Physical Sciences and Mathematics Commons^™

Simultaneous Values Of The Totient Function, Nelson Carella

Publications and Research

A pair of integers $n$ and $n+k$ is a simultaneous solution of an arithmetic function $f:\mathbb{N}\longrightarrow \mathbb{R}$ if $f(n)=f(n+k)$, where $k\ne0$ is a fixed integer. This article shows that the totient function has infinitely many simultaneous solutions. In particular, $\varphi(n)=\varphi(n+2)$ infinitely often as $n\to\infty$.

Balanced Blended Space: Foundational Human–Ai Dialogues In A Symmetry-Based Mediation Framework, David Smith

Publications and Research

This working paper documents the early development of the Balanced Blended Space (BBS) framework through a series of iterative interactions between a cognitive agent (human researcher) and a computational agent (AI system) conducted in 2023. The work is motivated by the need for a universal theoretical model capable of describing the integration of physical, virtual, and conceptual spaces, particularly in response to increasing fragmentation across contemporary communication systems.

BBS is proposed as a symmetry-based mediation framework in which relationships between domains—such as physical and virtual space, cognition and computation, and multiple sensory modalities—are treated as structurally equivalent and mappable. Central …

Optical Response Of 3d Model Topological Nodal-Line Semimetal, Sita Kandel, Godfrey Gumbs, Oleg L. Berman

Publications and Research

Wepresent a semi-analytical expression for both longitudinal and transverse optical conductivities of a model TNLSM employing the Kubo formula with emphasis on the optical spectral weight redistribution, deduced from appropriate Green’s func tions. In this semimetal, the conduction and valence bands cross each other along a one- dimensional curve protected by certain symmetry group in the 3D Brillouin zone. Although the crossing cannot be removed by any perturbations, it can be adjusted by continuous tuning of the Hamiltonian with a parameter α. When α>0, the two bands cross each other near the Γ point in the (kx,ky) plane of …

A Review Of Theropithecus Oswaldi With The Proposal Of A New Subspecies, Dagmawit Abebe Getahun, Eric Delson, Chalachew Mesfin Seyoum

Publications and Research

Theropithecus oswaldi darti, as currently understood, is the oldest Theropithecus taxon in the fossil record and the earliest subspecies in the Theropithecus oswaldi lineage. Theropithecus oswaldi darti is typified at the site of Makapansgat in South Africa, and a similar form (T. o. cf. darti) is usually recognized at Hadar, Dikika, some Middle Awash localities, and Woranso-Mille in Ethiopia. This taxon is also tentatively believed to occur in Kenya at Kanam and Koobi Fora and in Member C of the Shungura Formation in Ethiopia. While there is a general consensus that the East African ‘darti’ specimens are …

Weird Winter Weather In The Anthropocene: How Volatile Temperatures Shape Violent Crime, Christopher Thomas, Kevin T. Wolff

Publications and Research

Purpose: Current evidence suggests volatile temperatures are becoming more common because of climate change and can be expected to become even more frequent in the future. By focusing on recent temperature variability, we attempt to estimate one important dimension of the impact of climate change on violent crime. We also explore whether sudden upward temperature anomalies have stronger positive impacts on violent crime in the coldest months of the year, as routine activities are likely to change more drastically during this period.

Methods: This study explores the association between sudden temperature anomalies (both upward and downward) and the daily incidence …

Artificial Intelligence In Neuroradiology: A Scoping Review Of Some Ethical Challenges, Pegah Khosravi, Mark Schweitzer

Publications and Research

Artificial intelligence (AI) has great potential to increase accuracy and efficiency in many aspects of neuroradiology. It provides substantial opportunities for insights into brain pathophysiology, developing models to determine treatment decisions, and improving current prognostication as well as diagnostic algorithms. Concurrently, the autonomous use of AI models introduces ethical challenges regarding the scope of informed consent, risks associated with data privacy and protection, potential database biases, as well as responsibility and liability that might potentially arise. In this manuscript, we will first provide a brief overview of AI methods used in neuroradiology and segue into key methodological and ethical challenges. …

Understanding Data Mining And Its Relation To Information Systems, Malak Alammari

