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Journal of Mathematical and Fundamental Sciences
Published by Institut Teknologi Bandung
ISSN : 23375760     EISSN : 23385510     DOI : https://doi.org/10.5614/j.math.fund.sci.
Core Subject : Science, Education,
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics
Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health, Medical, Pharmacy), Mathematics, Physics, and Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 689 Documents
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Shrodinger Equation in General Relativity Hans J. Wospakrik
Journal of Mathematical and Fundamental Sciences Vol. 8 No. 2 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. Dalam tulisan ini diturunkan persamaan Schrodinger ke dalam TRU dari suatu partikel bermuatan dalam potensial Coulomb, yang diperoleh sebagai approksimasi dari pada persamaan Klein-Gordon dalam TRU dengan anggapan bahwa energi kinetik dan potensialnya kecil sekali dibandingkan terhadap energi diam mc2. Potensial gravitasi-Newton muncul di dalam formulasi ini sebagaimana diharapkan dalam bentuk non-relativitistiknya. Ditunjukkan pula disini bahwa persamaan radialnya memiliki titik r "“ o sebagai titik singular yang non-essensial, yang mana memberikan eksistensi solusinya dalam penguraian deret sekitar r = o. Solusi approksimasi dengan mempergunakan teori Perturbasi ternyata memunculkan beberapa divergensi yang masih belum terpecahkan dalam tulisan ini. Ringkasan. Schrodinger equation in GR for a charged particle in Coulomb potential is presented, derived from the formulation of Klein-Gordon equation in GR with an assumption that the kinetic and potential energy are small in comparison with the rest energy mc2. The term Newtonian, potential appeared directly as expected from the non-relativistic Schrodinger equation in the Newtonian gravitational field. It is shown that its radial equation posseses a non-essential singular point at r = 0, therefore it has a power series solution about r = 0. Perturbation theory is used to find its approximation solution, encountered some divergences that remained unsolved. 
Determination of Surface Finish Quality of Metals By Means of Optical Methods Ariono Abdulkadir; Richard C. Birkebak
Journal of Mathematical and Fundamental Sciences Vol. 8 No. 1 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Ringkasan. Determination of surface - finish quality is done by measurements of its rms. Values of surface roughness and slopes. Mechanical measurements of these properties are done by using a profilometer. This method, however, is limited to surface having asperities larger then the size of the profilometer's tip and is of destructive type of testing. Alternate techniques using optical method based on the theories of Davies and Beckmann are presented. The instrumentation used was a double - beam, modified Perkin-Elmer 621 Spectrophotometer. Results using several randomly roughened metallic surface show good agreement with the existing theory and experimental results.Abstract. Pengukuran kekasaran permukaan-permukaan logam biasanya dilakukan dengan menentukan harga rms. dari  seluruh distribusi jarak dari lembah kepuncak beserta orientasi dari setiap faset yang membentuk kekasaran permukannya. Pengukuran kebesaran-kebesaran ini secara mekanis dilakukan dengan mempergunakan profilometer. Akan tetapi, metoda ini terbatas untuk permukaan-permukaan yang ukuran ujung jarum profilometer yang dipakai; lagipula metoda ini termasuk dalam jenis yang disebut "destructive testing". Tulisan ini menguraikan suatu alternatip dengan memakai metoda secara optis dan mempergunakan teori-teori Davies dan Beckmann. Instrumentasi yang dipergunakan ialah suatu Perkin-Elmer 621 Spectrophotometer dengan sistim sinar rangkap dan yang telah dimodifikasikan. Hasil-hasil yang diperoleh dengan mempergunakan berbagai jenis logam yang permukannya telah dikasarkan secara sebarang memberikan kecocokan yang cukup baik bila dibandingkan dengan teori dan hasil-hasil eksperimentil yang ada hingga saat ini.
