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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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Adaptive Algorithm for Virtual Connection on Feedback-Based Flow Control in WAN-ATM Network F. Ahmadi Djajasugita; Rendy Munadi
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 2 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Algoritma pengendalian aliran yang bersifat adaptif dapat diterapkan pada jaringan ATM wilayah luas guna mengalokasikan kebutuhan lebar pita pada hubungan virtual. Pengendalian aliaran menggunakan mekanisme control lup tertutup, yaitu suatu mekanisme kontrol yang bersifat reaktif dan secara dinamis, mengatur kecepatan transmisi sel yang diizinkan untuk setiap hubungan virtual dengan menggunakan informasi umpan balik dari jaringan. Informasi umpan balik berupa bit yang dapat mengidentifikasi apakah panjang antrian di buffer berada di atas atau di bawah batas ambang yang diberikan. Dengan bit indikasi ini kecepatan sumber pengiriman dapat dikendalikan. Penelitian yang telah dilakukan sebelumnya terbatas pada jumlah hubungan sebanyak 24VC dan kecepatan transmisi 155 Mbps dengan batas ambang buffer 6.5 sel. Karena itu, dilakukan penelitian jika jumlah hubungan bertambah hingga 100 VC dan kecepatan transmisi 600 Mbps dengan batas ambang buffer dalam rentang yang lebar. Hasil simulasi algoritma adaptif menunjukkan bahwa dengan menggunakan kriteria kestabilan terhadap hubungan virtual tunggal akan diketahui rentang penggunaan parameter rasio penguatan terhadap peredaman yang tepat sehingga untuk hubungan virtual banyak akan lebih mudah ditunjukkan sifat keadilan terhadap setiap hubungan. Sifat kekokohan ditunjukkan melalui simulasi, yaitu dengan menambah jumlah hubungan yang mungkin dapat dilayani. Dari respon kecepatan aggregate terlihat bahwa terjadi penurunan pemanfaatan lebar pita jaringan (<90%). Keadaan ini dapat diatasi dengan memperbesar kecepatan transmisi, menambah waktu update, dan menambah panjang ambang batas antrian di buffer. Adaptive Algorithm for Virtual Connection on Feedback-Based Flow Control in WAN-ATM NetworkAdaptive flow control Algorithm can be applied into wide area ATM network to allocate lebar pita to virtual connection. Flow control uses closed loop control mechanism, i.e, a reactive control mechanism which dynamically controls permissible transmission speed for any virtual connection by using feedback information of the network. Information of the network is in the form of bit that can identify whether a queue length in buffer is above or below a given threshold. By this indication bit the source of cell sending can be controlled. The earlier investigation was limited to 24 VC connection and in 155 Mbps transmission speed with 6.5 cells buffer threshold. Considering that it was not enough, a further investigation was carried out with increasing connection up to 100 VC, 600 Mbps transmission speed, and buffer threshold in a wide range. Adaptive algorithm simulation results showed that by using stability criterion on single virtual connection we found the range of gain ratio parameter used on proper damping, hence, fairness can be made easier in multiple virtual connections. There are two parameters - each is important for every virtual connection, i.e minimum bandwith parameter and weight factor to gain bandwith share that provided by the network. Proper selection on the two parameters gives different service. Aggregate speed response showed that there is degradation of network bandwith use (<90%). This situation can be overcome by increasing the transmission speed, lengthening update time, and enlarging the buffer threshold.
Optimisation of Image Interpretability and Geometric Accuracy of Airborne Videography Irawan Sumarto
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 2 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Airborne video images which have several advantages over satellite images and aerial photographs were captured over some selected areas. After they were refined to increase their interpretability, the images were assessed in accordance with the existing map accuracy specifications. Four algorithms of image refinement were tested. These include projective, row duplication, row interpolation and statistical correlation function. Numerous test points were selected on the image and their coordinates were compared to their ground positions. The results suggest that a solid-state video camera can provide images that are sufficiently accurate for medium-scale topographic mapping.Ketelitian Geometrik dan Optimalisasi Tingkat Ketajaman Citra VideoCitra video, yang mempunyai beberapa keuntungan dibandingkan dengan citra satelit dan foto udara, diperoleh dari hasil penerbangan di atas suatu daerah. Setelah citra tersebut direstorasi untuk meningkatkan tingkat ketajamannya, dilakukan proses fotogrametri untuk mengevaluasi tingkat ketelitian geometriknya. Restorasi citra dilakukan secara digital dengan empat macam teknik, yaitu projektif, interpolasi baris, duplikasi baris, dan kolerasi statistic. Evaluasi keteletian geometrik dilakukan dengan membandingkan koordinat sejumlah titik yang diamati pada citra video dengan posisi seharusnya di lapangan. Hasil pengujian mengindikasikan bahwa kamera video dapat digunakan pada pemotretan udara bagi keperluan pemetaan topografi skala menengah.