Publications and Research

This research project aims to enrich an Open Educational Resource (OER) textbook on Introduction to Information Systems/Technology with a focus on data mining and its relation to hardware and software components of information systems. The study will address the following research questions: (1) What is data mining? and (2) How does data relate to the hardware and software components of information systems? To answer these questions, the researcher will conduct research to ascertain the current state of data mining and its relevance in the field of information systems/technology. The results of the research will be incorporated into an existing OER …

Augmented & Virtual Reality: Advancement Of Technology And Its Impacts On Medicine, Education, And Other Industries, Yassine Chahid

Publications and Research

Throughout the early 2000s, the ways in which the World Wide Web was used would undergo major changes. The introduction of these changes around this time period would be collectively known as Web 2.0. With Web 2.0, accessibility and distribution of applications became more simplified. During the 2000s, much has evolved from hard capabilities to the internet and its widespread usage amongst companies and general consumers. In contemporary times, multiple technologies, both hardware and digital are becoming more advanced, with general consumers either rejecting or accepting these gradual shifts in what may become everyday technology. Web 3.0, the theoretical advancement …

Machine Learning In Finances, Elma Kastrat, Akinyemi Apampa, Satyanand Singh

Publications and Research

In our study we work on an optimization of an appropriate stock portfolio base on available information. Our work takes into consideration the average return and any associated risk. We produce an investment strategy that predictively allows a portfolio to grow with high yields.

The Compound Risk Of Heat And Covid-19 In New York City: Riskscapes, Physical And Social Factors, And Interventions, Janelle Knox-Hayes, Juan Camilo Osorio, Natasha Stamler, Maria Dombrov, Rose Winer, Mary Hannah Smith, Reginald Blake, Cynthia Rosenzweig

Publications and Research

Climate change is disrupting the fundamental conditions of human life and exacerbating existing inequity by placing further burdens on communities that are already vulnerable. Risk exposure varies by where people live and work. In this article, we examine the spatial overlap of the compound risks of COVID-19 and extreme heat in New York City. We assess the relationship between socio-demographic and natural, built and social environmental characteristics, and the spatial correspondence of COVID-19 daily case rates across three pandemic waves. We use these data to create a compound risk index combining heat, COVID-19, density and social vulnerability. Our findings demonstrate …

Number Theoretic Arithmetic Functions And Dirichlet Series, Ivan V. Morozov

Publications and Research

In this study, we will study number theoretic functions and their associated Dirichlet series. This study lay the foundation for deep research that has applications in cryptography and theoretical studies. Our work will expand known results and venture into the complex plane.

Logic And Rationality, Rohit J. Parikh

Publications and Research

Logic aims at truth, or more accurately, at deriving some truths from other truths. But why are we interested in truth in the first place? Surely one reason is that relying on truth makes it easier to make better choices.

One could think of Game theory as a tool which bridges the gap between logic and rationality.

Decision theory - or single agent game theory tells us when to make the best choice in a game of us against nature. But nature has no desire to further or frustrate our efforts. Nature is mysterious but not malign. Things change when …

All Things Being Equal (Not): Undergraduate Research Mentoring Of Black Males In Stem, Joni Schwartz

Publications and Research

No abstract provided.

A Result In The Theory Of Twin Primes, Nelson Carella

Publications and Research

This article determines a lower bound for the number of twin primes $p$ and $p+2$ up to a large number $x$.

Muon-Electron Scattering At Nnlo, A. Broggio, T. Engel, Andrea Ferroglia, M. K. Mandal, P. Mastrolia, M. Rocco, J. Ronca, A. Signer, W. J. Torres Bobadilla, Y. Ulrich, M. Zoller

Publications and Research

We present the first calculation of the complete set of NNLO QED corrections for muon-electron scattering. This includes leptonic, non-perturbative hadronic, and photonic contributions. All fermionic corrections as well as the photonic subset that only corrects the electron or the muon line are included with full mass dependence. The genuine four-point two-loop topologies are computed as an expansion in the small electron mass, taking into account both, logarithmically enhanced as well as constant mass effects using massification. A fast and stable implementation of the numerically delicate real-virtual contribution is achieved by combining OPENLOOPS with next-to-soft stabilisation. All matrix elements are …

