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Using Materialized Views For Answering Graph Pattern Queries, Michael Lan
Using Materialized Views For Answering Graph Pattern Queries, Michael Lan
Dissertations
Discovering patterns in graphs by evaluating graph pattern queries involving direct (edge-to-edge mapping) and reachability (edge-to-path mapping) relationships under homomorphisms on data graphs has been extensively studied. Previous studies have aimed to reduce the evaluation time of graph pattern queries due to the potentially numerous matches on large data graphs.
In this work, the concept of the summary graph is developed to improve the evaluation of tree pattern queries and graph pattern queries. The summary graph first filters out candidate matches which violate certain reachability constraints, and then finds local matches of query edges. This reduces redundancy in the representation …
Android Security: Analysis And Applications, Raina Samuel
Android Security: Analysis And Applications, Raina Samuel
Dissertations
The Android mobile system is home to millions of apps that offer a wide range of functionalities. Users rely on Android apps in various facets of daily life, including critical, e.g., medical, settings. Generally, users trust that apps perform their stated purpose safely and accurately. However, despite the platform’s efforts to maintain a safe environment, apps routinely manage to evade scrutiny. This dissertation analyzes Android app behavior and has revealed several weakness: lapses in device authentication schemes, deceptive practices such as apps covering their traces, as well as behavioral and descriptive inaccuracies in medical apps. Examining a large corpus of …
Carrier Transport Engineering In Wide Bandgap Semiconductors For Photonic And Memory Device Applications, Ravi Teja Velpula
Carrier Transport Engineering In Wide Bandgap Semiconductors For Photonic And Memory Device Applications, Ravi Teja Velpula
Dissertations
Wide bandgap (WBG) semiconductors play a crucial role in the current solid-state lighting technology. The AlGaN compound semiconductor is widely used for ultraviolet (UV) light-emitting diodes (LEDs), however, the efficiency of these LEDs is largely in a single-digit percentage range due to several factors. Until recently, AlInN alloy has been relatively unexplored, though it holds potential for light-emitters operating in the visible and UV regions. In this dissertation, the first axial AlInN core-shell nanowire UV LEDs operating in the UV-A and UV-B regions with an internal quantum efficiency (IQE) of 52% are demonstrated. Moreover, the light extraction efficiency of this …
Improving The Stimulation Selectivity In The Human Cochlea By Strategic Selection Of The Current Return Electrode, Ozan Cakmak
Improving The Stimulation Selectivity In The Human Cochlea By Strategic Selection Of The Current Return Electrode, Ozan Cakmak
Dissertations
The hearing quality provided by cochlear implants are poorly predicted by computer simulations. A realistic cochlear anatomy is crucial for the accuracy of predictions. In this study, the standard multipolar stimulation paradigms are revisited and Rattay’s Activating Function is evaluated in a finite element model of a realistic cochlear geometry that is based on µ-CT images and a commercial lead. The stimulation thresholds across the cochlear fibers were investigated for monopolar, bipolar, tripolar, and a novel (distant) bipolar electrode configuration using an active compartmental nerve model based on Schwartz-Eikhof-Frijns membrane dynamics. The results suggest that skipping of the stimulation point …
Photonic Monitoring Of Atmospheric Fauna, Adrien P. Genoud
Photonic Monitoring Of Atmospheric Fauna, Adrien P. Genoud
Dissertations
Insects play a quintessential role in the Earth’s ecosystems and their recent decline in abundance and diversity is alarming. Monitoring their population is paramount to understand the causes of their decline, as well as to guide and evaluate the efficiency of conservation policies. Monitoring populations of flying insects is generally done using physical traps, but this method requires long and expensive laboratory analysis where each insect must be identified by qualified personnel. Lack of reliable data on insect populations is now considered a significant issue in the field of entomology, often referred to as a “data crisis” in the field. …
Twitter Sentiment Analysis: Applications In Healthcare And Finance, Jiali Wang
Twitter Sentiment Analysis: Applications In Healthcare And Finance, Jiali Wang
Dissertations
This research explores the influence of Twitter sentiment on healthcare and finance industries. It assesses how Twitter sentiment and culture measure influence COVID-19 statistics, and it investigates the impact of Twitter sentiment on S&P 1500 stock mispricing. Furthermore, it examines how tweet sentiment predicts major industry returns.
