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Pembentukkan Dan Sifat-Sifat Lattice Kongruen Pada Semigrup Mayasari, Zulfia Memi
GRADIEN : Jurnal Ilmiah MIPA Vol 1, No 2 (2005): (Juli 2005)
Publisher : Universitas Bengkulu

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Abstract

Misalkan (S,o) semigrup dan ? relasi ekuivalen pada S. Relasi ekuivalen ? pada semigrup S dikatakan kongruen jika (?s,t, a? S) dan s ? t maka sa ? ta dan as ? at. Jika semua kongruen pada S dihimpun dan dinotasikan dengan K(S) kemudian pada K(S) diberikan dua operasi biner ? dan ? maka (K(S); ? , ?) membentuk lattice, yang disebut lattice kongruen pada semigrup. Dalam tulisan ini akan dibahas karakteristikoperasi biner ? dan ?, sehingga (K(S); ? , ?), membentuk lattice serta sifat-sifat lattice kongruen pada semigrup.   
Linierisasi Matriks Polynomial Mayasari, Zulfia Memi
GRADIEN : Jurnal Ilmiah MIPA Vol 2, No 2 (2006): (Juli 2006)
Publisher : Universitas Bengkulu

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Abstract

Abstrak - Penelitian ini bertujuan untuk mengkaji linierisasi matriks polynomial monik Linerisasi matriks polynomial monik L(?) adalah mencari matriks polynomial linier yang ekuivalen dengan suatu matriks polynomial. Dalam menganalisis masalah linerisasi matriks polynomial monik yaitu dengan cara mengubah ? ? = += 1 0 ( ) l l j jAjIL ??? dimana A0, A1,…,Aj adalah matriks-matriks berukuran n x n menjadi bentuk linier AIL ?= ?(?) sehingga AI? ? ekuivalen dengan ?? ? ?? ? I L 0 0(? ) .         
Penyelesaian Persamaan Differensial Dengan Menggunakan Matriks Polynomial Mayasari, Zulfia Memi
GRADIEN : Jurnal Ilmiah MIPA Vol 4, No 2 (2008): (Juli 2008)
Publisher : Universitas Bengkulu

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Abstract

   
The Run up Tsunami Modeling in Bengkulu using the Spatial Interpolation of Kriging Technique Fauzi, Yulian; Suwarsono, Suwarsono; Mayasari, Zulfia Memi
Forum Geografi Vol 28, No 2 (2014)
Publisher : Forum Geografi

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Abstract

This research aims to design a tsunami hazard zone with the scenario of tsunami run-up height variation based on land use, slope and distance from the shoreline. The method used in this research is spatial modelling with GIS via Ordinary Kriging interpolation technique. Kriging interpolation method that is the best in this study is shown by Circular Kriging method with good semivariogram and RMSE values which are small compared to other RMSE kriging methods. The results shows that the area affected by the tsunami inundation run-up height, slope and land use. In the run-up to 30 meters, flooded areas are about 3,148.99 hectares or 20.7% of the total area of the city of Bengkulu.
The Run up Tsunami Modeling in Bengkulu using the Spatial Interpolation of Kriging Technique Mayasari, Zulfia Memi; Fauzi, Yulian; Suwarsono, Suwarsono
Forum Geografi Vol 28, No 2 (2014): December 2014
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/forgeo.v28i2.427

Abstract

This research aims to design a tsunami hazard zone with the scenario of tsunami run-up height variation based on land use, slope and distance from the shoreline. The method used in this research is spatial modelling with GIS via Ordinary Kriging interpolation technique. Kriging interpolation method that is the best in this study is shown by Circular Kriging method with good semivariogram and RMSE values which are small compared to other RMSE kriging methods. The results shows that the area affected by the tsunami inundation run-up height, slope and land use. In the run-up to 30 meters, flooded areas are about 3,148.99 hectares or 20.7% of the total area of the city of Bengkulu.
Analisis Kesesuaian Lahan Wilayah Pesisir Kota Bengkulu melalui Perancangan Model Spasial dan Sistem Informasi Geografis (SIG) Fauzi, Yulian; Susilo, Boko; Mayasari, Zulfia Memi
Forum Geografi Vol 23, No 2 (2009): December 2009
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/forgeo.v23i2.5002

Abstract

This research is aimed to alocate land management and use coastal and ocean area Sub-Province base on digital through Geographical Information System (GIS). This research was done in the coastal area Kota Bengkulu, through spatial alocate analysis and land suitability analysis for brackish water fish ponds, maritime tourism and conservation areas. Approach used in this research is spatial analysis to parameter/variable and land suitability criteria consist of element abiotik, biotik, culture, and spatial use (RTRW). Land suitability analysis is done by using SIG through overlay technique. Result of research indicate that from 7 sub district of coastal area of exist in Kota Bengkulu, land suitability (S1) for brackish water fish ponds are found in sub-district Muara Bangkahulu and Kampung Melayu. Land suitability (S1) for the maritime tourism are found in sub-district Teluk Segara and Ratu Samban, while Land suitability (S1) for conservation area of are found in sub-district Kampung Melayu.
Kajian Solusi Numerik Metode Runge-Kutta Nystrom Orde Empat Dalam Menyelesaikan Persamaan Diferensial Linier Homogen Orde Dua Mayasari, Zulfia Memi; Fauzi, Yulian; Putri Jelita, Cici Ratna
GRADIEN : Jurnal Ilmiah MIPA Vol 12, No 2 (2016): (Juli 2016)
Publisher : Universitas Bengkulu

