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Quaternionic Version of Rotation Groups and Lorentz Group Rahmawati, Latief; Khalif, Muhammad Ardhi; Rosyid, Muhammad Farchani
JOURNAL OF NATURAL SCIENCES AND MATHEMATICS RESEARCH 2015: JNSMR Volume 1 Issue 1 Year 2015
Publisher : Fakultas Ilmu Tarbiyah dan Keguruan, UIN Walisongo

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Quaternionic version of rotation groups and Lorentz Group has been constructed. The rotation groups that has been discussed were quaternionic version of groups , O(3), and SO(3). The Lorentz groups that has been discussed were quaternionic version of groups SL(2;C), O(3; 1), and SOo(3; 1). Starting from the definition of each group, the parameters of the group were obtained. Finally the generators of the group were obtained. The commutation of the generator were also computed. 
Quaternionic Version of Rotation Groups Rahmawati, Latief; Ardhi Khalif, Muhammad; Farchani Rosyid, Muhammad
Journal Of Natural Sciences And Mathematics Research Vol 1, No 1 (2015): Volume 1, Nomor 1, 2015
Publisher : Faculty of Science and Technology, State Islamic University Walisongo Central Java

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (72.184 KB) | DOI: 10.21580/jnsmr.2015.1.1.479

Abstract

Quaternionic version of rotation group SO(3) has been constructed. We constructa quatenionic version of rotation operation that act to a quaternionic version of aspace coordinate vector. The computation are done for every rotation about eachcoordinate axes (x,y, and z). The rotated quaternionic space coordinate vector con-tain some unknown constants which determine the quaternionic rotation operator.By solving for that constants, we get the expression of the quaternionics versionof the rotation operator. Finally the generators of th
Lorentz Group Action on Ellips Space Khalif, Muhammad Ardhi
Journal Of Natural Sciences And Mathematics Research Vol 1, No 2 (2015): Volume 1, Nomor 2, 2015
Publisher : Faculty of Science and Technology, State Islamic University Walisongo Central Java

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/jnsmr.2015.1.2.1602

Abstract

The ellips space E has been constructed as cartesian product R+ × R+ × [ π 2 , π 2 ]. Its elements, (a, b, θ), is called as an ellipse with eccentricity is = p1 − b2/a2 if b < a and is = p1 − a2/b2 if a > b. The points (a, b, π/2) is equal to (b, a, 0). The action of subgrup SOoz(3, 1) of Lorentz group SOo(3, 1), containing Lorentz transformations on x−y plane and rotations about z axes, on E is defined as Lorentz transformation or rotation transformation of points in an ellipse. The action is effective since there are no rigid points in E. The action is also not free and transitive. These properties means that Lorentz transformations change any ellips into another ellips. Although mathematically we can move from an ellipse to another one with the bigger eccentrity but it is imposible physically. This is occured because we donot include the speed parameter into the definition of an ellipse in E.
Penguatan Desain Dakwah Masjid di Era Milenilal melalui Android Jasuri, Jasuri; Khalif, M. Ardhi; Anwar, Edi Daenuri
Dimas: Jurnal Pemikiran Agama untuk Pemberdayaan Vol 19, No 2 (2019)
Publisher : LP2M of Institute for Research and Community Services - UIN Walisongo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (574.884 KB) | DOI: 10.21580/dms.2019.192.5123

