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INDONESIA
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
 56   57   58   59   60 
The Dilemma of Physical Planning Education in Southeast Asia William A. Nash
Journal of Mathematical and Fundamental Sciences Vol. 2 No. 2 (1962)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Karangan ini mengadjukan suatu dilemma atau persoalan jang akan dihadapi oleh bagian Planologi ITB di waktu jang akan dating. Walaupun bagian planologi mengingat letak dan riwajat pembentukannja mempunjai banjak sifat jang menguntungkan untuk menjadi suatu pusat regional pendidikan planologi untuk Asia Tenggara akan tetapi salah satu soal jaitu bahasa pengantar pendidikan harus dipetjahkan dahulu.Karangan ini menindjau latar2 belakang persoalan ini, djuga menguraikan beberapa aktivita bagian Planologi sampai saat ini di lapangan research serta achirnja mengadjukan tiga alternatip utama untuk mengatasi persoalan bahasa pengantar itu.
Widerstandtransformationen Mit Gekoppelten Zweikreisigen Schaltungen Bei Beliebiger Bandbreite Iskandar Alisjahbana
Journal of Mathematical and Fundamental Sciences Vol. 2 No. 1 (1962)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Di bidang frekwensi gelombang pendek, yaitu kira-kira antara 1 MHz sampai 30 MHz, penjesuaian2 tahanan biasanja dilakukan dengan transformator2 saluran atau rangkaian2 transformasi jang terjadi dari kapasitet2 dan induktivitet2 tanpa botjor tenaga. Beberapa percobaan untuk melakukan penjesuaian tahanan dengan tjara jang sering dipakai di bidang frekwensi suara, jaitu dengan dua kumparan jang bergandengan, memberikan hasil jang memuaskan.Publikasi ini memuat hasil2 perhitungan jang merupakan dasar teori dari pertjobaan jang di atas, dan membatasi diri pada bidang frekwensi, dimana transformator masih bersifta kwasi-stationer.Perhitungan jang banjak persamaannja dengan perhitungan di publikasi ini, telah dilakukan oleh Feldtkeller, tetapi hanja untuk bidang frekwensi relatip jang sempit (∆ f/fm < 10%).Untuk bidang frekwensi jang lebar, Meinke mengusulkan tjara perhitungan grafis jang berdasarkan perhitungan Feldkeller. Kesalahan-kesalahan jang dibuat karena pengabaian2 , jang sebetulnja tak dapat lagi dilakukan pada bidang-frekwensi jang lebar, diperbaiki setjara bertahap.Tjara perhitungan tanpa pengabaian2 untuk lebar bidang frekwensi sembarang, haruslah memakai fungsi Tschebyscheff dalam bentuk petjahan. Berlainan dengan Cauer, fungsi petjahan Tschebyscheff jang dipergunakan dalam publikasi ini adalah dalam bentuk aslinja.
Faint Hα-Emission Objects in Nebulosities Surrounding the Star m Cen. Pik Sin The
Journal of Mathematical and Fundamental Sciences Vol. 2 No. 1 (1962)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Tudjuh puluh delapan buah bintang Hα-emisi jang baru dan dua buah kabut-planit telah diketemukan pada suatu survey dalam daerah kabut gelap dan bertjahaja pada lingkungan bintang m Cen. Pusat daerah ini terletak pada Î±=13h04m; δ=-63°30'(1875). Posisi kira-kira magnitudo V dan warna V-R telah ditentukan. Peta-peta jang menundjukkan letak benda-benda itu dilampirkan.Di antara bintang-bintang emisi ternjata ada 12 buah jang mungkin merupakan bintang berubah. Hal ini menjokong kesimpulan bahwa sebagian daripada bintang emisi jang lemah tjahajanya mungkin membentuk asosiasi-asosiasi T jang mempunjai hubungan dengan kabut-kabut  tersebut di atas dan mungkin djuga mempunyai hubungan dengan asosiasi OB jang dinamakan I-Cru.