The first part examines how Hofstede’s Culture Dimensions (HCD) and Twitter economic uncertainty index (TEU) relate to COVID-19 infection rate and death rate. The results show certain aspects in HCD, such as power distance index (PDI) and masculinity (MAS) both are negatively and significantly associated with the infection rate, while indulgence (IVR) and …
Integrated Machine Learning And Optimization Approaches, Dogacan Yilmaz
Integrated Machine Learning And Optimization Approaches, Dogacan Yilmaz
Dissertations
This dissertation focuses on the integration of machine learning and optimization. Specifically, novel machine learning-based frameworks are proposed to help solve a broad range of well-known operations research problems to reduce the solution times. The first study presents a bidirectional Long Short-Term Memory framework to learn optimal solutions to sequential decision-making problems. Computational results show that the framework significantly reduces the solution time of benchmark capacitated lot-sizing problems without much loss in feasibility and optimality. Also, models trained using shorter planning horizons can successfully predict the optimal solution of the instances with longer planning horizons. For the hardest data set, …
Helioseismic Diagnostics Of Active Regions And Their Magnetic Fields, John T. Stefan
Helioseismic Diagnostics Of Active Regions And Their Magnetic Fields, John T. Stefan
Dissertations
While two and a half decades of nearly constant observation by the Solar and Heliospheric Observatory (SOHO) and the Solar Dynamics Observatory (SDO) spacecraft have yielded key insights into the structure and dynamics of active regions, it is still unclear if active regions can be identified before emerging on the solar surface and, once emerged, whether the subsurface structure of an active region’s magnetic field can be measured. Regarding the dynamical processes associated with active regions, the height and mechanism of sunquake excitation remains poorly understood. To answer these questions, a comprehensive survey of active region magnetic fields and their …
Hydrodynamic Investigation Of The Discharge Of Complex Fluids From Dispensing Bottles Using Experimental And Computational Approaches, Baran Teoman
Dissertations
The discharge of non-Newtonian, complex fluids through orifices of industrial tanks, pipes, dispensers, or packaging containers is a ubiquitous but often problematic process because of the complex rheology of such fluids and the geometry of the containers. This, in turn, reduces the discharge rate and results in residual fluid left in the container, often referred to as heel. Heel formation is undesired in general, since it causes loss of valuable material, container fouling, and cross-contamination between batches. Heel may be of significant concern not only in industrial vessels but also in consumer packaging. Despite its relevance, the research in this …
Interactions Of Amyloid Peptides With Lipid Membranes, Yanxing Yang
Interactions Of Amyloid Peptides With Lipid Membranes, Yanxing Yang
Dissertations
The aggregation of amyloid proteins into fibrils is a hallmark of several diseases including Alzheimer’s (AD), Parkinson’s, and Type II diabetes. This aggregation process involves the formation of small size oligomers preceding the formation of insoluble fibrils. Recent studies have shown that these oligomers are more likely to be responsible for cell toxicity than fibrils. A possible mechanism of toxicity involves the interaction of oligomers with the cell membrane compromising its integrity. In particular, oligomers may form pore-like structures in the cell membrane affecting its permeability or they may induce lipid loss via a detergent-like effect. This dissertation aims to …
Development Of Web-Based Project Tender Documents Application Using Extreme Programming Methods, Mustari Lamada, Aminuddin Bakry, Aulyah Zakilah Ifani, Khaerunnisa Khaerunnisa
Development Of Web-Based Project Tender Documents Application Using Extreme Programming Methods, Mustari Lamada, Aminuddin Bakry, Aulyah Zakilah Ifani, Khaerunnisa Khaerunnisa
