‐five Tier 3 male basketball players performed standardized 1‐s and 5‐s IMTP...

EuroMillions Breakthrough Mining — 1942 Sources, 14802 Leads Extracted — E8 Intelligence Research

Mined 1942 lottery+quantum breakthroughs. Extracted 14802 leads across 13 categories. 12715 high-value leads found. Categories: {"CORRIDOR": 1234, "FORMULA": 1074, "GEOMETRIC": 764, "FORWARD_ATTEMPT": 1306, "QUANTUM": 1520, "TIMING": 223, "CELESTIAL": 1159, "GEMATRIA": 1241, "CON...

The Unity of the Discrete and the Continuous as a Structural Principle: The Infinium △₁ₓ₁ and the Theory of Motives

This article is devoted to one of the oldest and deepest problems in mathematics—the gap between the discrete and the continuous. We show that this gap is not an accidental difficulty but a direct consequence of choosing the structureless point as the initial primitive. Within Δ‑...