The Banda Geosyncline during Permian Time: A Paleogeographic Synthesis S. Sartono
Journal of Mathematical and Fundamental Sciences Vol. 1 No. 4 (1961)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

In the eastern part of Indonesia a semicular zone known as the Banda Geosyncline coincides with the Outer Banda Arch. This geosynclines persisted from pre-Permian time until the Upper Tertiary. Its maximum extension was attained during Mesozoic time as shown by Mesozoic rocks of the many islands of the arch.The Banda Geosyncline was in existence during Permian time in an area which now occupies the southeastern corner of Indonesia as recorded by Permian rocks found on the islands of Savu, Roti, Timor, Leti, Luang and Babar. Reports of questionable Permian deposits on the islands of Ambon and in the eastern arm of island of Sulawesi (Celebes) may indicate that Permian geosynclines extended even further.Probably the Banda Geosyncline was already in existence in Carboniferous time. Carboniferous fossils are reported from southeastern Indonesia from the island of Leti and in the Tokala Mountains of the eastern arm of Sulawesi. The Carboniferous basin may form the initial stage of the Banda Geosyncline.The Permian Banda Geosyncline bordered a land mass which included the eastern part of Sulawesi, the Sula Spur, southern part of Irian (New Guinea), the Sahul shelf, and extended further to the south into Australia and Tasmania. The trend of geosynclines follows the present geanticlinal ridge of the islands of the Outer Banda Arch. The present Banda Sea apparently was an open sea during the Permian period.The distribution of Permian rocks and overthrust  units in Timor suggests that the Permian geosynclines in the southeastern corner of Indonesia was formed by two almost parallel basins, i.e. the Sonnebait-Mutis basin in the north and the Kekneno basin in the south. These two basins trended approximately northeast-southwest parallel with the trend of geosynclines in this part of Indonesia. The basins were separated by a narrow ridge responsible for the different facies of the sediments deposited in the two basins.The neritic volcanic rocks of the Sonnebait and the Mutis overthrust units indicate that the Sonnebait-Mutis depositional basin was deeper than Keknone basinof flysch facies. The rocks of the Kekneno basin were products of erosion and denudation of that part of the Permian land mass to the south. An abundance of fossils in the Sonnebait overthrust unit indicates favourable life conditions. Probably this basin had a good circulation with the open sea to the north, in the vicinity of present Banda Sea,At times volcano ejected tuffs and extruded lavas over the floor of Sonnebait-Mutis basin. The location of the vents has not been determined. The stratigraphical position and the character of the Mutis overthrust unit in Timor may give an indication that the volcanoes were located in the north of the Kekneno basin.Geographically the volcanic centra belonged to the afore mentioned Permian land mass. This continent had a bay which faced to the west into the present Banda sea. 
Aerial Observation of Gunung Merapi Central Djava H.D. Tjia
Journal of Mathematical and Fundamental Sciences Vol. 1 No. 4 (1961)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Pengamatan udara pada bulan Nopember 1961 dari Gunung Merapi di Djawa Tengah memberi kesimpulan bahwa kedua "break in slope" (tekuk pada lereng) jang terdapat di sana djuga merupakan batas-batas penggunaan tanah tanah atau vegetasi jang djelas. Ketiga vegetasi itu ialah: Sawah di bawah garis tinggi rata-rata 400 meter, ladang antara 400 dan 1500 meter, dan tanah tandus di atas 1500 meter. Daerah jang paling bawah tergolong dataran aluvium; daerah ladang terdiri dari endapan-endapan lahar, sedangkan puncak terdiri dari pyrokklastika. Sungai-sungai besar mempunjai tebing tegak di djalur vegetasi jang kedua. Tebing-tebing tegak itu mungkin disebabkan oleh ketidakpadatan dari endapan-endapan lahar. Bentuk-bentuk sawah dapat dipakai untuk mendapatkan kesan mengenai  besar lereng, jaitu galangan-galangan sawah dengan djelas mengikuti garis tinggi. Depresi jang terdjadi di tempat lidah lava 1961 berbentuk segitiga dengan puntjak yang memuntjak ke hilir, berlainan dengan depresi-depresi berbentuk segitiga sebagai hasil tanah longsor jang menjempit ke arah puntjak.
Tjatatan Mengenai Stratigraphy Pegunungan Karangbolong, Djawa Tengah H.D. Tjia
Journal of Mathematical and Fundamental Sciences Vol. 1 No. 3 (1961)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

The Karangbolong Mountains belong to the zone of Southern Mountains in Java. The former consists of three series rocks, the oldest being the "Old Andesite" Formation composed of andesitic eruptive and intrusive of oligicene to aquitanian age, uncomprotably overlain by the Karangbolong Limestone Member of Tertiary f1-3. Toward the north the upper most limestone beds interlinger with beds of the Marl-tuff Member of Tertiary f3. After this time marine sedimentation in this area came to a halt. Both the Karangbolong Limestone and the Marl-tuff members together form the Karangbolong Marine Formation.
The Direct Titration of Some Sulfonamide in Tablets Tan Sip Ie; Poey Seng Buw
Journal of Mathematical and Fundamental Sciences Vol. 1 No. 3 (1961)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Telah dilakukan beberapa peniteran beberapa sulfonamide jang banjak dipakai di Indonesia, jakni sulfadiazine, sulfamerazine, sulfamezathine dan sulfisomidine ("Elkosin"). Tjara jang dipakai adalah suatu modifikasi mengenai indikatornja dari tjara van Arkel & Woute jang sudah dimasukkan dalam Farmakoppe Belanda Ed. VI. Dengan tjara modifikasi kami ini perubahan warna pada titik achir titrasi, teristimewa pada penentuan langsung dari tablet2-nja adalah lebih djelas, sehingga dapat digunakan untuk penentuan2 routine dari tablet2 sulfa meskipun hasil jang diperoleh umumnja ada sedikit lebih tinggi dari semestinja. Sebagai kontrole dilakukan djuga peniteran setjara nitrimetrik.
Changes of Water and Nitrogen Content of "Trasi" during Commercial Preparation and Storage I. Sianturi
Journal of Mathematical and Fundamental Sciences Vol. 1 No. 3 (1961)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Note on a Possible OB Association in Scorpius Pik Sin The
Journal of Mathematical and Fundamental Sciences Vol. 1 No. 2 (1961)
Publisher : Institute for Research and Community Services (LPPM) ITB

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During a survey of Hα-emission stars, a clustering of OB  and A-type stars was noticed in the constellation Scorpius.  It is believed that these stars form a new association extending in R.A. from 17h00m to 17h16m (1900) and in Dec. from -31°30' to -34°30' (1900). The distance to this association is probably 1400 psc.In the course of recent survey of Hα-emission stars (1) in the vicinity of the emission nebulosities NGC 6334 and NGC 6357, the author noticed a clustering of Hα-emission stars to the north of dark nebula.  This nebula is believed to form a connection between the two emission nebulae. The group of Hα-emission stars is centered about the Hα-emission stars HD 155806 (R.A.= 17h08.m7, Dec.=-33Ëš26';1900), which is classified as Oe5p in the Henry Draper extension, while in the Henry Draper Catalog it is classified as B3p.A total of 13 Hα-emission stars were found in circular area of 1,5 degree radius, centered on the star HD 155806. Two of these stars are of late spectral type, six are early spectral type, and the remaining five are too faint to classify on both red and blue plates. They might possibly be T-Tauri type star, as may also be the case for the faint Hα-emission stars which are seen projected on the dark nebulosity mentioned above.It is well known that T associations are sometimes found together with OB associations. In order to determine whether or not an OB associations exists together with the above mentioned possible T association, the author made a preliminary search for such an association in circular area of one degree radius centered on the star HD 155806. Chart No. 180 in the Henry Draper Extension was used for this survey. Within the prescribed area,  49 OB-Type and 85 A-type stars were found.The corresponding surface densities are thus 15.6 and 27.0 stars per square degree
The Laplace Transform of Vector-Valued Functions Moedomo Soedigdomarto
Journal of Mathematical and Fundamental Sciences Vol. 1 No. 2 (1961)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Teori klasik dari transformasi Laplace-Stieltjies, telah diperluas oleh E.  Hille l4l untuk fungsi-fungsi pada [0,∞] ke dalam ruang Banach X jang mempunjai sifat bahwa setiap bilangan positip R, dengan supermum yang diambil terhadap semua koleksi-koleksi hingga {[rj, tj]}j=1 dari sub-interval2  lepas dari [0,R]. Setelah itu S.Zaidman (8) menyelediki hal jang serupa untuk fungsi-fungsi Î± jang bersifat kumpulan2 variasinya V ([0,R], Î±) jaitu koleksi semua elemen dari X jang berbentuk, merupakan sub kumpulan jang kompak di X.Karangan ini membitjarakan kemungkinan untuk membangun teori transformasi Laplace-Stieltjes untuk fungsi2 jang sifat2nja lebih umum daripada  fungsi2 jang dipeladjari oleh Hille dan Zaidman. Ternjata bahwa banjak hukum2 jang berlaku untuk transformasi fungsi dengan harga scalar berlaku djuga di sini.Perhitungan absis konvergensi Ïƒc(α) dapat dikerdjakan serupa dengan perhitungan untuk fungsi2 berharga scalar (lihat [6]), dan begitu pula dengan hukum2 yang berhubungan dengan analistas berlaku di sini.Suatu hal yang menarik ialah bahwa rumus inversi, dengan a > max [0, Ïƒc(α)] tidak berlaku tanpa sjarat tambahan jang harus dipenuhi oleh fungsi Î±,Demikian Hille telah membuktikan bahwa rumus inversi di atas berlaku bila Î± mempunjai variasi  jang terbatas absolute pada setiap interval jang hingga, sedangkan Zaidman mempergunakan sjarat tambahan bahwa pada variasi Î± pada setiap interval hingga adalah kompak.Ternjata bahwa kedua sjarat di atas dapat diperlunak mendjadi sjarat bahwa variasi Î± pada setiap interval jang hingga harus kompak dalam topologi lemah dari X.Lagipula, rumus inverse akan berlaku tanpa syarat untuk Î± , asal ruang X adalah lengkap-lemah, chususnya bila X refleksif. Hasil ini kami dasarkan atas karya Bartle, Dunford, dan Schwartz.

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