Elinvo (Electronics, Informatics, and Vocational Education)
The application of technology is a need that is in demand in the industrial world today, especially in the field of contractors of goods and services that have implemented the use of applications to help the process of managing data and project documents in their companies. This study aims to optimize the web-based project tender document system using the extreme programming method. The extreme programming method consists of planning, design, coding, testing, and software increment. Research methods using extreme programming methods consisting of planning, design, coding, testing, and software increment. The planning stages obtain results in the form of functional …
Metacognitive Skills Of Student In Solving Problems Of Two-Variable Linear Equation Systems In Terms Of Self-Regulated Learning, Erlina Zulva Rahmawati, Nining Setyaningsih
Metacognitive Skills Of Student In Solving Problems Of Two-Variable Linear Equation Systems In Terms Of Self-Regulated Learning, Erlina Zulva Rahmawati, Nining Setyaningsih
Jurnal Riset Pendidikan Matematika
It is empirically known that metacognitive skill contributes to self-regulated learning. This study aims to describe students' metacognitive skills in three levels of self-regulated learning, particularly in solving problems of a two-variable linear equation system. Three indicators were used in metacognition skills, namely planning indicators, monitoring indicators, and evaluation indicators. Employing a descriptive qualitative approach, this study involved All students of grade VIII A of the academic year 2021/2022 from a state junior school as subjects involving each category for high, medium, and low self-regulated learning. The data were collected using questionnaires, tests, interviews, documentation, and observation. A triangulation method, …
Does The Policy Regarding The Role Of The National Examination In Determining Graduation Affect Student Achievement?, Rasmuin Rasmuin
Does The Policy Regarding The Role Of The National Examination In Determining Graduation Affect Student Achievement?, Rasmuin Rasmuin
Jurnal Penelitian dan Evaluasi Pendidikan
From 2004 to 2018, the national examination (NE) has undergone three policy changes regarding its role in determining graduation. The NE score was decided to be the sole determining factor for student graduation in the period 2004 to 2010, with the school examination score being the determinant of student graduation from 2011 to 2015 and no longer a determinant of student graduation from 2016 to 2018 period. This study aimed to analyze the pattern of influence of the NE policy as a determinant of graduation on student achievement at junior, senior, and vocational high schools. This study used data on …
The Quality Of Indonesian Teachers In The Digital Era: A Meta-Analysis, Eko Wahyunanto Prihono, Heri Retnawati, Fitria Lapele, Wisnu Budi Waluyo
The Quality Of Indonesian Teachers In The Digital Era: A Meta-Analysis, Eko Wahyunanto Prihono, Heri Retnawati, Fitria Lapele, Wisnu Budi Waluyo
Jurnal Penelitian dan Evaluasi Pendidikan
The objective of the study is to determine the influence of determinant factors on teacher quality in Indonesia in the digital era in kindergarten, elementary, junior high, and high school units. It was a quantitative research with a correlation meta-analysis approach. The data was secondary data collected from various research results in Indonesia on the scholar.google.com page. The results of the study were published from 2012 to 2022. Data analysis used JASP software to estimate aggregates, draw plot Forrest, and publication bias. The aggregates were estimated through correlation scores with fixed effect models. The results showed that the funnel plot …
Determinant Factors Of Mathematics Achievement In Online Learning During The Covid-19 Pandemic, Anwaril Hamidy, Kee-Fui Turner Lam
Determinant Factors Of Mathematics Achievement In Online Learning During The Covid-19 Pandemic, Anwaril Hamidy, Kee-Fui Turner Lam
Jurnal Riset Pendidikan Matematika
