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Showing 50 articles found for "Metric"

Existence and Uniqueness of Fixed Points In Complex Value Metric Space

Nurul Huda, Siti Nafisah
Abstract: Himpunan yang dilengkapi dengan suatu metrik disebut ruang metrik dan dituliskan dengan (X,d). memperkenalkan konsep ruang metrik yang lebih baru, yaitu ruang metrik bernilai kompleks. Ruang metrik bernilai kompleks merupakan… pakan perumuman dari ruang metrik klasik. Selain itu, juga membahas tentang teorema titik tetap pada ruang metrik bernilai kompleks. Titik tetap merupakan suatu titik yang dipetakan ke dirinya sendiri. Kemudian, titik tetap mengalami perluasan menjadi titik tetap berpasangan. Titik tetap berpasangan adalah sepasang titik yang dipetakan ke masing-masing elemen pasangan titik tersebut. Tujuan dari penelitian ini adalah membuktikan eksistensi dan ketunggalan titik tetap berpasangan pada ruang metrik bernilai kompleks. Penelitian dilakukan dengan membentuk barisan dari pemetaan F yang kontraktif di ruang metrik bernilai kompleks. Selanjutnya, membuktikan bahwa barisan tersebut adalah barisan Cauchy dan konvergen ke titik tetap berpasangan di F. Kemudian membuktikan bahwa F memiliki titik tetap berpasangan yang tunggal. Hasil yang diperoleh dari penelitian ini adalah pemetaan F pada ruang metrik bernilai kompleks yang memenuhi salah satu dari tiga ketaksamaan dengan dua koefisien yang jumlahannya kurang dari satu memiliki titik tetap berpasangan yang tunggal.

Daily Peak Load Forecasting At PT. PLN Uses Anfis(Adaptive Neuro-Fuzzy Inference System)

Susatyo Handoko, Karnoto Karnoto
Abstract: The demand for electrical energy continues to rise with the progression of time. This growth must be matched by a reliable and cost-effective supply of electricity, requiring power systems that are both dependable and economical.… onomical. Since the amount of electricity consumed by users cannot be precisely predicted, balancing generation with consumption necessitates accurate electrical load forecasting. This study focuses on load forecasting using the Adaptive Neuro-Fuzzy Inference System (ANFIS) method. The forecast developed targets daily peak loads, which fall under short-term load forecasting. The data used for this forecasting consists of historical daily peak loads from January 1, 2017, to June 9, 2022. The forecasting process involves parameters such as radius, squash factor, accept ratio, reject ratio, and epoch. The forecast accuracy is evaluated using the Mean Absolute Percentage Error (MAPE) metric. The results are then compared with PLN’s load forecasting, which employs the load coefficient method. The ANFIS-based forecasting achieved a MAPE of 1.879%, using networks Jaringan_24 and Jaringan_25. This MAPE value is slightly lower than PLN’s load forecasting MAPE of 1.917%, indicating better accuracy by the ANFIS method.

Does Company Size and  Profitability Matter? Investigating the Moderating Effects of Growth in Cash Flow on Stock Performance

Agus Fuadi, Dian Sulistyorini Wulandari, Fedia Chairunnisa
Abstract: This research examines the intricate relationships between company size, growth in cash flow, and stock performance, revealing complexities that challenge traditional financial analysis. While company size is often associated… iated with stable stock performance due to advantages such as economies of scale and market power, the findings indicate that size alone does not positively impact stock performance. Furthermore, the study demonstrates that growth in cash flow does not significantly moderate the relationship between company size and stock performance. This suggests that external factors, such as regulatory changes or market sentiment, may play a more decisive role. The results underscore that cash flow, while an important indicator of financial health, does not enhance the influence of company size on stock performance, particularly in certain industries where external conditions prevail. This underscores the need for a more comprehensive evaluation approach that considers a broader range of factors when assessing stock performance. It's time to move beyond traditional metrics like profitability and cash flow growth and equip ourselves with a more robust set of tools for analysis. Ultimately, this research advocates for a multifactorial approach to stock performance evaluation, emphasizing the importance of understanding the interplay between various variables, including industry trends and macroeconomic conditions. By adopting this comprehensive perspective, investors and analysts can make more informed decisions and strategies, enhancing their ability to navigate the complexities of the financial markets.

