Quasi-Particles Hamiltonian

The anyonic Hamiltonian is quantum mechanically given and the bosonic and the fermionic Hamiltonians are found as extremes by discussing the cases of the statistical parameter $\nu$ and the dimension of space. The anyonic algebra \cite{upa} is recalled as a deformed Heisenberg algebra and a deformed $C_\lambda$-extended Heisenberg algebra.Comment: 7 pages, clarifications, references added, Presented in the XIIIth Oporto Meeting on Geometry, Topology And Physics, Oporto, Portugal (2004

Multi-Species Anyons Supersymmetry on Two-Dimensional Space

The algebra of multi-species anyons characterized by different statistical parameters $\nu_{ij}=e_{i}e_{j}\Phi_{i}\Phi_{j}/(2\pi)$, $i,j=1,...,n$ is redefined by basing on fermions and $k_{i}$-fermions ($k_{i}\in\bf{N}\rm /\{0,1\}$ with $i\in\bf{N}\rm$) and its superalgebra is constructed. The so-called fractional supersymmetry of multi-species anyons is realized on 2d lattice.Comment: 13 page

Planar System and w∞w_\infty Algebra

We study the exotic particles symmetry in the background of noncommutative two-dimensional phase-space leading to realize in physicswise the deformed version of $C_{\lambda}$-extended Heisenberg algebra and \om_\infty symmetry.Comment: 10 pages, Seminar given at South African Institute of Physics Conference, University of Free State in Bloemfontein, 29 June to 2 July 2004. Title changed, discussions extended and some equations corrected. Final version accepted to be published in Modern Physics letters

Blow up of solutions to semilinear non-autonomous wave equations under Robin boundary conditions

The problem of blow up of solutions to the initial boundary value problem for non-autonomous semilinear wave equation with damping and accelerating terms under the Robin boundary condition is studied. Sufficient conditions of blow up in a finite time of solutions to semilinear damped wave equations with arbitrary large initial energy are obtained. A result on blow up of solutions with negative initial energy of semilinear second order wave equation with accelerating term is also obtained

Electrified Dp-Branes Intersections

In this review, we introduce the electrified Dp-branes intersections in the low energy effective theory. We focus on D1-D3, D1-D5 and D0-D2 branes. We give the solutions configurations in the low energy effective theory in the absence and the presence of electric field by exciting one, two and three scalars in D3 system. The solutions from D3 point of view in the last two cases are given as a spike which is interpreted as an attached bundle of a superposition of coordinates of another brane given as a collective coordinate a long which the brane extends away from the D3-brane. The lowest energy in both cases is higher than the energy found in the case of D1$\bot$D3 branes. We also find space-time dependent solutions in D1-D3 system that are a natural generalization of those found without the electric field. Then, we show that, in the flat background, the D1-D3 and D1-D5 branes obey Neumann boundary conditions by discussing the fluctuations of fuzzy funnel solutions in both systems. Also, we give the broken duality in D1-D3 system and the unbroken duality in D1-D5 system. In D0-D2 system, we consider generalized Maxwell theory by introducing a generalized connection put at the origin of the spherical D2-brane to describe anyons instead of Chern-Simons term. The D2-brane got a higher energy and the static potential for two opposite charged exotic particles is found to have a screening nature on a fuzzy two-sphere instead of confinement which is a special property of the system on the plane.Comment: Title changed, many sections added and references as well. 41 pages, 6 figure

Exotic Particles and w∞w_\infty-Algebras in Two- and High-Dimensional Spaces

We construct a set of noncommuting translation operators in two and high-dimensional lattices. The algebras they close are $w_{\infty}$-algebras. The construction is based on the introduction of noncommmuting elementary link operators which link two neighborhood sites in the lattice. This kind of operators preserve the braiding nature of exotic particles living basically in two-dimensional space.Comment: 8 pages, the fig.2 is change

Exotic Particles and Generalized Maxwell theory on Fuzzy Two-Sphere

We consider generalized Maxwell theory and spherical D2-brane. The model is built by introducing a generalized connection put at the origin of two-sphere to describe anyons instead of Chern-Simons term. The energy obtained in this model is very special since the gauge field is dynamic and its energy dominates when the radius of fuzzy two-sphere goes to infinity or if we take large number of charges. Consequently, D2-brane gets high energy. The static potential for two opposite charged exotic particles described by generalized Maxwell theory is found to have screening nature on fuzzy two-sphere instead of confinement which is a special property of the system on the plane.Comment: 10 pages, No figur

Sistem Pendukung Keputusan Pemilihan Subkontrak Produksi Sarung Tangan Menggunakan Metode Entropy dan Topsis