Tondano Pyroclastic M.T. Zen; Muziel Alzwar
Journal of Mathematical and Fundamental Sciences Vol. 8 No. 1 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. Recent A recent investigation into the volcanic geology of Minahasa revealed the existence and distribution of pyroclastic flow sheets of which origin and mode of emplacement are yet to be solved. These pyroclastic flow sheets are found covering nearly whole Minahasa. It consists of loose to dense tuff or tuffaceous material, containing angular, to subangular and rounded pumice fragments measuring from a few mm to 15-20 mm across, showing several cycles of deposition. Welding is only detected at one spot and very limited. Quartz fragments are common but not abundant. Along the lake of tondano those pyroclastics form terraces ranging in height from 1.5 to 20 m, whereas farther away along the North and the South east these pyroclastic sheets form typical soft undulating landscapes. Most probably these pyroclastics originated from fissure like eruptions in a longitudinal riftvalley on the crest of the Minahasa geanticline bordered to the SE by the slightly crescentic Lembean scarp, and to the NW by a row of young volcanoes. Some of the pyroclastics might have deposited aerially some showed some indication of flowage after deposition. In Central and East Minahasa most part of these pyroclastic sheets are covered by young and recently produced volcanics of andesitic composition. The magnitude of this deposit makes it necessary to be mapped as a separate unit and the regional mapping team of the Geological Survey of Indonesia should pay considerable attention to their presence and geologic importance, since, next to Toba this pyroclastic deposit is one having the largest surface distributionRingkasan. Suatu penelitian pendahuluan di daerah Minahasa baru-baru ini menemukan penyebaran suatu batuan pyroklastika secara luas sekali. Batuan ini dapat digolongkan sebagai "pyroclastic flow sheets" sedangkan asal usul endapan ini secara terperinci belum dapat diketahui dengan jelas. Endapan ini terdiri dari batuan tufa padat maupun tufa lepas dengan fragmen batu apung berbentuk angular ataupun bundar dengan diameter berkisar antara 15 hingga 20 cm. Endapan tersebut memperlihatkan ciri-ciri pengendapan bersiklus. Gejala "welding" hanya diketemukan pada satu tempat dan itupun secara sangat terbatas. Fragmen mineral kwarsa juga tampak tetapi tidak terlalu banyak. Disekitar danau Tondano, disebelah Barat Daya, endapan tadi membentuk teras-teras dengan ketinggian 15-20 meter sedangkan jauh di pantai Utara dan Selatan endapan tadi membentuk bentang alam ber-undulasi yang lemah. Besar kemungkinan endapan tadi berasal dari letusan-letusan yang terdapat pada puncak geantiklin Minahasa yang dibatasi pada sebelah Timur oleh "Lembean Scarp", sedangkan disebelah Barat ia dibatasi oleh deratan kerucut gunung-gunung berapi muda. Sebagian dari endapan pyroklastik tadi mungkin diendapkan dari udara, sebagian mengalami proses aliran sesudah diendapkan dari udara. Di Minahasa Tengah dan Minahasa Timur sebagian dari endapan pyroklastik tadi ditutupi oleh bahan-bahan volkanik berkomposisi andesit. Karena endapan tadi sangat luas, endapan-endapan tadi mungkin perlu dipetakan sebagai satuan terpisah, oleh karena itu perlu diperhatikan oleh team pemeta Direktorat Geologi. Sesudah Toba mungkin endapan pyroklastik Tondano adalah endapan terbesar di Indonesia.
The Effect of Insecticide Endrin on Soybean Root Nodules Bacteria Rhizobium japonicum U. Suriawiria
Journal of Mathematical and Fundamental Sciences Vol. 8 No. 1 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. The effects of Endrin on soybean root nodules baccteria Rhizobium japonicum has been studied. In pot experiments with soybean and addition of Endrin gave no quantitative change of these bacteria during any part of the vegetation period, Rhizobium japonicum strains have been isolated from Endrin treated soil. These cultures grew fairly well in medium with Endrin as the sole source of carbon. Ringkasan. Telah diselidiki pengaruh insektisida Endrin terhadap bakteri nodula akar kacang kedele Rhizobium japonicum. Ternyata dalam percobaan dengan menggunakan pot yang disertai penambahan Endrin, tidak memberikan perubahan jumlah dari bakteri tersebut selama pertumbuhan kacang kedele. Strains Rhizobium japonicum dapat dipisahkan dari tanah-tanah yang diberi perlakuan Endrin. Biakan-biakan dari bakteri tersebut tumbuh baik pada media yang diberi penambahan Endrin sebagai sumber C.
Poisson Bracket Relativistic Hans J. Wospakrik
Journal of Mathematical and Fundamental Sciences Vol. 7 No. 4 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. Classical Poisson Bracket is extended to the four dimensional space - time formalism in Special Relativity. This formulation gives the relativistic equation of motion appeared directly as its consequenced. Ringkasan. Dalam artikel ini dicoba memperluaskan notasi Poisson Bracket dalam Mekanika Klassik ke dalam ruang-waktu berdimensi empat dari Teori Relativistik Khusus. Formulasi ini, ternyata sangat menarik sekali karena memberikan persamaan-persamaan gerak relativistik muncul secara wajar sebagai konsekwensinya.