R-Symmetries And Curvature Constraints In A-Twisted Heterotic Landau–Ginzburg Models, Richard S. Garavuso

Publications and Research

In this paper, we discuss various aspects of a class of A-twisted heterotic Landau–Ginzburg models on a Kähler variety X. We provide a classification of the R-symmetries in these models which allow the A-twist to be implemented, focusing on the case in which the gauge bundle is either a deformation of the tangent bundle of X or a deformation of a sub-bundle of the tangent bundle of X. Some anomaly-free examples are provided. The curvature constraint imposed by supersymmetry in these models when the superpotential is not holomorphic is reviewed. Constraints of this nature have been used to establish properties …

C-Glycopyranosyl Aldehydes: Emerging Chiral Synthons In Organic Synthesis, Sandeep Kumar, Vinod Khatri, Priyanka Mangla, Rajni Johar Chhatwal, Virinder S. Parmar, Ashok K. Prasad

Publications and Research

Herein, we have summarized the vast array of synthetic processes that have been developed for the synthesis of C-glycopyranosyl aldehydes and diverse C-glycoconjugates derived from them by covering the literature reported from 1979 to 2023. Notwithstanding its challenging chemistry, C-glycosides are considered stable pharmacophores and are used as important bioactive molecules. The discussed synthetic methodologies to access C-glycopyranosyl aldehydes take advantage of seven key intermediates, viz. allene, thiazole, dithiane, cyanide, alkene, and nitromethane. Furthermore, the integration of complex C-glycoconjugates derived from varied C-glycopyranosyl aldehydes involves nucleophilic addition/substitution, reduction, condensation, oxidation, cyclo condensation, coupling, and …

Adaptive Single Low-Light Image Enhancement By Fractional Stretching In Logarithmic Domain, Thaweesak Trongtirakul, Sos S. Agaian, Shiqian Wu

Publications and Research

Low-light image enhancement is a challenging task that aims to improve the visibility and quality of images captured in dark environments. However, existing methods often introduce undesirable artifacts such as color distortion, halo effects, blocking artifacts, and noise amplification. In this paper, we propose a novel method that overcomes these limitations by using the logarithmic domain fractional stretching approach to estimate the reflectance component of the image based on the improved Retinex theory. Moreover, we apply a simple adaptive gamma correction algorithm to the Lab color-space to adjust the brightness and saturation of the image. Our method effectively reduces the …

Cup Is Essential For Oskar Mrna Translational Repression During Early Drosophila Oogenesis, Livia V. Bayer, Samantha Milano, Stephen K. Formel, Harpreet Kaur, Rishi Ravichandran, Juan A. Cambeiro, Lizaveta Slinko, Irina E. Catrina, Diana P. Bratu

Publications and Research

Study of the timing and location for mRNA translation across model systems has begun to shed light on molecular events fundamental to such processes as intercellular communication, morphogenesis, and body pattern formation. In D. melanogaster, the posterior mRNA determinant, oskar, is transcribed maternally but translated only when properly localized at the oocyte’s posterior cortex. Two effector proteins, Bruno1 and Cup, mediate steps of oskar mRNA regulation. The current model in the field identifies Bruno1 as necessary for Cup’s recruitment to oskar mRNA and indispensable for oskar’s translational repression. We now report that this Bruno1-Cup interaction leads …

Single Inclusive Hadron Production In Dis At Small X: Next To Leading Order Corrections, Filip Bergabo, Jamal Jalilian-Marian

Publications and Research

We calculate the one-loop corrections to single inclusive hadron production in Deep Inelastic Scattering (DIS) at small x in the forward rapidity region using the Color Glass Condensate formalism. We show that the divergent parts of the next to leading order (NLO) corrections either cancel among each other or lead to x (rapidity) evolution of the leading order (LO) dipole cross section according to the JIMWLK evolution equation and DGLAP evolution of the parton-hadron fragmentation function. The remaining finite parts constitute the NLO (α_s) corrections to the LO single inclusive hadron production cross section in DIS at …