Three Flavan-3-ols from Artocarpus reticulates Sjamsul Arifin Achmad; Murniana Murniana; Silvester Sigit Udjiana; Euis Holisotan Hakim; Lukman Makmur; Norio Aimi
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 2 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Tiga senyawa turunan flavan-3-ol, yakni afzelekin-3-O-a-L-ramnosida (1), katekin (2), dan afzelekin (3), telah ditemukan pada kulit batang dan kulit akar tumbuhan Artocarpus reticulatus Miq. (Moraceae), suatu tumbuhan langka yang berasal dari Sulawesi dan endemik untuk Indonesia, serta dikenal dengan nama daerah maumbi. Struktur molekul ketiga senyawa tersebut telah ditetapkan berdasarkan data fisika dan spektroskopi. Three Flavan-3-ols from Artocarpus reticulatesThree flavan-3-ol derivatives, namely afzelechin-3-O-α-L-rhamnoside (1), catechin (2) and afzelechin (3), were isolated from the tree and the root barks of Artocarpus reticulaltus Miq. (Moraceae), a rare species found in Sulawesi and endemic to lndonesia, locally known as maumbi. The structures of all these compounds were elucidated based on physical and spectroscopic data.
Artocarpin ad Heteroflavanone-A, Two Bioactive Flavonoids from Artocarpus champeden Euis Holisotan Hakim; Emilia Evi Marlina; Didin Mujahidin; Sjamsul Arifin Achmad; Lukman Makmur; Emilio L. Ghisalberti
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 1 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Suatu senyawa flavon terisoprenilasi, yaitu 3-(y,y-dimetilalil)-6-(3-metil-1-butenil)-7-metoksi-5,2, 4-trihidroksiflavon atau artokarpin (1), bersama-sama dengan suatu senyawa flavanone langka, yakni 5-hidroksi-7,2,4,6-tetrametoksiflavanon atau heteroflavanon-A (2); telah ditemukan masing-masing pada kayu dan kulit batang tumbuhan Artocarpus champeden Spreng (Moraceae), suatu tumbuhan pangan yang endemik untuk Indonesia dan dikenal dengan nama cempedak. Struktur molekul kedua senyawa tersebut telah ditetapkan berdasarkan data fisika dan spektroskopi. Kedua senyawa flavonoid ini menghambat transportasi asam amino leusin melalui membran usus ulat sutera Bombyx mori, sedangkan artokarpin (1) juga menunjukkan toksisitas yang tinggi terhadap udang Artemia salina. Artocarpin ad Heteroflavanone-A, Two Bioactive Flavonoids from Artocarpus champedenAn isoprenylated flavone, 3-(γ,γ-dimethylallyl)-6-(3-methyl-1-butenyl)-7-methoxy-5,2',4'-trihydroxyflavone or artocarpin (1), together with rare flavanone derivative, 5-hydroxy-7,2',4',6'-tetramethoxyflavanone or heteroflavanone-A (2) were isolated from the wood and the tree bark of Arocarpus champeden Spreng (Moraceae), an endemic plant of Indonesia, locally known as cempedak. The structures of both compounds were elucidated based on physical and spectroscopic data. Both flavonoids inhibited the amino acid transport in Bombyx mori midgut, while artocarpin (1) also showed high toxicity against Artemia solina shrimp.
A Unifying Concept of X Chart and X-Bar Chart when Subgroup Sizes are Equal Maman A. Djauhari
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 1 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

X chart and X-bar chart are usually seen as two techniques in SPC with different concepts. In this paper we propose two propositions as a unifying concept for those two charts; one for start-up stage and the other for process control for future observations. Another advantage of this concept lies in the determination of control limits which is not based on approximation method anymore. An exact method will be introduced. Konsep untuk Bagan Kendali X dan Bagan Kendali X-Bar Bila Ukuran Subgrupnya SamaBagan Kendali X dan bagan kendali X-Bar biasanya dipandang sebagai dua teknik Pengendalian Proses Statistik yang memiliki konsep yang berbeda. Dalam tulisan ini kami usulkan dua buah proposisi yang memungkinkan memandang kedua bagan kendali itu dari satu konsep yang sama. Proposisi pertama adalah untuk tahap awal pembuatan bahan kendali (start-up stage) dan yang lain untuk pengendalian proses melalui metode pendekatan seperti yang biasa dikemukakan dalam berbagai pustaka tentang pengendalian proses. Metode eksak akan diperkenalkan.
