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Ditemukan 16 dokumen yang sesuai dengan query
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Dita Aprilina
"Proses fotoproduksi η-meson pada nukleon γ+N → η+N telah dipelajari menggunakan Pendekatan Lagrangian Efektif pada tree-level. Kami mempertimbangkan kontribusi utama pada Amplitudo Transisi, yaitu Born-term, pertukaran vektor-meson, dan resonans. Daftar nukleon resonans hingga spin-5/2 yang kami gunakan dalam penelitian ini berasal dari Particle Data Group (PDG) yang telah diperbaharui pada 19 Januari 2019. Nilai parameter model yang tidak diketahui kami ekstrak dari fitting dengan kurang lebih 1082 data eksperimen. Kami juga menghitung penampang lintang untuk membandingkan perhitungan model dengan data eksperimen. Dari perbandingan hasil perhitungan teori data ekspeimen, kami menganalisis kontribusi resonans pada proses yang diteliti.

η-meson photoproduction on the nucleon γ + N → η + N was investigated by using effective Lagrangian approach (ELA) at the tree level. We considered the leading contributions to the amplitude, the Born Term, vector-meson term, and Resonance. The resonances listings up to spin-5/2 taken from Particle Data Group which updated at January 19, 2019. The unknown values of model parameter are extracted from fitting to around 1082 experimental data. We also calculate the cross section to compare model calculation with experimental data. From comparison of the theory calculation and eksperimental data, we analyse the role of resonances on the model."
Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 2020
T55267
UI - Tesis Membership  Universitas Indonesia Library
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Usasana
"ABSTRACT
There are many non-survey method that estimate 1-0 Coefficient e. i : RAS, RECRAS and LAGRANGIAN. In this study, the author would like to introduce a new methode to estimate non-survey Coefficient of I-4, namely AHP. Using 1985 1-0 Table of publication, this study introduces the estimation 1990 1-0 coefficient using some instruments such as : MAPS MAD, PEOM and PEG. These instruments have been used to evaluate how fit the result is. The conclusion of this study shows that the technical coefficient matrix estimated by AHP and RAS may perform relative well. But, when converted to its associated Leontief Inverse, in term of such measures as it output multiplier or sectoral gross output that it does not produce look very much like an associated full-survey matrix."
1996
T-Pdf
UI - Tesis Membership  Universitas Indonesia Library
cover
Glowinski, Roland
"A need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator-splitting methods such as alternating-methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics.
This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods additionally used to study them. These ideas are then applied to specific classes of mechanical problems."
Philadelphia : Society for Industrial and Applied Mathematics, 1989
e20442854
eBooks  Universitas Indonesia Library
cover
Aditya Tri Oktaviana
"ABSTRAK
Pada penelitian ini, energi ikat dipelajari pada model Skyrme SU(2) yang digeneralisir,
yang terdiri dari suku model sigma nonlinier L2 dan suku derivatif
orde keenam L6. Pada Lagrangian tersebut dicari solusi BPS dengan mencari
solusi dari fungsi pro l g(r) secara numerik. Hasil dari fungsi pro l tersebut
dapat digunakan dalam melakukan perhitungan energi statik dan energi rotasi.
Hasil tersebut mendeskripsikan karakteristik dari inti nuklir dengan melihat
hasil energi statik dan energi rotasi tersebut. Terakhir dari perhitungan energi
statik dan energi rotasi kami mencari nilai konstanta kopling  pada Lagrangian
Skyrmion

