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"The aim of the present monograph is to illuminate more subtle aspects featuring group theory for quantum mechanics, that is, the concept of dynamical symmetry. "

"Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures."

"This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure—the Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key rôle in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence.The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schrödinger operators."

"We impose the Higgs mechanism to break the Grand Unified Theory based on SU(6) symmetry, SU(6) GUT. We investigate and search for the Higgs multiplets which are approriate to generate masses for both fermions and gauge bosons. We have found that the most minimal Higgs multiplets are < 15 >,< 20 > and < 21 > to realize three steps of symmetry breaking in SU(6) GUT down to the standar SU(2) × U(1) model. However within this minimal SU(6) GUT, we can reproduce only some fermions spectra as N4e, νe,N6e, Ne and d quarks, although we have deployed the most general forms of Higgs multiplets. On the other hand, the present approach have succeeded in generating the reguler gauge bosons, W±, Z0 and Aµ."

"These lecture notes provide a tutorial review of non-Abelian discrete groups and show some applications to issues in physics where discrete symmetries constitute an important principle for model building in particle physics. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics, in particular model building beyond the standard model - non-Abelian discrete symmetries have been applied to understand the three-generation flavor structure in particular. This text explicitly introduces and studies the group-theoretical aspects of many concrete groups and shows how to derive conjugacy classes, characters, representations, and tensor products for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest."

"Telah dibangun Lagrangian baru serta dilakukan perhitungan analitik tensor energi-momentum untuk fluida QCD yang mengandung suku viskositas. Suku viskositas ini dibuat dengan asumsi bahwa persamaan gerak yang diperoleh mereproduksi persamaan gerak hidrodinamika relativistik. Suku viskositas mengakibatkan perusakan simetri fluida QCD. Memakai Lagrangian yang telah dibangun, dihitung distribusi jumlah partikel memakai teori kinetik dan resolusi Cooper- Frye. Ditunjukkan bahwa distribusi jumlah partikel memiliki kontur yang samamdengan hasil perhitungan sebelumnya memakai persamaan gerak hidrodinamika relativistik.

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A new Lagrangian and energy momentum tensor for fluid QCD with viscous term have been developed and calculated analytically. The viscous term has been constructed assuming that the generated equation of motion should reproduce the known relativistic hydrodynamics. The viscous term induces symmetry breaking of fluid QCD. Using the Lagrangian, the particle number distribution has been calculated using kinetic theory and Cooper-Frye prescription. It is shown that the distribution has the same contour as previous results calculated using the equation of motion of relativistic hydrodynamics."

"[ABSTRAKFPGA merupakan piranti yang bersifat dapat dikonfigurasi-ulang (reconfigurable). Dengan mengambil keuntungan dari paralel hardware, eksekusi FPGA dapat lebih cepat dari pemrosesan DSP(Digital Signal Processor). Disain dan Implementasi Pengenalan wajah menggunakan FPGA, untuk mengidentifikasi citra wajah yang diberikan dengan menggunakan Fitur utama dari wajah. Dalam tesis ini Algoritma Artificial Neural Network metode Back Propagation disajikan, untuk mendeteksi pandangan frontal wajah. Extraksi Penciri citra wajah di lakukan dengan (PCA) dan identifikasi menggunakan Back Propagation. Citra wajah diambil dari 100 At&T Database menghasilkan 90 % acceptance ratio.

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ABSTRACTFPGA is a device that can be re-configured (reconfigurable). By taking advantage of parallel hardware, FPGA execution can be faster than processing DSP (Digital Signal Processor). Design and Implementation of face recognition using FPGA, to identify a given face image using the main features of the face. In this thesis Algorithm Artificial Neural Network Back Propagation method is presented, for detecting frontal view faces. Identifier face image extraction is done by (PCA) and identification using Back Propagation. 100 face images taken from At & T database generates 90% acceptance ratio.;FPGA is a device that can be re-configured (reconfigurable). By taking advantage of parallel hardware, FPGA execution can be faster than processing DSP (Digital Signal Processor). Design and Implementation of face recognition using FPGA, to identify a given face image using the main features of the face. In this thesis Algorithm Artificial Neural Network Back Propagation method is presented, for detecting frontal view faces. Identifier face image extraction is done by (PCA) and identification using Back Propagation. 100 face images taken from At & T database generates 90% acceptance ratio.;FPGA is a device that can be re-configured (reconfigurable). By taking advantage of parallel hardware, FPGA execution can be faster than processing DSP (Digital Signal Processor). Design and Implementation of face recognition using FPGA, to identify a given face image using the main features of the face. In this thesis Algorithm Artificial Neural Network Back Propagation method is presented, for detecting frontal view faces. Identifier face image extraction is done by (PCA) and identification using Back Propagation. 100 face images taken from At & T database generates 90% acceptance ratio., FPGA is a device that can be re-configured (reconfigurable). By taking advantage of parallel hardware, FPGA execution can be faster than processing DSP (Digital Signal Processor). Design and Implementation of face recognition using FPGA, to identify a given face image using the main features of the face. In this thesis Algorithm Artificial Neural Network Back Propagation method is presented, for detecting frontal view faces. Identifier face image extraction is done by (PCA) and identification using Back Propagation. 100 face images taken from At & T database generates 90% acceptance ratio.]"

"Keindahan adalah suatu hal yang sengaja diciptakan. Di dalam keindahan terdapat suatu ciptaan yang amat mendalam dan bukan sekedar penampilan Simetri sebagai salah satu unsur keindahan hadir sebagai suatu usaha sadar untuk mencapai keteraturan dan merupakan prinsip yang di gunakan untuk menciptakan keseimbangan, keharmonisan, dan keselarasan. Namun selama ini simetri diartikan terlalu dangkal yaitu bagian kanan sama dengan bagian apakah hanya sebatas itu saja? Di dalam arsitektur, pengejawantahan simetnl sering terlihat dalam hal mengolah ruang-ruang maupun bentuk yang ditampilkan Pada kenyataannya jika kita mau menggali lebih jauh, ternyata simetri dalam arsitektur selalu dipakai baik sadar maupun tidak. Kecenderungan manusia untuk menghasilkan suatu keteraturan telah mengarahkan seorang perancang dalam dunia arsitektural untuk rnenerapkan prinsip simetri dalam rancangannya Simetri dalam arsitektur hadir untuk memperkuat kesan ruang dan menciptakan suatu keteraturan di dalamnya."

"V-phenylenic nanotube terdiri dari 2n heksagon beraturan pada bidang horizontal dan 2n heksagon beraturan pada bidang vertikal. Nanotube tersebut tidak akan berubah bentuk jika dirotasikan atau direfleksikan antarheksagon yang membentuknya. Oleh karena itu, operasi rotasi dan refleksi tersebut disebut dengan operasi simetri. Operasi-operasi simetri yang dikenakan pada V-phenylenic nanotube, dapat dinyatakan ke dalam bentuk permutasi yang membentuk sebuah grup yang disebut grup simetri dari V-phenylenic nanotube. Grup simetri ini isomorfik dengan direct product dari grup dihedral Dn dengan grup siklis Z2."