UNY Journal Collections (Universitas Negeri Yogyakarta)
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Struktur Aljabar Koszul pada Aljabar Lie M_(3,1) (R)‹Šã –glã —_3 (R)
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 adalah rumus eksplisit struktur aljabar koszul pada aljabar Lie affine berdimensi 12 melalui induksi pada bentuk simplektik dari fungsional Frobeniusnya. Sebagai bahan diskusi untuk penelitian selanjutnya, hasil yang diperoleh dapat dikembangkan untuk menentukan struktur aljabar koszul pada aljabar Lie affine berdimensi n(n+1).
Structure of Koszul Algebra in Lie Algebra M_(3,1) (R)‹Šã –glã —_3 (R)
Abstract
In this research, we study the affine Lie algebra aff(3) of 12 dimension which is the semi-direct sum of the vector space of a matrix of 3x1 and Lie algebra of a matrix of 3x3. The research aims to prove the existence and structure of koszul algebras on the affine Lie algebra aff(3) . Since its Lie algebra is Frobenius then there exists a linear functional whose values in the matrix structure are not equal to zero. Such a linear functional is called a Frobenius functional. Furthermore, in this study, it is also given how to obtain the structure matrix, to calculate its determinants, and to choose the right Frobenius functional. The results obtained in this study are explicit formulas for the structure of the koszul algebra on 12-dimensional Lie affine algebra through induction in the symplectic form of its Frobenius functional. As a discussion material for further research, the results obtained can be developed to determine the structure of koszul algebra in affine Lie algebra of dimension n(n+1)
Klasifikasi Kematangan Manggis Berdasarkan Fitur Warna dan Tekstur Menggunakan Algoritma Naive Bayes
Manggis merupakan salah satu komoditas buah asli Indonesia yang memiliki prospek pasar yang menjanjikan, terlebih dalam pasar ekspor. Namun masih ada permasalahan dalam hal penyortiran buah hasil panen. Buah manggis hasil panen disortir berdasarkan kematangan buahnya untuk tujuan pasar yaitu pasar ekspor dan pasar domestik. Faktor penentu kematangan buah manggis adalah warna dan tekstur dari kulit buahnya. Penelitian ini bertujuan untuk mengklasifikasi kematangan buah manggis berdasarkan warna dan tekstur menggunakan algoritma Naive Bayes. Fitur warna dan tekstur yang diekstraksi adalah kontras, korelasi, energi, homogenitas, entropi, standar deviasi, mean, varians, skewness, dan kurtosis. Fitur diekstraksi dari citra RGB, citra grayscale, citra HSV, dan citra CIELAB. Hasil ekstraksi fitur melewati tahap seleksi fitur menggunakan algoritma Minimum Redundancy Maximum Relevance (MRMR). Metode klasifikasi yang digunakan adalah metode Naive Bayes. Model klasifikasi Naive Bayes menggunakan parameter sebanyak 13 fitur dalam pembangunan modelnya yaitu mean R, mean G, standar deviasi G, mean Saturation, mean Hue, standar deviasi Hue, standar deviasi Value, mean a*, mean b*, standar deviasi a*, standar deviasi b*, varians a*, dan kontras. Hasil klasifikasi kematangan buah manggis menggunakan algoritma Naive Bayes memperoleh tingkat akurasi sebesar 95,7% dengan sensitivitas, spesifisitas, dan presisi untuk kelas matang sebesar 93,3%, 96,8%, dan 93,3%. Sensitivitas, spesifisitas, dan presisi untuk kelas mentah masing-masing sebesar 100%. Sensitivitas, dan presisi untuk kelas setengah matang sebesar 93,3%, 96,9%, dan 93,3%
Model Pembelajaran DMR Berorientasi Masalah Kontekstual dan Kemampuan Komunikasi Matematis Siswa
