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Articles 32251 - 32280 of 294415
Full-Text Articles in Physical Sciences and Mathematics
Machine Learning Of Big Data: A Gaussian Regression Model To Predict The Spatiotemporal Distribution Of Ground Ozone, Jerry Gu
The Journal of Purdue Undergraduate Research
Tracking pollution levels on the ground is important to the environment and public health. One of the pollutants of concern is ozone, which, at high concentrations, can cause respiratory and cardiovascular problems. The National Center for Atmospheric Research (NCAR) has published valuable ozone data obtained from ground-based sensors installed at selected locations. Because it is unfeasible to measure the exact ozone levels everywhere at any time, it would be valuable to predict the temporal-spatial distributions of ozone concentration based on existing data. This would help us better understand the patterns and trends in the data and make better decisions to …
A Computational Profile Of Invasive Lionfish In Belize: A New Insight On A Destructive Species, Joshua E. Balan
A Computational Profile Of Invasive Lionfish In Belize: A New Insight On A Destructive Species, Joshua E. Balan
The Journal of Purdue Undergraduate Research
Since their discovery in the region in 2009, invasive Indonesian-native lionfish have been taking over the Belize Barrier Reef. As a result, populations of local species have dwindled as they are either eaten or outcompeted by the invaders. This has led to devastating losses ecologically and economically; massive industries in the local nations, such as fisheries and tourism, have suffered greatly. Attempting to combat this, local organizations, from nonprofits to ecotourism companies, have been manually spear-hunting them on scuba dives to cull the population. One such company, Reef Conservation Institute (ReefCI), operating out of Tom Owens Caye outside of Placencia, …
Clouds In The Ancient Lunar Atmosphere: Water Ice Nucleation On Aerosol Simulants, Mariana C. Aguilar
Clouds In The Ancient Lunar Atmosphere: Water Ice Nucleation On Aerosol Simulants, Mariana C. Aguilar
The Journal of Purdue Undergraduate Research
Today’s moon is vastly different from what it was 3 billion years ago. At that time, it was home to a collisional atmosphere formed through massive amounts of volcanism, releasing enough subsurface gas to sustain surface pressures of up to 1 kPa. Observations of our solar system have taught us that all dense atmospheres are host to clouds and aerosols, and we expect the Moon’s to be no different. Knowing when, where, and under what conditions cloud particles form is important for understanding the evolution of the lunar atmosphere, how it reacted to temperature gradients, and how it cycled volatiles. …
The Aim To Decentralize Economic Systems With Blockchains And Crypto, Mary Lacity
The Aim To Decentralize Economic Systems With Blockchains And Crypto, Mary Lacity
Arkansas Law Review
As an information systems (“IS”) professor, I wrote this Article for legal professionals new to blockchains and crypto. This target audience likely is most interested in crypto for its legal implications—depending on whether it functions as currencies, securities, commodities, or properties; however, legal professionals also need to understand crypto’s origin, how transactions work, and how they are governed.
Evaluating The Neotectonic Activities Of The Eastern Makran At The Northern Edge Of The Triple Junction In Southwest Pakistan, Waseem Khan, Ke Zhang, Hao Liang
Evaluating The Neotectonic Activities Of The Eastern Makran At The Northern Edge Of The Triple Junction In Southwest Pakistan, Waseem Khan, Ke Zhang, Hao Liang
Turkish Journal of Earth Sciences
A number of five GIS-based indices, such as stream slope (Ss), surface roughness (Sr), asymmetric factor (Af), hypsometry integral (Hi), and stream-length gradient (SL), were summarised to examine the intensity of the index of tectonic activity (IAT) in 43 subbasins of Hingol Basin at the northern edge of the triple junction in southwest Pakistan. In addition, tectonic influences were identified by knickpoints spatial distribution and field surveys. The majority of the indices are consistent and display roughly the same classifications. The uncertain results have a less substantial impact on the obtained results in most of the 43 subbasins. Using these …
Mineralogical And Geochemical Characteristics Of The Upper Cretaceous And Lower Paleocene Parts Of The Germav Formation: Southeastern Türkiye, Sema Teti̇ker
Turkish Journal of Earth Sciences
The mineralogical and chemical characteristics of Upper Cretaceous-Lower Paleocene claystone sediment samples taken from Mardin and Batman, located in southeastern Türkiye, were analyzed in the present study. The clay mineral paragenesis in the Upper Cretaceous units consisted of chlorite-smectite (C-S) and illite, whereas the Lower Paleocene unit consisted of chlorite-vermiculite (CV) and vermiculite minerals. Analyses conducted on clay samples indicated high levels of Al, Mg, Fe, Cr, V, Ni, and Zr. Low levels of alkali and alkaline earth elements (Mg, Na, Ca, K) in the clay-rich sediments suggest relatively high-grade weathering in the source area. The mineralogical compositions, major elemental …
An Experimental Investigation On The Discrete Poisson’S Upward Continuation Of Anomalous Gravity Field Data, Mehmet Si̇mav, Bi̇hter Erol, Muhammet Aki̇f Gülender, Serdar Erol
An Experimental Investigation On The Discrete Poisson’S Upward Continuation Of Anomalous Gravity Field Data, Mehmet Si̇mav, Bi̇hter Erol, Muhammet Aki̇f Gülender, Serdar Erol
Turkish Journal of Earth Sciences
The Poisson upward continuation of gravity field functionals, typically given on the Earth’s irregular topography with limited spatial extent, necessitates some proper treatments due to the theoretical requirements. This study reviews the Poisson theory and investigates a more rigorous methodology for the numerical solution of the spherical integral equation by addressing many issues such as spherical-Earth model implementation, far-zone effect, Poisson kernel modification, and suitable ground data reduction scheme. We first explore the far-zone effect and search for an optimal near-zone spherical cap radius above which the truncation error is negligible. We then compare different variants of remove-restore technique with …
Microfacies, Geometry And Growth Phases Of Microbial Mound In Gucheng Area, Southeastern Tarim Basin, China, Xu Chen, Iftikhar Satti, Yuwen Dong
Microfacies, Geometry And Growth Phases Of Microbial Mound In Gucheng Area, Southeastern Tarim Basin, China, Xu Chen, Iftikhar Satti, Yuwen Dong
Turkish Journal of Earth Sciences
Microbial mound is favorable carbonate reservoir for petroleum exploration, especially for the deep tight reservoirs in the Tarim petroliferous basin. Due to lack of effective research methods, it is difficult to analyze its unique sedimentary structure and evolution process. In this study, based on cores, thin-sections, logging, 3D seismic data and geochemical test data, the petrographic texture, microfacies, geometry and growth phases of microbial mound in Gucheng area, Southeastern Tarim Basin were investigated, which can be used to reconstruct dynamic evolution of the microbial mounds and discuss the controlling factors. The major results are as follows: (1) Gucheng area is …
Genesis Of Efficient Reservoirs In Mixed Sedimentary Setting: A Case Study Of Benxi Formation In The Gaoqiao Area, Ordos Basin, Shu Liu, Jinbu Li, Fengbo Jin, Haifeng Liu, Meng Wang, Yulin Cheng, Yulin Cheng, Xiaohong Zhong, Hao Lu
Genesis Of Efficient Reservoirs In Mixed Sedimentary Setting: A Case Study Of Benxi Formation In The Gaoqiao Area, Ordos Basin, Shu Liu, Jinbu Li, Fengbo Jin, Haifeng Liu, Meng Wang, Yulin Cheng, Yulin Cheng, Xiaohong Zhong, Hao Lu
Turkish Journal of Earth Sciences
The Benxi-Taiyuan Formation in the southern region of the Ordos Basin represents a typical mixed sedimentary system, which has witnessed recent breakthroughs in the exploration of tight sandstone gas within the Benxi Formation. However, the development patterns of reservoirs in this mixed sedimentary area remain unclear, influenced by the sedimentary model and the distribution scale of sedimentary sandstone bodies. This study investigates the paleogeomorphology, sedimentary model, sandstone body type, petrological characteristics, and pore structure of the Benxi Formation. Field profiles, drilling core observations, microscopic section analysis, scanning electron microscopy (SEM), high-pressure mercury injection (HPMI), and physical property analysis are employed. …
Dinsar Analysis And Geophysical Modeling Of 2022 November 23 Gölyaka-Düzce Earthquake, Şükrü Onur Karaca, Gülteki̇n Erten, Batuğhan Yikmaz, Seli̇m Özalp
Dinsar Analysis And Geophysical Modeling Of 2022 November 23 Gölyaka-Düzce Earthquake, Şükrü Onur Karaca, Gülteki̇n Erten, Batuğhan Yikmaz, Seli̇m Özalp
Turkish Journal of Earth Sciences
Numerous significant earthquakes have occurred along the North Anatolian Fault Zone (NAFZ), Türkiye’s most important fault zone. An earthquake with magnitude of Mw 6.0 occurred near the Gölyaka District of Düzce Province at 04:08 local time on November 23, 2022. According to the moment tensor solutions published by national and international seismology centers, the earthquake occurred at the northeast end of the Karadere segment within the NAFZ and was caused by a right-lateral strike-slip fault in the NW-SE direction. In this study, the differential interferometric synthetic aperture radar (InSAR) method was employed to analyze the deformation. Four Sentinel-1A complex datasets …
Landslide Susceptibility Assessment Of The Asi Watershed, Southern Türkiye, Senem Teki̇n, Adolfo Quesada Román, Tolga Çan
Landslide Susceptibility Assessment Of The Asi Watershed, Southern Türkiye, Senem Teki̇n, Adolfo Quesada Román, Tolga Çan
Turkish Journal of Earth Sciences
Landslides constitute recurrent natural hazards worldwide with greater socioeconomic impacts in low-income places. Landslide susceptibility studies are carried out to determine the potential for landslides to occur in a region, to predict possible risks in the future and to integrate this information into sustainable planning and management strategies. Slip-type landslides occur in limited areas of less than 1% of the Asi watershed in Southern Türkiye. Therefore, meaningful estimations cannot be made with classical statistical models. So, using the maximum entropy approach (MaxEnt), a technique for estimating based on a small number of observations, a landslide susceptibility assessment was constructed. The …
A Survey On Training Challenges In Generative Adversarial Networks For Biomedical Image Analysis, Muhammad Muneeb Saad, Ruairi O'Reilly, Mubashir Husain Rehmani
A Survey On Training Challenges In Generative Adversarial Networks For Biomedical Image Analysis, Muhammad Muneeb Saad, Ruairi O'Reilly, Mubashir Husain Rehmani
Department of Computer Science Publications
In biomedical image analysis, the applicability of deep learning methods is directly impacted by the quantity of image data available. This is due to deep learning models requiring large image datasets to provide high-level performance. Generative Adversarial Networks (GANs) have been widely utilized to address data limitations through the generation of synthetic biomedical images. GANs consist of two models. The generator, a model that learns how to produce synthetic images based on the feedback it receives. The discriminator, a model that classifies an image as synthetic or real and provides feedback to the generator. Throughout the training process, a GAN …
Triberta And Beyond: Redefining Entity Resolution With Large Language Models, Bi Foua
Triberta And Beyond: Redefining Entity Resolution With Large Language Models, Bi Foua
Theses and Dissertations
Entity resolution (ER) plays a pivotal role across domains by enabling data integration and quality improvement. This dissertation delves into the evolving landscape of ER, introducing innovative approaches that redefine this fundamental task. The first contribution is TriBERTa, a novel representation learning model tailored for ER. TriBERTa sets new benchmarks in entity matching and demonstrates versatility across ER processes like data blocking and resolution. Empirical evaluations on diverse datasets showcase TriBERTa’s superior performance over existing representations, including from large language models. The second contribution explores the use generative language models like GPT-3.5 and Dolly 2.0 for cross-domain entity matching using …
The Outburst Probability Index (Ww) As A New Tool In The Coal Seam Outburst Hazard Forecasting, Marcin Dreger, Piotr Celary
The Outburst Probability Index (Ww) As A New Tool In The Coal Seam Outburst Hazard Forecasting, Marcin Dreger, Piotr Celary
Journal of Sustainable Mining
Gas and rock outbursts are one of the most unpredictable natural hazards in Polish and worldwide underground mining. The complexity and unpredictability of this phenomenon make forecasting and underground prevention difficult to achieve. Gas-geodynamic phenomenon occurs in greater intensity in the southern part of the Upper Silesian Coal Basin (USCB) – close to the Bzie-Czechowice fault zone. The relatively low firmness of coal combined with high methane content and pressure may result in a coal seam outburst. To forecast the gas and rock outburst occurrence, the sorption capacity and gas diffusion parameters are used in Polish coal mining. To provide …