Analysis Of Students' Errors In Solving Geometric Transformation Problems At Sma Amir Hamzah Medan

Annisa Qoyyima, Elisabeth Romauli Purba, Maria Panjaitan, Tabitha Gabriela Sianipar, Kms. Muhammad Amin Fauzi
Abstract: This study aims to analyze the types of errors made by 11th grade students at SMAS Amir Hamzah Medan in solving geometric transformation problems involving translation, reflection, rotation, and dilation. The study employs… ys a qualitative descriptive approach with a sample of 15 students selected based on high, medium, and low ability categories. Data were collected through essay tests and analyzed using Newman's Error Analysis, which consists of five stages of errors: reading, understanding, transformation, process skills, and writing the final answer. The analysis results indicate that the highest incidence of errors occurred in the understanding stage and process skills stage, each accounting for 36%. Transformation errors accounted for 21.33%, while reading and final answer writing errors were in the very low category, each at 9.33%. These findings indicate that students still face difficulties in understanding basic concepts and technical steps in geometric transformations. Based on these results, it is recommended that teachers implement systematic learning strategies such as Learning Therapy, emphasizing the understanding of prerequisite concepts, writing down known and asked information, and developing the habit of structuring and evaluating solution steps systematically to minimize similar errors in the future.

A Bibliometric Analysis Of Psychological Measurement In Sports: Mapping Global Trends, Collaborations, Thematic Developments

Noor Akhmad
Abstract: Psychological measurement tools are fundamental in sports psychology for assessing mental toughness, performance anxiety, motivation, and resilience in athletes. Despite increasing research in this field, a comprehensive… bibliometric analysis of global trends, collaboration networks, and thematic developments remains limited. This study conducts a bibliometric analysis of 489 Scopus-indexed articles published between 1977 and 2025 to examine publication trends, key contributors, and thematic structures. Results indicate that the United States (32.5%), United Kingdom (15.8%), Germany (9.6%), and Canada (7.3%) are the leading contributors, with emerging research from Slovenia (2.1%) and Uruguay (1.7%). Institutional collaborations highlight strong interdisciplinary ties, particularly between the Center for Addictive Disorders and the Faculty of Medicine and Health. Co-authorship analysis identifies Nikos Ntoumanis (98 publications) and Jennifer Cumming (76 publications) as pivotal researchers, while citation network analysis highlights influential clusters led by Joan L. Duda (4,532 citations) and Andreas Ivarsson (3,215 citations). Bradford’s Law identifies Psychology of Sport and Exercise and Journal of Applied Sport Psychology as core journals. Thematic mapping reveals that mental toughness (18.4%) and resilience (14.7%) are dominant topics, while psychometrics (6.3%) and competitive anxiety (5.1%) remain underexplored. These findings provide strategic insights for enhancing global research collaboration, bridging psychological theory and practice, and guiding future research directions in sports psychology.

Pengaruh Buku Cerita Bergambar Terhadap Perkembangan Bahasa Pada Anak Usia Prasekolah Paud Nagaya Sigi