The Effects of Tropospheric Bias on Deformation Monitoring of MT. Guntur using GPS Survey Method Hasanuddin Z. Abidin; O. Yolanda; I. Meilano; M.A. Kusuma; D. Muhardi; B. Setyadi; J. Kahar; O.K. Suganda; R. Sukhyar; T. Tanaka
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 1 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Pemantauan deformasi gunung api yang andal menuntut ketelitian yang tinggi, yaitu sampai level keteliatian mm untuk kasus gunung api yang tengah 'bangkit' kembali. Konsekuensinya adalah kesalahan dan bias yang dapat mengurangi ketelitian dalam penentuan posisi dengan satelit GPS harus dieliminasi dana tau direduksi, seperti kesalahan yang disebabkan oleh bias troposfer. Pada kasus pemantauan deformasi gunung api dengan metode survei GPS, karena adanya perbedaan tinggi yang cukup besar dan variatif antara titik-titik dalam jaringan, maka efek kesalahan bias troposfer tidak sepenuhnya dapat direduksi dengan proses pengurangan data (differencing). Residu (sisa) bias troposter ini harus dikoreksi agar tingkat keteliatian yang dituntut oleh sistem pemantauan deformasi gunung api dapat tetap tercapai. Pada makalah ini akan dibahas efek bias troposfer pada pemantauan deformasi gunung api. Pembahasan didasarkan pada hasil yang diperoleh dari pemantauan deformasi G. Guntur (Garut, Jawa Barat) dengan metode survei GPS. The Effects of Tropospheric Bias on Deformation Monitoring of MT. Guntur using GPS Survey MethodA reliable volcano deformation monitoring requires a high positioning accuracy, i.e. up to mm level in the case of reawakening volcanoes. As a consequence of this requirement, the errors and biases affecting the GPS positioning accuracy has to be eliminated or reduced, which one of them is the tropospheric bias. In the case of volcano deformation monitoring using the GPS survey method, due to a relatively large altitude variation in the stations altitude, the effects of tropospheric bias could not be effectively reduced by the differencing process. In order to meet the accuracy requirement of volcano deformation monitoring system, this residual tropospheric bias, therefore, has to be somehow corrected or taken into account. In this paper, the effects of tropospheric bias on the volcano deformation monitoring will be discussed. The discussion is based on the results from the deformation monitoring of Guntur volcano in Garut, West Java, by using repeated GPS surveys.
On Size Bipartite and Tripartite Ramsey Numbers for The Star Forest and Path on 3 Vertices Anie Lusiani; Edy Tri Baskoro; Suhadi Wido Saputro
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.1.1

Abstract

For simple graphs G and H the size multipartite Ramsey number mj(G,H) is the smallest natural number t such that any arbitrary red-blue coloring on the edges of Kjxt contains a red G or a blue H as a subgraph. We studied the size tripartite Ramsey numbers m3(G,H) where G=mK1,n and H=P3. In this paper, we generalize this result. We determine m3(G,H) where G is a star forest, namely a disjoint union of heterogeneous stars, and H=P3. Moreover, we also determine m2(G,H) for this pair of graphs G and H.