Penelitian ini merupakan penelitian eksperimen semu dengan post-test only group design yang memiliki tujuan untuk mengetahui pengaruh model pembelajaran Diskursus Multi Representasi (DMR) berorientasi masalah kontekstual terhadap kemampuan komunikasi matematis siswa. Populasi penelitian ini adalah seluruh siswa kelas VIII SMP Negeri 2 Manggis semester genap tahun ajaran 2021/2022. Sampel ditentukan dengan teknik cluster random sampling dan melalui pengundian, terpilih kelas VIII A sebanyak 31 siswa sebagai kelas eksperimen dan kelas VIII B sebanyak 31 siswa sebagai kelas kontrol. Instrumen penelitian berupa tes uraian dengan koefisien validitas dan reliabilitas, yaitu 1,00 dan 0,772. Data skor kemampuan komunikasi matematis siswa dianalisis dengan statistik uji-t (one-tailed independent samples t-test) pada taraf signifikansi 5% dan diperoleh bahwa kemampuan komunikasi matematis siswa yang dibelajarkan dengan model pembelajaran DMR berorientasi masalah kontekstual lebih baik daripada kemampuan komunikasi matematis siswa yang dibelajarkan dengan model pembelajaran konvensional (t hitung \u3e t tabel, (2,282\u3e1,671)). Jadi, dapat disimpulkan bahwa penerapan model pembelajaran DMR berorientasi masalah kontekstual memberikan pengaruh positif yang signifikan terhadap kemampuan komunikasi matematis siswa
Analysis of the debate on the concept of the state and citizens in the BPUPK meeting treatise
In the learning of Pancasila and Civic Education, discussions about BPUPK are often attached to the debates about the formulation of Pancasila as the national principle. In fact, the debates in the BPUPK meeting did not only concern to the national principle, but also about the concept of the state and the citizen. This research aims to analyze how the debate over the concept of the state and citizen is in the treatise of the BPUPK meeting. This research used a qualitative approach with library research methods and qualitative data analysis techniques. The results of this research showed that the debate on the concept of the state was divided into two, namely the debate in the form of the state which is faced with the form of a unitary state, union state and state union, and the debate in the form of government which was faced with the monarchy and republic. Furthermore, the debate about citizens was also divided into two, namely the debate on citizenship for foreign descendants which debates whether or not to make foreign descendants as Indonesian citizens in the Constitution, and the debate on the rights of citizens that debates whether to include or not, the rights of citizens in the Constitution
The narration of religion on television, reconstruction of meaning and diversity
This paper aims to construct the diversity reality of the society that has been presented in the media reality of television. Television presents symbols that need to be interpreted critically. When humans perform critical interpretation consciously, the meaning of diversity will be comprehensively grasped. On the contrary, when television shows cannot be interpreted in a mature frame of mind, it will become a serious problem for society. One of the serious issues deals with the abundant religious shows in the month of Ramadan. Religious television programs are part of religion commodification. Religion became a cheap trade. Ironically, many people enjoyed the show and served it as a guide. In fact, what is shown on television has largely blinded the reality of humanity and distanced human beings from civilization
The end of print media?