ABSTRACT
In this research, the binding energy is studied from generalized Lagrangian
Skyrmion of SU(2) Skyrme model, that consists of two terms, the non-linear
sigma model L2, and the sixth-order derivative terms L6. From that Lagrangian
a near-BPS solution is obtained by nding a solution of the pro le function
g(r) numerically. The results of the pro le function found can be used for the
calculation of static and rotational energies. The result describes the characteristic
of the nuclei from static and rotational energies calculation. Last, from
the calculation of the static and rotational energies we are able to calculate
the coupling constant  from the Skyrmion Lagrangian"
2015
S60179
UI - Skripsi Membership  Universitas Indonesia Library
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Situmorang, Venda Damianus
"Distribusi Poisson adalah distribusi yang sangat banyak dipakai dalam pemodelan data cacahan. Namun, distribusi Poisson memiliki keterbatasan yaitu kesamaan antara nilai mean dan variansi (equidispersi) dari data yang akan dimodelkan, sehingga distribusi Poisson tidak cocok digunakan untuk memodelkan data yang tidak memenuhi syarat tersebut. Kasus overdispersi (variansi lebih besar daripada nilai mean) dan underdispersi (variansi lebih kecil daripada nilai mean) sering kali ditemukan dalam kasus riil. Oleh karena itu, distribusi baru perlu dikembangkan dalam menangani data dengan kasus ini. Salah satu distribusi yang dapat menangani kasus ini adalah distribusi hyper-Poisson. Distribusi ini dapat diturunkan melalui hubungan rekursif dari keluarga distribusi Lagrangian Katz yang merupakan keluarga distribusi data cacahan. Distribusi ini juga dapat diklasifikasi berdasarkan parameternya, sehingga dapat digunakan untuk mengatasi kasus overdispersi dan underdispersi secara fleskibel. Pada skripsi ini dijelaskan mengenai pembentukan fungsi distribusi hyper-Poisson, karakterisitik dari distribusi hyper-Poisson, dan penggunaan distribusi hyper-Poisson dalam memodelkan data riil terkait kasus overdispersi dan underdispersi.

The Poisson distribution is a distribution that is very widely used in count data modeling. However, the Poisson distribution has a limitation, namely the equality between the mean and variance values (equidispersion) of the data to be modeled, so the Poisson distribution is no longer suitable for modeling data that does not meet this condition. Cases of overdispersion (variance greater than the mean value) and underdispersion (variance smaller than the mean value) are often found in real cases. Therefore, new distributions need to be developed to handle data with these cases. One distribution that can handle this case is the hyper-Poisson. This distribution can be derived through the recursive relation of the Lagrangian Katz family of distribution, which is a family of distribution of count data. This distribution can also be classified based on its parameter, so it can be used to handle overdispersion and underdispersion cases flexibly. This thesis studies how to generate the distribution function of the hyper-Poisson distribution, the characteristics of the hyper-Poisson distribution, and the use of the hyper-Poisson distribution in modeling real data related to overdispersion and underdispersion cases.
"
Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 2023
S-pdf
UI - Skripsi Membership  Universitas Indonesia Library
cover
Achmad Prayogi
"Dawai kosmik (cosmic strings) merupakan salah satu jenis defeksi topologi. Dalam kosmologi, fenomena defeksi topologi ini dapat terjadi karena konsekuensi perusakan simetri spontan pada awal alam semesta. Penelitian ini mempelajari solusi dari dawai kosmik yang memenuhi persamaan lagrangian Dirac-Born-Infeld dengan suku potensialnya tak bervakum, yakni potensial yang memiliki nilai vakum pada titik yang tak terhingga. Keadaan ini berada pada fisika energi tinggi. Kami memecahkan masalah persamaan differensial orde-2 secara numerik menggunakan metode tembak.

Cosmic strings is one type of topological defect. In cosmology, topological defect can occur because of the consequence of spontaneous symmetry breaking in early universe. This research study the solutions that satisfy the equation Dirac-Born-Infeld (DBI) lagrangian with vacuumless potential, which is the potential that has vacuum values at infinity. This is the regime of very high energy physics. We solve the second order the differential equation numerically using shooting method.
"
Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 2014
S54911
UI - Skripsi Membership  Universitas Indonesia Library
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Syaefudin Jaelani
"[ABSTRAK
Kuantisasi Lagrangian model point-coupling bergantung densitas menghasilkan
Lagrangian Hartree-Fock yang terdiri atas suku direct dan exchange.
Identitas Fierz diaplikasikan pada suku exchange agar bisa disusun bersama
dengan suku direct membentuk Lagrangian efektif. Dengan menggunakan persamaan
Euler-Lagrange akan didapat persamaan gerak dan massa efektif sistem.
Dari Hamiltonian sistem diperoleh energi ikat sistem per nukleon, massa
efektif, tekanan dan kompresibilitas. Dari hasil yang diperoleh, kontribusi
suku exchange kecil pada massa efektif nukleon materi nuklir simetrik. Namun
pada keadaan lain, kontribusi yang signi kan terlihat pada energi ikat
per nukleon di materi nuklir simetrik dan materi netron, massa efektif materi
netron, dan energi ikat per nukleon pada densitas rendah dari materi netron.