Online learning has become more popular during the Covid-19 pandemic, including in mathematics. However, many educators have raised concerns whether there are critical factors determining the mathematics achievement during online learning. This study examines online learning readiness (OLR), math anxiety (MA), online platforms used in learning (Zoom Meeting and Google Classroom) and gender as determinants of mathematics achievement students in online learning. The participants in this study were 197 students of a private university in Samarinda, Indonesia. Online learning readiness and math anxiety were gathered by means of questionnaires. The questionnaires were deemed valid (> 0.500) and reliable (OLR = …
Development Of Trigonometry Module Based On Pbl That Oriented To High School Students' Concept Of Understanding, Ahmad Bazuri, Elly Arliani
Development Of Trigonometry Module Based On Pbl That Oriented To High School Students' Concept Of Understanding, Ahmad Bazuri, Elly Arliani
Jurnal Riset Pendidikan Matematika
This study aims to produce a problem-based learning module on trigonometry oriented towards the ability to understand concepts for grade X high school students and to describe the quality of the validity, practicality, and effectiveness of the module. This is a research and development with the ADDIE model, which includes five stages: analysis, design, development, implementation, and evaluation. The implementation of product development was conducted at the State Senior High School 1 Magelang, involving 36 students from class X MIPA 2. This research resulted in a trigonometry module based on problem-based learning syntax. The module is declared valid with an …
Analysis Of Critical Thinking And Communication Skills In Geometric Transformation Problem Solving Using Transgeo Application, Malika Kautsar Ilmi, Mohammad Syaifuddin, Reni Dwi Susanti, Siti Khoiruli Ummah
Analysis Of Critical Thinking And Communication Skills In Geometric Transformation Problem Solving Using Transgeo Application, Malika Kautsar Ilmi, Mohammad Syaifuddin, Reni Dwi Susanti, Siti Khoiruli Ummah
Jurnal Riset Pendidikan Matematika
The research aims to analyze narratively critical thinking and communication skills using the Android-based TransGeo application on geometry transformation in junior high school. This study uses a qualitative with a descriptive method obtained from tests and interviews. The test contains contextual problems in the android application, while the interviews are based on student test answers. Then, test results are adjusted descriptively by presenting the achievement of each student to be categorized based on critical thinking and communication scoring. Next, one student was randomly selected from each category as the interview subject. The indicator of critical thinking skills is the most …
Meta-Analysis: The Effect Of Discovery Learning Models On Students' Mathematical Ability, Khairunnisa Khairunnisa, Dadang Juandi
Meta-Analysis: The Effect Of Discovery Learning Models On Students' Mathematical Ability, Khairunnisa Khairunnisa, Dadang Juandi
Jurnal Riset Pendidikan Matematika
This research aims to determine the magnitude of the influence of the discovery learning model on students' mathematical abilities. These included problem-solving skills, critical thinking, understanding, and mathematical reasoning. This study employs a quantitative approach with a Meta-Analysis method. Data collected was from experimental research connected to the application of discovery learning models to the mathematical abilities of elementary, junior high school, and high school students in papers indexed from 2012 to 2021. From the search and study selection results, 48 articles were obtained. The findings found an annual increase in the number of publications, most of which were on …
An Exploration Of Ethnomathematics At Sewu Temple In Yogyakarta, Dina Sulistyowati, Rita Pramujiyanti Khotimah
An Exploration Of Ethnomathematics At Sewu Temple In Yogyakarta, Dina Sulistyowati, Rita Pramujiyanti Khotimah
Jurnal Riset Pendidikan Matematika
