Mathematics is a science that is structured deductively and systematically. Proof in Mathematics is important because it can enable critical thinking logically, and the truth of a hypothesis can be tested.  Mathematical induction is a proof method that has 2 steps, namely basis and induction. With advances in technology today, there are many applications that can make this proof easier, such as Python. This research uses quantitative and qualitative approaches to prove the effectiveness of using Python compared to manual proof. The results show that Python not only speeds up work but also minimizes errors that could occur if done manually. With this research we recommend further exploitation of mathematical induction in other programming applications.

This study aims to determine: (1) To determine the productivity of hybrid yellow corn farmers in Mrobea Village, Sawerigadi District, West Muna Regency and (2) To determine how much income hybrid yellow corn farmers get in Marobea Village, Sawerigadi District, West Muna Regency. The results of this study indicate that (1) The productivity of hybrid yellow corn farmers in Marobea Village, Sawerigadi District, West Muna Regency is 2,127/kg, which can be said to be quite productive with an average production of 3.128/kg and an average land area of ??1.47/ha. (2) The amount of income is obtained from the difference between total income of Rp14,050,976/ha/planting season with total production costs of Rp4,365,666/ha/planting season, resulting in an income of an average of Rp9,685,310/ha/planting season.

This research aims to determine the influence of marketing strategy on sales volume in CV.Rempah Sari in Padang City by using segmenting, targeting, and positioning strategies both partially and simultaneously. marketing is one of the most important functions in the company, where with the right marketing it can determine the sales volume and the position of the company (product) in the market. The data collection technique used in this study is by using questionnaires or questionnaires, namely data collection techniques carried out by providing a set of questions or statements to the leadership of CV.Rempah Sari kota padang. The purpose of this research is to find out how the influence of marketing strategies on the increase in the sales volume of sweet skins in cv.spice sari kota padang. The results of this research show that CV.Rempah Sari has a quality marketing strategy that can meet the needs of consumers.

A keyelement in the growth of teaching as a professionis teacher competency. A teacher needs to be proficient in a variety of behaviors, knowledge, and abilities in order to accomplish their professional tasks, which are demonstrated in their performance. When it comes to designing learning activities that will provide the best learning out comes, pedagogical expertise is the most important factor to take in to account. In actuality, though, there are still educators who lack pedagogical competency. The purpose of this study is to evaluate the Islamic Education (PAI) teachers' pedagogical proficiency in PAI learning activities at Bakong PittayaSchool in Pattani, Thailand. To comprehend the elements influencing the level of pedagogical competenceof PAI instructors at Bakong Pittaya School in Pattani, Thailand, as well as the characteristics of teacher competence in Thailand. This study takes a descriptive approach while using a qualitative research methodology. Data collection techniques, content analysis, interviews, and observation are all part of qualitative research. This study is being conducted at Bakong Pittaya School in Pattani, Thailand. According to the author's discussions with Islamic Education instructors and the school director, the pedagogical ability of PAI teachers at Bakong Pittaya School in Pattani, Thailand, is deemed good. Three components make up the pedagogical competency of PAI teachers: creating learning implementation plans (RPPs), carrying out learning, and conducting assessments. Teacher competency in Thailand is regulated by a teacher constitution that out lines the abilities or competencies a teacher must have, referred to as the teacher standards. Factors affecting the quality of pedagogical competence of PAI teachers in Thailand include internal factors such as efforts and initiatives from the PAI teachers themselves to develop knowledge in their field. Lack of discipline and responsibility among teachers pose a significant challenge for schools in Thailand in improving teacher competence. External factors include the school's support in providing learning facilities. Supporting factors involveactive participation from parents, community associations, teacher representatives, student representatives, directors, and principals, as well as academic experts/advisors, all of whom are part of the school committee.
Keywords: , ,

Home industry is a business unit on a small scale engaged in certain industrial fields. Even thought it is a small business unit, a development strategy is needed so that the business can run well and survive amidst the motivations of other businesses. The innovation needs to be supported by good financial management so that the innovations created by home industry owners can be realized. It is necessary to have human resources who are literate about today’s technology. This technology is not only used for marketing but also a means to seek various innovations business product.

BUMDes didirikan dengan tujuan meningkatkan kesejahteraan desa juga sebagai penciptaan lapangan pekerjaan. Fraud seringkali masih terjadi dalam kegiatan operasional semua organisasi, termasuk didalamnya BUMDes, Potensi fraud yang muncul terbanyak adalah dikarenakan adanya penyimpangan keuangan dana bergulir. Tujuan dari penelitian ini adalah untuk meneliti kemampuan resiliensi BUMDes mendeteksi fraud yang terjadi selama pandemi.Penelitian ini menggunakan metode kualitatif dengan objek penelitian di BUMDes Sumilen. Responden dari penelitian ini adalah pengurus BUMDes. Data yang digunakan merupakan data primer, yang didapatkan dari wawancara kepada responden. Hasil dari penelitian ini tidak ada dampak yang material atas kondisi pandemi seperti saat ini. Fraud maupun potensi terjadinya fraud tidak sering terjadi. BUMDes mengupayakan musyawarah ketika terjadi penyimpangan dalam kegiatan operasionalnya. BUMDes diharapkan lebih peka dalam mendekteksi risiko fraud dan menerapkan pengendalian internal untuk meminimalisir potensi fraud yang terjadi sehingga tujuan didirikannya BUMDes dapat tercapai.