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Articles 31 - 60 of 648

Full-Text Articles in Physical Sciences and Mathematics

Mapping E-Commerce Locally And Beyond: Citt K12 Special Investigation Project, Thomas O’Brien, Deanna Matsumoto Nov 2021

Mapping E-Commerce Locally And Beyond: Citt K12 Special Investigation Project, Thomas O’Brien, Deanna Matsumoto

Mineta Transportation Institute

As all aspects of the American workplace become automated or digitally enhanced to some degree, K12 educators have an increasing responsibility to help their students acquire the technical skills necessary to organize and interpret information. Increasingly, this is done through Geographic Information Systems (GIS), especially in careers related to transportation and logistics. The Center for International Trade & Transportation (CITT) at CSU Long Beach has developed this K12 Special Investigation Project to introduce ArcGIS StoryMaps, an engaging, accessible and sophisticated web-based GIS application. The lessons center on e-commerce and its accompanying environmental and economic impact. Still, the activities can be …


Characterization Of Cdom In The Elkhorn Slough Estuary Using Eem Spectroscopy And Its Potential For Macrophyte Monitoring, María Vila Duplá Oct 2021

Characterization Of Cdom In The Elkhorn Slough Estuary Using Eem Spectroscopy And Its Potential For Macrophyte Monitoring, María Vila Duplá

Faculty Research, Scholarly, and Creative Activity

The Elkhorn Slough estuary is an upwelling-influenced system located in Monterey Bay, California. It is of great ecological importance, as it provides essential habitat to over 750 species, and is one of the largest estuaries in California. The sources and distribution of chromophoric dissolved organic matter (cDOM) in Elkhorn Slough are strongly influenced by geochemical processes linked to the transition between sea and continent, and to anthropogenic activity from adjacent lands. In 2016, water samples were collected from across the Elkhorn Slough estuary to assess the sources and spatial dynamics of cDOM and its components throughout the system. Using EEM …


Statistical Potentials For Rna-Protein Interactions Optimized By Cma-Es, Takayuki Kimura, Nobuaki Yasuo, Masakazu Sekijima, Brooke Lustig Oct 2021

Statistical Potentials For Rna-Protein Interactions Optimized By Cma-Es, Takayuki Kimura, Nobuaki Yasuo, Masakazu Sekijima, Brooke Lustig

Faculty Research, Scholarly, and Creative Activity

Characterizing RNA-protein interactions remains an important endeavor, complicated by the difficulty in obtaining the relevant structures. Evaluating model structures via statistical potentials is in principle straight-forward and effective. However, given the relatively small size of the existing learning set of RNA-protein complexes optimization of such potentials continues to be problematic. Notably, interaction-based statistical potentials have problems in addressing large RNA-protein complexes. In this study, we adopted a novel strategy with covariance matrix adaptation (CMA-ES) to calculate statistical potentials, successfully identifying native docking poses.


Exploring The Relationship Between Mandatory Helmet Use Regulations And Adult Cyclists’ Behavior In California Using Hybrid Machine Learning Models, Fatemeh Davoudi Kakhki, Maria Chierichetti Oct 2021

Exploring The Relationship Between Mandatory Helmet Use Regulations And Adult Cyclists’ Behavior In California Using Hybrid Machine Learning Models, Fatemeh Davoudi Kakhki, Maria Chierichetti

Mineta Transportation Institute

In California, bike fatalities increased by 8.1% from 2015 to 2016. Even though the benefits of wearing helmets in protecting cyclists against trauma in cycling crash has been determined, the use of helmets is still limited, and there is opposition against mandatory helmet use, particularly for adults. Therefore, exploring perceptions of adult cyclists regarding mandatory helmet use is a key element in understanding cyclists’ behavior, and determining the impact of mandatory helmet use on their cycling rate. The goal of this research is to identify sociodemographic characteristics and cycling behaviors that are associated with the use and non-use of bicycle …


Computer-Aided Diagnosis Of Low Grade Endometrial Stromal Sarcoma (Lgess), Xinxin Yang, Mark Stamp Sep 2021

Computer-Aided Diagnosis Of Low Grade Endometrial Stromal Sarcoma (Lgess), Xinxin Yang, Mark Stamp

