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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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Geometric Properties of Landscapes H.D. Tjia
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 3 (1965)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. Quantification of landforms has been executed for most watershed elements and adjacent slopes and some concerning mountains and distribution pattern of land and water. Almost all watershed characteristic are based on the system of stream ordering. Empirically certain statistical relations of landscape elements have been proven to exist beyond doubt like  the laws of stream numbers, stream lengths, stream slopes, drainage basin areas, contributing areas; also: constant of channel maintenance; drainage density and texture ratio; relief ratio; hypsometric integrals for drainage basins and mountains; frequency distribution of stream lengths; maximum valley side slopes. Furthermore, interesting results may be expected from the concepts of geometrical similarity of drainage basins and the distribution pattern of land and water. The good to excellent quality of Indonesian topographic maps invite an immediate investigation of drainage density and texture ratio; hypsometric integral, maximum valley side slopes, and relief ratio in order to obtain quantitative proofs in distinguishing landforms as products of humid tropics from those of the temperate humid/dry climates. Ichtisar. Sifat-sifat geometri dari bengtangalam telah diukur setjara kwantitas, seperti untuk kebanjakan unsur-unsur daerah aliran dan beberapa mengenai gunung dan penjebaran dari daratan dan air. Hampir semua sifat daerah aliran didasarkan atas suatu sistim tata-atur aliran (stream ordering). Dalam praktek telah dapat dipastikan beberapa hubungan antara unsur-unsur bentangalam masing-masing, seperti hokum-hukum djumlah sungai, pandjang sungai, terdjun sungai, luas daerah aliran, 'contributing areas'; 'constant of channel maintenance'; 'drainage density and texture ratio'; 'relief ration'; 'hypsometric integral' untuk daerah aliran dan untuk gunung; 'frequency distribution' dari pandjang sungai; maksimum dari lereng lembah. Selandjutnya masih dapat diharapkan hasil-hasil jang menarik dari konsepsi 'geometrical similarity' dari daerah aliran serta dari teori pola penjebaran daratan dan air. Peta-peta topografi Indonesia jang ketelitiannja sangat baik sudah memungkinkan penjelidikan geomorfologi kwantitatif disini. Sebagai permulaan penjelidikan mengenai 'drainage density and texture ratio', hypsometric integral', lereng lembah maksimum dan 'relief ratio' dapat dilakukan guna memperoleh angka-angka untuk membeda-bedakan bentangalam sebagai hasil dari iklim tropika lembab dan jang dibentuk oleh iklim sedang lembab kering.
Ferric Alumunium Sulfate Production for Water Treatment Purposes Tan Tjeng Giok; Tjiook Tiauw Kien
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 2 (1964)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Ichtisar. Untuk memenuhi kebutuhan akan alumunium sulfat untuk pendjernihan air telah diselidiki pembuatannja dari tailing bauksit, suatu bahan bauksit inferieur jang merupakan zat buangan  pada pertambangan bauksit. Tailing bauksit dihaluskan  mendjadi "“100 mesh dan kemudian direaksikan dengan asam sulfat 45° Bé selama 3 djam  pada 105-110°C. Sebagai hasil diperoleh suatu "cake" dengan 15,5% oksida2 logam jang dapat melarut, jang terdiri dari oksida alumunium  dan besi III (Alumunium sulfat  teknik mengandung 15-17% Al2O3). Zat 2 yang tidak melarut  sebanjak 8,1 % (a.l. mengandung silica) tidak dipisahkan. "Cake" jang dihasilkan mempunjai sifat2 jang baik, jakni agak mudah dihantjurkan dan  melarut dalam air. Dari percobaan2 koagulasi  dengan beberapa djenis air permukaan  ternjata, bahwa "ferric alumunium cake" ini dapat dipakai sebagai pengganti alumunium sulfat. Zat-2 jang tidak melarut terpisah dari airnja bersama-sama dengan kotoran2 koloidal jang dikoagulasikan
Identification Charts for Planetary Nebulae Pik Sin The
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 2 (1964)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. At Dr. L. Perek's request, identification charts for 12 known planetary nebulae, of which the locations were not certain, are given. Ichtisar. Atas permintaan Dr. L. Perek, peta pengenal untuk 12 kabut planit jang letaknja diragukan, disadjikan dalam tulisan ini.