This study explores the elements of mathematics (geometry and arithmetic) in Sewu Temple. As the research is qualitatively discussed, ethnographic design is appropriately implemented with observation, interviews, and documentation for collecting data. The data analysis technique shares four steps; collecting, reducing, presenting, and drawing a conclusion"”the validity of the data using triangulation techniques. The results of this study indicate that there are mathematical elements in the shape of the building and the reliefs of Sewu Temple; flat shapes, spatial shapes, geometric transformations, and arithmetic sequences. The existing flat forms include; squares, rectangles, isosceles trapezoids, right trapezoids, circles, triangles, and octagons. …
Development Of Learning Tools Based On Realistic Mathematics Approach That Oriented To High School Students' Mathematical Generalization Ability, Silfia Hayuningrat, Raden Rosnawati
Development Of Learning Tools Based On Realistic Mathematics Approach That Oriented To High School Students' Mathematical Generalization Ability, Silfia Hayuningrat, Raden Rosnawati
Jurnal Riset Pendidikan Matematika
Generalization ability need to be encouraged in learning mathematics, students with generalization abilities can expand and transfer knowledge to practical knowledge. This research aims to develop learning material based on realistic mathematisc approach that oriented to generalization ability. The learning materials'developed is lesson plans and student worksheets. This is research and development with an ADDIE model. The instruments used in this study were the evaluation sheets, response questionnaire for teachers and students and tests of mathematical generalization ability. The data analysis technique used was descriptive qualitative and quantitative. The design of the learning materials focuses on aspects of the mathematical …
Meta Analysis Study: Effectiveness Of Problem Based Learning On Indonesian Students' Mathematical Reasoning Ability, Ihda Mutimmatul Fitriyah, Nur Hidayanto Pancoro Setyo Putro, Ezi Apino
Meta Analysis Study: Effectiveness Of Problem Based Learning On Indonesian Students' Mathematical Reasoning Ability, Ihda Mutimmatul Fitriyah, Nur Hidayanto Pancoro Setyo Putro, Ezi Apino
Jurnal Riset Pendidikan Matematika
Problem-Based Learning has been studied over three decades in various subjects and schools, This meta-analysis study aimed to synthesize the most recent findings of the effect of Problem-Based Learning (PBL), specifically on students' mathematical reasoning ability. The data were obtained from relevant primary studies published in national and international journals or proceedings during 2014-2021. Ten effect sizes from eight studies that fulfilled the inclusion criteria were analyzed using a systematic review and meta-analysis. JASP 0.15.0.0 software was used to measure the formula of Hedges g to determine the effect size. The result showed that PBL has a strong effect on …
Master (Motivating, Acquiring, Searching, Triggering, Exhibiting, Reflecting) Learning Model In Terms Of Literacy Ability And Students' Mathematics Learning Motivation, Muhamad Sabirin, Akbar Hidayatullah, Rinda Azmi Saputri, Muh. Fajaruddin Atsnan, Maisea Ledua Nareki
Master (Motivating, Acquiring, Searching, Triggering, Exhibiting, Reflecting) Learning Model In Terms Of Literacy Ability And Students' Mathematics Learning Motivation, Muhamad Sabirin, Akbar Hidayatullah, Rinda Azmi Saputri, Muh. Fajaruddin Atsnan, Maisea Ledua Nareki
Jurnal Riset Pendidikan Matematika
It is argued that mathematical literacy skills might be improved when learning motivation is high. This study aims to examine the difference in mathematical literacy skills between students who joined a learning model that stimulate motivation, the MASTER learning model (Motivating, Acquiring, Searching, Triggering, Exhibiting, and Reflecting) and those who attended conventional learning in terms of high, medium, and low learning motivation. This is a quasi-experimental study with a population of all seventh-grade students of an Islamic Junior School in South Kalimantan, Indonesia. The sample was selected using the purposive sampling technique with group VII A as the experimental class …