Abstract

Dedication work with the title "Design Da'wah Mosque in Millennial Era through Android" uses a community based research (CBR) model, namely by providing assistance in making mosque website design, website management and website content management in eight mosques in Central Java. The meeting point of da'wah that is carried out in the mosque either through recitation, or other forms of activity can be well documented via the internet and can be accessed by Muslims at large. The need for revitalization of the Da'wah Mosque Strategy, revitalization in question is the Da'wah Mosque Strategy is carried out massively, recorded, and uploaded on the mosque website. By uploading it on the website of the mosque, all people in need can download study materials and can see / listen at any time. Of the eight mosques, only two mosques have websites, the Baiturahman Mosque in Semarang and M asjid Agung in Central Java. This assistance resulted in a pretty good design. The website that has been designed by the mosque admin is good with menus and wicets relating to the activities of the mosque preaching. The mosque website is filtered in one "dakwah online" application. Users can enjoy the da'wah of the mosques from the eight mosques in real time effectively and efficiently. Pengabdian dengan topik “Desain Dakwah Masjid di Era Milenial melalui  Android” ini menggunakan model community based research (CBR), yaitu dengan melakukan  pendampingan pembuatan desain website masjid, pengelolaan website dan manajemen konten website pada delapan masjid di Jawa Tengah. Titik temu dakwah yang dilaksanakan di masjid baik melalui pengajian, maupun bentuk-bentuk kegiatan yang lain bisa didokumentasi dengan baik melalui internet dan dapat diakses oleh umat islam secara luas. Perlu adanya revitalisasi Strategi dakwah masjid, revitalisasi yang dimaksud adalah Strategi dakwah masjid dilakukan secara masif, terdata, dan diunggah dalam website masjid. Dengan diunggah dalam website masjid maka semua masyarakat yang membutuhkan bisa mendownload bahan-bahan pengajian dan bisa melihat/mendengarkan setiap saat. Dari delapan masjid dimaksud hanya dua masjid yang sudah memiliki website yaitu Masjid Baiturahman Semarang dan Masjid Agung Jawa Tengah. Pendampingan ini menghasilkan desain yang cukup baik. Website yang telah di desain oleh admin masjid sudah baik dengan menu dan wicget yang berkaitan dengan kegiatan-kegiatan dakwah masjid. Website masjid tersebut tersharing dalam satu aplikasi “dakwah online”. User bisa memenikmati dakwah masjid dari delapan masjid tersebut secara realtime dengan efektif dan efisien.
Penguatan Desain Dakwah Masjid di Era Milenilal melalui Android Jasuri Jasuri; M. Ardhi Khalif; Edi Daenuri Anwar
Dimas: Jurnal Pemikiran Agama untuk Pemberdayaan Vol 19, No 2 (2019)
Publisher : LP2M of Institute for Research and Community Services - UIN Walisongo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (574.884 KB) | DOI: 10.21580/dms.2019.192.5123

Abstract

Dedication work with the title "Design Da'wah Mosque in Millennial Era through Android" uses a community based research (CBR) model, namely by providing assistance in making mosque website design, website management and website content management in eight mosques in Central Java. The meeting point of da'wah that is carried out in the mosque either through recitation, or other forms of activity can be well documented via the internet and can be accessed by Muslims at large. The need for revitalization of the Da'wah Mosque Strategy, revitalization in question is the Da'wah Mosque Strategy is carried out massively, recorded, and uploaded on the mosque website. By uploading it on the website of the mosque, all people in need can download study materials and can see / listen at any time. Of the eight mosques, only two mosques have websites, the Baiturahman Mosque in Semarang and M asjid Agung in Central Java. This assistance resulted in a pretty good design. The website that has been designed by the mosque admin is good with menus and wicets relating to the activities of the mosque preaching. The mosque website is filtered in one "dakwah online" application. Users can enjoy the da'wah of the mosques from the eight mosques in real time effectively and efficiently. Pengabdian dengan topik “Desain Dakwah Masjid di Era Milenial melalui  Android” ini menggunakan model community based research (CBR), yaitu dengan melakukan  pendampingan pembuatan desain website masjid, pengelolaan website dan manajemen konten website pada delapan masjid di Jawa Tengah. Titik temu dakwah yang dilaksanakan di masjid baik melalui pengajian, maupun bentuk-bentuk kegiatan yang lain bisa didokumentasi dengan baik melalui internet dan dapat diakses oleh umat islam secara luas. Perlu adanya revitalisasi Strategi dakwah masjid, revitalisasi yang dimaksud adalah Strategi dakwah masjid dilakukan secara masif, terdata, dan diunggah dalam website masjid. Dengan diunggah dalam website masjid maka semua masyarakat yang membutuhkan bisa mendownload bahan-bahan pengajian dan bisa melihat/mendengarkan setiap saat. Dari delapan masjid dimaksud hanya dua masjid yang sudah memiliki website yaitu Masjid Baiturahman Semarang dan Masjid Agung Jawa Tengah. Pendampingan ini menghasilkan desain yang cukup baik. Website yang telah di desain oleh admin masjid sudah baik dengan menu dan wicget yang berkaitan dengan kegiatan-kegiatan dakwah masjid. Website masjid tersebut tersharing dalam satu aplikasi “dakwah online”. User bisa memenikmati dakwah masjid dari delapan masjid tersebut secara realtime dengan efektif dan efisien.
Analisis Dosis Paparan Radiasi Pada General X-Ray II Di Instalasi Radiologi Rumah Sakit Muhammadiyah Semarang Ida Septiyanti; M. Ardhi Khalif; Edi Daenur Anwar
Jurnal Imejing Diagnostik (JImeD) Vol 6, No 2: JULY 2020
Publisher : Poltekkes Kemenkes Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31983/jimed.v6i2.5858