Effects of Meteor-Impacts on Stationary Satellites K. Purbosiswojo
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 2 (1964)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. In this paper the changes of the orbital elements of stationary satellites due to meteor-impacts are discussed. From these changes in principle one should be able to draw the conclusion whether or not there exist a correlation between meteor-mass and velocity.It has been shown here, how to detect and estimate an increase in space-density and the velocity-vector of any meteor stream T  which the satellite traverses. Numerical results, however, show that effects of meteor-impacts  can be neglected at all.Ichtisar. Dalam tulisan ini diperbintjangkan, pengaruh pertumbuknja meteor2 pada satelit stasioner. Pada prinsipnja orang dapat mengetahui ada tidaknja korelasi antara massa dan ketjepatan meteor dari perubahan2 orbit satelit tersebut. Djuga ditundjukkan bahwa pada prinspinja orang dapat mendjabarkan dari perubahan2 jang tersebut kepadatan ruang dan vektor ketjepatan suatu aliran meteor jang dilintasi satelit. Tetapi hasil2 numerik membuktikan bahwa pengaruh meteor dapat diabaikan sama sekali.
Investigation of The Limiting Behavior of The Sequence of Density Ratios in A Family of Non-Central t-Distribution Sunardi Wirjosudirdjo
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 2 (1964)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. Let X1, X2, "¦..be a sequence of noncentral t-distributed random variables with parameter θ. In this paper we investigate the limiting behavior of density ratios of X0. This is an example of the family of distributions discussed in [4].Here, we derive the results of David and Kurskall [2] in a slightly more general form and a stronger result is obtained, namely: If θ1 < θ2 are two parameters and Rn(θ1,θ2) is the density ratio of Xn, then there is  Î¸0 such that the limit of Rn is 0 with respect  to θ<θ0 and is ∞  with respect  to θ>θ0. With respect to θ=θ0, the limit infimum is 0 and the limit supermum is ∞. It is also shown that θ0 is between 0 and ½ (θ1+θ2). Ichtisar. Misalnja X1, X2 "¦ adalah barisan variabel random jang mempunjai distribusi t jang nonsentral dengan parameter θ. Maksud dari karangan ini adalah menjelidiki sifat2 limit rasio fungsi kepadatan dari Xn tersebut. Hal ini merupakan tjontoh dari matjamnja family distribusi jang dibitjarakan dalam karangan [4]. Djuga karangan ini merupakan pembitjaraan lebih landjut dari [2], dimana David & Kruskal membuktikan bahwa sequential probability ratio test dari distribusi t akan berhenti dengan kemungkinan satu. Sifat limit dari tjontoh famili distribusi disini lebih kuat dari di [4], dan dapat diterangkan sbb. : Misalkan θ1 < θ2 adalah dua parameter dan Rn (θ1, θ2) adalah rasionkepadatan Xn dari θ2 dan θ1. Maka terdapat θ0 sehingga limit dari Rn sama dengan 0 terhadap θ < θ0 dan sama dengan ∞ terhadap θ > θ0. Sedang terhadap θ0 limit infimumnja sama dengan 0 dan limit supremumnja adalah ∞. Letak θ ini diantara 0 dan 1/2 (θ1 + θ2), sehingga hal jang terachir ini akan menghilangkan sangkaan orang mengenai letak simetrinja θ0 diantara 01 dan 02.
On Methylene Blue and Its Zinc Thiocyanate Complex in Connection with A New Spectrophotometric Determination of Zinc Isjrin Noerdin
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 2 (1964)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. By reacting zinc with methylene blue and thiocyanate and measuring the decrease in absorbance, calibration curve for a photometric determination of zinc are found, which under suitable conditions are independent of the pH, the ionic strength, the temperature, and also of small differences. Ichtisar. Djika seng direaksikan dengan biru metilena dan tiosianat dan diukur berkurangnja absorpsi, akan terdapat garis kalibrasi untuk suatu penentuan fotometris baru untuk seng, jang, djika dipenuhi sjarat2 tertentu, tidak terpengaruhi oleh pH, "ionic strength", temperature dan djuga tidak oleh selisih waktu jang tidak terlampau besar.
