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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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Pembahasan Formula Hidrolika untuk Pintu-Air-masuk R. Mohamad Besari
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 4 (1972)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

The use of coefficient μ or m is well known in hydraulics. However there exist some uncertainties in the value to be assigned in practice. The author costs some doubt on the notion that the some coefficient is used for two similar gates, but which have different flow directions post them. In the present work, the values of the coefficients are determined by conducting experiments in the Hydraulics Laboratory ITB, employing scaled model of a widely used gate in a plume. 
Photographic Photometry of NGC 6866 B. Hidajat; W. Sutantyo
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 3 (1972)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. Magnitudes and colors in the UBV photometric system have been determined for 575 stars in and around NGC 6866. The color-color relation of the cluster stars provides an estimate of interstellar reddening of 0.16 mag. The distance of cluster is found to be 1336 pc. The age, as determined from the evolutionary deviation curve, is approximately 2.5 x 108 years.  Ringkasan. Magnitudo dan warna dalam sistim UBV-photometri untuk 575 buah bintang disekitar NGC 6866 telah diukur setjara photographi-photometri. Excess warna, jang diturunkan dari diagram warna-warna, telah ditentukan sebesar 0.16 magnitudo. Djarak gugus bintang tersebut diperkirakan 1336 pc. Dari kurva evolusi diketahui bahwa umur gugus tersebut 2.5 x 108 tahun. 
The Origin of Several Pyroclastic Plateaux in the Padang Highlands (Central Sumatra) (Preliminary Paper) M.T. Zen
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 3 (1972)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. Several pyroclastic plateaux are known in the Padang Highlands. Westerveld (1952) suggested that those rhyolitic volcanics are sheetlike deposits of paroxysmal fissure eruption similar to the incandescent clouds of the Katmai type. Field observation, however, suggested that at least the pyroclastic plateau of Bukit Tinggi might as well be the result of an air borne tuff deposition which originated from a gigantic outburst of the Manindjau volcano prior to its caldera formation. The tuff plateau of Bukit Tinggi, as revealed by the exposures in Ngarai SiAnok, is neither layered nor welded and could not be deposited in water either. The landscape between Matur and Bukit Tinggi gives the impression as if ducoed by tuff from the air.  Ringkasan. Beberapa daratan jang terbentuk dari bahan pyroklastik dikenal di Daratan Tinggi Padang. Menurut Westerveld (1952) dataran2 tinggi tersebut jang terdiri dari batuan volkanik bersifat rhyolitik merupakan endapan pyroklastik terdiri dari lembaran2 (sheetlike) dan dihasilkan oleh suatu erupsi rekahan jang sama sifatnja dengan endapan awan panas dari Gunung Katmai di Alaska. Penelitian lapangan, sebaliknja, lebih menundjukkan bahwa dataran2 tinggi tadi, terutama Dataran pyroklastik Bukit Tinggi, mungkin sekali berupa endapan pyroklastik dari udara jang dikeluarkan oleh letusan raksasa Gunung Manindjau pada saat2 mendjelang ambruknja gunung tersebut untuk membentuk kaldera Danau jang besar itu. Dataran Tinggi tufa Bukit Tinggi, sebagaimana terlihat pada singkapan2 jang djelas di Ngarai Si Anok, tidak memperlihatkan perlapisan dan djuga tidak memperlihatkan "welding". Endapan tufa tersebut djuga tidak mungkin diendapkan diair. Bentang alam antara Matur dan Bukit Tinggi memberi kesan se-akan2 di-"duco" dari udara oleh tufa.
Rhizosphere Cyanophyceae of Soybean Inoculated with Rhizobium Japonicum U. Suriawiria
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 3 (1972)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. A study has been made of the species of Cyanophyceae occurring in the rhizosphere and nonrhizosphere regions of soybeans in pot culture under glasshouse conditions. Eleven species of Cyanophyceae were detected. The algal species were not influenced in diversity by the presence of Rh. japonicum. Very few cells of only four species occurred in unplanted pots. Attention is drawn to the dearth of information available on rhizosphere algae and to their likely importance for the heterotrophic populations.  Ringkasan. Penelitian terhadap species Cyanophyceae jang terdapat didaerah rhizosphere dan nonrhizosphere akar kedele, telah dilakukan dalam kondisi rumahkatja dengan menggunakan pot. Sebelas species Cyanophyceae telah didapatkan. Kehadiran Rh. japonicum ternjata tidak mempengaruhi diversitas species gang-gang. Hanja empat species dalam djumlah jang sangat sedikit, didapatkan pada pot tanpa kedele. Perhatian sangat ditundjukan karena kurangnja informasi mengenai ganggang didaerah rhizosphere, serta kepentingannja didalam populasi jang heterotropis.
Matriks Fundamental II Achmad Arifin
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 3 (1972)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Ringkasan. Suatu matriks kwadratis kita katakana fundamental djika ia simetris dan setiap submatriks utamanja mempunjai deretminan jang positif. Misalkan f suatu bentuk bilinier pada suatu ruang vector berdimensi hingga atas lapangan riil, dan f berkoresponensi dengan suatu matriks G. kita buktikan, bahwa f suatu hasilkali-dalam djika dan hanja djika G fundamental.Abstract. We define a square matrix to be fundamental if it is symmetric and all its principal submatrices have positive determinants. Let f be a bilinear form on finite-dimensional vector space over the real field which corresponds to a matrix G. We prove that f is an inner-product if and only if G is fundamental. 
Gerak Photon dalam Medan Gravitasi jang Kuat disekitar Bintang jang Mampat. Winardi Sutantyo
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 2 (1971)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Ringkasan. Dalam tulisan ini, review mengenai gerak photon dalam medan gravitasi jang kuat diberikan. Photon jang dipantjarkan dari sekitar atau dalamnja sebuah bintang jang sangat mampat dapat lepas, djatuh kembali, atau bergerak dalam orbit lingkaran, bergantung pada arah mula2 dari ketjepatan photon. Abstract. In this paper, a review of the motion of photons in a strong gravitational field is given. Photon which are emitted from the neighborhood or from within a superdense star, may escape, falling or moving in a circular orbit, depending on the initial direction of the photons. 
Penjebaran Amphibia dan Reptilia didataran Tinggi Bandung H.S. Hardjasasmita
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 2 (1971)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Ringkasan. Studi mengenai penjebaran vertical dari amphibia dan reptilian telah dikerdjakan disebelah utara dataran tinggi Bandung, Djawa Barat selama bulan September sampai dengan Desember 1968. Dikemukakan bahwa enamribu tahun jang lalu dipresi Bandung pernah merupakan suatu danau luas jang dibentuk oleh hasil kegiatan gunung berapi. Hasil koleksi terdiri dari 200 specimen, diantaranja 13 specie amphibian dan 39 species reptilia. Ditundjukkan bahwa djulah species pada tiap lokalitas tidak sama dan menundjukkan suatu korelasi jang baik dengan ketinggian tiap lokalitas.Abstract. A study on a vertical distribution of amphibians and reptiles has been conducted at the northern part of Bandung Highland, West Java between the month of September and December 1968. According to geologist, six thousand years ago the Bandung Depression was an extensive lake dammed by the product of volcanic activities. Two hundred specimens of 13 species of the reptiles have been collected. The number of species in each locality shows good correlation with the altitude. 
Produk Langsung Lengkap dari Grup K. Kromodihardjo
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 2 (1971)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Let Γ = {Gi} be a countable collection of groups. Then its cartesian product can be made into a group in a very obvious way. This new group is called the external direct product of the groups Gi from the collection Γ. On the other hand we have the internal direct product of subgroups of a group. For a finite collection the internal direct product of subgroups is isomorphic with the external direct product. It is no longer true when the collection is infinite, even countable. For an infinite collection of groups the direct product must be defined in the other way. The main purpose of this paper is to give a general concept of the direct product of an arbitrary collection of groups, which is called THE COMPLETE DIRECT PRODUCT OF GROUPS. 
Geothermal System of the Dieng-Batur Volcanic Complex M.T. Zen
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 1 (1971)
Publisher : Institute for Research and Community Services (LPPM) ITB