Abstract

Background: This study analyzes the Radiation Dose of the General X-ray Radiology Installation at Roemani Hospital  Muhammadiyah Semarang to determine the dose received by the radiographer, the community around the room and to know the value of the effectiveness of radiation protection and to determine the pattern of radiation exposure distribution in the general X-ray radiology installation room II.Methods: Measurements were taken during general X-ray exposure and without exposure using a 451P ion chamber survey. Measurement of dose data received by the radiographer and the community around the room is taken at the point of the operator’s room, service room, waiting room. As for the measurement of the effectiveness of radiation protection taken at the point in the operator’s room and the general X-ray II and the radiation distribution pattern taken at points A, B, C, D and E with a distance of 40 cm, 80 cm and 120 cm in the room general X-ray II.Result: The result of measurements in the operator room are 0.0354 µSv / hour, waiting rooms with a distance of 3.5 m at 0.0146 µSv / hour, in the service room and waiting room with a distance of 8 m at 0 µSv / hour. The value of the effectiveness of radiation protection in the operator station is 83.33% and the general X-ray II door is 84.09%.Conclusions: Based on the results of the data obtained the value of the dose received and the value of effectiveness is quite safe from excessive radiation exposure. The radiation distribution pattern, the farther the distance from the radiation source, the measured radiation exposure value will be lower. 
Genetic Algorithm for Solving 3 Dimensional Time Table Problem Based on Traveling Salesman Problem (TSP) Method Dwi Fatul Oktafiani; Muhammad Ardhi Khalif
Journal of Natural Sciences and Mathematics Research Vol 4, No 1 (2018): June
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (822.815 KB) | DOI: 10.21580/jnsmr.2018.4.1.10958

Abstract

Scheduling problems are problems that are often faced by educational institutions, especially at the university level. This is because there are several obstacles in the preparation of the schedule, namely first, there should be no duplication of space, day, and hour. Second, there should be no duplication of lecturers on the same day and time, even though in different rooms and in different subjects. Third, there should be no duplication of group classes (study groups). Therefore, the purpose of this study is to obtain a genetic algorithm as a solution in overcoming the three constraints of preparing the schedule by using the Traveling Salesman Problem (TSP) method in the crossover process. To make it easier to organize the schedule, a 3-dimensional matrix is used with the x-axis representing (space, day, hour), the y-axis representing (courses, lecturers, credits) and the z-axis representing (classes). This study simulates the scheduling of 20 courses, 50 credits, 8 lecturers, and 19 classes. Chromosomes in this study are permutations of integers 1-20. Each gene in a chromosome represents a course package. From the scheduling results, the fitness function is 0.96 for 48 schedule slots (2 rooms x 3 days x 8 hours). For schedule slots greater than 50 (3 rooms x 3 days x 8 hours, 2 rooms x 4 days x 8 hours, and 2 rooms x 3 days x 9 hours), this algorithm is successful in getting fitness function 1. ©2018 JNSMR UIN Walisongo. All rights reserved.
Lorentz Group Action on Ellips Space Muhammad Ardhi Khalif
Journal of Natural Sciences and Mathematics Research Vol 1, No 2 (2015): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (308.267 KB) | DOI: 10.21580/jnsmr.2015.1.2.1602