Faculty Research, Scholarly, and Creative Activity

Low grade endometrial stromal sarcoma (LGESS) accounts for about 0.2% of all uterine cancer cases. Approximately 75% of LGESS patients are initially misdiagnosed with leiomyoma, which is a type of benign tumor, also known as fibroids. In this research, uterine tissue biopsy images of potential LGESS patients are preprocessed using segmentation and stain normalization algorithms. We then apply a variety of classic machine learning and advanced deep learning models to classify tissue images as either benign or cancerous. For the classic techniques considered, the highest classification accuracy we attain is about 0.85, while our best deep learning model achieves an …


Traveling Wave Solutions For Two Species Competitive Chemotaxis Systems, T. B. Issa, R. B. Salako, W. Shen Jul 2021

Traveling Wave Solutions For Two Species Competitive Chemotaxis Systems, T. B. Issa, R. B. Salako, W. Shen

Faculty Research, Scholarly, and Creative Activity

In this paper, we consider two species chemotaxis systems with Lotka–Volterra competition reaction terms. Under appropriate conditions on the parameters in such a system, we establish the existence of traveling wave solutions of the system connecting two spatially homogeneous equilibrium solutions with wave speed greater than some critical number c∗. We also show the non-existence of such traveling waves with speed less than some critical number c∗0 , which is independent of the chemotaxis. Moreover, under suitable hypotheses on the coefficients of the reaction terms, we obtain explicit range for the chemotaxis sensitivity coefficients ensuring c∗ = c∗0 , which …


Developing An Effective Targeted Mobile Application To Enhance Transportation Safety And Use Of Active Transportation Modes In Fresno County: The Role Of Application Design & Content, Samer Sarofim Jul 2021

Developing An Effective Targeted Mobile Application To Enhance Transportation Safety And Use Of Active Transportation Modes In Fresno County: The Role Of Application Design & Content, Samer Sarofim

Mineta Transportation Institute

Do pedestrians and cyclists need their own app? Pedestrians and cyclists in Fresno county think so, and this research examined this need and how it relates to the importance of app design. Survey participants (all who regularly use active transportation modes) along with a variety of transportation stakeholders, including the Fresno Council of Government, the California Department of Transportation (Caltrans) District 6, and the City of Fresno — Public Works Department, indicated the importance of designing effective communication tools to enhance the utilization of active transportation modes and to ensure the safety of vulnerable road users. In this study, over …


Tolkien: Scholar And Modern Game Pioneer, Alicia Breinke May 2021

Tolkien: Scholar And Modern Game Pioneer, Alicia Breinke

ART 108: Introduction to Games Studies

History can be a necessity, or necessary evil for some people when we want to comprehend real-time issues or trends. Gaming is a trend that applies to this since we often seem to be drawn in by the excitement of the graphics, music, and storylines, yet it seems like people seldomly try to uncover their origins. At the same time, though, a game’s historic foundation is essential to understand since it can help us gain a greater appreciation for these experiences. Role play games are an exceptional example of this since many renowned ones have external influences. J.R.R. Tolkien’s “The …


Has Excessive Violence In Video Games Gone Too Far?, Kyra Sycip May 2021

Has Excessive Violence In Video Games Gone Too Far?, Kyra Sycip

ART 108: Introduction to Games Studies

Numerous case studies and published research have led many gamers and non-gamers to wonder whether the excessive loads of violence found in video games is truly necessary for “fun” gameplay and entertainment. Controversies have been arising within famous video games such as the Grand Theft Auto series, Call Of Duty: Modern Warfare 2, and Six Days in Fallujah. These three games have been the subject of numerous present day debates and have sparked many arguments within the gaming community. As well as the debate of whether these games are indeed harmful to the player’s psychology and nature has yet to …


Sound In Video Games: How Sound Is An Important Aspect Of The Virtual Experience, James Boen May 2021

Sound In Video Games: How Sound Is An Important Aspect Of The Virtual Experience, James Boen

ART 108: Introduction to Games Studies

This paper will take the form of an analysis, with video games as the medium/text that will be analysed. Although analysis is typically reserved for poems, books, short stories, or plays, video games are simply a form of conveying ideas and a form of text that is representative of the 21st century. Video games is a rare medium that has an interactive element, which can alter/enhance the experience an audience member can have, even if there were the same audio/visual components in a film or play. In most forms of media with an audio component, the analysis is done by …


How This War Of Mine Creates Empathy For Virtual Characters, Cole Pergerson May 2021

How This War Of Mine Creates Empathy For Virtual Characters, Cole Pergerson

ART 108: Introduction to Games Studies

Is it possible to empathize with virtual characters? Are game characters just a means for game and story progress or can we develop a strong emotional connection with them? In this research essay, I analysis This War of Mine, a game about surviving a worn torn city where food is limited, and the player must make difficult moral decisions survive. The player controls a small group of characters who all need to be feed, get enough sleep, may need medical care, and other human needs. To look how This War of Mine creates empathy for the virtual characters, I will …


Human/Artificial Intelligence Coordination In Video Games, Michael Rodriguez May 2021

Human/Artificial Intelligence Coordination In Video Games, Michael Rodriguez

ART 108: Introduction to Games Studies

The emergence of video games has led to widespread inventions to enhance the reality of the experience. As a result, Artificial Intelligence (A.I.) was developed to create virtual experiences and attract a variety of players of video games. This paper will discuss video games in the context of Human-A.I. interaction and the importance of human coordination in video games. Unprecedented errors have been a common challenge in this relationship. An excellent example of these algorithms include population-based training and self-play, which have gained a lot of interest in video games. A.I. technology has surpassed human ability because they are simply …


Multifidelity Prediction In Wildfire Spread Simulation: Modeling, Uncertainty Quantification And Sensitivity Analysis, Mario Miguel Valero, Lluís Jofre, Ricardo Torres Apr 2021

Multifidelity Prediction In Wildfire Spread Simulation: Modeling, Uncertainty Quantification And Sensitivity Analysis, Mario Miguel Valero, Lluís Jofre, Ricardo Torres

Faculty Research, Scholarly, and Creative Activity

Wildfire behavior predictions typically suffer from significant uncertainty. However, wildfire modeling uncertainties remain largely unquantified in the literature, mainly due to computing constraints. New multifidelity techniques provide a promising opportunity to overcome these limitations. Therefore, this paper explores the applicability of multifidelity approaches to wildland fire spread prediction problems. Using a canonical simulation scenario, we assessed the performance of control variates Monte-Carlo (MC) and multilevel MC strategies, achieving speedups of up to 100x in comparison to a standard MC method. This improvement was leveraged to quantify aleatoric uncertainties and analyze the sensitivity of the fire rate of spread (RoS) to …


Predicting Bus Travel Times In Washington, Dc Using Artificial Neural Networks (Anns), Stephen Arhin, Babin Manandhar, Hamdiat Baba Adam, Adam Gatiba Apr 2021

Predicting Bus Travel Times In Washington, Dc Using Artificial Neural Networks (Anns), Stephen Arhin, Babin Manandhar, Hamdiat Baba Adam, Adam Gatiba

Mineta Transportation Institute

Washington, DC is ranked second among cities in terms of highest public transit commuters in the United States, with approximately 9% of the working population using the Washington Metropolitan Area Transit Authority (WMATA) Metrobuses to commute. Deducing accurate travel times of these metrobuses is an important task for transit authorities to provide reliable service to its patrons. This study, using Artificial Neural Networks (ANN), developed prediction models for transit buses to assist decision-makers to improve service quality and patronage. For this study, we used six months of Automatic Vehicle Location (AVL) and Automatic Passenger Counting (APC) data for six Washington …


Peer Motivation: Getting Through Math Together, Jessica Mean, Wes Maciejewski Jan 2021

Peer Motivation: Getting Through Math Together, Jessica Mean, Wes Maciejewski

Faculty Research, Scholarly, and Creative Activity

Students have a complex relationship with mathematics. Some love it, but more often than not, the feelings are less favorable. These feelings can lead to decreased motivation which makes it difficult for students to engage with the subject as the semester progresses. Instructors also have difficulty addressing this waning motivation. In this paper, we claim peers are better able to connect with the students and this can be leveraged to better motivate students. We present an approach to having peers motivate their students. These peer interactions integrated with a mandatory mathematics course might improve students’ motivation.


