Research works

Generative geospatial modelling with geometric algebra

Abstract The integration of data-driven and knowledge-driven approaches in generative geospatial modelling (GGM) is often hindered by their mathematical incompatibilities. Here, we propose a geometric algebra (GA)-based framework that employs a unified multi-vector representation...

Paying for Pressure: How Hypertension Costs Push Mindanao’s Families Into Poverty

We commend Aduo-Adjei et al1 for their important contribution, “The Impoverishment Effect of Out-of-Pocket Expenditure for Hypertension in Ghana.” Their analysis demonstrates that out-of-pocket (OOP) payments for hypertension care increased the poverty headcount by 3.14% at the U...

Splossoms: blossoming polynomials on the sphere via geometric algebra

Abstract We introduce splossoms, the spherical analogue of polynomial blossoms, extending Ramshaw's theory of blossoming into spherical geometry. We note that the classical blossom axioms require spherical reinterpretation: strict symmetry does not hold on S2, and we identify the...

A geometric algebra approach to coincidence site lattices

Abstract When a lattice in Rn is superimposed on a rotated copy with coincident origins, coincidence points may arise for specific rotations, forming a coincidence site lattice (CSL). In crystallography, particularly in two and three dimensions, CSL theory is fundamental for desc...

Tracking the baryon number with nuclear collisions

Baryon quantum number is found to be conserved since baryogenesis in the early Universe. Conventionally, each fractionally charged valence quark is understood to carry one-third of a baryon number. An alternative hypothesis posits that baryon number is instead carried by a baryon...

Focal Therapy for Prostate Cancer

This retrospective study uses data from the National Cancer Database to examine patterns and temporal trends in use of focal therapy for prostate cancer in US cancer centers; characterize inappropriate use in low-, high-, or very–high-risk disease; and describe intermediate-risk...

Null geometric algebra with geometric interpretation

Abstract Null geometric algebra (NGA) refers to a basis-free version of Clifford algebra where the base vector space is spanned by vectors whose inner product with itself equals zero. It provides powerful tools for manipulating expressions in conformal geometric algebra (CGA) whe...

Spatially Explicit Optimal Decarbonization Pathways for China’s Cement Industry

Abstract Cement production contributes about 8% of global CO2 emissions, but conventional assessments often overlook spatiotemporal heterogeneity in demand, energy resources, infrastructure, and policy constraints. This study develops a high-resolution whole-system optimization f...

Fossil denticles reveal how ocean productivity shapes shark baselines and recovery potential

Shark populations on coral reefs have declined globally, but few baselines exist to quantify natural variability before human impact. Using fossil dermal denticles preserved in reef sediments, we reconstructed shark communities across the Isthmus of Panama before substantial expl...

The role of quantum entanglement in three players cooperative game

Abstract This work explores the application of quantum entanglement to the analysis of cooperative three-player games. The interactions between players influence their behaviour and the overall outcomes of the transferable utility (TU) cooperative game. The mathematical framework...

Exploring the Role of Antioxidants in Skin Whitening and Brightening Products: A Comprehensive Updated Review of Ingredients, Mechanisms, Benefits, and Potential Risks

There is a rapidly rising demand for cosmeceutical solutions of skin lightening/brightening, due to the growing need for dermatologic applications and consumers' preference to enhance the brightness of skin. Traditionally, the main ingredients for developing dermatologic...

Modeling the Effects of Fermi Resonances in the CHStretching Region of the Spectra for Polycyclic Aromatic HydrocarbonAnions

A strategy is developed for evaluating spectra of anions of polycyclic aromatic hydrocarbon (PAH) molecules. The high symmetry of these systems and the similarity of the frequencies of the CH wagging and ring distortion vibrations result in normal modes that are highly mixed in c...

Vibrational Spectraof Anionic Polycyclic AromaticHydrocarbons in the CH Stretching Region: Anthracene, Pyrene, Perylene,and Fluoranthene

Abstract The CH stretching region of the infrared spectra of polycyclic aromatic hydrocarbon radical anions (2700–3100 cm–1) is characterized by complicated band patterns that defy straightforward assignments from harmonic calculations. We compare experimental infrared photodisso...

Stochastic tensor contraction for quantum chemistry

Many computational methods in ab initio quantum chemistry are formulated in terms of high-order tensor contractions, whose cost determines the size of system that can be studied. We introduce stochastic tensor contraction to perform such operations with greatly reduced cost, and...

Neural substrates of female sexual rejection: hypothalamic pathways to the periaqueductal gray

Abstract Selecting an appropriate behavioral response according to one’s internal state is essential for well-being. Across the reproductive cycle, fluctuating levels of sex hormones align female behavior with reproductive capacity by modulating neuronal circuits that express hor...

Accurate SEM-EDS quantification, automation, and machine learning enable high-throughput compositional characterization of powders

<title>Abstract</title> Compositional characterization is essential for understanding and optimizing material performance. For powder-based materials underpinning many modern technologies, however, accurately and rapidly resolving the composition of individual constituent phases...

Clean up your mesh! Part 1: plane and simplex

Abstract We revisit the geometric foundations of mesh representation through the lens of plane-based geometric algebra (PGA), investigating its efficiency and expressiveness for discrete geometry. We find how k-simplices (vertices, edges, faces, …) and k-complexes (point clouds,...

Enhancing large language model reasoning with reward models: an analytical survey

Abstract Reward models (RMs) play a critical role in enhancing the reasoning performance of LLMs. For example, they can provide training signals to finetune LLMs during reinforcement learning (RL) and help select the best answer from multiple candidates during inference. In this...

Impact of respiratory muscle training on sleep disordered breathing in people with tetraplegia: a sub-analysis of a randomised controlled trial

<title>Abstract</title> <bold>Study Design:</bold>Sub-analysis of a randomised controlled trial. <bold>Objectives:</bold>Respiratory muscle training (RMT) in people with tetraplegia yields marked improvements in inspiratory muscle strength. The present study investigated whether...

COPI Coatomer Regulates Several Steps of HDL Metabolism

Abstract Background Reverse cholesterol transport by high density lipoproteins (HDL) is considered as an anti-atherogenic metabolic pathway. Hepatocytes determine the efficacy of this pathway by the production of apolipoprotein A-I (apoA-I) and its lipidation by ATP binding casse...