M. Hian Akhir, Juwita Meldasari Tebisi, Katrina Feby Lestari, Moh. Malikul Mulki
Abstract: Pendahuluan: Buku cerita bergambar merupakan sebuah metode yang dinilai bagus dalam memfokuskan pada stimulus perkembangan bahasa anak dalam pembelajaran. Studi Pendahuluan mengatakan pada 5 orang anak yaitu, 2 orang anak… k tidak dapat menyebutkan 2 gambar yang di tunjukkan oleh peneliti kemudian 1 orang anak tidak dapat menujukkan ke 4 warna yang diberikan oleh peneliti, dan 2 lainnya mampu menjawab gambar yang di tunjukkan oleh peneliti. Tujuan penelitian ini untuk menguraikan Pengaruh Buku Cerita Bergambar terhadap Perkembangan Bahasa pada Anak Usia PraSekolah di Paud KB Nagaya Kecamatan Dolo Kabupaten Sigi. Penelitian ini menggunakan desain Pre-Eksperimental dengan pendekatan One Group Pretest And Posttest Design. Sample dalam penelitian ini berjumlah 10 siswa dengan teknik pengambilan sampel Purposive sampling. Perkembangan bahasa anak sebelum di berikan buku cerita bergambar adalah sebagian besar Suspek sebanyak 10 responden (10%) sedangkan perkembangan bahasa anak setelah diberikan buku cerita bergambar adalah sebagian besar Normal sebanyak 9 responden (90%). Uji  Nonparametric Mc Nemar didapatkan  p = 0,04  (p ≤ 0,05). Simpulan Terdapat pengaruh buku cerita bergambar terhadap perkembangan bahasa pada anak usia prasekolah di Paud KB Nagaya Kecamatan Dolo Kabupaten Sigi. Saran bagi guru di Paud KB Nagaya agar menggunakan metode buku cerita bergambar agar meningkatkan perkembangan bahasa pada anak usia prasekolah.

Pengaruh Edukasi Nutrisi Terhadap Tingkat Pengetahuan Pengelolaan Diet Nutrisi Pasien Chronic Kidney Disiase Yang Menjalani Hemodialisa Di RSUD UNDATA Provinsi Sulawesi Tengah

Intan Angelina Dombo, Djuwartini, Yulta Kadang
Abstract: Salah satu terapi terhadap penderita gagal ginjal kronik yaitu hemodialisis. Hemodialisis bertujuan untuk mengeliminasi sisa-sisa produk metabolisme atau protein didalam tubuh. Tindakan ini juga dapat menyebabkan komplikasi,… asi, diantaranya yaitu mempengaruhi status gizi pasien. Beberapa pasien mengalami kesulitan dalam pengelolaan asupan nutrisi, namun mereka tidak mendapatkan pemahaman tentang bagaimana strategi yang dapat membantu dalam pengelolaan diet nutrisi sehingga strategi yang perlu dilakukan adalah pemberian edukasi nutrisi pada pasien hemodialisa. Tujuan penelitian ini yaitu untuk mengetahui pengaruh edukasi nutrisi terhadap tingkat pengetahuan pengelolaan diet nutrisi pasien chronic kidney disease yang menjalani hemodialisa di RSUD Undata Provinsi Sulawesi Tengah. Jenis penelitian ini adalah Kuantitatif dengan desain Pre-experimen yang menggunakan rancangan One Grop Pre Test and Post Test Design. Sampel penelitian berjumlah 18 responden yang diambil menggunakan teknik Purposive sampling. Pengambilan data menggunakan kuesioner yang di analisis dengan uji non-parametric wilcoxon  diperoleh nilai p=0,000 (p ≤ 0,05). Menunjukkan bahwa ada pengaruh edukasi nutrisi terhadap tingkat pengetahuan pengelolaan diet nutrisi pasien chronic kidney disease yang menjalani hemodialisa di RSUD Undata Provinsi Sulawesi Tengah. Diharapkan penelitian ini bisa menjadi sumber informasi dalam meningkatkan upaya pelayanan kesehatan dengan melakukan pemberian edukasi nutrisi, khususnya pada pasien hemodialisa.

