Compact posets and ramifiability of large cardinals

The main topics of this dissertation are devoted to the study of the partially ordered sets (posets, for short) by using the various consequences of the properties of their order structure in the study of topological spaces and large cardinals;In Section 2, we consider the existence of prime ideals as well as ultrafilters of posets, which play an essential role in the possibility of their embedding into posets in which the order relation is the set-theoretical inclusion. As an application of the results obtained in this Section, we introduce the notion of a subbase S of a poset P and derive some corresponding consequences;In Sections 3 and 4, a key Theorem and a novel technique of transfinite inductive proof are introduced for establishing directly the Tower and Complete Accumulation Point compactness of products of compact topological spaces;The Tower compactness of a topological space T is then proven to be equivalent to the A-inductivity of the poset of all proper open sets of T;In Section 5, coordinatewise construction of complete accumulation points of the countable infinite product of the real unit interval I is given. The results are used in establishing the solvability of infinite systems of linear equations each with at most a countable (finite or infinite) number of unknowns. The existence of a solution of such systems of linear equations over the reals is proved based on the compactness of the product topology and under the assumption that finite subsystem have uniformly bounded solutions;In Section 6, we introduce the concept of Receding sequences of ordinals which serves as the basic motivation for the partition properties of infinite cardinals which in turn lead to the notion of the ramifiablity of infinite cardinals;In Section 7, we consider the question of the existence of ramifiable cardinals and various properties which characterizes them;The existence of a C AC-ramifiable cardinal can be shown in ZFC + MA + ¬CH (where MA is the Martin\u27s axiom). This fact is proved in Section 7 in a rather simple way;In the absence of Martin\u27s axiom, however, a useful characterization of ramifiable cardinals can be derived. To this end in Section 7, we have introduced a special lexicographic order on a Hausdorff cardinal [alpha] which implies that [alpha] is ramifiable. On the other hand, the introduction of a special tree in Section 7 implies the converse provided [alpha] is strongly inaccessible

Pengaruh Treatment Air terhadap Kualitas Air di Desa Balesari Kecamatan Windusari Kabupaten Magelang

Air merupakan sumber daya yang dapat diperbaharui dan untuk memenuhi kebutuhan manusia memerlukan air yang berkualitas, sementara itu kualitas air tanah dipengaruhi oleh sistem akifer dalam tanah. Secara kualitas air permukaan kurang baik bagi kesehatan, sedangkan kualitas air tanah lebih baik. Untuk konsumsi air bersih manusia harus ikuti Permenkes Nomor 416/MENKES/IX/1990 sebagai acuan untuk memenuhi syarat sehat. Masyarakat BalesariWindusari, Magelang mengkonsumsi air dari mata air Gendol dan Jambean, yang kualitas air mata air Gendol terdapat parameter Selenium melebihi ambang batas. Kelebihan kadar selenium bila dikonsumsi manusia menyebabkan mual, muntah, rambut kuku rontok, ruam di kulit dan kerusakan saraf, maka perlu dikaji upaya menurunkan kadar selenium. Berdasarkan kajian terdahulu bahwa metode saringan dapat menurunkan kadar selenium dan dengan memanaskan air diharapkan dapat menurunkan kadar selenium dalam air. Metode menurunkan kadar selenium dengan sampel dari pemanasan air pada suhu 80oC, 90oC, 100oC. Cara lain dengan cara air dilewatkan media saringan pasir, kerikil dan karbon aktif dengan 3 variasi tebal untuk tiap media filter sehingga tebal total 90 cm. tebal 1: kerikil 30 cm, pasir 30 cm, karbon aktif 30 cm, tebal 2: kerikil 30 cm, 35 cm, karbon aktif 25 cm dan tebal 3: kerikil 30 cm, pasir 40cm, karbon aktif 20 cm. Hasil kadar Se dari pemanasan 80oC = rata-rata 0,017 mg/lt, pemanasan 90oC = 0,013 mg/lt, 100oC = <0,01µg/l. Dari cara saringan untuk ke tiga variasi tebal kerikil, pasir, karbon aktif kadar Se =<0,01µg/lt. Kesimpulan bahwa semakin tinggi pemanasan kadar selenium semakin rendah dengan optimum pemanasan 100oC, untuk penyaringan dari ke tiga variasi dapat menurunkan selenium di bawah ambang batas