ABSTRACT
Point-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the e ective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the e ective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, e ective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon e ective mass of symmetric nuclear matter. But in the
other conditions, the signi cant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron e ective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density;Point-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the e ective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the e ective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, e ective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon e ective mass of symmetric nuclear matter. But in the
other conditions, the signi cant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron e ective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density;Point-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the e ective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the e ective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, e ective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon e ective mass of symmetric nuclear matter. But in the
other conditions, the signi cant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron e ective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density;Point-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the e ective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the e ective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, e ective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon e ective mass of symmetric nuclear matter. But in the
other conditions, the signi cant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron e ective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density, Point-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the e ective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the e ective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, e ective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon e ective mass of symmetric nuclear matter. But in the
other conditions, the signi cant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron e ective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density]"
2015
T43226
UI - Tesis Membership  Universitas Indonesia Library
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Ito, Kazufumi
"Lagrange multiplier theory provides a tool for the analysis of a general class of nonlinear variational problems and is the basis for developing efficient and powerful iterative methods for solving these problems. This comprehensive monograph analyzes Lagrange multiplier theory and shows its impact on the development of numerical algorithms for problems posed in a function space setting. The book is motivated by the idea that a full treatment of a variational problem in function spaces would not be complete without a discussion of infinite-dimensional analysis, proper discretization, and the relationship between the two.
The authors develop and analyze efficient algorithms for constrained optimization and convex optimization problems based on the augumented Lagrangian concept and cover such topics as sensitivity analysis, convex optimization, second order methods, and shape sensitivity calculus. General theory is applied to challenging problems in optimal control of partial differential equations, image analysis, mechanical contact and friction problems, and American options for the Blackcholes model."
Philadelphia: Society for Industrial and Applied Mathematics, 2008
e20450687
eBooks  Universitas Indonesia Library
cover
Anisa Wulandari
"ABSTRACT
Fenomena Penggerusan atau Scouring secara langsung terjadi pada material karena gerakan aliran air dan sedimen air, masih menjadi topik yang para peneliti di dunia terus selidiki. Studi terkait penggerusan kemudian terus dikembangkan dalam Computational Fluid Dynamics CFD untuk dapat memperkirakan efek Scouring dengan menganalisis interaksi antara zat cair dan zat padat. Interaksi antara air dan solid dapat diteliti dengan merealisasikan pemodelan tiga dimensi 3D menggunakan metode pendekatan numerik Smoothed Particle Hydrodynamics SPH yang memodelkan dan memvisualisasikan perilaku fluida dengan pendekatan Lagrangian, sebuah pendekatan partikel lebih realistis daripada pendekatan grid. Pada penelitian pemodelan interaksi fluida dan solid pada ini akan diteliti berbasis partikel skala mikro pada fenomena Air Hujan-Beton Solid, fenomena Air ndash; Beton Solid, dan fenomena Air ndash; Granular solid. Hasil simulasi pemodelan dapat ditinjau dari perilaku pemodelan dan gaya internal maupun eksternal terutama gaya Boundary untuk berbagai variasi pemodelan yang dilakukan terhadap nilai Support Radius, Stiffness Coefficient Ks , dan Damping Coefficient Kd . Nilai Ks akan mempengaruhi kekakuan partikel solid sementara nilai Kd mempengaruhi redaman osilasi dari partikel fluida pada sesaat setelah terjadinya tumbukan.

ABSTRACT
Scouring Phenomenon directly occurs on materials due to the motion of water flow and water borne sediments that researchers in the world continue to investigate. Scouring related studies are then continuously developed in Computational Fluid Dynamics CFD to be able to estimate Scouring effects by analyzing interaction between fluid and solid. Interaction between water and solid can be researched by realizing three dimensional modeling 3D using the numerical approach method of Smoothed Particle Hydrodynamics which is modeling and visualizing fluid behavior with a Lagrangian approach, a more particle approach realistic than the grid approach. The authors examine the interaction modelling of fluid and solid in particle based micro scale on water drop concrete phenomenon, water concrete phenomenon, dan water granular solid phenomenon. The results will be reviewed by particle rsquo s behaviour and Boundary Forces for every support radius, stiffness coefficient, and damping coefficient variations. Value of Ks will affect the rigidity of solid particle and value of Kd will affect the damping attenuation of the fluid particles at shortly after the collision occured."
2018
S-Pdf
UI - Skripsi Membership  Universitas Indonesia Library
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