Efektivitas Health Education Bencana Alam Gempa Bumi Berbasis Permainan Ludo Siaga Terhadap Kesiapsiagaan Siswa SDN 16 Balaesang

Izul huda, Siti Yartin, Katrina Feby Lestari
Abstract: Health Education Berbasis Permainan Ludo Siaga Merupakan Metode Penyampaian Informasi Kesiapsiagaan Bencana Alam Gempa Bumi. Masalah dalam penelitian ini adalah bagaimana Efektivitas Health Education Bencana Alam Gempa Bumi… umi Berbasis Permainan Ludo Siaga Terhadap Kesiapsiagaan Siswa SDN 16 Balaesang. Tujuan penelitian ini untuk menganalisis Efektivitas Health Education Bencana Alam Gempa Bumi Berbasis Permainan Ludo Siaga Terhadap Kesiapsiagaan Siswa SDN 16 Balaesang Sebelum dan Setelah Diberikan Permainan Ludo Siaga. Penelitian ini menggunakan desain Pre-Eksperimen, dengan pendekatan One Group Pretest And Posttest Design. Sample dalam penelitian ini berjumlah 27 siswa dengan teknik pengambilan sampel Total sampling. Tingkat kesiapsiagaan responden sebelum diberikan Permainan ludo siaga  adalah sebagian besar hampir siap sebanyak 13 responden (48,1%) sedangkan Tingkat kesiapsiagaan responden setelah diberikan Permainan ludo siaga  adalah sebagian besar sangat siap sebanyak 19 responden (70,4%). uji Nonparametric Wilcoxon didapatkan  p = 0,000  (p ≤ 0,05). Kesimpulan terdapat Efektivitas Health Education Bencana Alam Gempa Bumi Berbasis Permainan Ludo Siaga Terhadap Kesiapsiagaan Siswa SDN 16 Balaesang. Saran bagi guru SDN 1 Balaesang agar memberikan ilmu pengetahuan tentang kebencanaan khususnya gempa bumi dengan metode permainan ludo kepada siswa agar dapat mengurangi dampak dari bencana alam.

Analysis Error Student In Learning Geometry As Base Understanding Non-Euclidean Geometry : An Overview Literature Based on Newman's Error Analysis

Siregar, Dosta Ernauli, Purba, Lasvina Br., Chyntia, Jesica Dhea, Fauzi, KMS Muhammad Amin
Abstract: This study aims to identify the dominant error patterns of students in geometry learning based on Newman's Error Analysis (NEA) and to examine their implications for readiness to understand Non-Euclidean Geometry. The method… thod employed is a Systematic Literature Review (SLR) of 10 empirical articles published between 2019 and 2026. Data were extracted based on the five stages of NEA — reading, comprehension, transformation, process skill, and encoding — and subsequently analyzed through narrative synthesis, percentage comparison, and descriptive effect size. The results indicate that comprehension errors and encoding errors are the most dominant categories, with the highest percentages of 56.92% and 50%, respectively, followed by transformation errors, which consistently fall within a moderate effect range (20–40%), while reading errors and process skill errors are classified as low. The primary causes of errors include weak understanding of geometric concepts, inability in spatial visualization, limited mathematical language, and lack of procedural precision. The findings contribute as a diagnostic foundation for designing more effective geometry learning, while simultaneously serving as a conceptual bridge toward higher-level geometry

A Theme–Rheme Analysis of International News Reports on Russia’s LGBT Policy

M. Asril Marpaung
Abstract: This study examines how thematic organization contributes to the construction of state power and social positioning in international news discourse. Drawing on Halliday’s Systemic Functional Linguistics, with a specific… c focus on Theme–Rheme structure, the study analyses a BBC news report published in November 2023 on the Russian Supreme Court’s decision to designate the so-called “international LGBT movement” as an extremist organization. Using a qualitative textual approach, the text is segmented into clauses and analyzed to identify patterns of thematic choice and progression. The findings reveal a consistent foregrounding of institutional actors, such as state authorities and legal bodies, in Theme position when reporting legal actions and policy decisions, while members of the LGBT community and civil society figures are predominantly thematized in clauses expressing reactions, personal experiences, and anticipated consequences. This asymmetric thematic distribution constructs a discourse in which state authority is positioned as the primary agent of action, whereas affected social groups are framed as respondents to institutional power. The study demonstrates that ideological meanings in news discourse may be realized implicitly through grammatical organization rather than explicit evaluative language, and it highlights the value of Theme–Rheme analysis for examining power relations in contemporary international news reporting.