Stability Of A Solid Oxide Cell Stack Under Direct Internal-Reforming Of Hydrogen-Blended Methane, Ya-Fei Tang, An-Qi Wu, Bei-Bei Han, Hua Liu, Shan-Jun Bao, Wang-Lin Lin, Ming Chen, Wan-Bing Guan, Subhash C. Singhal
Stability Of A Solid Oxide Cell Stack Under Direct Internal-Reforming Of Hydrogen-Blended Methane, Ya-Fei Tang, An-Qi Wu, Bei-Bei Han, Hua Liu, Shan-Jun Bao, Wang-Lin Lin, Ming Chen, Wan-Bing Guan, Subhash C. Singhal
Journal of Electrochemistry
In this work, the long-term stability and degradation mechanism of a direct internal-reforming solid oxide fuel cell stack (IR-SOFC stack) using hydrogen-blended methane steam reforming were investigated. An overall degradation rate of 2.3%·kh–1 was found after the stack was operated for 3000 hours, indicating a good long-term stability. However, the voltages of the two cells in the stack were increased at the rates of 3.38 mV·kh–1 and 3.78 mV·kh–1, while the area specific resistances of the three metal interconnects in the stack were increased to 0.276 Ω·cm2, 0.254 Ω·cm2 and 0.249 Ω·cm2 …
Rational Design Of Heterostructured Nanomaterials For Accelerating Electrocatalytic Hydrogen Evolution Reaction Kinetics In Alkaline Media, Hai-Bin Ma, Xiao-Yan Zhou, Jia-Yi Li, Hong-Fei Cheng, Ji-Wei Ma
Rational Design Of Heterostructured Nanomaterials For Accelerating Electrocatalytic Hydrogen Evolution Reaction Kinetics In Alkaline Media, Hai-Bin Ma, Xiao-Yan Zhou, Jia-Yi Li, Hong-Fei Cheng, Ji-Wei Ma
Journal of Electrochemistry
Owing to the merits of high energy density, as well as clean and sustainable properties, hydrogen has been deemed to be a prominent alternative energy to traditional fossil fuels. Electrocatalytic hydrogen evolution reaction (HER) has been considered to be mostly promising for achieving green hydrogen production, and has been widely studied in acidic and alkaline solutions. In particular, HER in alkaline media has high potential to achieve large-scale hydrogen production because of the increased durability of electrode materials. However, for the currently most prominent catalyst Pt, its HER kinetics in an alkaline solution is generally 2–3 orders lower than that …
Monodispersed Cu-Tcpp/Cu2O Hybrid Microspheres: A Superior Cascade Electrocatalyst Toward Co2 Reduction To C2 Products, Zi-Xuan Wan, Aidar Kuchkaev, Dmitry Yakhvarov, Xiong-Wu Kang
Monodispersed Cu-Tcpp/Cu2O Hybrid Microspheres: A Superior Cascade Electrocatalyst Toward Co2 Reduction To C2 Products, Zi-Xuan Wan, Aidar Kuchkaev, Dmitry Yakhvarov, Xiong-Wu Kang
Journal of Electrochemistry
The electrochemical conversion of carbon dioxide (CO2) into valuable chemicals is a feasible way to mitigate the negative impacts of overmuch CO2 emissions. Porphyrin-based metal organic frameworks (MOFs) are expected to be used for selective and efficient electrochemical CO2 reduction (ECR) with porous structure and ordered active sites. Herein, we report the synthesis of a monodispersed and spherical organic/inorganic hybrid Cu-TCPP@Cu2O electrocatalyst composed of Cu-TCPP (TCPP=tetrakis (4-carboxyphenyl) porphyrin) and Cu2O, where TCPP plays significant roles in regulating the morphology. In-situ formed Cu during ECR process in combination with Cu-TCPP (Cu-TCPP@Cu) can suppress …
Advancing Cognitive Accessibility: The Role Of Artificial Intelligence In Enhancing Inclusivity, Rukiya Deetjen-Ruiz, Marjorie P Daniel, Jennie Telus, Lodz Deetjen
Advancing Cognitive Accessibility: The Role Of Artificial Intelligence In Enhancing Inclusivity, Rukiya Deetjen-Ruiz, Marjorie P Daniel, Jennie Telus, Lodz Deetjen
All Works
This editorial examines the transformative role of Artificial Intelligence (AI) in enhancing cognitive accessibility for neurodiverse individuals. It explores the evolution from conventional assistive technologies to sophisticated AI-driven solutions, highlighting how these advancements are reshaping inclusivity in education and the workplace. The piece critically analyzes the benefits and challenges of AI in this context, considering ethical implications, user-centered design, and the need for equitable access. It concludes with a call to action for continued innovation and collaboration in developing AI technologies that truly cater to the diverse needs of neurodiverse individuals.
Re: Comment Letter For The Butte Priority Soils Operable Unit (Bpsou) 2022 Draft Final Insufficiently Reclaimed Sites Sampling: Bres No. 158 Site Evaluation Summary Report (Dated November 21, 2024), Molly Roby
Silver Bow Creek/Butte Area Superfund Site
No abstract provided.
Natural Language Processing Analysis Of Online Reviews For Small Business: Extracting Insight From Small Corpora, Benjamin J. Mccloskey, Phillip M. Lacasse, Bruce A. Cox
Natural Language Processing Analysis Of Online Reviews For Small Business: Extracting Insight From Small Corpora, Benjamin J. Mccloskey, Phillip M. Lacasse, Bruce A. Cox
Faculty Publications
Receiving and acting on customer input is essential to sustaining and growing any service organization, particularly a small family business whose livelihood depends on strong relationships with its customers. The competitive advantage offered by advanced analytical approaches for supporting decisions is not trivial, and enterprises across virtually all domains of society are investing heavily in this emerging discipline. Natural Language Processing (NLP) is a subset of computer science that employs computational approaches to analyze human language; it is effective at extracting insight from text data but frequently requires large corpora to train its models, in the scale of thousands or …
De Novo Drug Design Using Transformer-Based Machine Translation And Reinforcement Learning Of An Adaptive Monte Carlo Tree Search, Dony Ang, Cyril Rakovski, Hagop S. Atamian
De Novo Drug Design Using Transformer-Based Machine Translation And Reinforcement Learning Of An Adaptive Monte Carlo Tree Search, Dony Ang, Cyril Rakovski, Hagop S. Atamian
Biology, Chemistry, and Environmental Sciences Faculty Articles and Research
The discovery of novel therapeutic compounds through de novo drug design represents a critical challenge in the field of pharmaceutical research. Traditional drug discovery approaches are often resource intensive and time consuming, leading researchers to explore innovative methods that harness the power of deep learning and reinforcement learning techniques. Here, we introduce a novel drug design approach called drugAI that leverages the Encoder–Decoder Transformer architecture in tandem with Reinforcement Learning via a Monte Carlo Tree Search (RL-MCTS) to expedite the process of drug discovery while ensuring the production of valid small molecules with drug-like characteristics and strong binding affinities towards …
A Tale Of Two Viruses: Why Smallpox Was Eradicated And Polio Persists, Katherine G. Mcgough, Erin N. Bodine
A Tale Of Two Viruses: Why Smallpox Was Eradicated And Polio Persists, Katherine G. Mcgough, Erin N. Bodine
Spora: A Journal of Biomathematics
The smallpox and poliomyelitis (polio) viruses were, at a time, one of the largest threats to global public health killing millions until global eradication campaigns were put into effect. Vaccination led to the eradication of smallpox and the elimination of polio for most of the world. However, polio continues to persist at endemic levels in Pakistan and Afghanistan. We developed ODE models of smallpox and polio to explore differences in transmission dynamics and determine if the underlying biology has made poliomyelitis more difficult to eradicate. Our model analysis shows there are multiple factors which should allow polio to have a …
A Multi-Criteria Decision Making Model For Sustainable And Resilient Supplier Selection And Management, Samah Ibrahim Abdel Aal
A Multi-Criteria Decision Making Model For Sustainable And Resilient Supplier Selection And Management, Samah Ibrahim Abdel Aal
Neutrosophic Systems with Applications
Sustainable and resilient supplier selection and management are essential to building environmentally responsible and resilient supply chains. Selecting sustainable and resilient suppliers enables organizations to ensure the long-term viability of the supply chain. To do that, there is a need to identify suitable suppliers that align with sustainability and resilience goals. This study aims to provide an overview of the requirements and criteria for selecting and managing sustainable and resilient suppliers and emphasizes the significance of integrating sustainability and resilience principles throughout the supply chain. Multi-criteria decision-making (MCDM) is used to deal with various criteria. The double normalization-based multi-aggregation (DNMA) …
Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache
Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache
Neutrosophic Systems with Applications
We introduce for the first time the appurtenance equation and inclusion equation, which help in understanding the operations with neutrosophic numbers within the frame of neutrosophic statistics. The way of solving them resembles the equations whose coefficients are sets (not single numbers).