Vinti's Surface Density as a Means of Representing the Earth's Disturbance Potential Harijono Djojodihardjo
Journal of Mathematical and Fundamental Sciences Vol. 7 No. 4 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. Vinti's method of representing the potential of the earth in two parts, with the first part represented by spheroidal potential and the second part being the earth disturbance potential, is outlined. The earth's disturbance potential is then represented as a surface distribution σ of mass density of variable sign over a sphere S just clearing the earth. The feasibility of the method is evaluated by calculating the distribution of o from satellite determination of the harmonic coefficients. Ringkasan. Suatu metoda untuk menyatakan potensial bumi berdasarkan teori Vinti diuraikan. Menurut metoda ini, potensial bumi dinyatakan sebagai jumlah potensial utama, yang diperoleh sebagai potensial spheroid, dan potensial gangguan, yang dinyatakan sebagai distribusi kerapatan masa permukaan pada suatu bola yang tepat menyelubungi bumi. Kegunaan metoda ini diuji dengan menghitung distribusi σ dengan menggunakan koefisien-koefisien harmonik yang ditentukan dari analisa data satelit.
Reproduksi pada Suatu Jenis Chiroptera dari Daerah Tropis Tadarida plicatus plicatus (Horsfield) Sri Sudarwati; Lien A. Sutasurja
Journal of Mathematical and Fundamental Sciences Vol. 7 No. 4 (1974)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Ringkasan. Siklus reproduksi Tadarida plicatus plicatus (Horsfield) telah diselidiki selama dua tahun berturut-turut. Tenyata dalam setahun terdapat dua kali masa berkembang-biak, yakni pada bulan-bulan Maret-April serta September-Oktober. Type uterusnya bicornuatus dengan tanduk kiri yang tereduksi, karena itu implantasi embryo selalu berlangsung dalam tanduk uterus yang kanan. Abstract. The reproductive cycle of Tadarida plicatus plicatus (Horsfield) has been studied for two consecutive years. Results show a biannual breeding season, in March-April and September-October. The uterus is bicornuate with a reduced left horn, implantation of embryo therefore always occurs in the right horn. 
Evolution of Stars toward the Main Sequence B. Hidajat
Journal of Mathematical and Fundamental Sciences Vol. 7 No. 3 (1973)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. A review on the knowledge of the stellar evolution toward the main sequence is presented. This is the period during which the stars evolve from the beginning of their formation to the phase of stabilization on the main sequence where nuclear reactions begin to provide the entire energy supply. Ringkasan. Dalam tulisan ini diberikan suatu ulasan mengenai evolusi bintang menuju ke deret utama. Yang dimaksud dengan periode evolusi disini ialah periode sejak bintang-bintang tersebut dibentuk, dari materi antar bintang, hingga mencapai saat ketika energi bintang-bintang tersebut dibentuk dengan reaksi nuklir.
Some Notes on the Design, Construction and Performance of the Low-Speed Wind-Tunnel at ITB Harijono Djojodihardjo
Journal of Mathematical and Fundamental Sciences Vol. 7 No. 3 (1973)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. A concise description of the design and construction of the low speed wind-tunnel at Institut Teknologi Bandung and the calculation of its energy losses are presented. Some tests have been undertaken to evaluate its performance, in particular to evaluate the flow pattern at the test-section and the power input for a specific range of wind velocity at the test-section. The maximum velocity achieved at the test-section was 30 m/sec with corresponding Reynolds number of 2 x 104 per cm.  Ringkasan. Konstruksi dan perhitungan kerugian energi  pada terowongan angin kecepatan rendah di ITB diuraikan secara garis besar. Selanjutnya dipaparkan hasil-hasil penilaian performance dari terowongan angin ini, terutama mengenai keadaan aliran pada testsectiondan hubungan antara daya input pada motor dengan kecepatan aliran pada test-section. Kecepatan angin sebesar 30 m/det dapat diperoleh pada test-section, dengan bilangan Reynolds sebesar 2 x 104 per cm model.
Evaluasi Nodulasi Alami terhadap 102 Species Polong-Polongan dari Beberapa Tempat di Jawa Barat U. Suriawiria
Journal of Mathematical and Fundamental Sciences Vol. 7 No. 3 (1973)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Ringkasan. Evaluasi nodulasi alami terhadap 102 species Polong-polongan dari beberapa tempat di Jawa Barat telah dilakukan. Kesemuanya termasuk kedalam familia Ceasalpiniaceae (17 species), Mimosaceae (19 species) dan Papilionaceae (66 species).Abstract. The evaluation of natural nodulation towards 102 Leguminous plant species of the West Java area, have been studied. These belong to the family of Ceasalpiniaceae (17 species), Mimosaceae (19 species) and Papilionaceae (66 species). 

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