Beberapa Pikiran Mengenai Perkembangan Televisi di Indonesia Iskandar Alisjahbana; Baidillah Mardjuni
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 1 (1964)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Ichtisar. Televisi, selain vital untuk bangsa2 NEFO guna memperkuat persatuan dan memperkembangkan kepribadiannja, djuga merupakan suatu keharusan jang mutlak untuk menghadapi tantangan2 jang disebabkan oleh kemadjuan2 teknik, chusus dalam bidang telekomunikasi. Dengan kemadjuan2 jang ditjapai dalam Space radio2 communication, jaitu hubungan radio melalui satelit buatan jang diorbitkan diangkasa luar, dalam waktu jang tidak terlalu lama, dapat diramalkan bahwa tiap penduduk dibumi ini, tidak hanja dapat menerima siaran2 radio, tetapi djuga dapat mengikuti siaran2 televisi dari tiap negara diseluruh dunia. Untuk menghadapi tantangan ini, Indonesia tidak dapat tergantung hanja dari djaringan2 telekomunikasi jang dibangun melulu dengan alat2 buatan luar negeri. Tulisan ini menjarankan suatu djaringan alternatip jang sederhana dan murah, dimana potensi industri dalam negeri jang ada, sudah dapat diikut sertakan. Djaringan alternatip ini berdasarkan suatu projek-teladan stasiun relay televise digunung Tangkubanprahu untuk penerimaan dikota Bandung, jang merupakan hasil karja Panitia Transmisi Televisi Eksperimentil. Sedikit perhitungan jang merupakan dasar dari projek-teladan di Tangkubanprahu ini, diuraikan sekadarnja. Abstract. Television is vital to the New Emerging Forces nations, and is also a means of strengthening their unity and developing their integrity. Television is also important to a nation facing the challenge of  modern technical development, particularly  in the field of telecommunication. With the advances achieved in Space-Radio Communication, that is radio communication through manmade satellites orbited into outer space, it can be predicted that in the near future, people on earth will not only be able to receive radio broadcasts, but also to watch programs from every country in the world. To face this challenge, Indonesia, in setting up her telecommunication network, must not depend on foreign made instruments. This paper suggests an alternative and less expensive telecommunication network in which potential domestic industries are able to participate. This alternative network is based on a pilot project television relay station on Mount Tangkubanperahu for reception in the Bandung area. This pilot project is the work of the Committee on Television Experimentation. A few basic computation on which the Tangkubanperahu pilot project is based are demonstrated. The proposed television network, are taking advantages of high mountains which are a feature of Indonesian landscape; unfortunately a complete survey has not yet been made. The use of high mountains, however, has logistic consequences, and further study of this aspect is necessary.
New H-ALPHA Emission Stars in A Region to the East of the T-Association Near Rho Ophiuci Pik Sin The; Ham Keng Lim
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 1 (1964)
Publisher : Institute for Research and Community Services (LPPM) ITB

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The result of a survey of H-alpha emission objects in an area of approximately 25 square degrees centered on the star CD -24°12765 (R.A.=16h38.m5; Dec.=-24°22';1950), is presented. Only 33% of H-alpha emission stars discovered by Dolidze and Arakelyan (1959) which are located in  the present survey region, are redetected in our plates. A total number of 32 new H-alpha emission objects are found. Their position and finding charts are given.
Soybean-Extract and Cane Molasses for Active Dried Yeast Production Ko Swan Djien; Oei Ping Jauw
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 1 (1964)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract. Extract of germinating soybeans was used as enrichment in a medium of blackstrap cane molasses for producing active dried yeast. Optimum amount of soybeans and optimum germination time has been investigated. Yeast cells produced from a medium prepared from molasses, (NH4)2 SO4 and KH2PO4.Ichtisar. Ekstrak dari kedele berkatjambah telah dipakai untuk memperkaja perbenihan jang dibuat dari tetes untuk pembuatan ragi roti kering. Djumlah kedele dan waktu perketjambahan jang terbaik telah ditentukan. Ragi jang dibuat dari perbenikan tersebut mempunjai daja tahan lebih besar terhadap pengeringan daripada ragi jang dibuat dari perbenihan jang mengandung tetes, (NH4)2SG4 dan KH2PO4.
Beberapa Tjatatan Mengenai Roket K. Purbosiswojo
Journal of Mathematical and Fundamental Sciences Vol. 3 No. 1 (1964)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Ichtisar. Dalam karangan ini didjelaskan beberapa persamaan untuk roket ideal. Dalam roket ideal ini termasuk roket jang pengurangan bahan bakarnja tiap waktu adalah konstan dan roket jang gaja dorongnja konstan dalam segala keadaan tekanan udarannja statis dan ketinggian roket dari permukaan air laut. Abstract. In this paper some equations for idealized rockets are discussed. This type of rockets include those which rate of mass-change is constant and those which thrust is constant in any kind of condition of static pressure and altitude.

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