Profil Keterampilan Proses Sains Fisika Siswa SMA di Kota Lubuklinggau pada Pokok Bahasan Listrik Dinamis

Penelitian ini bertujuan mendeksripsikan profil keterampilan proses sains (KPS) fisika siswa di SMA Kota Lubuklinggau pada materi listrik dinamis. Subjek penelitian adalah siswa SMA kelas XII semester ganjil di sma Negeri 1, MAN 1 Model dan SMA Negeri 5 di Lubuklinggau. Pengambilan sampel dilakukan secara purpossive sampling. Metode Deskriptif kualitatitif. Data dianalisa secara kualitatif dan kuantitatif. Berdasarkan hasil data penelitian KPS fisika siswa kelas XII IPA pada pokok bahasan Listrik Dinamis disimpulkan (1) Keterampilan proses sains fisika siswa kelas XI IPA pada pokok bahasan suhu dan kalor di MA Al-Muhajirin Tugumulyo adalah terampil, dan (2) Solusi untuk menyelesaikan permasalahan ketersediaan aspek KPS adalah melatih dan dilatih dengan pendekatan KPS fisika siswa agar ketersediaan aspek KPS siswa dapat muncul/tersedia. Adapun aspek KPS yang perlu dilatih dan melatih adalah keterampilan klasifikasi, mengkomunikasikan, berhipotesis, menerapkan konsep, bereksperimen, menggunakan alat dan bahan, interprestasi dan mengajukan pertanyaan. Persentase peningkatan KPS yakni, keterampilan observasi 90,3%, keterampilan klasifikasi 85,3%, keterampilan interpretasi 87,2%, keterampilan prediksi 80,4 %, keterapilan merencanakan percobaan atau penyelidikan 92,6%, keterampilan menggunakan alat dan bahan 92,1%, keterampilan menerapkan konsep atau prinsip 82,3%, keterampilan berkomunikasi 89,4%, keterampilan mengajukan pertanyaan 95,1%, dan keterampilan berhipotesis 81,2%. Sehingga secara keseluruhan terjadinya peningkatan yang signifikan 87,3% KPS siswanya

Preserving Privacy of High-Dimensional Data by l-Diverse Constrained Slicing

In the modern world of digitalization, data growth, aggregation and sharing have escalated drastically. Users share huge amounts of data due to the widespread adoption of Internet-of-things (IoT) and cloud-based smart devices. Such data could have confidential attributes about various individuals. Therefore, privacy preservation has become an important concern. Many privacy-preserving data publication models have been proposed to ensure data sharing without privacy disclosures. However, publishing high-dimensional data with sufficient privacy is still a challenging task and very little focus has been given to propound optimal privacy solutions for high-dimensional data. In this paper, we propose a novel privacy-preserving model to anonymize high-dimensional data (prone to various privacy attacks including probabilistic, skewness, and gender-specific). Our proposed model is a combination of l-diversity along with constrained slicing and vertical division. The proposed model can protect the above-stated attacks with minimal information loss. The extensive experiments on real-world datasets advocate the outperformance of our proposed model among its counterparts

Figuritas dalam Politik Lokal (Studi: Keterpilihan Calon Legislatif di Kabupaten Tuban Tahun 2014)

ABSTRACK figure is the first factor in winning the general election. These factors capable of delivering from PKB party seat legislative council in the district of Tuban. This study aims determine as far as of influence the PKB candidate figure legislative to give winning in district of Palang while 1999-2014. This study uses qualitative research method by study elected legislative candidate. Sources data in this study uses primary sources and secondary sources. Technical gathering data can do by serious interview with informants has determined and gathering documents are related to study material. The findings in this study that, the PKB party victory in the District Cross Rofi'udin pioneered by figures who have achievements and the idea of renewal in the art of Islam. Among them is the art of propaganda tongklek and social activities undertaken by the students MA Al-Mustofawiyah. Tongklek art is a means to draw attention to more mature voters, whereas in social service conducted targeted at first-time voters. Conclusion from this study is influence the figure Rofi'uddin selected because of there are image has given from society by means of achievement, contribution to NU along with entrusted missionary endeavor from Kiai. Meanwhile, in sphere NU still trust with the mean sendikoh dawoh marang Kiai (all of command from Kiai is doing by Santri and society)

Pemanfaatan Limbah Cair Tahu untuk Pertumbuhan dan Produksi Tanaman Pakcoy ( Brassica Rapa L.)

