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Morrey Spaces are Embedded Between Weak Morrey Spaces and Stummel Classes Tumalun, Nicky; Gunawan, Hendra
Journal of the Indonesian Mathematical Society Volume 25 Number 3 (November 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.3.817.203-209

Abstract

In this paper, we show that the Morrey spaces $ L^{1,\left( \frac{\lambda}{p} -\frac{n}{p} + n \right) } \left( \mathbb{R}^{n} \right) $ are embedded betweenweak Morrey spaces $ wL^{p,\lambda}\left( \mathbb{R}^{n} \right) $ and Stummelclasses $ S_{\alpha}\left( \mathbb{R}^{n} \right) $ under some conditions on$ p, \lambda $ and $ \alpha $. More precisely, we prove that $ wL^{p,\lambda}\left(\mathbb{R}^{n} \right) \subseteq L^{1,\left( \frac{\lambda}{p} - \frac{n}{p} + n\right) } \left( \mathbb{R}^{n} \right) \subseteq S_{\alpha}\left( \mathbb{R}^{n}\right) $ where $ 1p\infty, 0\lambdan $ and $ \frac{n-\lambda}{p}\alphan $.We also show that these inclusion relations under the above conditions are proper.Lastly, we present an inequality of Adams' type \cite{A}
Morrey Spaces are Embedded Between Weak Morrey Spaces and Stummel Classes Nicky Tumalun; Hendra Gunawan
Journal of the Indonesian Mathematical Society Volume 25 Number 3 (November 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.3.817.203-209

Abstract

In this paper, we show that the Morrey spaces $ L^{1,\left( \frac{\lambda}{p} -\frac{n}{p} + n \right) } \left( \mathbb{R}^{n} \right) $ are embedded betweenweak Morrey spaces $ wL^{p,\lambda}\left( \mathbb{R}^{n} \right) $ and Stummelclasses $ S_{\alpha}\left( \mathbb{R}^{n} \right) $ under some conditions on$ p, \lambda $ and $ \alpha $. More precisely, we prove that $ wL^{p,\lambda}\left(\mathbb{R}^{n} \right) \subseteq L^{1,\left( \frac{\lambda}{p} - \frac{n}{p} + n\right) } \left( \mathbb{R}^{n} \right) \subseteq S_{\alpha}\left( \mathbb{R}^{n}\right) $ where $ 1<p<\infty, 0<\lambda<n $ and $ \frac{n-\lambda}{p}<\alpha<n $.We also show that these inclusion relations under the above conditions are proper.Lastly, we present an inequality of Adams' type \cite{A}
Proper Inclusion Between Vanishing Morrey Spaces and Morrey Spaces Nicky Kurnia Tumalun
Tensor: Pure and Applied Mathematics Journal Vol 2 No 1 (2021): Tensor : Pure And Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol2iss1pp1-4

Abstract

In this paper, we give an explicit function which belongs to the Morrey spaces but not in the vanishing Morrey spaces. Therefore, we obtain that the Morrey spaces contain the vanishing Morrey spaces properly.
ANALISIS KESALAHAN PESERTA DIDIK DALAM MENYELESAIKAN SOAL MATEMATIKA MATERI OPERASI MATRIKS Verencia Oroh; Ontang Manurung; Nicky K. Tumalun
ADIBA : JOURNAL OF EDUCATION Vol. 2 No. 2 (2022): APRIL
Publisher : CV. ADIBA AISHA AMIRA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (511.348 KB)