Design And Building Of A Customizable, Single-Objective, Light-Sheet Fluorescence Microscope For The Visualization Of Cytoskeleton Networks, Nathan Felcher, Daisy H. Achiriloaie, Brian Lee, Ryan Mcgorty Phd, Janet Sheung
Design And Building Of A Customizable, Single-Objective, Light-Sheet Fluorescence Microscope For The Visualization Of Cytoskeleton Networks, Nathan Felcher, Daisy H. Achiriloaie, Brian Lee, Ryan Mcgorty Phd, Janet Sheung
Physics and Biophysics: Faculty Scholarship
Reconstituted cytoskeleton composites have emerged as a valuable model system for studying non-equilibrium soft matter. The faithful capture of the dynamics of these 3D, dense networks calls for optical sectioning, which is often associated with fluorescence confocal microscopes. However, recent developments in light-sheet fluorescence microscopy (LSFM) have established it as a cost-effective and, at times, superior alternative. To make LSFM accessible to cytoskeleton researchers less familiar with optics, we present a step-by-step beginner's guide to building a versatile light-sheet fluorescence microscope from off-the-shelf components. To enable sample mounting with traditional slide samples, this LSFM follows the single-objective light-sheet (SOLS) design, …
Analyzing Novel Metal Alloys For Glucose Sensing And Electrocatalysis, Anna Grace Boddy
Analyzing Novel Metal Alloys For Glucose Sensing And Electrocatalysis, Anna Grace Boddy
Theses and Dissertations
In pharmaceutical and medicinal chemistry, metals and metal alloys often receive less attention compared to biological or organic compounds due to many factors including toxicity in the body for drug development or the cost of these metals. However, metals can play an important role in pharmaceuticals, having an impact on original cancer drugs, such as platinum used for head and neck tumors. Electrocatalysis is also another topic that receives less attention over topics such as chromatography in pharmaceuticals due to its potential toxic catalysts and voltages that could be harmful to the body. Electrocatalytic sensors can play an important role …
A Multi-Criteria Decision Making Model For Sustainable And Resilient Supplier Selection And Management, Samah Ibrahim Abdel Aal
A Multi-Criteria Decision Making Model For Sustainable And Resilient Supplier Selection And Management, Samah Ibrahim Abdel Aal
Neutrosophic Systems with Applications
Sustainable and resilient supplier selection and management are essential to building environmentally responsible and resilient supply chains. Selecting sustainable and resilient suppliers enables organizations to ensure the long-term viability of the supply chain. To do that, there is a need to identify suitable suppliers that align with sustainability and resilience goals. This study aims to provide an overview of the requirements and criteria for selecting and managing sustainable and resilient suppliers and emphasizes the significance of integrating sustainability and resilience principles throughout the supply chain. Multi-criteria decision-making (MCDM) is used to deal with various criteria. The double normalization-based multi-aggregation (DNMA) …
Generalized Splines On Graphs With Two Labels And Polynomial Splines On Cycles, Portia Anderson, Jacob P. Matherne, Julianna Tymoczko
Generalized Splines On Graphs With Two Labels And Polynomial Splines On Cycles, Portia Anderson, Jacob P. Matherne, Julianna Tymoczko
Mathematics Sciences: Faculty Publications
Generalized splines are an algebraic combinatorial framework that generalizes and unifies various established concepts across different fields, most notably the classical notion of splines and the topological notion of GKM theory. The for- mer consists of piecewise polynomials on a combinatorial geometric object like a polytope, whose polynomial pieces agree to a specified degree of differentiability. The latter is a graph-theoretic construction of torus-equivariant cohomology that Shareshian and Wachs used to reformulate the well-known Stanley–Stembridge con- jecture, a reformulation that was recently proven to hold by Brosnan and Chow and independently Guay-Paquet. This paper focuses on the theory of generalized …
Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache
Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache
Neutrosophic Systems with Applications
We introduce for the first time the appurtenance equation and inclusion equation, which help in understanding the operations with neutrosophic numbers within the frame of neutrosophic statistics. The way of solving them resembles the equations whose coefficients are sets (not single numbers).