The research was aimed to determine the use of tofu liquid waste to growth and production of pakcoy (Brassica rapa L.) This research has been conducted in the experimental garden of Faculty of Agriculture, University of Riau, Jalan Bina Widya, Baru Simpang Village, District Tampan, Pekanbaru. This research was carried out for 2 months from the month of April - Mei 2017. The study was conducted experimentally using a completely randomized design (CRD) consisting of one Factor that concentration of tofu liquid waste with 5 treatments and 4 replications. The treatments used are as follows: 0%, 12,5%, 25%, 37,5% and 50%. The parameters observed, plant height, leaf number, leaf area, plant fresh weight and fresh weight of plants suitable for consumption. The results showed that given of some tofu liquid waste influencing pakcoy on all parameters, and given of 25% is the most effective concentrations for the growth and production of pakcoy

Dampak Pemekaran Desa terhadap Kesatuan Hukum Adat (Studi Kasus Pemekaran Desa Sibiruang Menjadi Desa Bandur Picak Kecamatan Koto Kampar Hulu Kabupaten Kampar)

Governance Management mounted by Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor generate various polemic in management of countryside governance, specially Countryside of Bandur Picak, where countryside management during the time namely countryside of mains of Countryside Sibiruang cannot be locked out of a concept " String of Bapilin Tigo or Tigo of Stove Sajarangan" with the meaning activity management in countryside very relate to the institute of exist in countryside namely, Countryside Governance, Ninik Mamak (leader of tribes) and Moslem intelectual. Target of research is to know and explain the impact of pemekaran countryside to unity of Customary Law in Countryside of Sibiruang and Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor, and description of about effort is solving of the problem of unity customary law in Countryside of Sibiruang and Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor. Analyse the data of performed within this research is data analysis qualitative. Target of research is to know and explain the impact of pemekaran countryside to unity of Customary Law in Countryside of Sibiruang and Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor, and description of about effort is solving of the problem of unity customary law in Countryside of Sibiruang and Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor. Analyse the data of performed within this research is data analysis qualitative. Affect the breaking countryside to unity of Customary Law in Countryside of Sibiruang and Countryside of Bandur Picak of District of knowable Koto Pate;Upstream Camphor namely, Breaking of Countryside of Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor from its mains countryside is Countryside Sibiruang generate the polemic in execution of values and unity [of] customary law of exist in both the countryside. Both the countryside difficult cut loose from customary law unity is woke up by since of old. Before formed by Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor, unity of customary law well-held orderlyly is fluent without existence of various problem that happened. But after happened by the break, unity of customary law still coalesce namely Custom Sprout in Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor, while sprout Syara (religion) in Countryside Sibiruang. Affect the breaking countryside to unity of Customary Law in Countryside of Sibiruang and Countryside of Bandur Picak of District of knowable Koto Pate;Upstream Camphor namely, Breaking of Countryside of Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor from its mains countryside is Countryside Sibiruang generate the polemic in execution of values and unity [of] customary law of exist in both the countryside. Both the countryside difficult cut loose from customary law unity is woke up by since of old. Before formed by Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor, unity of customary law well-held orderlyly is fluent without existence of various problem that happened. But after happened by the break, unity of customary law still coalesce namely Custom Sprout in Countryside of Bandur Picak of District of Koto of Pate;Upstream Camphor, while sprout Syara (religion) in Countryside Sibiruang. Keyword : Village Expansion, Regional Autonomy, and Common Law Keyword : Village Expansion, Regional Autonomy, and Common La

The Concentrations and Distributions of Heavy Metals Pb, Cu and Zn in the Sea Water and Sediment in Estuary Area of Dumai, Riau Province.

The research of heavy metal (Pb, Cu, Zn) has been conducted in June 2015in the estuary area of Dumai, Riau Province. The samples of water and sedimentwere taken in difference area, consisting of 15 stations by purposive samplingmethod. The analysis showed heavy metal contents were as followes Pb 0.051 –0.061 mg/l, Cu 0.038 – 0.047 mg/l, and Zn 0.182 – 0.243 mg/l respectively. Theheavy metal contents in water has exceeded the quality standard ofKep.MENLH/51/2004 on sea water quality standard for marine organism. On theother hand, the sediment analysis showed heavy metal contents were Pb 2.700 –3.500 μg/g, Cu 2.522 – 6.97 μg/g and Zn 15.977 – 18.059 μg/g. According to thisresearch it was concluded that the estuary area of Dumai has been contaminated