Abstract

This study aims to find out what mistakes students make when solving addition, subtraction, and matrix multiplication problems. The method in this study is a qualitative descriptive research method. Collection data are using evaluations and interviews. This study was followed by 25 people from class XI SMA Negeri 1 Langowan. This study concluded that: (1) Many students experienced errors, there were some students who answered correctly, some did not answer and there were also wrong facts, concepts, principles, and operations, (2) Based on the results of evaluations and interviews, there are mistakes made by class XI students at SMA Negeri 1 Langowan in solving matrix operation problems: Fact errors, namely: errors related to the material in the questions; Conceptual errors are errors in understanding abstract ideas; Errors in principle, namely: errors in applying the principles that exist in the problem; Operational errors, namely errors in mathematical calculations, (3) conceptual errors occurred in 12 students. As was done with the absent student number 24, this student operated the addition of a row by column matrix, (4) factual errors occurred in 2 students, conceptual errors occurred in 23 students, and operation errors occurred in 4 students. One of the errors in question number 2 was taken, as did the absent student number 8 making a factual error, (5) factual error occurred in 2 students, and operating error occurred in 5 students. One of the errors in question number 3 was taken, as did student absentee number 20 making an operation error, (6) factual error occurred in 4 students, a conceptual error occurred in 1 student, principle error in 6 students, and operator error. on 2 students. One of the errors in question number 4 was taken, as did the absent student number 15 making a principle error, (7) the proportion of errors from each question based on a predetermined error category, namely, factual error, concept error, principle error, operating error, ( 8) The average percentage of errors of all students in solving matrix operation problems are: (a) 5.85% factual error, (b) 43.67% conceptual error, (c) 10% principle error, (d) Operational error 12.69%.
ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA BENTUK ALJABAR MENGGUNAKAN PROSEDUR NEWMAN Angelia Augifty Evan Karouw; Nicky K. Tumalun; Jorry F. Monoarfa
Jurnal Sains Riset Vol 13, No 1 (2023): April 2023
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat (LPPM) Universitas Jabal Ghafur

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47647/jsr.v13i1.874

Abstract

The mistakes made by students are not known for sure what the form of the error is. Therefore, these errors need to be identified through the results of students' answers in solving algebraic story questions and reviewing whether students understand the meaning of the questions, whether students can develop plans for solving them, whether students can carry out the completion plans and whether students re-examine the final answers to determine conclusions.  In this study, errors were obtained based on Newman's completion steps, the most frequent mistakes made by students were process skills errors with a percentage of 38.77%, followed by writing errors with a percentage of 36.73%, then transformation errors with a percentage of 22.44%, then understanding error with a percentage of 12.24% and the last reading error with a percentage of 2.04%.Keywords : Newman, Error Analysis, Algebraic Forms of Story Problems 
PEMBELAJARAN DARING PADA PELAJARAN MATEMATIKA SISWA KELAS XI IPA SMA NEGERI 1 TOMOHON Krista Monika Ransun; Anetha L.F. Tilaar; Nicky Kurnia Tumalun
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 1 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i1.240

Abstract

Online learning has several challenges such as the internet connection as well as convoluted explanations of math problems which oftentimes affect the capability of teacher to deliver the material optimally. For teachers, weaknesses and potential threats that have been mentioned then become a problem in finding solutions to maintain strengths and opportunities. Thus, the utilization of SWOT analysis was intended to identify all aspects of the application of courageous learning carried out by SMA Negeri 1 Tomohon. The research was conducted to achieve specific objectives, to describe SWOT aspects in the implementation of online learning on math subject in the 11th science class of SMA Negeri 1 Tomohon. The qualitative descriptive method was adapted in this study. The results showed that the implementation of online learning in a SWOT perspective had a correlation with time, costs and economic conditions, unconducive situations, learning resources, and learning motivation as well
ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA MATEMATIKA DENGAN MODEL SKEMATIK FONG Aurel Vania Karinda; Nicky Kurnia Tumalun; Derel Filandi Kaunang
Jurnal Education and Development Vol 11 No 2 (2023): Vol.11 No.2.2023
Publisher : Institut Pendidikan Tapanuli Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37081/ed.v11i2.4670