Pada proses produksi Perusahaan manufaktur, subkontrak merupakan salah satu bagian yang ikut berperan mengatasi permasalahan produksi. PT. Adi Satria Abadi (ASA) yang berlokasi di Yogyakarta adalah Perusahaan yang memproduksi sarung tangan golf dan seluruh hasil produksi di ekspor ke luar negeri. Untuk memenuhi target produksi, PT. ASA bekerjasama dengan beberapa subkontrak. Penelitian ini bertujuan untuk membantu Perusahaan dalam memilih subkontrak terbaik. Selama ini, yang menjadi kriteria pemilihan subkontrak adalah kualitas hasil produksi sampel sarung tangan. Hasil observasi, wawancara dan diskusi dengan pihak Perusahaan, diusulkan untuk mempertimbangkan kriteria lain dalam penilaian subkontrak, sehingga kriteria pemilihan subkontrak menjadi 4 yang terdiri dari kualitas, ketepatan waktu, service dan harga. Sedangkan metode penentuan bobot kriteria, diberikan dengan 3 cara yaitu (1) bobot awal yang diberikan Perusahaan, (2) bobot entropy, dan (3) menggabungkan bobot awal dengan bobot entropy yang menghasilkan bobot entropy akhir. Data yang digunakan adalah hasil seleksi produksi sampel sarung tangan yang dihasilkan subkontrak berdasarkan style sarung tangan yang dipesan oleh buyer. Perangkingan subkontrak menggunakan Multi Atribute Decision Making (MADM), salah satu metodenya adalah TOPSIS (Technique for Order Preference by Similarity to Ideal Solution). Hasil penelitian, terbentuknya sistem pendukung keputusan pemilihan subkontrak yang dapat menghasilkan subkontrak terbaik, sedangkan kriteria dan bobot dapat disesuaikan dengan kepentingan Perusahaan. Hasil pengujian dengan menggunakan ketiga cara penetapan bobot kriteria mempengaruhi nilai akhir dan hasil perangkingan. Bobot entropy akhir dapat dijadikan pilihan model untuk menentukan bobot kriteria pemilihan karena selain menghasilkan bobot kriteria berdasarkan karakteristik data sekaligus dapat mengakomodasi preferensi subyektif dari pengambil keputusan

The Curved Space is The Electrified Flat Space

The responsibility of the electric field $E$ in the modification of the nature of the space is proved. We investigate the way the fundamental strings are related to supergravity background of D5-branes; i.e. once the endpoints of the D-strings are electrified the flat space becomes curved. We study the electrified relative and overall transverse perturbations of fuzzy funnel solutions of intersecting $(N,N_f)$-strings and D5-branes in flat and supergravity backgrounds respectively. As result the perturbations have a discontinuity which corresponds to a zero phase shift realizing Polchinski's open string Neumann boundary condition. And once the electric field $E$ is turned on in flat space these perturbations decrease and when $E$ is close to the critical value $\frac{1}{\lambda}$ the perturbations disappear forever and the string coupling becomes strong. At this stage the space is considered curved and the electric field is responsible for this effect. This phenomena is also enhanced by the behavior of the potential $V$ associated to the perturbations $\Phi$ on the funnel solutions under the influence of the electric field. The potential goes too fast to $-\infty$ when $E$ goes to the critical value $\frac{1}{\lambda}$ in flat space which looks like a kink to increase the velocity for $\Phi$ to disappear. But in curved space and close to the intersecting point we do not find any perturbation for all $E$ and there is no effect of $E$ on $V$ and this is a sign to the absence of the perturbation effects in supergravity background. This clarifies the existence of a relation between the electric field and the supergravity background.Comment: 18 pages, 10 figure

UPAYA PENINGKATAN PROFESIONALISME GURU PENDIDIKAN KEWARGANEGARAAN (PKn)DI MADRASAH ALIYAH NEGERI MALANG 1

Pendidikan mempunyai tanggung jawab untuk mewujudkan masyarakat yang berkualitas, terutama untuk mempersiapkan peserta didik menghadapi tantangan masa depan. Untuk itu pengembangan profesionalisme guru perlu ditingkatkan. Hal tersebut diperlukan untuk mengantisipasi kecanggihan ilmu pengetahuan dan globalisasi. Keberadaan guru yang profesional bagi suatu bangsa sangatlah penting apalagi suatu bangsa yang sedang membangun. Terlebih-lebih bagi keberlangsungan hidup bangsa ditengah-tengah lintasan zaman dengan teknologi yang semakin canggih dan segala perubahan serta pergeseran nilai yang cenderung memberi nuansa kepada kehidupan yang menuntut ilmu pengetahuan dan seni dalam kadar dinamik untuk dapat mengadaptasikan diri. Tujuan penelitian ini yaitu: (1) untuk mengetahui upaya sekolah dalm peningkatan profesionalisme guru PKn di MAN Malang 1, (2) untuk mengetahui respon guru PKn dengan adanya upaya peningkatan profesionalisme guru di MAN Malang 1, (3) untuk mengetahui faktor pendukung dan penghambat adanya upaya peningkatan profesionalisme guru PKN di MAN Malang 1. Rancangan dan pendekatan penelitian yang digunakan adalah rancangan jenis penelitian deskriptif kualitatif. Lokasi penelitian dilaksanakan di MAN Malang 1. Teknik pengumpulan data dalam penelitian ini menggunakan pedoman wawancara, observasi dan dokumentasi. Pengecekan keabsahan data menggunakan triangulasi sumber. Analisis data dimulai dengan menelaah seluruh data dari berbagai sumber, kemudian mangadakan reduksi data, pemeriksaan keabsahan data, penafsiran data menjadi teori substantif dengan menggunakan metode tertentu.Tahap-tahap penelitian dimulai dari tahap persiapan, pelaksanaan dan terakhir tahap laporan. Hasil penelitian yaitu: (1) mengetahui secara jelas tentang sejarah perkembangan MAN Malang 1,(2) upaya peningkatan Profesionalisme guru PKn di MAN Malang 1, (3) respon guru PKN dengan adanya upaya peningkatan profesionalisme guru, (4) faktor penunjang dan penghambat upaya peningkatan profesionalisme guru PKN di MAN Malang 1. faktor penunjang lebih dominan dari pada faktor penghambatnya misalnya adanya sarana prasarana yang menunjang seperti (komputer, OHP, audio Visual, dan lain-lain), para guru selalu terdorong untuk berkembang dengan mengikuti berbagai kegiatan seperi (MGMP, workshop, diklat,pelatihan dan lain sebagainya) sedangkan faktor penghambatnya adalah pengetahuan guru yang minim, kegiatannya selalu bentrok dengan kegiatan pembelajaran