Using Beam Software To Simulate The Introduction Of On-Demand, Automated, And Electric Shuttles For Last Mile Connectivity In Santa Clara County, Gary Hsueh, David Czerwinski, Cristian Poliziani, Terris Becker, Alexandre Hughes, Peter Chen, Melissa Benn Jan 2021

Using Beam Software To Simulate The Introduction Of On-Demand, Automated, And Electric Shuttles For Last Mile Connectivity In Santa Clara County, Gary Hsueh, David Czerwinski, Cristian Poliziani, Terris Becker, Alexandre Hughes, Peter Chen, Melissa Benn

Mineta Transportation Institute

Despite growing interest in low-speed automated shuttles, pilot deployments have only just begun in a few places in the U.S., and there is a lack of studies that estimate the impacts of a widespread deployment of automated shuttles designed to supplement existing transit networks. This project estimated the potential impacts of automated shuttles based on a deployment scenario generated for a sample geographic area: Santa Clara County, California. The project identified sample deployment markets within Santa Clara County using a GIS screening exercise; tested the mode share changes of an automated shuttle deployment scenario using BEAM, an open-source beta software …


Local Climate Action Planning As A Tool To Harness The Greenhouse Gas Emissions Mitigation And Equity Potential Of Autonomous Vehicles And On-Demand Mobility, Serena Alexander, Asha Weinstein Agrawal, Benjamin Y. Clark Jan 2021

Local Climate Action Planning As A Tool To Harness The Greenhouse Gas Emissions Mitigation And Equity Potential Of Autonomous Vehicles And On-Demand Mobility, Serena Alexander, Asha Weinstein Agrawal, Benjamin Y. Clark

Mineta Transportation Institute

This report focuses on how cities can use climate action plans (CAPs) to ensure that on-demand mobility and autonomous vehicles (AVs) help reduce, rather than increase, green-house gas (GHG) emissions and inequitable impacts from the transportation system. We employed a three-pronged research strategy involving: (1) an analysis of the current literature on on-demand mobility and AVs; (2) a systematic content analysis of 23 CAPs and general plans developed by municipalities in California; and (3) a comparison of findings from the literature and content analysis of plans to identify opportunities for GHG emissions reduction and mobility equity.

Findings indicate that maximizing …


Image Spam Classification With Deep Neural Networks, Ajay Pal Singh, Katerina Potika Dec 2020

Image Spam Classification With Deep Neural Networks, Ajay Pal Singh, Katerina Potika

Faculty Publications, Computer Science

Image classification is a fundamental problem of computer vision and pattern recognition. We focus on images that contain spam. Spam is unwanted bulk content, and image spam is unwanted content embedded inside the images. Image spam potentially creates a threat to the credibility of any email-based communication system. While a lot of machine learning techniques are successful in detecting textual based spam, this is not the case for image spams, which can easily evade these textual-spam detection systems. In our work, we explore and evaluate four deep learning techniques that detect image spams. First, we train deep neural networks using …


How Live Streaming And Twitch Have Changed The Gaming Industry, Krystal Ruiz Dec 2020

How Live Streaming And Twitch Have Changed The Gaming Industry, Krystal Ruiz

ART 108: Introduction to Games Studies

Live streaming in itself has become a booming industry in which its content consists of “streamers” who live broadcast numerous events and real-time interactions while simultaneously chatting with viewers drawing huge and increasing numbers (Adamovich). Twitch has especially excelled at garnering attention as one of the most popular live streaming platforms that focuses on broadcasting and viewing video game content (Adamovich). Twitch has grown rapidly within the last few years asserting its dominance as one of the major forces in the games industry and becoming a multi-billion-dollar industry (Adamovich). For example, according to Descrier, in 2016 there were approximately 292 …


The Impact Of Shigeru Miyamoto On The Game Design Industry, Luan Tran Dec 2020

The Impact Of Shigeru Miyamoto On The Game Design Industry, Luan Tran

ART 108: Introduction to Games Studies

Nintendo started as a small company in the 1970s that sold playing cards. Having seen the exemplary gift in his son, Miyamoto's father arranged for an interview with the president of Nintendo Hiroshi Yamauchi. Consequently, Miyamoto got a position in 1977 as an apprentice in the planning department after showing his toy creations to the president. He became the first Nintendo artist as he helped create the art for the first original coin-operated arcade game. The approach demonstrated his innate abilities that would help him become the ultimate guru in the industry. Through individual discovery, Miyamoto has managed to produce …


Feedback Induced Magnetic Phases In Binary Bose-Einstein Condensates, Hilary M. Hurst, Shangjie Guo, I. B. Spielman Dec 2020