The publication end of print media certainly remains some serious problems. First, the termination of employment for media workers. The layoff may target the workers who operate machines and or workers at the circulation section. The publication end of Republika print media has caused more than 200 people out of work. Of course, this is not a small number. In fact, the laid-off workers should hold and fulfill their family life needs. This means that there will be an extraordinary upheaval for media workers when the print newspaper edition closes. Second, the end of newspaper print editions causes many newspaper peddlers/sellers to be unemployed. This is a very sorry situation as they belong to low-income people who must lose their job. Their income is highly dependent on how many copies of the newspaper are sold. The sales of print newspapers are not profitable. When fewer print newspapers are in circulation and the people purchasing power is small, the more painful the life of newspaper sellers will be
Development of Adaptive MOOCs to Support Personalized Learning: Mixed Method Analysis
This study aims to explain the development of adaptive MOOCs that support personalized learning. This study was designed with a mixed method design of sequential explanatory type at the association level. Quantitative analysis used confirmatory factor analysis (CFA) (n = 110) and was deepened with qualitative analysis of the Miles and Huberman model. Quantitatively measured domains include accessibility, learning curriculum, competence, motivation, satisfaction, efficacy, and self-study. The domain was used as a reference for qualitative data mining through focus group discussions (FGD) involving lecturers and doctoral students (n = 25). The analysis results show that the curriculum domain and one of the motivational indicators should be removed because it did not meet the requirements after bootstrapping. The second running algorithm showed all valid and reliable variables. Some domains that significantly affect MOOC user satisfaction are efficacy, competence, and motivation. R square results showed 37% influenced by motivation, accessibility, efficacy, and self-study, and the rest influenced by other variables. In the qualitative analysis, 19 subcodes were found that were included in the three main codes. In conclusion, there is new information in the accessibility domain that expands quantitative data, including information on MOOCs, marketing traps, regulation, and dropouts. Meanwhile, what strengthens and deepens quantitative data is found in the information on metacognitive and personalized coding that strengthens the domain of efficiency, the domain of competence, which is strengthened by content, mentoring collaboration, and motivation reinforced by coding the user\u27s motivations and goals
An enigma of a country human dignity and utopic society
This paper to provide an explanation of the ideology that fights for human dignity and the formation of an imaginary or utopian society. The ideology adopted is the political ideology of anarchism and liberalism which both fight for equal rights and freedom. The two ideologies do have different histories or intricacies, but in this paper they will become a tool for human beings living in a country to maintain their dignity as owners of the right to life. And also the formation of an ideal that is often referred to as a utopia or an imaginary society in the midst of the development of increasingly advanced science and technology. The state is an enigma or a mystery. One of the mysteries is human dignity and utopian society which will be raised in this pape
Strengthening students\u27 character through TPACK-based learning
This study aims to describe strengthening students\u27 character through TPACK-based learning. It\u27s implemented in Pancasila and Civics Education teaching and learning process at SMA Negeri 1 Palembang, one of favorite high school in Palembang city. Although this school has been recognized as a superior school and is the oldest public high school in the city of Palembang, but this school is still focused on students\u27 character. The data collection used in this study were observation, questionnaire, and documentation. It\u27s implemented by applying TPACK-based learning with teaching materials which was held four times. Data were analyzed by comparing the results of observations before and after learning. Based on the result and discussion, it can be concluded that strengthening students\u27 character can be improved through the application of TPACK-based learning. The TPACK-based learning includes the teacher\u27s ability to design and applied technology (a learning video developed, power point media, values cases), pedagogy (models of teaching, teaching approaches, teaching strategy and methods), and content knowledge that integrates characters, namely religious values, nationalism, independence, integrity, and cooperation the course values relevant to the learning objectives and indicators of basic competencies so that it makes teaching and learning process can strength the students\u27 character and very interactive, joyful and achieve learning objectives
Development of Lecture Attendance System Using QR Code in Information and Computer Engineering Education Study Program of Universitas Negeri Makassar
This research is a software development research that aims to develop a lecture attendance system because from the past until now the computer engineering and informatics education study program did not have an attendance database, therefore the attendance data collection itself was done manually which could trigger human error and attendance fraud which is often done by students. Therefore it is necessary to develop a student attendance information system using a QR Code. The application quality based on ISO 9126 quality standards. In this study, system data analysis and collection, prototyping, prototyping, system coding, system testing, system evaluation, and system use. Data was collected using interviews, observation, and survey techniques. The system was validated by two system experts and evaluated by 40 students from the In-formation Technology and Computer Engineering study program at UNM. Data analysis used descriptive statistical analysis techniques. Based on these findings, we created an application that can manage wedding guest data. Based on the test results, you will get the following results: (a) Very good functionality in this category; (b) The maintainability aspect has met the maintainability standard; (c) The portability aspect is rated 1 or very good category; (d) Aspect of reliability with a percentage value of 99.9 so that it meets the reliability standards set in the Telcordia standard; (e) The efficiency aspect of this application is Grade B with a performance percentage of 83; and (f) The system user rating (usability aspect) has a score of 88.05 or very good in the category