Abstract

The ellips space E has been constructed as cartesian product R+ × R+ × [ π 2 , π 2 ]. Its elements, (a, b, θ), is called as an ellipse with eccentricity is = p1 − b2/a2 if b a and is = p1 − a2/b2 if a b. The points (a, b, π/2) is equal to (b, a, 0). The action of subgrup SOoz(3, 1) of Lorentz group SOo(3, 1), containing Lorentz transformations on x−y plane and rotations about z axes, on E is defined as Lorentz transformation or rotation transformation of points in an ellipse. The action is effective since there are no rigid points in E. The action is also not free and transitive. These properties means that Lorentz transformations change any ellips into another ellips. Although mathematically we can move from an ellipse to another one with the bigger eccentrity but it is imposible physically. This is occured because we donot include the speed parameter into the definition of an ellipse in E.
Pengembangan Modul Fisika Berbantuan Teknologi Augmented Reality pada Materi Gelombang Bunyi untuk SMA/MA Kelas XI Lilin Nazwa Khunaeni; Wenty Dwi Yuniarti; Muhammad Ardhi Khalif
Physics Education Research Journal Vol 2, No 2 (2020)
Publisher : Faculty of Science and Education, UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/perj.2020.2.2.6144

Abstract

This research aims to determine the appropriateness of a physics module with Augmented Reality (AR) technology. This research is an RD research consisting of the initial study stages, planning, development, product assessment, product revision and field trials. Data collection techniques used were observation and interviews during the preliminary study, and questionnaires for validation of material experts and media experts, validation of physics teachers, and student responses. Based on the data analysis, it was concluded that the quality of the physics module was very good with a percentage value of 95% from material experts, 86.67% from media experts and 90% from physics teachers. Student responses to the physics module obtained a percentage of 89% in the very good category. Based on the research results, the physics module with Augmented Reality (AR) technology developed is appropriate and can be used in physics learning.
Developing Physics Learning Media Based on Augmented Reality to Improve Students’ Critical Thinking Skills Hannatun Nusroh; Muhammad Ardhi Khalif; Affa Ardhi Saputri
Physics Education Research Journal Vol 4, No 1 (2022)
Publisher : Faculty of Science and Education, UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/perj.2022.4.1.10912

Abstract

Media has a significant role in achieving learning objectives, including critical thinking skills. This study develops Augmented Reality-based physics learning media to improve students’ critical thinking skills in XI class of senior high schools on optical instruments. This is Research and Development (RD) through the ADDIE development model (Analysis, Design, Development, Implementation, and Evaluation). The study was conducted with a small-scale trial of 30 students of XI class MIPA 1 MAN Demak. The instruments used were expert validation sheets, teacher and student response sheets, and pre-test and post-test questions for students’ critical thinking skills. The product feasibility test is carried out based on the validation results of media and material experts. N-gain test is used to determine the improvement of students’ critical thinking skills. The feasibility test results show that Augmented Reality-based learning media on optical instruments is feasible, with a feasibility score percentage of 78.79% (valid) based on media experts and 90% (very valid) based on material experts. The learning media received an excellent response from the physics teacher with an average score of 4.27 (very good) and 4.28 (very good) from the students. The use of physics learning media has increased students' critical thinking skills, based on the N-gain test results of 0.415 with moderate improvement criteria. Augmented Reality-based learning media can be applied to improve students' critical thinking skills.