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All Journal Epsilon: Jurnal Matematika Murni dan Terapan OMNICODE Journal (Omnicompetence Community Developement Journal)
Shiddiq, Muhammad Mahfuzh
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Humanities Decision Sciences, Operations Research & Management Education Environmental Science Public Health Transportation Other

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TITIK TETAP PERSEKUTUAN EMPAT PEMETAAN KONTRAKTIF PADA RUANG METRIK CONE Mawaddah, Ainal; Shiddiq, Muhammad Mahfuzh; Huda, Nurul
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 13, No 2 (2019): JURNAL EPSILON VOLUME 13 NOMOR 2
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v13i2.2049

Abstract

Huang Long Guang dan Zhang Xian pada tahun 2006 telah memperkenalkan metrik yang lebih baru yang disebut metrik cone. Suatu himpunan tak kosong X yang dilengkapi metrik cone d disebut ruang metrik cone. Suatu pemetaan memiliki titik tetap yang tunggal jika pemetaan tersebut merupakan pemetaan kontraktif. Konsep titik tetap persekutuan di ruang metrik cone juga harus memenuhi beberapa kondisi pemetaan yang bersifat coincidence point, point of coincidence, dan kompatibel lemah. Penelitian ini mengkaji titik tetap persekutuan untuk empat pemetaan yang kontraktif pada ruang metrik cone. Hasil penelitian ini menunjukkan bahwa empat pemetaan S, T, I dan J memiliki titik tetap persekutuan yang tunggal pada ruang metrik cone.Kata Kunci: ruang metrik cone, titik tetap persekutuan, pemetan kontraktif, coincidence point, point of coincidence, kompatibel lemah
Integrated Artificial Intelligence Mentoring to Enhance Teacher Competence at SMP Negeri 12 Banjarbaru Lissa, Hermei; Hijriati, Na'imah; Abdurrahman, Saman; Idris, Moch; Lestia, Aprida Siska; Shiddiq, Muhammad Mahfuzh; Sa’adh, Yalela; Oktaviani, Yeni Rahma
OMNICODE Journal (Omnicompetence Community Developement Journal) Vol. 5 No. 1 (2025)
Publisher : UrbanGreen Central Media

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55756/omnicode.v5i1.230

Abstract

The integration of Artificial Intelligence (AI) in school learning can enhance instructional quality and efficiency; however, its use by teachers remains fragmented. This community development activity, conducted by the Department of Mathematics at Universitas Lambung Mangkurat, aimed to improve teachers’ knowledge and skills through training and mentoring that emphasized the integrated use of ChatGPT, Gamma AI, and Presentations.AI. The program was implemented at SMP Negeri 12 Banjarbaru, Indonesia, involving teachers from various subject areas. Activities included AI-based training, hands-on mentoring, and pre- and post-activity evaluation. Data were analyzed using the Wilcoxon Signed-Rank Test. Results showed that improvements related to ChatGPT were not statistically significant (p > 0.05), whereas improvements with Gamma AI were statistically significant (p < 0.05). Improvements in Presentations.AI usage and integrated AI application skills were highly significant (p < 0.01). These findings indicate that integrated AI-based mentoring effectively enhances teacher competence at the junior high school level.
Co-Authors Hijriati, Naimah Idris, Moch Lestia, Aprida Siska Lissa, Hermei Mawaddah, Ainal Nurul Huda Oktaviani, Yeni Rahma Saman Abdurrahman Sa’adh, Yalela