Distinctions Between Choroidal Neovascularization And Age Macular Degeneration In Ocular Disease Predictions Via Multi-Size Kernels Ξcho-Weighted Median Patterns, Alex Liew, Sos Agaian, Samir Benbelkacem

Publications and Research

Age-related macular degeneration is a visual disorder caused by abnormalities in a part of the eye’s retina and is a leading source of blindness. The correct detection, precise location, classification, and diagnosis of choroidal neovascularization (CNV) may be challenging if the lesion is small or if Optical Coherence Tomography (OCT) images are degraded by projection and motion. This paper aims to develop an automated quantification and classification system for CNV in neovascular age-related macular degeneration using OCT angiography images. OCT angiography is a non-invasive imaging tool that visualizes retinal and choroidal physiological and pathological vascularization. The presented system is based …

Quantity Of Questing Black-Legged Ticks And Associated Micro-Scale Environmental Data Collected From Four Suburban Parks Near New York City, Shipeng Sun, Chong Di, Li Li, Brian Sulkow, Weigang Qiu

Publications and Research

During 2017 and 2018, we collected the quantity of questing black-legged ticks (Ixodes scapularis), also known as deer ticks, in 124 sampling sites of 5m by 5m in four state parks—Caumsett State Historic Park, Connetquot River State Park, Rockefeller State Park, and Fire Island National Seashore—around New York City. The black-legged tick is the primary vector for the spirochete Borrelia burgdorferi, the pathogen of Lyme disease, in Northeastern United States. Using the flagging method, we collected and counted the numbers of adult and nymphal black-legged ticks at each site. Along with these quantities, we also recorded the …

Impact Melt Rocks From The Late Paleocene Hiawatha Impact Structure, Northwest Greenland, William R. Hyde, Adam A. Garde, Nynke Keulen, Sebastian N. Malkki, Steven J. Jaret, Tod Waight, Pierre Beck, Iain Mcdonald, Nicolaj K. Larsen

Publications and Research

Impact melt rocks formed during hypervelocity impact events are ideal for studying impact structures. Here, we describe impact melt rock samples collected proximal to the 31 km wide 58 Ma Hiawatha impact structure, northwest Greenland, which is completely covered by the Greenland Ice Sheet. The melt rocks contain diagnostic shock indicators (e.g., planar deformation features [PDF] in quartz and shocked zircon) and form three groups based on melt textures and chemistry: (i) hypocrystalline, (ii) glassy, and (iii) carbonate-based melt rocks. The exposed foreland directly in front of the structure consists of metasedimentary successions and igneous plutons; however, the carbonate-based impactites …

Active Learning For Efficient Soil Monitoring In Large Terrain With Heterogeneous Sensor Network, Hui Chen, Ju Wang

Publications and Research

Soils are a complex ecosystem that provides critical services, such as growing food, supplying antibiotics, filtering wastes, and maintaining biodiversity; hence monitoring soil health and domestication is required for sustainable human development. Low-cost and high-resolution soil monitoring systems are challenging to design and build. Compounded by the sheer size of the monitoring area of interest and the variety of biological, chemical, and physical parameters to monitor, naive approaches to adding or scheduling more sensors will suffer from cost and scalability problems. We investigate a multi-robot sensing system integrated with an active learning-based predictive modeling technique. Taking advantage of advances in …

Futures On Dry Ground: Anthropology And Coastal Planning, Theodore Hilton, Sheehan Moore

Publications and Research

Around the world, governments, industry, and other actors are creating plans to save coasts from environmental crisis. Louisiana is one prominent example: levees and other measures protect oil and gas infrastructure from inundation as the wetlands buffer rapidly erodes—in large part due to that same industry. The state’s primary answer to land loss is a $50 billion Coastal Master Plan. To illuminate such responses in Louisiana and globally, this article reviews emerging literature and frames an anthropology of coastal planning around three themes: (1) novel orientations toward time and space, (2) the reproduction of power and capital in the name …

Molecular Mechanism Behind The Safe Immunostimulatory Effect Of Withania Somnifera, Kriti Kalpana, Shen Yap, Moriya Tsuji, Akira Kawamura