Problem-Based Learning And Case-Based Learning: Which Is More Effective For Fostering Mathematical Connection?, Erlinda Rahma Dewi, Arifta Nurjanah
Problem-Based Learning And Case-Based Learning: Which Is More Effective For Fostering Mathematical Connection?, Erlinda Rahma Dewi, Arifta Nurjanah
Jurnal Riset Pendidikan Matematika
Problem-Based Learning (PBL) and Case-Based Learning (CBL) are two typical learning approaches that involve problem-solving activities, likely to encourage students' mathematical connection abilities. This study aimed to describe the differences in mathematical connection ability between students studying with the PBL and those who used the CBL approach. A quasi-experiment with a pretest-post-test non-equivalent group design was conducted for the purpose. The data collection method was non-routine problems about mathematical connections. The data was analyzed using inferential statistics. Paired sample t-tests adopted were to examine the difference between pretest and post-test data in each experimental class, and independent sample t-tests were …
Improvement Of Student Attendance System For Recording Student Surface Body Temperature Based On Internet Of Things, Mas Aly Afandi, I Ketut Agung Enriko, Muhammad Aulia Baihaqy
Improvement Of Student Attendance System For Recording Student Surface Body Temperature Based On Internet Of Things, Mas Aly Afandi, I Ketut Agung Enriko, Muhammad Aulia Baihaqy
Elinvo (Electronics, Informatics, and Vocational Education)
Student attendance is a system used for tracking student activity in school. Many methods are used to develop student attendance systems, such as Quick Response (QR) Code systems, Radio Frequency Identification (RFID) systems, fingerprint systems, and so on. The COVID-19 pandemic has driven technological development, especially in the student attendance system. Measuring human surface body temperature has become a protocol that must be done before entering school. Student attendance systems need to expand the function not only for attendance but also for monitoring student surface body temperature. This research aims to improve student attendance systems by adding surface body temperature …
From Safety To Source Domination And Diversity Content: Media Challenges In The Pandemic Era, Erwin Kartinawati
From Safety To Source Domination And Diversity Content: Media Challenges In The Pandemic Era, Erwin Kartinawati
Informasi
All sectors of human life have been affected by the Covid-19 virus, including the media industry. There have been many changes in the media organization. The patterns that have become standard have completely changed due to the pandemic. The media face many challenges because of that. Those are the risk to the safety of workers, the loss of several types of jobs, the dominance of information sources, and threats to the diversity of information that the public can receive. Those were the results of this study. That results were obtained by a research process carried out from May to mid-December …
Improving Mathematical Critical Thinking Ability Through Realistic Mathematics Learning In Jhs Students, Sri Sutarni, Rustiwi Gatiniggsih
Improving Mathematical Critical Thinking Ability Through Realistic Mathematics Learning In Jhs Students, Sri Sutarni, Rustiwi Gatiniggsih
Jurnal Riset Pendidikan Matematika
Critical thinking is a structured way of thinking in making decisions and solving problems. Because the critical thinking ability in junior high school students is low, realistic mathematics learning is considered to be able to improve students' critical thinking ability. The purpose of the research in this article is to describe the improvement of mathematical critical thinking ability through realistic mathematics learning reviewed from indicators and the averages increase each cycle. This type of research is Class Action Research that is carried out in 2 cycle. The research subjects consisted of mathematics teachers and 16 students of class VIII Muhammadiyah …
Algoritme Migrating Birds Optimization Dan Algoritme Particle Swarm Optimization: Penyelesaian Masalah Knapsack 0-1, Bib Paruhum Silalahi, Mohamad Novanto, Prapto Tri Supriyo
