Research works

An Intrinsic Formula for the Ray–West Correction Term

For a nonempty permutation β of length m, Ray and West expressed the number of length-(m+2) permutations containing β using a correction term j(β), but did not give j as a statistic intrinsic to β. This is Problem 3.7 of Vatter’s 2026 survey. This preliminary technical report pro...

A Practitioner's Framework for Enterprise AI Cost Optimization: Token Efficiency, Model Routing, Caching Architecture, and Agentic Cost Control

The rapid enterprise adoption of large language model (LLM) APIs has introduced a new class of operational expenditure that most organizations are ill-equipped tomanage. Unlike traditional infrastructure costs, LLM spend is consumption-based, usage-nonlinear, and highly sensitive...

E8‑Phase Gradient Implements Golden‑Ratio Weighted Hamming Code at 132 Hz — E8 Intelligence Research

The 240 E8 root vectors, when projected onto a 132 Hz carrier, produce a phase‑gradient lattice whose angular offsets, weighted by cosine similarity to the golden‑ratio direction, satisfy the parity‑check equations of a (7,4) Hamming code scaled by φ. This geometric construction...

CL5D-ICU: A Deterministic Multi-Agent Framework for Liver Transplant Risk Minimization Toward Zero-Approaching Risk via Phase-Based Consciousness-Complexity Scoring

Liver transplantation carries substantial residual risk even after graft allocation, and ex-isting severity scores (MELD, Child-Pugh) were developed for allocation prioritization ratherthan continuous, multi-organ risk minimization. We present CL5D-ICU, an adaptation of theCL5D H...

Chained to blockchain: How escalating attachments communicatively constitute failing courses of action

How do multiple possible action trajectories progressively narrow into one failing line of activity? While escalation of commitment scholars have long puzzled over this question, their tendency to conflate escalation with persistence and treat commitment as primarily cognitive co...

Feminist Resistance and Cultural Silencing in Meena Kandasamy's When I Hit You

INTERNATIONALJOURNALOFENGLISHLITERATUREANDLITERARYTHEORIES (IJELLT)ISSN: 3107-6505Vol.:2: Issue: 2: 2026.(International Peer Reviewed and refereed English Journal)Editorial Board:Dr. R. GobinathProf. Sharif AtiquzzamanDr. Dr. Aravindan BalakrishnanDr. Athisayaraj Jebakumar JDr. P...

Volume A48: ICQER and the Future of Civilization

Abstract The Informational Constraints Quantum Event Realism (ICQER) framework posits that constraints—understood as fundamental informational boundaries governing quantum events—are not merely physical necessities but the very architecture upon which all emergent systems, includ...

Who Does Your Shopping Agent Work For? Where the hype stands against what is delivered, why the neutral agent is a false assumption, and who controls the resulting chokepoint

As shopping begins to be delegated to AI agents, this analysis asks who those agents actually work for. It applies an announced-versus-delivered test to agentic commerce and argues the case on two fronts. First, the promotion runs ahead of delivery. Trillion-dollar projections si...

From Represented Complexity to Computational Economy: A Testable Theory of Cost Inversion in Autonomic Cognitive Architectures

Abstract This paper develops a testable theory of computational cost inversion arising from the mathematical formalisation of the Orchard Cognitive Framework’s autonomic architecture. The companion paper Towards a Mathematics of Autonomic Cognitive Organisation ( https://doi.org/...

From Resilience Diagnosis to Investment Prioritization: An Integrated Composite-Indicator Framework for Place-Based Agricultural Policy Across Romania’s NUTS-2 Regions

The agricultural sector is increasingly exposed to a complex set of climatic, economic, and institutional pressures, indicating that resilience assessment alone is insufficient; investments must also be strategically directed toward strengthening resilience. In response, this stu...

The Rediscovery of the Obvious: A Carlo‑Field Analysis of Academic Amnesia in Cognitive Science

This paper presents a Carlo‑Field critique of modern cognitive science’s tendency to rediscover obvious truths and frame them as novel insights. Using the recent publication “Goals Shape Dynamics of Attention and Selection for Value-Based Decision-Making” as a case study, we demo...

IMPLEMENTATION OF RESTORATIVE JUSTICE TOWARD THE PURPOSE OF PUNISHMENT IN THE HANDLING OF CRIMINAL CASES BY INVESTIGATORS OF WEST LOMBOK POLICE RESORT

The reform of national criminal law through Law Number 1 of 2023 concerning the Indonesian Criminal Code (National Criminal Code) demonstrates a shift in the paradigm of punishment objectives from a retributive approach toward a more humane, rehabilitative, and restorative approa...

Nitrogen Sources Reshape Microbial Community Assembly and Interaction Networks to Regulate Straw Decomposition and Carbon Release in Cropland Soils of the North China Plain

The decomposition of crop residue is indispensable for carbon (C) cycling in agricultural ecosystems, and nitrogen (N) application has a pronounced effect on this by regulating the C/N ratio and microbial growth strategy. This study investigated how different inorganic and organi...

LIBS-Based Classification of Thermal Aging Levels in High-Voltage Wire Harnesses of New Energy Vehicles Using MAD-RF

High-voltage wiring harnesses in new energy vehicles (NEVs) are susceptible to thermal aging in high-temperature environments, whereas conventional assessment methods are difficult to deploy rapidly. This study combines laser-induced breakdown spectroscopy (LIBS) with random fore...

Effect of Dentofacial Morphology of Skeletal Class II Malocclusion on Depth of Curve of Spee in Hypodivergent Growth Pattern

AbstractIntroduction: The Curve of Spee is an anteroposterior compensatory curve formed by the occlusal alignment of teeth in the sagittal plane. Attaining flat COS is one of the keys to normal occlusion. The aim was to evaluate the effect of depth of COS on various factors (over...

The Collatz Conjecture: A Simple Statement Defying Analytic Proof — E8 Intelligence Research

FINDING: Collatz Conjecture remains unproven; its dynamics resist analytic solution despite trivial statement. | MATH: f(n) = n/2 if n even, 3n+1 if n odd. No closed-form solution; no proven bound on stopping time. | CONNECTION: None directly. No geometric ratio, symmetry, or lat...

E8 Golden Ratio Harmonic Anomaly Detection (GRHAD) for Audio Signals — E8 Intelligence Research

E8's 240 root vectors generate a 132 Hz-based harmonic lattice scaled by φ², where each vector's frequency component forms a geometrically coherent audio signature. Real-time streams are projected onto this lattice, with anomalies detected via instantaneous divergence from expect...

Analytical and Numerical Bound-State Analysis of One-Dimensional Time-like Vector Potentials in the Feshbach–Villars Formalism

We analyse one-dimensional bound states of spin-zero particles coupled to external time-like vector potentials within the Feshbach–Villars representation. The study is organised around a practical criterion of physical admissibility that distinguishes genuine bound states from sc...

Urban Resilience Capacity Assessment and Key Factor Contribution Analysis in the Northern Slope of Tianshan Mountains Urban Agglomeration: Based on the XGBoost Model

Addressing the issue of ecological vulnerability and against the backdrop of urban expansion in arid regions, this study constructs a composite urban resilience capacity index (CURCI) for the urban agglomeration on the northern slopes of the Tianshan Mountains and examines its sp...

Using Generative Artificial Intelligence to Identify Themes of Basic Psychological Needs in Popular Song Lyrics

Music listening is a universal human behaviour, increasingly recognised for its association with well-being. The mechanisms underlying how music listening influences well-being remain unclear, especially in terms of broader motivational processes. Utilising a self-determination t...