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This paper is mainly concerned with the evaluation of reports on geophysical and geochemical surveys made by Group Seven Inc. and Truesdell in the Dieng Mountains under contract with US-AID and on behalf of the Directorate General for Power and Electricity and the Indonesian Geological Survey and partly also with the author's own field observation on geothermy in the Dieng Mountains in Central Java. All the accumulated data lead to the conclusion that the geothermal system of eastern Dieng originated through the intersection of two major fracture zones. The high chloride content found in various streams gives good reason to accept that the geothermal system of the Dieng Mountains is a system of hot water and steam rather than a system of dry steam only. The hot springs in the Dieng Mountains might represent surface manifestation of a deep, neutral, hot water "reservoir". The distribution of geo-electric anomaly which resulted from two dipole mapping surveys delineated a belt of anomalously low resistivity in the eastern Dieng Mountains in which there are three areas of very low resistivity indicating systems of up-welling thermal water. These systems might be connected at great depth. The area with low resistivity anomaly might indicate a reservoir having a volume of 5 to 6 cubic kilometers at depth of 2 kilometers. An estimate based on geophysical data suggests that a power production rate of 200 megawatts could be supported for 25 years, or of 100 megawatts for 50 years. Based on all those data an exploratory deep drilling work is recommended which is due to start in June 1971. 
Locally Linearized Solution of Lifting Transonic Flow by Method of Parametric Differentiation Harijono Djojodihardjo
Journal of Mathematical and Fundamental Sciences Vol. 6 No. 1 (1971)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

The governing equation of transonic small disturbance flow present a non-linear partial differential equation which is difficult to solve. The method of parametric differentiation reduces the non-linear partial differential equation of transonic flow into an ordinary differential equation with variable coefficient, which is generally much simple to solve. Further simplification is introduced, as also done in the method of local linearization, by assuming (1-M12) to vary sufficiently slowly, so that in some part of the analysis its derivatives with respect to x can be disregarded. Based upon these methods, the lifting transonic flow was analyzed. For the subsonic and supersonic parts, closed form solutions were obtained. For the case M1 â‰ˆ 1, the method yields an integral equation, which can be solved by an iterative scheme starting from the non-lifting solution. 

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