Structure and Development of Laticifers in Embryos and Seedlings of Artocarpus heterophyllus Lam. Tatang S. Suradinata
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 1 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Pada Artocarpus heterophyllus, pemula latisifer dibentuk dalam embrio pada awal perkembangan kotiledon. Pemula latisifier tersebut terdapat di tepi luar prokambium di daerah nodus kotiledon. Vesikula dalam berbagai ukuran merupakan komponen yang paling jelas dalam pemula latisifier tersebut. Selanjutnya pemula latisifier memanjang dan tumbuh secara intrusive sejajar dengan sumbu embrio kea rah radikula dan kotiledon. Dalam latisifier terjadi pembelahan inti tanpa diikuti sitokinesis, menghasilkan protoplas embrio kea rah radikula dan kotiledon. Dalam latisifer terjadi pembelahan inti tanpa diikutin sitokinesis, menghasilkan protoplas berinti banyak. Latisifer bercabang ke arah korteks dan empulur. Lateks dibentuk di dalam sitoplasma dan disimpan di dalam vakuola. Struktur latisifer adalah tak beruas dan bercabang. Tidak terjadi anastomosis di antara sel-sel latisifer yang letaknya berdekatan. Plasmodesmata jarang ditemukan pada dinding sel latisifer. Structure and Development of Laticifers in Embryos and Seedlings of Artocarpus heterophyllus Lam.In Artocarpus heterophyllus, laticifer initials are formed in the embryo at the beginning of the development of the cotyledons. The laticifer initials are located at the outer periphery of the procambium at the cotvledonary node. Vesicles of various sizes are the most conspicuous components in the laticifer initial. At subsequent growth, laticifer initials elongate parallel to the axis of the embryo and then grow intrusively towards the radicula and cotyledons. Nuclear division is not followed by cytokinesis and therefore a multinucleate protoplast is produced. The laticifers branch towards the cortex and the pith. Latex was built in the cytoplasm and stored in the vacuole. The structure of the laticifer are non-articulated and branched. No anastomosis occurs between adjacent laticifer cells. Plasmodesmata are rarely seen in the laticifer walls.
A Note on Almost Moore Diagraphs of Degree Three Edy Tri Baskoro; Mirka Miller; Josef Siran
Journal of Mathematical and Fundamental Sciences Vol. 30 No. 1 (1998)
Publisher : Institute for Research and Community Services (LPPM) ITB

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It is well known that Moore digraphs do not exist except for trivial cases (degree 1 or diameter 1), but there are digraphs of diameter two and arbitrary degree which miss the Moore bound by one. No examples of such digraphs of diameter at least three are known, although several necessary conditions for their existence have been obtained. A particularly interesting necessary condition for the existence of a digraph of degree three and diameter k > 3 of order one less than the Moore bound is that the number of its arcs be divisible by k + 1. In this paper we derive a new necessary condition (in terms of cycles of the so-called repeat permutation) for the existence of such digraphs of degree three. As a consequence we obtain that a digraph of degree three and diameter k ≥ 3 which misses the Moore bound by one cannot be a Cayley digraph of an Abelian group. Catatan Untuk Keberadaan Graf Berarah Hampir Moore Derajat 3Telah lama diketahui bahwa tidak ada graf berarah dengan orde (jumlah titiknya) sama dengan batas Moore, kecuali untuk kasus-kasus trivial, yakni untuk derajat 1 atau diameter 1; tetapi, ada graf berarah dengan diameter 2 untuk sebarang derajat dengan orde satu lebih kecil dari batas Moore. Hingga kini belum dapat ditunjukkan adanya contoh graf berarah yang sejenis dengan diameter paling sedikit 3, walaupun beberapa syarat perlu akan keberadaannya telah diberikan. Salah satu syarat perlu yang cukup menarik untuk keberadaan graf berarah dengan derajat 3, diameter k > atau = 3 dan orde satu lebih kecil dari batas Moore adalah bahwa jumlah busur yang dimilikinya harus dapat dibagi oleh bilangan k+1.
A Necessary and Sufficient Condition for the Uniqueness of Minimum Spanning Tree Maman A. Djauhari
Journal of Mathematical and Fundamental Sciences Vol. 29 No. 1/2 (1996)
Publisher : Institute for Research and Community Services (LPPM) ITB

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We develop a fundamental property of min-max transitive closure of a dissimilarity, considered as a fuzzry relation, in connection with its subdominant ultrametric. This will enable us firstly to derive a necessary and sufficient condition for the uniqueness of its minimum spanning tree, and secondly to find all possible local minima.Dengan menggunakan relasi samar sebagai sudut pandang, dalam tulisan ini dikembangkan suatu sifat fundamental dari penutup transitif min-maks suatu disimilaritas, dalam hubungannya dengan ultrametrik sub-dominan. Sifat tersebut memungkinkan kita merumuskan dan membuktikan suatu syarat cukup dan perlu agar suatu disimilaritas memiliki pohon kerangka minimum yang tunggal. Apabila tidak tunggal, sifat itu dapat menjadi landasan untuk menentukan semua pohon kerangka minimum lokal. 

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