Feedback Induced Magnetic Phases In Binary Bose-Einstein Condensates, Hilary M. Hurst, Shangjie Guo, I. B. Spielman

Faculty Research, Scholarly, and Creative Activity

Weak measurement in tandem with real-time feedback control is a new route toward engineering novel non-equilibrium quantum matter. Here we develop a theoretical toolbox for quantum feedback control of multicomponent Bose-Einstein condensates (BECs) using backaction-limited weak measurements in conjunction with spatially resolved feedback. Feedback in the form of a single-particle potential can introduce effective interactions that enter into the stochastic equation governing system dynamics. The effective interactions are tunable and can be made analogous to Feshbach resonances -- spin-independent and spin-dependent -- but without changing atomic scattering parameters. Feedback cooling prevents runaway heating due to measurement backaction and we present …


The History Of Nintendo: The Company, Consoles And Games, Laurie Takeda Dec 2020

The History Of Nintendo: The Company, Consoles And Games, Laurie Takeda

ART 108: Introduction to Games Studies

From the start, Nintendo has evolved overall as a company; from a playing card manufacturer to developing a wide variety of video game consoles and video games that are played worldwide, they continue to research and expand upon what the company can offer.


Development Of A Statistical Model To Predict Materials’ Unit Prices For Future Maintenance And Rehabilitation In Highway Life Cycle Cost Analysis, Changmo Kim, Ghazan Khan, Brent Nguyen, Emily L. Hoang Dec 2020

Development Of A Statistical Model To Predict Materials’ Unit Prices For Future Maintenance And Rehabilitation In Highway Life Cycle Cost Analysis, Changmo Kim, Ghazan Khan, Brent Nguyen, Emily L. Hoang

Mineta Transportation Institute

The main objectives of this study are to investigate the trends in primary pavement materials’ unit price over time and to develop statistical models and guidelines for using predictive unit prices of pavement materials instead of uniform unit prices in life cycle cost analysis (LCCA) for future maintenance and rehabilitation (M&R) projects. Various socio-economic data were collected for the past 20 years (1997–2018) in California, including oil price, population, government expenditure in transportation, vehicle registration, and other key variables, in order to identify factors affecting pavement materials’ unit price. Additionally, the unit price records of the popular pavement materials were …


Non-Hermitian Topology Of One-Dimensional Spin-Torque Oscillator Arrays, Benedetta Flebus, Rembert A. Duine, Hilary M. Hurst Nov 2020

Non-Hermitian Topology Of One-Dimensional Spin-Torque Oscillator Arrays, Benedetta Flebus, Rembert A. Duine, Hilary M. Hurst

Faculty Research, Scholarly, and Creative Activity

Magnetic systems have been extensively studied both from a fundamental physics perspective and as building blocks for a variety of applications. Their topological properties, in particular those of excitations, remain relatively unexplored due to their inherently dissipative nature. The recent introduction of non-Hermitian topological classifications opens up new opportunities for engineering topological phases in dissipative systems. Here, we propose a magnonic realization of a non-Hermitian topological system. A crucial ingredient of our proposal is the injection of spin current into the magnetic system, which alters and can even change the sign of terms describing dissipation. We show that the magnetic …


Ru(Ii)-Diimine Complexes And Cytochrome P450 Working Hand-In-Hand, Celine Eidenschenk, Lionel Cheruzel Sep 2020

Ru(Ii)-Diimine Complexes And Cytochrome P450 Working Hand-In-Hand, Celine Eidenschenk, Lionel Cheruzel

Faculty Publications, Chemistry

With a growing interest in utilizing visible light to drive biocatalytic processes, several light-harvesting units and approaches have been employed to harness the synthetic potential of heme monooxygenases and carry out selective oxyfunctionalization of a wide range of substrates. While the fields of cytochrome P450 and Ru(II) photochemistry have separately been prolific, it is not until the turn of the 21st century that they converged. Non-covalent and subsequently covalently attached Ru(II) complexes were used to promote rapid intramolecular electron transfer in bacterial P450 enzymes. Photocatalytic activity with Ru(II)-modified P450 enzymes was achieved under reductive conditions with a judicious choice of …


Is The Transit Industry Prepared For The Cyber Revolution? Policy Recommendations To Enhance Surface Transit Cyber Preparedness, Scott Belcher, Terri Belcher, Eric Greenwald, Brandon Thomas Sep 2020

Is The Transit Industry Prepared For The Cyber Revolution? Policy Recommendations To Enhance Surface Transit Cyber Preparedness, Scott Belcher, Terri Belcher, Eric Greenwald, Brandon Thomas

Mineta Transportation Institute

The intent of this study is to assess the readiness, resourcing, and structure of public transit agencies to identify, protect from, detect, respond to, and recover from cybersecurity vulnerabilities and threats. Given the multitude of connected devices already in use by the transit industry and the vast amount of data generated (with more coming online soon), the transit industry is vulnerable to malicious cyber-attack and other cybersecurity-related threats. This study reviews the state of best cybersecurity practices in public surface transit; outlines U.S. public surface transit operators’ cybersecurity operations; assesses U.S. policy on cybersecurity in public surface transportation; and provides …


Analysis Of The Benefits Of Green Streets, Christopher E. Ferrell, John M. Eells, Richard W. Lee, Reyhane Hosseinzade Sep 2020

Analysis Of The Benefits Of Green Streets, Christopher E. Ferrell, John M. Eells, Richard W. Lee, Reyhane Hosseinzade

Mineta Transportation Institute

Green streets offer many potential benefits that include improving water quality, absorbing carbon (sequestration), and reducing urban heat island effects. This report summarizes: (1) the research team’s analysis of 14 tools calculating green streets benefits; and (2) the results of applying the most promising calculators to a select group of green streets case studies. The researchers are affiliated with the Mineta Transportation Institute, which serves the California Department of Transportation (“Caltrans”). The report presents the results of the case study analyses, with an emphasis on carbon sequestration benefits and improvements to pedestrian levels of service (PLOS).

Trees absorb carbon dioxide …


Find Me If You Can: Aligning Users In Different Social Networks, Priyanka Kasbekar, Katerina Potika, Chris Pollett Aug 2020

Find Me If You Can: Aligning Users In Different Social Networks, Priyanka Kasbekar, Katerina Potika, Chris Pollett

Faculty Publications, Computer Science

Online Social Networks allow users to share experiences with friends and relatives, make announcements, find news and jobs, and more. Several have user bases that number in the hundred of millions and even billions. Very often many users belong to multiple social networks at the same time under possibly different user names. Identifying a user from one social network on another social network gives information about a user's behavior on each platform, which in turn can help companies perform graph mining tasks, such as community detection and link prediction. The process of identifying or aligning users in multiple networks is …


Relative Impacts Of Different Grade Scales On Student Success In Introductory Physics, David J. Webb, Cassandra A. Paul, Mary A. Chessey Aug 2020

Relative Impacts Of Different Grade Scales On Student Success In Introductory Physics, David J. Webb, Cassandra A. Paul, Mary A. Chessey

Faculty Publications

In deciding on a student’s grade in a class, an instructor generally needs to combine many individual grading judgments into one overall judgment. Two relatively common numerical scales used to specify individual grades are the 4-point scale (where each whole number 0–4 corresponds to a letter grade) and the percent scale (where letter grades A through D are uniformly distributed in the top 40% of the scale). This paper uses grading data from a single series of courses offered over a period of 10 years to show that the grade distributions emerging from these two grade scales differed in many …


Small Gaps Between Almost Primes, The Parity Problem, And Some Conjectures Of Erdős On Consecutive Integers Ii, Daniel A. Goldston, Sidney W. Graham, Apoorva Panidapu, Janos Pintz, Jordan Schettler, Cem Y. Yıldırım Jul 2020

Small Gaps Between Almost Primes, The Parity Problem, And Some Conjectures Of Erdős On Consecutive Integers Ii, Daniel A. Goldston, Sidney W. Graham, Apoorva Panidapu, Janos Pintz, Jordan Schettler, Cem Y. Yıldırım

Faculty Publications

We show that for any positive integer n, there is some fixed A such that d(x) = d(x +n) = A infinitely often where d(x) denotes the number of divisors of x. In fact, we establish the stronger result that both x and x +n have the same fixed exponent pattern for infinitely many x. Here the exponent pattern of an integer x > 1is the multiset of nonzero exponents which appear in the prime factorization of x.