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Abstract

Dalam matematika seringkali ditemui permasalahan yang tidak dapat diselesaikan secara analitik, sehingga dibutuhkan penyelesaian secara numerik. Salah satu permasalahan yang seringkali membutuhkan penyelesaian secara numerik adalah permasalahan yang terdapat dalam persamaan diferensial biasa dengan metode Runge-Kutta sehingga metode ini terus dikembangkan. Beberapa pengembangan dari metode ini adalah metode Improved Runge-Kutta Nystrom (IRKN) dan Accelerated Runge-Kutta Nystrom (ARKN). Dalam tulisan ini dibahas penyelesaian persamaan diferensial linier homogen orde dua dengan metode Improved Runge-Kutta Nystrom (IRKN) dan Accelerated Runge-Kutta Nystrom (ARKN) orde empat. Hasil penelitian menunjukkan bahwa solusi dari persamaan diferensial linier homogen orde dua dengan metode IRKN orde empat lebih akurat dibandingkan metode ARKN orde empat.Kata Kunci: Persamaan diferensial linier homogen, Improved Runge-Kutta Nystrom (IRKN), Accelerated Runge-Kutta Nystrom (ARKN)
Teorema-Teorema Utama Isomorphisma pada Near-Ring Mayasari, Zulfia Memi; Fauzi, Yulian; Rafflesia, Ulfasari
GRADIEN : Jurnal Ilmiah MIPA Vol 11, No 2 (2015): (Juli 2015)
Publisher : Universitas Bengkulu

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Abstract

Near-ring merupakan pengembangan dari teori ring. Suatu himpunan tak kosong N yang dilengkapi dengan duaoperasi biner ?+? dan ?•? dan ditulis sebagai (N,+,•) dikatakan near-ring jika memenuhi (i). (N,+) grup (ii). (N,•) semigrup dan (iii). N terhadap kedua operasi tersebut bersifat distributif kiri atau distributif kanan. Jika (N1,+,•) dan (N2,+?,•?) near-ring dan terdapat fungsi bijektif f dari N1 ke N2 yang memenuhi (i). f(a+b)= f(a)+?f(b) dan f(a•b)=f(a)•? f(b) (?a,b?N1) maka f dikatakan isomorphisma near-ring. Tulisan ini membahas teorema-teorema utama isomorphisma ring yang berlaku pada near-ring. Metode yang digunakan dalam pembuktian adalah metode pembuktian langsung. Hasil penelitian menunjukkan teorema utama isomorphisma ring juga berlaku pada near-ring.Kata Kunci: near-ring, ring, homomorphisma, bijektif
The Run up Tsunami Modeling in Bengkulu using the Spatial Interpolation of Kriging Technique Yulian Fauzi; Suwarsono Suwarsono; Zulfia Memi Mayasari
Forum Geografi Vol 28, No 2 (2014): December 2014
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/forgeo.v28i2.427

Abstract

This research aims to design a tsunami hazard zone with the scenario of tsunami run-up height variation based on land use, slope and distance from the shoreline. The method used in this research is spatial modelling with GIS via Ordinary Kriging interpolation technique. Kriging interpolation method that is the best in this study is shown by Circular Kriging method with good semivariogram and RMSE values which are small compared to other RMSE kriging methods. The results shows that the area affected by the tsunami inundation run-up height, slope and land use. In the run-up to 30 meters, flooded areas are about 3,148.99 hectares or 20.7% of the total area of the city of Bengkulu.
Analisis Kesesuaian Lahan Wilayah Pesisir Kota Bengkulu melalui Perancangan Model Spasial dan Sistem Informasi Geografis (SIG) Yulian Fauzi; Boko Susilo; Zulfia Memi Mayasari
Forum Geografi Vol 23, No 2 (2009): December 2009
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/forgeo.v23i2.5002

Abstract

This research is aimed to alocate land management and use coastal and ocean area Sub-Province base on digital through Geographical Information System (GIS). This research was done in the coastal area Kota Bengkulu, through spatial alocate analysis and land suitability analysis for brackish water fish ponds, maritime tourism and conservation areas. Approach used in this research is spatial analysis to parameter/variable and land suitability criteria consist of element abiotik, biotik, culture, and spatial use (RTRW). Land suitability analysis is done by using SIG through overlay technique. Result of research indicate that from 7 sub district of coastal area of exist in Kota Bengkulu, land suitability (S1) for brackish water fish ponds are found in sub-district Muara Bangkahulu and Kampung Melayu. Land suitability (S1) for the maritime tourism are found in sub-district Teluk Segara and Ratu Samban, while Land suitability (S1) for conservation area of are found in sub-district Kampung Melayu.