Algoritme Migrating Birds Optimization Dan Algoritme Particle Swarm Optimization: Penyelesaian Masalah Knapsack 0-1, Bib Paruhum Silalahi, Mohamad Novanto, Prapto Tri Supriyo
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Permasalahan knapsack merupakan salah satu masalah optimisasi. Masalah knapsack merupakan suatu permasalahan bagaimana memilih objek dari beberapa objek yang akan dimasukkan ke media penyimpanan dengan masing-masing objek memiliki bobot dan total bobot dari objek yang dipilih tidak boleh melebihi kapasitas media penyimpanannya, sehingga diperoleh nilai yang maksimal. Ketika objek yang dimasukkan ke dalam media penyimpanan bersifat harus dimasukkan semua atau tidak sama sekali, permasalahan ini dikenal dengan nama knapsack 0-1. Salah satu metode penyelesaian masalah knapsack 0-1 adalah dengan menggunakan metode meta-heuristic. Terdapat beberapa metode meta-heuristic seperti algoritma migrating birds optimization dan particle swarm optimization. Paper ini membahas …
Model Identifikasi Singkong Berdasarkan Warna Untuk Tepung Mocaf Berbasis Citra Digital, Sri Andayani, Ega Noviastuti
Model Identifikasi Singkong Berdasarkan Warna Untuk Tepung Mocaf Berbasis Citra Digital, Sri Andayani, Ega Noviastuti
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Penelitian ini bertujuan menghasilkan model untuk mengidentifikasi mutu singkong berdasarkan warna sebagai bahan pembuatan tepung mocaf dengan berbasis citra digital. Metode yang digunakan meliputi beberapa tahap pengolahan citra digital antara lain preprocessing dan ekstraksi ciri. Preprocessing meliputi cropping, resizing, dan grayscaling, sedangkan ekstraksi ciri meliputi segmentasi threshold dan binerisasi. Data penelitian menggunakan 118 citra singkong yang dibagi menjadi 72 citra data latih dan 46 data uji. Hasil penelitian berupa model identifikasi yang mendasarkan pada dua hal berikut: a) menggunakan ekstraksi ciri yang meliputi segmentasi threshold dengan nilai ambang 170 dan binerisasi dengan nilai ambang 75; dan b) penentuan mutu singkong …
Struktur Aljabar Koszul Pada Aljabar Lie M_(3,1) (R)‹Šã"–Glã"—_3 (R), Nur Hafizhah, Edi Kurniadi, Ema Carnia
Struktur Aljabar Koszul Pada Aljabar Lie M_(3,1) (R)‹Šã"–Glã"—_3 (R), Nur Hafizhah, Edi Kurniadi, Ema Carnia
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Dalam penelitian ini dipelajari aljabar Lie affine aff(3) berdimensi 12 yang merupakan jumlah semi langsung dari ruang vektor matriks berukuran 3x1 dan aljabar Lie matriks berukuran 3x3 . Tujuan penelitian ini adalah untuk membuktikan eksistensi dan struktur aljabar koszul pada aljabar Lie aff(3). Aljabar Lie tersebut adalah aljabar Lie Frobenius. Oleh karena itu, terdapat suatu fungsional linear yang mengakibatkan nilai fungsional linear pada matriks strukturnya tidak sama dengan nol. Fungsional linear yang demikian ini disebut fungsional Frobenius. Dalam penelitian ini diberikan juga bagaimana mendapatkan matriks struktur, menghitung determinannya serta memilih fungsional Frobenius yang tepat. Hasil yang diperoleh dalam penelitian ini …
Tinjauan Matematis Waktu Tundaan Pada Model Covid-19 Dengan Vaksinansi, Fitriana Yuli Saptaningtyas, Ahmadi Ahmadi
Tinjauan Matematis Waktu Tundaan Pada Model Covid-19 Dengan Vaksinansi, Fitriana Yuli Saptaningtyas, Ahmadi Ahmadi
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Article ini membahas pemodelan matematika penyebaran Covid-19 dengan vaksinasi yang melibatkan waktu tundaan. Waktu tundaan merepresentasikan waktu individu mengalami penurunan kekebalan tubuh sehingga kembali rentan terhadap Covid-19 setelah sembuh. Kita tahu bahwa individu yang dinyatakan sembuh dari Covid-19 dapat terinfeksi kembali. Penelitian ini menganalisa titik ekuilibirum beserta kestabilannya, menentukan bilangan reproduksi dasar untuk melihat penyebaran penyakit, menentukan jenis bifurkasi yang muncul yang diakibatkan oleh waktu tundaan, dan melakukan simulasi numerik untuk melihat perilaku penyebaran penyakit. Di samping itu juga dilakukan kajian analitik untuk menentukan bilangan reproduksi dasar dan analisa perbandingan kestabilan lokal untuk model tanpa waktu tundaan dan dengan waktu …