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.
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Judul: Kuadrat di Z/mZ
Abstrak: Misal a, me Z, (a, m) = 1, m> 3. Masalah menentukan apakah kongruensi x² = a(mod m) terselesai- kan (memiliki solusi) atau tidak adalah masalah masalah klasik yang cukup terkenal dalam teori bilangan. Masalah ini dapat diselesaikan dengan apa yang disebut hukum kebalikan kuadrat (quadratic reciproci- ty law) yang mengatakan bahwa kongruensi x²= p(mod q) dan x²= q(mod p) keduanya terselesaikan atau keduanya tidak terselesaikan jika dan hanya jika satu dari p atau q kongruen 1 modulo 4. Inti utama dari tulisn ini adalah membuktikan hukum kebalikan kuadrat (HKK) dan menggunakannya untuk menentukan keterselesaian dari kongruensi x2 = a(mod m). Hingga saat ini telah diketahui 193 bukti yang berbeda untuk HKK dan sebahagian besar dari bukti-bukti itu menggunakan apa yang disebut dengan Lemma Gauss. Dalam tulisan, HKK juga dibuktikan dengan menggunakan Lemma Gauss; per- bedaannya terletak pada metode-metode yang digunakan untuk membuktikan Lemma Gauss itu sendiri.
Keyword: Kuadrat  Z/mZ, FBF, KPK, fungsi mobius, struktur

Judul: Kandungan Mineral Kalakai (Stenochlaena Palustris) yang Tumbuh pada Jenis Tanah Berbeda serta Dimasak dengan Cara Berbeda
Abstrak: Kalakai (Stenochlaena palustris) is one of the local vegetables commonly available in the Palangkaraya. Previous research states that kalakai has a relatively high content of nutrients like beta carotene, folic acid, as well as some important minerals. Local communities (Dayak people) in Central Kalimantan and surrounding used to consume kalakai, especially mothers after child-birth.Kalakai has been recognized as an important vegetable to boost milk supplies for mothers who are breast-feeding. Kalakai was unique, because it can grow on various soil types, even on nutrient-poor soil. Therefore, this research aims to determine the effect of different types of soil on the mineral content of kalakai, and influence of processing on the mineral content. The sampling was conducted at five sites with different soil. They are peaty soil, sulphate acid soils, quartz sand soil, and alluvial soil in January and February. All of the samples were given four different treatments, boiling, frying, steaming and fresh (no treatment). Samples were analyzed moisture, ash, and minerals. Analysis of mineral content using Atomic Absorption Spectrophotometer (AAS) Perkin Elmer 1100B. The type of soil affect the content of minerals in the tip of kalakai leaf. It which grown on peaty soil containing a rather high of mineral Mg, Ca, Zn, Mn, which continuously reach to 5160, 6399, 134.6, 158 ppm, while Fe, Cu, and Al with a low successive level of 117.2, 4.5, 20.5 ppm. The pH of peaty soil in this study was 6.08, allegedly still quite a lot of minerals which can be absorbed by plants. Kalakai which grown on acid-suphate soil contains high Fe and Al i.e. 336.4 and 76.4 ppm. The high micro-mineral Al and Fe in acid-sulphate soils due to soil pH is low. Kalakai grown on quartz sand soil containing high minerals Ca, Cu, and Al, namely 6299, 25.1, and 58.1 ppm, respectively, while other minerals such as Mg, Fe, Zn, and Mn were low, it implies in the amount of 4598, 65, 86.8, and 65.9 ppm, respectively. Kalakai grown on alluvial soil is found that the content of Cu quite high, i.e. 7.26 ppm, whereas Fe, Mn, and Al content were low respectively 52, 63.4, and 5.3 ppm. Relatively low mineral content on kalakai of quartz sand and alluvial soil allegedly because of the low element nutrients contained in these soil types. Results of analysis of total mineral or ash content in various ways of cooking show that kalakai has a different total mineral content. Total minerals from the lowest to the highest were kalakai cooked by boiling, frying, steaming and fresh or without treatment of cooking. Cooking process give an effect to mineral content of kalakai. The process of boiling is the highest role in decreasing Mg (21-68%), Cu (11-60%), Ca (39%) and Mn (8- 38%). Other minerals such as Zn and Fe decreased by frying in the amount of 14-37% and 9-43%, respectively. The whole minerals, except Cu, still in the recommended daily intake limit, if assumed that one portion of kalakai is 50 gram dry basis.
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