Publications and Research

Withania somnifera (L.) Dunal (family Solanaceae) is a medicinal plant known for, among many pharmacological properties, an immune boosting effect. Our recent study revealed that its key immunostimulatory factor is lipopolysaccharide of plant-associated bacteria. This is peculiar, because, although LPS can elicit protective immunity, it is an extremely potent pro-inflammatory toxin (endotoxin). However, W. somnifera is not associated with such toxicity. In fact, despite the presence of LPS, it does not trigger massive inflammatory responses in macrophages. To gain insights into the safe immunostimulatory effect of W. somnifera, we conducted a mechanistic study on its major phytochemical constituent, …

Changes To Sea Surface Temperatures And Vertical Wind Shear And Their Influence On Tropical Cyclone Activity In The Caribbean And The Main Developing Region, Keneshia Hibbert, Equisha Glenn, Thomas M. Smith, Jorge E. González-Cruz

Publications and Research

Sea surface temperatures and vertical wind shear are essential to tropical cyclone formation. TCs need warm SSTs and low shear for genesis. Increasing SSTs and decreasing VWS influences storm development. This work analyzes SST and VWS trends for the Caribbean, surrounding region, and the Atlantic hurricane main developing region from 1982–2020. Storm intensity increases significantly during this period. Annual and seasonal trends show that regional SSTs in the MDR are warming annually at 0.0219 °C yr⁻¹ and, per season, 0.0280 °C yr⁻¹. Simultaneously, VWS decreases during the late rainfall season, at 0.056 m/s yr⁻¹ in the …

Structure–Activity Relationship Studies On 6-Chloro-1-Phenylbenzazepines Leads To The Identification Of A New Dopamine D1 Receptor Antagonist, Rajan Giri, Hari K. Namballa, Vishwashiv Emogaje, Wayne W. Harding

Publications and Research

The 1-phenylbenzazepine template has yielded a number of D1R-like ligands, which, though useful as pharmacological tools, have significant drawbacks in terms of selectivity versus D5R as well as pharmacokinetic behavior. A number of 1-phenylbenzazepines contain a 6-chloro functional group, but extensive SAR studies around the 6-chloro-1-phenylbenzazepine framework have not been reported in the literature. To further understand the tolerance of the 6-chloro-1-phenylbenzazepine template for various substituent groups towards affinity and selectivity at D1R, we synthesized two series of analogs with structural variations at the C-7, C-8, N-3, C-3′ and C-4′ positions. The series 2 analogs differed from …

Ecological Niche Comparison Among Closely Related Tree Species Of Lauraceae Using Climatic And Edaphic Data, Laura J. Giraldo-Kalil, Gonzalo E. Pinilla Buitrago, Andrés Lira-Noriega, Francisco Lorea-Hernández, Juan Núñez-Farfán

Publications and Research

ABSTRACT:

Edaphic specialization is considered to promote ecological differentiation among closely related species of Damburneya (Lauraceae) occurring in sympatry. However, little is known about the effects of soil and other key environmental factors like climate on the ecological niche and distribution of these tree species. Here, we assessed the role of climate and soil on niche divergence and potential distribution of four Damburneya species whose distributions span Central America and Mexico. We performed ecological niche modeling with MaxEnt using three sets of environmental data: climatic-only, edaphic-only, and a combination of both, to characterize species niches and suitable distribution areas. Niche …

Hamiltonian Structure Of 2d Fluid Dynamics With Broken Parity, Gustavo Machado Monteiro, Alexander G. Abanov, Sriram Ganeshan

Publications and Research

Isotropic fluids in two spatial dimensions can break parity symmetry and sustain transverse stresses which do not lead to dissipation. Corresponding transport coefficients include odd viscosity, odd torque, and odd pressure. We consider an isotropic Galilean invariant fluid dynamics in the adiabatic regime with momentum and particle density conservation. We find conditions on transport coefficients that correspond to dissipationless and separately to Hamiltonian fluid dynamics. The restriction on the transport coefficients will help identify what kind of hydrodynamics can be obtained by coarse-graining a microscopic Hamiltonian system. Interestingly, not all parity-breaking transport coefficients lead to energy conservation and, generally, the …