Abstract

The purpose of this study was to find out the mistakes made by students in solving math word problems on equations and quadratic functions and their causal factors based on the Fong Schematic Model. The research was conducted at St. Catholic Middle School. Rosa de Lima Tondano for the 2021/2022 academic year. The research method used is descriptive qualitative research method. Data collection was carried out using tests and interviews. The research subjects were class IX students of St. Catholic Middle School. Rosa de Lima Tondano. The results of the research are based on the first level of the Fong Schematic Model, namely the E1 scheme has no completion, E2 uses irrelevant procedures, E3 the schematic is incomplete without errors, E4 the schematic is incomplete with errors, E5 the schema is complete with errors. The results of the research are based on the second level of the Fong Schematic Model, namely mathematical operations, mathematical themes and psychological factors. Factors causing the mistakes made by students are: 1) lack of understanding of how to solve problems, 2) lack of thoroughness in solving questions, 3) lack of understanding of how to factor quadratic equations, 4) rush in solving questions, 5) forgetting how to solve problems, 6) lack of skills in applying material to problems and 7) decreased student ability during the co-19 pandemic.
DESKRIPSI PEMBELAJARAN DARING MATA PELAJARAN MATEMATIKA PADA MASA PANDEMI COVID-19 Karmelia Kristi Malonda; Ichdar Domu; Nicky Kurnia Tumalun
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 1 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i1.251

Abstract

This study aims intended to describe the difficulties of online learning in mathematics for class IX students of SMP Negeri 9 Satap Langowan. This type of research is a qualitative descriptive study with a sample of class IX students with a total of students 22 and 1 teacher of mathematics in class IX. There are 3 data collection techniques used by researchers, namely: first, interviews with class IX mathematics teachers. Second, a questionnaire filled out by class IX students and thirdly documentation related to research images. Data analysis in this study is data reduction, data presentation, and drawing conclusions. Through observations made, students and teachers experienced difficulties when learning online, there are two kinds of difficulties that are found, namely the general difficulties experienced by schools and teachers is that there is no readiness from teachers when facing online learning because all learning from conventional changes to modern. These changes completely changed both the concept, the strategy method and even the assessment from the teacher to the students. There are also students who have difficulty understanding mathematics learning given by the teacher through the WhatsApp Group application
ANALISIS KUALITAS SOAL BUATAN GURU DI SMP NEGERI 9 SATAP LANGOWAN PADA MATA PELAJARAN MATEMATIKA Josua Titanio Manarisip; Rosiah Juliati Pulukadang; Nicky Kurnia Tumalun
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 1 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i1.310

Abstract

This study aims to describe the quality of questions made by teachers at SMP Negeri 9 Satap Langowan in mathematics, in terms of validity, reliability, level of difficulty, distinguishing power and distractors of the questions. This research method is a type of descriptive research with a quantitative approach. The research data is collected by interview and taking the students answer paper. The research data is processed by using SPSS (Statistical Package for Social Science) for windows version 22 and the Microsoft Excel 2013 program. The results showed that in class VII: 40% valid test; reliability test results at 0.972; difficulty level of 20% easy, 50% medium, and 30% difficult; discriminating power of 50% is bad, 40% is enough, and 10% is good; and there are 2 distractor items not working. Whereas in class VIII: 70% valid: reliability test results at 0.979; difficulty level of 10% easy, 70% medium, and 20% difficult; discriminating power of 20% poor, 20% fair, 40% good, 10% very good, and 10% negative; and there are 5 distractor items not working. The results showed that for class VII the quality of the questions was categorized as good in terms of reliability and distractors, while class VIII was categorized as good in terms of validity, reliability, level of difficulty, discriminating power, and distractor
PENGARUH KREATIVITAS DAN PENYESUAIAN DIRI SISWA TERHADAP HASIL BELAJAR MATEMATIKA SISWA KELAS VII Syanet Kontur; Patricia V.J. Runtu; Nicky Kurnia Tumalun
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 1 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i1.312

Abstract

This study aims to determine the effect of creativity and self-adjustment of students on mathematics learning outcomes. The method in this study is a survey method. This research was conducted at SMP Negeri 2 Tondano in the even semester of the 2022/2023 academic year. The population in this study were all students of class VII from four classes with a total of 106 students. The sample in this study amounted to 68 students of class VII. Data collection techniques using a questionnaire. The variables of student creativity and adjustment were revealed by means of a questionnaire, and the results of learning mathematics were obtained from the grade VII student report cards for the even semester of the 2022/2023 academic year at SMP Negeri 2 Tondano. In this study Multiple Linear Regression Analysis is used to test the hypothesis. The results of the hypothesis test showed that creativity and self-adjustment of students had a positive effect on student learning outcomes of 47.3%. Based on the results of this study, it can be concluded that creativity and self-adjustment of students have a positive effect on student learning outcomes