Judul: Pemodelan spasial untuk penentuan lokasi instalasi pengolahan air limbah (ipal) batik di Kota Pekalongan, Jawa Tengah
Abstrak: Pekalongan located at North Java Beach in 6°50’44’’S and 109°37’55’’E, 6°55’44’’ S and -109°42’19’’ E. In 2011, population density of Pekalongan was 7,027 individu/km2 and 76% of the societies work in industrial sector with 69.5% of them work in industrial batik sectors. The total of industries in 2011 was 2,916 unit (small and medium industrial scale). The 99.8% of industries in Pekalongan are dominated by small scale industries with 83.1% of them were batik industries. In Pekalongan, it is only 0.6% of all textile industries which have wastewater treatment plants and the others textile industries disposed their wastewater into water bodies directly. For solving that problems, in 2003, The government of Pekalongan built the batik wastewater treatment plant in Jenggot and in 2009, it is continued build the batik wastewater treatment plant in Kauman. However, the locations and the capacities of the wastewater treatment plants could not handle the debit of wastewater from whole district in Pekalongan. Based on the reason, this research aimed to determine the best location of batik wastewater treatment plant by building a model using ArcObject. The specific objective of this research consist of indentified the impact of batik wastewater to water bodies qualities, determined the criteria of batik wastewater treatment, arrange the criteria of batik wastewater treatment using analytical hierarchy process, built a model to determine the best location of batik wastewater treatment plant and determined some the best location of batik wastewater treatment in Pekalongan. This research informed that the environmental problems due to batik wastewater in Pekalongan affected the water bodies quality. There are some water quality parameters were not comply to the The Government Regulations No. 82/2001. It implied to the increase of sedimentation, blooming algae, decrease of turbidity and the death of terestrial water biota. Based on literature study, the criteria of batik wastewater treatment consist of technical criteria, social, economy and environment. By using the AHP method, this research found that the priorities of wastewater are environmental load, wastewater debit, poppulation density, education, energy and economy. Whole procedures of determine the location for batik waste water treatment plant were resumed as a model using ArcObject. Based on the output of the program and analysis result, the result of the research recommended six location for batik wastewater treatment plant in Pekalongan. They are Jenggot, Kauman, Tirto, Pabean, Landungsari and Degayu district.
Keyword: Batik, Batik wastewater, Batik Wastewater Treatment Plant, Spatial modelling

Judul: Impact Analysis and Strategies to Control Batik Wastewater Pollution Impact in Pekalongan River, Central Java.
Abstrak: Batik adalah kekayaan budaya, jatidiri, dan identitas bangsa Indonesia. Industri batik menghasilkan limbah cair yang sangat besar dan kompleks. Limbah batik biasanya langsung dibuang ke saluran pembuangan dan terakumulasi di sungai. Sungai Pekalongan adalah salah satu sungai di Pekalongan yang mendapatkan beban pencemaran limbah batik. Penelitian ini bertujuan menentukan status pencemaran air Sungai Pekalongan, menganalisis pengaruh pencemaran limbah batik terhadap komunitas makrobenthos di Sungai Pekalongan dan merumuskan strategi pengendalian pencemaran limbah batik di Sungai Pekalongan. Penelitian ini dilaksanakan pada bulan Januari sampai Maret 2015 di Sungai Pekalongan, Provinsi Jawa Tengah. Penelitian ini menggunakan metode survei pada lima stasiun pengamatan, Batik is a cultural wealth and identity of Indonesia. Batik industries produce a huge and complex wastewater. Batik wastewater is usually directly discharged to sewers and accumulated in the river. Pekalongan River is one of the rivers in Pekalongan that get a load of batik wastewater pollution. The aim of this study is to determine the status of water pollution in Pekalongan River, to analyze the influence of batik wastewater pollution to macrobenthic community in Pekalongan River and to formulate strategies to control batik wastewater pollution in Pekalongan River. The research was conducted from January to March 2015 in Pekalongan River, Central Java Province. This study used a survey method of five observation stations.
Keyword: Batik Wastewater Pollution, Pekalongan River

Judul: Grup dan Homomorfisma Grup pada Rubik Revenge
Abstrak: Rubik cube is a kind of puzzle game. A player must arrange rubik sides, which have been disordered, back to the position where every side has the same colour. This paper does not focus on the settlement solution, but instead on proving the existence of a group homomorphism between rubik movement group and S96 symmetric permutation group in rubik revenge. Firstly, it has been proved that rubik movement set is a group. Then, it also has been proved that the M set, which contains numeric labels of 1 until 96 in cubinos sides, is S96 symmetric permutation group.
Keyword: