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Lecture form Spring School on Strings, Cosmology and Particles (SSSCP2009), March 31-4 2009, Belgrade/Nis, Serbia

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Alex Rivas - Tank Stratification Model Using MATLAB

This document presents a MATLAB model for simulating propellant tank stratification over a 6-month mission. The model treats the tank as a solid sphere and uses separation of variables to solve the heat equation. It calculates eigenvalues and characteristic values to determine the temperature distribution as a function of time and radius. The model was used to simulate LO2 and LCH4 tanks under different heat leak conditions. Results showed maximum stratification of 25K for LO2 with a high heat leak, but generally low stratification that does not approach boiling points. The model can help determine if active mixing is needed in propellant tanks for future space missions.

Ch r ssm

Three events occur:
1) An airplane carrying an atomic clock flies back and forth for 15 hours at an average speed of 140 m/s.
2) The time on the clock is compared to an atomic clock kept on the ground.
3) Using time dilation, the elapsed time on the ground clock is calculated to be 9.5 nanoseconds longer than the time on the airplane clock.

D. Vulcanov: Symbolic Computation Methods in Cosmology and General Relativity...

Lecture form Spring School on Strings, Cosmology and Particles (SSSCP2009), March 31-4 2009, Belgrade/Nis, Serbia

Metodo Monte Carlo -Wang Landau

Wang-Landau Monte Carlo simulation is a method for calculating the density of states function which can then be used to calculate thermodynamic properties like the mean value of variables. It improves on traditional Monte Carlo methods which struggle at low temperatures due to complicated energy landscapes with many local minima separated by large barriers. The Wang-Landau algorithm calculates the density of states function directly rather than relying on sampling configurations, allowing it to overcome barriers and fully explore the configuration space even at low temperatures.

BNL_Research_Report

This document presents results from a lattice QCD calculation of the proton isovector scalar charge (gs) at two light quark masses. The calculation uses domain-wall fermions and Iwasaki gauge actions on a 323x64 lattice with a spacing of 0.144 fm. Ratios of three-point to two-point correlation functions are formed and fit to a plateau to extract gs. Values of gs are obtained for quark masses of 0.0042 and 0.001, and all-mode averaging is used for the lighter mass. Chiral perturbation theory will be used to extrapolate gs to the physical quark mass. Preliminary results for gs at the unphysical quark masses are reported in lattice units.

Kalman_Filter_Report

The document describes a discrete-time Kalman filter implemented in Matlab to estimate the position and velocity of an underwater target. It defines the state vector, system model, and measurement model. Process and measurement noise are added through the Q and R matrices. Simulation results show the position error converges initially and remains small by the end.

“Solving QCD: from BG/P to BG/Q”. Prof. Dr. Attilio Cucchieri – IFSC/USP.

This document discusses quantum chromodynamics (QCD) and efforts to solve it using numerical simulations on supercomputers. It begins by explaining that quarks make up hadrons like protons and neutrons, and that QCD describes the strong force between quarks via the exchange of gluons. While QCD's mathematical formulation is similar to QED, gluons interact with each other due to their own color charge. This results in quark confinement and the non-perturbative nature of QCD at low energies. The document then outlines how Wilson introduced the idea of putting QCD on a lattice to prove confinement, and how modern numerical simulations evaluate QCD propagators and vertices on large lattices using Monte Carlo methods run in parallel on

Methods available in WIEN2k for the treatment of exchange and correlation ef...

This document summarizes methods available in the WIEN2k software for treating exchange and correlation effects beyond semilocal density functional theory. It discusses the semilocal generalized gradient approximation and meta-GGA functionals, the modified Becke-Johnson potential for improving band gaps, dispersion correction methods, and on-site corrections like DFT+U and hybrid functionals for strongly correlated materials. Input parameters and keywords for selecting these methods in the WIEN2k code are also outlined.

Alex Rivas - Tank Stratification Model Using MATLAB

This document presents a MATLAB model for simulating propellant tank stratification over a 6-month mission. The model treats the tank as a solid sphere and uses separation of variables to solve the heat equation. It calculates eigenvalues and characteristic values to determine the temperature distribution as a function of time and radius. The model was used to simulate LO2 and LCH4 tanks under different heat leak conditions. Results showed maximum stratification of 25K for LO2 with a high heat leak, but generally low stratification that does not approach boiling points. The model can help determine if active mixing is needed in propellant tanks for future space missions.

Ch r ssm

Three events occur:
1) An airplane carrying an atomic clock flies back and forth for 15 hours at an average speed of 140 m/s.
2) The time on the clock is compared to an atomic clock kept on the ground.
3) Using time dilation, the elapsed time on the ground clock is calculated to be 9.5 nanoseconds longer than the time on the airplane clock.

D. Vulcanov: Symbolic Computation Methods in Cosmology and General Relativity...

Lecture form Spring School on Strings, Cosmology and Particles (SSSCP2009), March 31-4 2009, Belgrade/Nis, Serbia

Metodo Monte Carlo -Wang Landau

Wang-Landau Monte Carlo simulation is a method for calculating the density of states function which can then be used to calculate thermodynamic properties like the mean value of variables. It improves on traditional Monte Carlo methods which struggle at low temperatures due to complicated energy landscapes with many local minima separated by large barriers. The Wang-Landau algorithm calculates the density of states function directly rather than relying on sampling configurations, allowing it to overcome barriers and fully explore the configuration space even at low temperatures.

BNL_Research_Report

This document presents results from a lattice QCD calculation of the proton isovector scalar charge (gs) at two light quark masses. The calculation uses domain-wall fermions and Iwasaki gauge actions on a 323x64 lattice with a spacing of 0.144 fm. Ratios of three-point to two-point correlation functions are formed and fit to a plateau to extract gs. Values of gs are obtained for quark masses of 0.0042 and 0.001, and all-mode averaging is used for the lighter mass. Chiral perturbation theory will be used to extrapolate gs to the physical quark mass. Preliminary results for gs at the unphysical quark masses are reported in lattice units.

Kalman_Filter_Report

The document describes a discrete-time Kalman filter implemented in Matlab to estimate the position and velocity of an underwater target. It defines the state vector, system model, and measurement model. Process and measurement noise are added through the Q and R matrices. Simulation results show the position error converges initially and remains small by the end.

“Solving QCD: from BG/P to BG/Q”. Prof. Dr. Attilio Cucchieri – IFSC/USP.

This document discusses quantum chromodynamics (QCD) and efforts to solve it using numerical simulations on supercomputers. It begins by explaining that quarks make up hadrons like protons and neutrons, and that QCD describes the strong force between quarks via the exchange of gluons. While QCD's mathematical formulation is similar to QED, gluons interact with each other due to their own color charge. This results in quark confinement and the non-perturbative nature of QCD at low energies. The document then outlines how Wilson introduced the idea of putting QCD on a lattice to prove confinement, and how modern numerical simulations evaluate QCD propagators and vertices on large lattices using Monte Carlo methods run in parallel on

Methods available in WIEN2k for the treatment of exchange and correlation ef...

This document summarizes methods available in the WIEN2k software for treating exchange and correlation effects beyond semilocal density functional theory. It discusses the semilocal generalized gradient approximation and meta-GGA functionals, the modified Becke-Johnson potential for improving band gaps, dispersion correction methods, and on-site corrections like DFT+U and hybrid functionals for strongly correlated materials. Input parameters and keywords for selecting these methods in the WIEN2k code are also outlined.

BNL_Research_Poster

This document describes a lattice QCD computation of the proton isovector scalar charge (gs) at two unphysical quark masses. Jackknife statistics and all-mode averaging techniques are used to calculate correlation functions from Monte Carlo simulations, which are then fitted and extrapolated to obtain gs at the physical quark mass. Results show the unrenormalized values of gs computed at quark masses of 0.0042 and 0.0015, with the goal of constraining gs through precise theoretical calculations needed to interpret experimental measurements.

Localized Electrons with Wien2k

Localized Electrons with Wien2k
LDA+U, EECE, MLWF, DMFT
Elias Assmann
Vienna University of Technology, Institute for Solid State Physics
WIEN2013@PSU, Aug 14

Ecl astana 28_september_2017_shrt

- The document discusses going beyond the standard model of cosmology which assumes a flat Lambda Cold Dark Matter (LCDM) universe with a power-law primordial spectrum.
- It suggests that the universe could be more complicated and that extensions to the standard model need to be properly investigated using advanced statistical methods and high quality observational data.
- Examples of possible extensions discussed include allowing the primordial power spectrum to take on different forms beyond a simple power law, or exploring the possibility that dark energy is not a cosmological constant.

How to design a linear control system

How to design a linear control system?
in this article you can learn designing of a linear control system.

Germany2003 gamg

This document outlines a generalized framework for algebraic multigrid (AMG) methods. The framework separates the construction of coarse-grid correction into ensuring the quality of the coarse grid using compatible relaxation (CR) and ensuring the quality of interpolation for a given coarse grid. Several variants of CR are defined that can be used to efficiently measure and select coarse grids. The generalized theory allows for any type of smoother and various coarsening approaches. Future work will explore using CR in practice, including automatically choosing or modifying smoothers.

Phonons & Phonopy: Pro Tips (2014)

This document provides an overview of phonons and lattice dynamics as well as tips for using the phonopy software package. It discusses the theory of phonons in crystals and the harmonic and quasi-harmonic approximations. It also outlines the workflow for using phonopy to calculate forces, construct the dynamical matrix, and post-process results to obtain phonon dispersions, densities of states, and thermal properties. Helpful tips are provided for optimizing VASP settings for force calculations and manipulating phonopy settings and output files.

PDE Constrained Optimization and the Lambert W-Function

This document discusses using the Lambert W-function to solve partial differential equations (PDEs) that arise from optimization problems with PDE constraints. It first presents an example optimization problem involving minimizing the difference between a disk's actual and ideal temperature distributions. Solving the resulting PDE system may involve the Lambert W-function. It then briefly introduces the Lambert W-function and shows how it relates solutions of linear and nonlinear differential equations. Finally, it presents another nonlinear PDE whose solution involves the Lambert W-function.

Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...

The document describes a verified optimizer for quantum circuits called VOQC. VOQC is implemented in Coq and consists of 8000 lines of code. It performs optimizations like gate propagation, cancellation, and merging on quantum circuits represented using a Small Quantum Intermediate Representation (SQIR). The optimizations are formally verified to be semantics-preserving by proving properties like circuits having the same effect on basis states. An example shows X and Z gate propagation rules and their associated proofs. The goal is to build a fully verified compiler stack for quantum programs.

Bin packing

The document analyzes the performance of different bin-packing heuristics. It finds that the Next-Fit heuristic is the fastest, taking O(n) time, while First-Fit and First-Fit-Decreasing are the slowest at O(n^2) time. The Max-Rest heuristic can be optimized to O(n log n) time by using a priority queue. Various optimizations are discussed that improve the performance of heuristics like using mapping/lookup tables or sorting objects by size.

185817220 7e chapter5sm-final-newfrank-white-fluid-mechanics-7th-ed-ch-5-solu...

This document summarizes the solutions to several problems involving dimensional analysis. Some key points:
- Problem 5.1 calculates the volume flow rate needed for transition to turbulence in a pipe based on given parameters.
- Problem 5.2 uses dimensional analysis to determine the prototype velocity matched by a scale model wind tunnel test.
- Problem 5.6 calculates the expected drag force on a scale model parachute based on full-scale test data, showing the forces are exactly the same due to dynamic similarity.

A study of the worst case ratio of a simple algorithm for simple assembly lin...

This document summarizes a study on a simple heuristic for solving the Simple Assembly Line Balancing Problem (SALBP). It presents two greedy heuristics - Next-Fit and First-Fit - for solving the SALBP. The Next-Fit heuristic achieves a worst-case ratio of 2, which is proven to be tight. An example is provided to show that the First-Fit heuristic also has a worst-case ratio of 2. Sorting tasks by Ranked Positional Weight before applying First-Fit can find the optimal solution for some instances but the worst-case ratio remains 2 when using Next-Fit.

NUMERICAL METHODS IN STEADY STATE, 1D and 2D HEAT CONDUCTION- Part-II

This document discusses numerical methods for solving steady-state 1D and 2D heat conduction problems. It describes the relaxation method, Gaussian elimination method, and Gauss-Siedel iteration method for solving systems of simultaneous algebraic equations arising in heat conduction analyses. The Gaussian elimination and matrix inversion methods use matrix operations to systematically eliminate variables. The Gauss-Siedel iteration method iteratively solves for each variable using the most recently calculated values of other variables until convergence is reached. Examples are provided to illustrate each numerical solution technique.

Multi-Fidelity Optimization of a High Speed, Foil-Assisted Catamaran for Low ...

This document discusses a multi-fidelity optimization of a high-speed, foil-assisted catamaran design for low wake in Puget Sound. It describes the motivation and objectives to reduce vessel wake through hull geometry optimization and lifting surfaces. It outlines the computational models, including a low-fidelity potential flow model and high-fidelity URANS model. It also discusses the multi-objective global optimization approach, including parameterization methods, interpolation methods, and optimization algorithms. The document notes that results will include the final optimized design and sea trial validation.

discrete-hmm

The document describes a method called the "Four Russians method" to speed up Bayesian Hidden Markov Model (HMM) classification by exploiting repetition in long observation sequences. The key ideas are to break the observation sequence into blocks of length k and compute the forward variables only at block boundaries, and to sample the hidden state sequence block-by-block from the backward-forward distribution rather than the full backward distribution. This reduces the computational complexity from O(TN^2) to O(TNk/k^2) = O(TN/k).

videoMotionTrackingPCA

Four experiments were conducted using a paint can hanging from a spring. In the first experiment, the paint can oscillated purely vertically, and PCA isolated this behavior in a single principal component, capturing 95% of the variance. When noise was added by shaking the cameras in the second experiment, PCA was still able to isolate the oscillatory behavior but with less accuracy. In experiments three and four where the paint can moved in both vertical and horizontal directions, PCA extracted the multidimensional behavior with the expected rank and reasonable accuracy.

A0730103

This document discusses characterization of countably normed nuclear spaces. It begins by defining countably normed spaces and providing an example using Kothe sequence spaces. It then proves that a nuclear Frechet space is countably normed if and only if it is isomorphic to a subspace of a nuclear Kothe space with a continuous norm. This nuclear Kothe space can be chosen to be a quotient of the space (s). The proof constructs a Kothe space K(a) and shows that the original space can be continuously embedded as a subspace of K(a).

H213949

This document presents a comparative study of the dynamic optical filtering and temperature sensing capabilities of one-dimensional binary and ternary photonic crystals (PHCs). The study finds that:
1) The binary PHC shows four optical bandgaps compared to seven bandgaps in the ternary PHC.
2) For temperatures between 100-700K, both PHCs show improved temperature sensing effectiveness as temperature increases, except for the first bandgap of the binary and the first two bandgaps of the ternary.
3) The binary PHC performs better as a temperature sensor between 840-1100nm, but the ternary PHC outperforms at longer wavelengths.
4)

Pairing scott

This document discusses efficient implementation of cryptographic pairings. It begins by introducing pairings and their properties like bilinearity. It describes the hard computational problems that pairings are based on and how suitable elliptic curves and algorithms like the Tate pairing can be used to implement pairings securely. The document then discusses optimizations to the basic Tate pairing algorithm as well as other pairing-friendly curves and pairings like the Ate pairing. It also covers efficient arithmetic in extension fields and techniques for fast final exponentiation.

D. Vulcanov, REM — the Shape of Potentials for f(R) Theories in Cosmology and...

This document summarizes a presentation given at the 2013 Balkan Workshop in Vrnjacka Banja, Serbia on using the "reverse engineering method" (REM) to model cosmology. The presentation reviewed REM and how it can be used to determine scalar field potentials from a given scale factor evolution. Computer programs for numerically and graphically processing REM with different cosmologies were discussed. Examples presented included regular and tachyonic potentials, and cosmology with non-minimally coupled scalar fields and f(R) gravity. Specific examples plotted potentials and scale factors for exponential and linear expansion universes. The presentation concluded with references for further reading on REM and its applications in cosmology.

Introduction to cosmology and numerical cosmology (with the Cactus code) (1/2)

This document provides an introduction to cosmology and numerical cosmology using the Cactus code. It discusses scalar fields and cosmic acceleration, the theoretical background of general relativity equations for cosmology, and how the Cactus code can be used to model cosmological solutions numerically by solving the Einstein field equations. The document also presents some example simulations done with the Cactus code showing merging black holes and neutron stars.

PART II.1 - Modern Physics

1) The document provides an overview of the contents of Part II of a slideshow on modern physics, which covers topics such as charge and current densities, electromagnetic induction, Maxwell's equations, special relativity, tensors, blackbody radiation, photons, electrons, scattering problems, and waves.
2) It aims to provide a brief yet modern review of foundational concepts in electromagnetism and set the stage for introducing special relativity, quantum mechanics, and matter waves for undergraduate students.
3) The overview highlights that succeeding chapters will develop tensor formulations of electromagnetism and special relativity from first principles before discussing applications like blackbody radiation and early quantum models.

first research paper

This document summarizes work exploring the use of CUDA GPUs and Cell processors to accelerate a gravitational wave source-modelling application called the EMRI Teukolsky code. The code models gravitational waves generated by a small compact object orbiting a supermassive black hole. The authors implemented the code on a Cell processor and Nvidia GPU using CUDA. They were able to achieve over an order of magnitude speedup compared to a CPU implementation by leveraging the parallelism of these hardware accelerators.

BNL_Research_Poster

This document describes a lattice QCD computation of the proton isovector scalar charge (gs) at two unphysical quark masses. Jackknife statistics and all-mode averaging techniques are used to calculate correlation functions from Monte Carlo simulations, which are then fitted and extrapolated to obtain gs at the physical quark mass. Results show the unrenormalized values of gs computed at quark masses of 0.0042 and 0.0015, with the goal of constraining gs through precise theoretical calculations needed to interpret experimental measurements.

Localized Electrons with Wien2k

Localized Electrons with Wien2k
LDA+U, EECE, MLWF, DMFT
Elias Assmann
Vienna University of Technology, Institute for Solid State Physics
WIEN2013@PSU, Aug 14

Ecl astana 28_september_2017_shrt

- The document discusses going beyond the standard model of cosmology which assumes a flat Lambda Cold Dark Matter (LCDM) universe with a power-law primordial spectrum.
- It suggests that the universe could be more complicated and that extensions to the standard model need to be properly investigated using advanced statistical methods and high quality observational data.
- Examples of possible extensions discussed include allowing the primordial power spectrum to take on different forms beyond a simple power law, or exploring the possibility that dark energy is not a cosmological constant.

How to design a linear control system

How to design a linear control system?
in this article you can learn designing of a linear control system.

Germany2003 gamg

This document outlines a generalized framework for algebraic multigrid (AMG) methods. The framework separates the construction of coarse-grid correction into ensuring the quality of the coarse grid using compatible relaxation (CR) and ensuring the quality of interpolation for a given coarse grid. Several variants of CR are defined that can be used to efficiently measure and select coarse grids. The generalized theory allows for any type of smoother and various coarsening approaches. Future work will explore using CR in practice, including automatically choosing or modifying smoothers.

Phonons & Phonopy: Pro Tips (2014)

This document provides an overview of phonons and lattice dynamics as well as tips for using the phonopy software package. It discusses the theory of phonons in crystals and the harmonic and quasi-harmonic approximations. It also outlines the workflow for using phonopy to calculate forces, construct the dynamical matrix, and post-process results to obtain phonon dispersions, densities of states, and thermal properties. Helpful tips are provided for optimizing VASP settings for force calculations and manipulating phonopy settings and output files.

PDE Constrained Optimization and the Lambert W-Function

This document discusses using the Lambert W-function to solve partial differential equations (PDEs) that arise from optimization problems with PDE constraints. It first presents an example optimization problem involving minimizing the difference between a disk's actual and ideal temperature distributions. Solving the resulting PDE system may involve the Lambert W-function. It then briefly introduces the Lambert W-function and shows how it relates solutions of linear and nonlinear differential equations. Finally, it presents another nonlinear PDE whose solution involves the Lambert W-function.

Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...

The document describes a verified optimizer for quantum circuits called VOQC. VOQC is implemented in Coq and consists of 8000 lines of code. It performs optimizations like gate propagation, cancellation, and merging on quantum circuits represented using a Small Quantum Intermediate Representation (SQIR). The optimizations are formally verified to be semantics-preserving by proving properties like circuits having the same effect on basis states. An example shows X and Z gate propagation rules and their associated proofs. The goal is to build a fully verified compiler stack for quantum programs.

Bin packing

The document analyzes the performance of different bin-packing heuristics. It finds that the Next-Fit heuristic is the fastest, taking O(n) time, while First-Fit and First-Fit-Decreasing are the slowest at O(n^2) time. The Max-Rest heuristic can be optimized to O(n log n) time by using a priority queue. Various optimizations are discussed that improve the performance of heuristics like using mapping/lookup tables or sorting objects by size.

185817220 7e chapter5sm-final-newfrank-white-fluid-mechanics-7th-ed-ch-5-solu...

This document summarizes the solutions to several problems involving dimensional analysis. Some key points:
- Problem 5.1 calculates the volume flow rate needed for transition to turbulence in a pipe based on given parameters.
- Problem 5.2 uses dimensional analysis to determine the prototype velocity matched by a scale model wind tunnel test.
- Problem 5.6 calculates the expected drag force on a scale model parachute based on full-scale test data, showing the forces are exactly the same due to dynamic similarity.

A study of the worst case ratio of a simple algorithm for simple assembly lin...

This document summarizes a study on a simple heuristic for solving the Simple Assembly Line Balancing Problem (SALBP). It presents two greedy heuristics - Next-Fit and First-Fit - for solving the SALBP. The Next-Fit heuristic achieves a worst-case ratio of 2, which is proven to be tight. An example is provided to show that the First-Fit heuristic also has a worst-case ratio of 2. Sorting tasks by Ranked Positional Weight before applying First-Fit can find the optimal solution for some instances but the worst-case ratio remains 2 when using Next-Fit.

NUMERICAL METHODS IN STEADY STATE, 1D and 2D HEAT CONDUCTION- Part-II

This document discusses numerical methods for solving steady-state 1D and 2D heat conduction problems. It describes the relaxation method, Gaussian elimination method, and Gauss-Siedel iteration method for solving systems of simultaneous algebraic equations arising in heat conduction analyses. The Gaussian elimination and matrix inversion methods use matrix operations to systematically eliminate variables. The Gauss-Siedel iteration method iteratively solves for each variable using the most recently calculated values of other variables until convergence is reached. Examples are provided to illustrate each numerical solution technique.

Multi-Fidelity Optimization of a High Speed, Foil-Assisted Catamaran for Low ...

This document discusses a multi-fidelity optimization of a high-speed, foil-assisted catamaran design for low wake in Puget Sound. It describes the motivation and objectives to reduce vessel wake through hull geometry optimization and lifting surfaces. It outlines the computational models, including a low-fidelity potential flow model and high-fidelity URANS model. It also discusses the multi-objective global optimization approach, including parameterization methods, interpolation methods, and optimization algorithms. The document notes that results will include the final optimized design and sea trial validation.

discrete-hmm

The document describes a method called the "Four Russians method" to speed up Bayesian Hidden Markov Model (HMM) classification by exploiting repetition in long observation sequences. The key ideas are to break the observation sequence into blocks of length k and compute the forward variables only at block boundaries, and to sample the hidden state sequence block-by-block from the backward-forward distribution rather than the full backward distribution. This reduces the computational complexity from O(TN^2) to O(TNk/k^2) = O(TN/k).

videoMotionTrackingPCA

Four experiments were conducted using a paint can hanging from a spring. In the first experiment, the paint can oscillated purely vertically, and PCA isolated this behavior in a single principal component, capturing 95% of the variance. When noise was added by shaking the cameras in the second experiment, PCA was still able to isolate the oscillatory behavior but with less accuracy. In experiments three and four where the paint can moved in both vertical and horizontal directions, PCA extracted the multidimensional behavior with the expected rank and reasonable accuracy.

A0730103

This document discusses characterization of countably normed nuclear spaces. It begins by defining countably normed spaces and providing an example using Kothe sequence spaces. It then proves that a nuclear Frechet space is countably normed if and only if it is isomorphic to a subspace of a nuclear Kothe space with a continuous norm. This nuclear Kothe space can be chosen to be a quotient of the space (s). The proof constructs a Kothe space K(a) and shows that the original space can be continuously embedded as a subspace of K(a).

H213949

This document presents a comparative study of the dynamic optical filtering and temperature sensing capabilities of one-dimensional binary and ternary photonic crystals (PHCs). The study finds that:
1) The binary PHC shows four optical bandgaps compared to seven bandgaps in the ternary PHC.
2) For temperatures between 100-700K, both PHCs show improved temperature sensing effectiveness as temperature increases, except for the first bandgap of the binary and the first two bandgaps of the ternary.
3) The binary PHC performs better as a temperature sensor between 840-1100nm, but the ternary PHC outperforms at longer wavelengths.
4)

Pairing scott

This document discusses efficient implementation of cryptographic pairings. It begins by introducing pairings and their properties like bilinearity. It describes the hard computational problems that pairings are based on and how suitable elliptic curves and algorithms like the Tate pairing can be used to implement pairings securely. The document then discusses optimizations to the basic Tate pairing algorithm as well as other pairing-friendly curves and pairings like the Ate pairing. It also covers efficient arithmetic in extension fields and techniques for fast final exponentiation.

BNL_Research_Poster

BNL_Research_Poster

Localized Electrons with Wien2k

Localized Electrons with Wien2k

Ecl astana 28_september_2017_shrt

Ecl astana 28_september_2017_shrt

How to design a linear control system

How to design a linear control system

Germany2003 gamg

Germany2003 gamg

Phonons & Phonopy: Pro Tips (2014)

Phonons & Phonopy: Pro Tips (2014)

PDE Constrained Optimization and the Lambert W-Function

PDE Constrained Optimization and the Lambert W-Function

Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...

Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...

Bin packing

Bin packing

185817220 7e chapter5sm-final-newfrank-white-fluid-mechanics-7th-ed-ch-5-solu...

185817220 7e chapter5sm-final-newfrank-white-fluid-mechanics-7th-ed-ch-5-solu...

A study of the worst case ratio of a simple algorithm for simple assembly lin...

A study of the worst case ratio of a simple algorithm for simple assembly lin...

NUMERICAL METHODS IN STEADY STATE, 1D and 2D HEAT CONDUCTION- Part-II

NUMERICAL METHODS IN STEADY STATE, 1D and 2D HEAT CONDUCTION- Part-II

Multi-Fidelity Optimization of a High Speed, Foil-Assisted Catamaran for Low ...

Multi-Fidelity Optimization of a High Speed, Foil-Assisted Catamaran for Low ...

discrete-hmm

discrete-hmm

videoMotionTrackingPCA

videoMotionTrackingPCA

A0730103

A0730103

H213949

H213949

Pairing scott

Pairing scott

D. Vulcanov, REM — the Shape of Potentials for f(R) Theories in Cosmology and...

This document summarizes a presentation given at the 2013 Balkan Workshop in Vrnjacka Banja, Serbia on using the "reverse engineering method" (REM) to model cosmology. The presentation reviewed REM and how it can be used to determine scalar field potentials from a given scale factor evolution. Computer programs for numerically and graphically processing REM with different cosmologies were discussed. Examples presented included regular and tachyonic potentials, and cosmology with non-minimally coupled scalar fields and f(R) gravity. Specific examples plotted potentials and scale factors for exponential and linear expansion universes. The presentation concluded with references for further reading on REM and its applications in cosmology.

Introduction to cosmology and numerical cosmology (with the Cactus code) (1/2)

This document provides an introduction to cosmology and numerical cosmology using the Cactus code. It discusses scalar fields and cosmic acceleration, the theoretical background of general relativity equations for cosmology, and how the Cactus code can be used to model cosmological solutions numerically by solving the Einstein field equations. The document also presents some example simulations done with the Cactus code showing merging black holes and neutron stars.

PART II.1 - Modern Physics

1) The document provides an overview of the contents of Part II of a slideshow on modern physics, which covers topics such as charge and current densities, electromagnetic induction, Maxwell's equations, special relativity, tensors, blackbody radiation, photons, electrons, scattering problems, and waves.
2) It aims to provide a brief yet modern review of foundational concepts in electromagnetism and set the stage for introducing special relativity, quantum mechanics, and matter waves for undergraduate students.
3) The overview highlights that succeeding chapters will develop tensor formulations of electromagnetism and special relativity from first principles before discussing applications like blackbody radiation and early quantum models.

first research paper

This document summarizes work exploring the use of CUDA GPUs and Cell processors to accelerate a gravitational wave source-modelling application called the EMRI Teukolsky code. The code models gravitational waves generated by a small compact object orbiting a supermassive black hole. The authors implemented the code on a Cell processor and Nvidia GPU using CUDA. They were able to achieve over an order of magnitude speedup compared to a CPU implementation by leveraging the parallelism of these hardware accelerators.

Article 1st

1) The document discusses the exact solution to the Klein-Gordon shutter problem, finding that the wave function does not resemble the optical expression for diffraction but the charge density does show transient oscillations resembling a diffraction pattern.
2) It presents the exact solution for the Klein-Gordon shutter problem using discontinuous initial conditions, finding the wave function solution differs from Moshinsky's approximation.
3) When the exact relativistic charge density is plotted over time, it shows transient oscillations that resemble a diffraction pattern, despite some relativistic differences, demonstrating that diffraction in time exists in relativistic scenarios.

D. Vulcanov - On Cosmologies with non-Minimally Coupled Scalar Field and the ...

The SEENET-MTP Workshop BW2011
Particle Physics from TeV to Plank Scale
28 August – 1 September 2011, Donji Milanovac, Serbia

DOI: 10.1007/s10773-009-0027-9

Quantum-Gravity Thermodynamics, Incorporating the Theory of Exactly Soluble Active Stochastic Processes, with Applications
by Daley, K.
Published in IJTP in 2009. http://adsabs.harvard.edu/abs/2009IJTP..tmp...67D

Numerical Analysis Assignment Help

This document contains solutions to several problems involving vector calculus and partial differential equations.
For problem 1, key points include: deriving an identity involving curl and dot products; showing that curl is self-adjoint under certain boundary conditions where the vector field is parallel to the boundary normal; and explaining how Maxwell's equations with these boundary conditions would produce oscillating electromagnetic wave solutions.
Problem 2 involves solving the eigenproblem for the Laplacian in an annular region using separation of variables. Continuity conditions at the inner and outer radii lead to a transcendental equation determining the eigenvalues.
Problem 3 examines eigenproblems for the Laplacian and curl operators, showing they are self-adjoint and obtaining matrix and finite difference

N. Bilić: AdS Braneworld with Back-reaction

- A 3-brane moving in an AdS5 background of the Randall-Sundrum model behaves like a tachyon field with an inverse quartic potential.
- When including the back-reaction of the radion field, the tachyon Lagrangian is modified by its interaction with the radion. As a result, the effective equation of state obtained by averaging over large scales describes a warm dark matter.
- The dynamical brane causes two effects of back-reaction: 1) the geometric tachyon affects the bulk geometry, and 2) the back-reaction qualitatively changes the tachyon by forming a composite substance with the radion and a modified equation of state.

68th ICREA Colloquium "Results from the LHC Run II" by Mario Martínez

The document discusses results from the Large Hadron Collider (LHC) Run II at CERN. It provides an overview of the Standard Model of particle physics and the Higgs mechanism which gives particles mass. It describes the LHC, ATLAS detector, and their success in Run I discovering the Higgs boson. For Run II, it notes increased beam energy of 13 TeV and the prospect of new physics results from ATLAS and opportunities to probe beyond the Standard Model.

Chem140alecture3.ppt

The document discusses the effective mass approximation in quantum mechanics. It begins by defining the effective mass as inversely proportional to the curvature of energy bands. Having a effective mass allows electrons in crystals to be treated similarly to classical particles, with the crystal forces and quantum properties accounted for in the mass. The effective mass can be a tensor and depends on the crystal direction. It then discusses measuring the effective mass using cyclotron resonance and how it varies by crystallographic direction. In general, the effective mass incorporates the quantum mechanical behavior of electrons in crystals to allow a classical particle treatment.

Problem and solution i ph o 11

This document summarizes the problems presented at the 11th International Olympiad in Physics held in Moscow, USSR in July 1979. Teams from 11 countries participated in the theoretical and experimental competitions. The theoretical problems covered topics like calculating fuel needed for a space rocket landing maneuver, determining minimum mass needed to detect a difference in balance readings in dry vs humid air, and calculating light reflection from the moon. The experimental problem tasked participants with determining the electrical circuit and component parameters of a "black box" containing an unknown transformer circuit.

Universe from nothing

1) A new cosmological model is proposed where the universe is spontaneously created from nothing via quantum tunneling into a de Sitter space.
2) After tunneling, the model evolves according to the inflationary scenario, avoiding the big bang singularity and not requiring initial conditions.
3) The model suggests that the universe was created via quantum tunneling from a state of literally nothing into a de Sitter space, which then evolved into the expanding universe we observe according to known physics.

"Warm tachyon matter" - N. Bilic

- The document discusses a braneworld model where a 3-brane moves in a 5-dimensional anti-de Sitter bulk. The brane behaves effectively as a tachyon field with an inverse quartic potential.
- When the backreaction of the radion field (related to fluctuations of the brane position) is included, the tachyon Lagrangian is modified by its interaction with the radion. This results in an effective equation of state at large scales that describes "warm dark matter".
- The model extends the second Randall-Sundrum braneworld model to include nonlinear effects from the radion field, which distorts the anti-de Sitter geometry.

statistical physics assignment help

The document provides contact information for Statistics Homework Helper, including their website, email address, and phone number. It offers help with Statistics Homework through online tutoring services.

Fundamental principle of information to-energy conversion.

Abstract. - The equivalence of 1 bit of information to entropy was given by Landauer in 1961 as kln2, k the Boltzmann constant. Erasing information implies heat dissipation and the energy of 1 bit would then be (the
Landauer´s limit) kT ln 2, T being the ambient temperature. From a quantum-cosmological point of view the minimum quantum of energy in the universe corresponds today to a temperature of 10^-29 ºK, probably forming a cosmic background of a Bose condensate [1]. Then, the bit with minimum energy today in the Universe is a quantum of energy 10^-45 ergs, with an equivalent mass of 10^-66 g. Low temperature implies low energy per bit and, of course, this is the way for faster and less energy dissipating computing devices. Our conjecture is this: the possibility of a future access to the CBBC (a coupling/channeling?) would mean a huge
jump in the performance of these devices.

Dirac's Positron

Paul Dirac developed an equation to describe the dynamics of electrons in a way that was consistent with both special relativity and quantum mechanics. His equation predicted the existence of positrons - particles identical to electrons but with the opposite charge. Dirac's equation allowed for negative energy solutions, which he interpreted as occupied states in a "Dirac sea". Unoccupied positive energy states could be described as holes in the sea, behaving as positively charged particles, which came to be known as positrons. Dirac's prediction was confirmed in 1932 when Carl Anderson discovered the positron through his experiments with cosmic rays.

Dr. Arpan Bhattacharyya (Indian Institute Of Science, Bangalore)

1. The document discusses entanglement entropy functionals for higher derivative gravity theories. It proposes new area functionals for computing entanglement entropy in higher derivative theories containing polynomials of curvature tensors.
2. These functionals are derived using the Lewkowycz-Maldacena interpretation of generalized entropy. However, attempting to derive the extremal surface equations from these functionals using bulk equations of motion leads to inconsistencies and ambiguities in some higher derivative theories like Gauss-Bonnet gravity.
3. The document suggests that the source of ambiguity lies in the limiting procedure used to extract the divergences near the conical singularity. Different limiting paths can lead to different extremal surface equations, indicating no unique prescription

Physical Chemistry Homework Help

I am Peterson N. I am a Physical Chemistry Assignment Expert at eduassignmenthelp.com. I hold a Ph.D. in Physical Chemistry, University of Melbourne, Australia. I have been helping students with their homework for the past 8 years. I solve assignments related to Physical Chemistry.
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Causality in special relativity

1. The document discusses causality and relativity of simultaneity using spacetime diagrams. It explains that nothing can travel faster than the speed of light based on analyses of pole-barn paradox scenarios and Lorentz transformations.
2. Key concepts from special relativity are reviewed, including Lorentz transformations, 4-vectors like 4-displacement and 4-velocity, proper time, rest mass, 4-momentum, and conservation of 4-momentum. Collisions are also discussed in relation to conservation of 4-momentum.
3. Causality is maintained in special relativity because the order of events cannot be reversed between reference frames if they are causally connected within or on each other's light cones. Faster-

D. Vulcanov, REM — the Shape of Potentials for f(R) Theories in Cosmology and...

D. Vulcanov, REM — the Shape of Potentials for f(R) Theories in Cosmology and...

Introduction to cosmology and numerical cosmology (with the Cactus code) (1/2)

Introduction to cosmology and numerical cosmology (with the Cactus code) (1/2)

PART II.1 - Modern Physics

PART II.1 - Modern Physics

first research paper

first research paper

Article 1st

Article 1st

D. Vulcanov - On Cosmologies with non-Minimally Coupled Scalar Field and the ...

D. Vulcanov - On Cosmologies with non-Minimally Coupled Scalar Field and the ...

DOI: 10.1007/s10773-009-0027-9

DOI: 10.1007/s10773-009-0027-9

Numerical Analysis Assignment Help

Numerical Analysis Assignment Help

N. Bilić: AdS Braneworld with Back-reaction

N. Bilić: AdS Braneworld with Back-reaction

68th ICREA Colloquium "Results from the LHC Run II" by Mario Martínez

68th ICREA Colloquium "Results from the LHC Run II" by Mario Martínez

Chem140alecture3.ppt

Chem140alecture3.ppt

Problem and solution i ph o 11

Problem and solution i ph o 11

Universe from nothing

Universe from nothing

"Warm tachyon matter" - N. Bilic

"Warm tachyon matter" - N. Bilic

statistical physics assignment help

statistical physics assignment help

Fundamental principle of information to-energy conversion.

Fundamental principle of information to-energy conversion.

Dirac's Positron

Dirac's Positron

Dr. Arpan Bhattacharyya (Indian Institute Of Science, Bangalore)

Dr. Arpan Bhattacharyya (Indian Institute Of Science, Bangalore)

Physical Chemistry Homework Help

Physical Chemistry Homework Help

Causality in special relativity

Causality in special relativity

SEENET-MTP Booklet - 15 years

The document summarizes the Southeastern European Network in Mathematical and Theoretical Physics (SEENET-MTP). It was established in 2003 with participants from several Balkan countries to provide institutional capacity building in mathematical and theoretical physics. It has grown to include over 450 individual members from 15 full network nodes and 8 other network nodes across Southeastern Europe. Over the past 15 years, the SEENET-MTP has realized over 18 projects, held 30 network meetings, facilitated over 300 exchanges, and generated over 225 joint scientific papers and 15 publications. The network continues to promote research collaboration in mathematical and theoretical physics across the region.

Milan Milošević "The shape of Fe Kα line emitted from relativistic accretion ...

The document discusses simulations of the Fe Kα emission line from accretion disks around supermassive black holes (SMBHs) in active galactic nuclei (AGN). Ray tracing simulations in Kerr spacetime were used to model the line profiles for different black hole spins, disk radii, inclinations, and emissivity profiles. Relativistic effects like Doppler shifts and gravitational redshift distort the line profiles. Comparisons with observed profiles can determine SMBH properties like mass and spin, providing insights into plasma physics and strong gravity near AGN.

Ivan Dimitrijević "Nonlocal cosmology"

This document discusses nonlocal cosmology and modifications to Einstein's theory of gravity. It presents three cases of nonlocal modified gravity models:
1. When P(R)=R and Q(R)=R, nonsingular bounce cosmological solutions were found with scale factor a(t)=a0(σeλt+τe-λt).
2. When P(R)=R-1 and Q(R)=R, several power-law cosmological solutions were obtained, including a(t)=a0|t-t0|α.
3. For the case P(R)=Rp and Q(R)=Rq, the trace and 00 equations of motion were transformed into an equivalent

Dragoljub Dimitrijević "Tachyon Inflation in the RSII Framework"

This document summarizes research on tachyon inflation in an anti-de Sitter (AdS) braneworld framework. The researchers study a tachyon field on a dynamical 3-brane embedded in a 5-dimensional AdS bulk spacetime. They derive the equations of motion for the tachyon field and radion field in this braneworld cosmology. Dimensionless equations are obtained and numerical results show that the model can produce over 60 e-folds of inflation with observable parameters consistent with current data. The analysis provides a novel mechanism for tachyon inflation distinct from standard 4D models, with predictions depending on only one free parameter related to the AdS curvature scale.

Vesna Borka Jovanović "Constraining Scalar-Tensor gravity models by S2 star o...

This document summarizes research that uses observations of S-star orbits around the Galactic Center to constrain scalar-tensor gravity models. The authors simulate orbits of the S2 star in scalar-tensor potentials and compare them to observations. They find that certain scalar-tensor parameters produce a better fit to the observed S2 star orbit than Newtonian gravity. In particular, they identify ranges of scalar-tensor coupling constants and self-interaction strengths that are consistent with the orbital precession and trajectory of S2. This allows them to test scalar-tensor theories of gravity using stellar dynamics near the Galactic Center.

Elena Mirela Babalic "Generalized alpha-attractor models for hyperbolic surfa...

This document discusses generalized two-field α-attractor models of inflation where the scalar manifold is any hyperbolic surface rather than just the Poincaré disk. It introduces uniformization techniques to study trajectories on such surfaces by lifting them to the Poincaré half-plane and projecting back. Near the ends of non-compact surfaces, trajectories typically follow spiral paths around ideal points. The document focuses on geometrically finite hyperbolic surfaces and potentials that are well-behaved at the ends.

Dragan Huterer "Novi pogledi na svemir"

Naučno-popularno predavanje / Public talk
SEENET-MTP Balkan Workshop BW2018
10 - 14 June 2018, Niš, Serbia

Mihai Visinescu "Action-angle variables for geodesic motion on resolved metri...

This document discusses complete integrability on various geometries related to the Sasaki-Einstein space T1,1:
1. The geodesic flow on T1,1 space itself is completely integrable, with the Hamiltonian depending on conjugate momenta and conserved quantities like total angular momenta.
2. On the metric cone over T1,1, the geodesic flow separates into independent radial and angular parts. The angular part can be formulated using action-angle variables while the radial part involves unbounded motion.
3. For the resolved metric cone, which involves deformations or resolutions of the conical singularity, the complete integrability structure carries over by extending the action-angle

Sabin Stoica "Double beta decay and neutrino properties"

Double beta decay and its potential to explore beyond Standard Model physics was summarized. Double beta decay is the rarest nuclear decay measured, where a nucleus transforms into another nucleus with the same mass but a change of two units in nuclear charge. It can occur even if single beta decay is forbidden. There are two types of double beta decay processes - two neutrino double beta decay (2νββ) and neutrinoless double beta decay (0νββ). 0νββ decay has the potential to provide information about neutrino properties like mass hierarchy and explore beyond Standard Model physics by constraining parameters associated with different mechanisms that could contribute to 0νββ. Challenges include accurately calculating nuclear matrix elements and reducing background in experiments searching

Yurri Sitenko "Boundary effects for magnetized quantum matter in particle and...

This document discusses boundary conditions for quantized spinor matter fields and their impact on physical systems. It proposes a general boundary condition for spinor fields that ensures the self-adjointness of the Dirac Hamiltonian operator. This boundary condition confines the spinor matter inside spatial boundaries. The condition reduces to the MIT bag boundary condition in a specific case. Quantized spinor fields obeying this boundary condition can be used to study phenomena in hot dense magnetized matter found in particle physics and astrophysics.

Predrag Milenović "Physics potential of HE/HL-LHC and future circular"

The document discusses latest Higgs boson physics results from the LHC and prospects for physics performance at the HL-LHC. Key results presented include measurements of the Higgs boson mass, production cross sections and branching ratios using H→4l and H→γγ decay channels. Differential measurements are also shown. First direct evidence is reported for ttH production in multilepton final states with a significance of 3.3σ. The increased luminosity of the HL-LHC is expected to improve measurements and search sensitivity.

Marija Dimitrijević Ćirić "Matter Fields in SO(2,3)⋆ Model of Noncommutative ...

This document summarizes a talk given at a workshop on field theory and the early universe. The talk discussed a model of noncommutative gravity based on an SO(2,3) gauge theory. Key points:
1) The model treats gravity as an SO(2,3) gauge theory that is spontaneously broken to SO(1,3), relating it to general relativity. An action is constructed and expanded to obtain corrections from noncommutativity.
2) Adding matter fields like spinors and U(1) gauge fields yields modified actions and propagators with corrections depending on the noncommutativity tensor.
3) As an example, the noncommutative Landau problem is solved, giving

Zvonimir Vlah "Lagrangian perturbation theory for large scale structure forma...

This document discusses using Lagrangian perturbation theory and the effective field theory (EFT) approach to model large-scale structure (LSS) formation, including nonlinear effects. Key points include:
- The Lagrangian framework tracks fluid elements as they move due to gravity, described by a displacement field. This allows modeling of shell crossing nonlinearities.
- The EFT approach introduces a stress tensor to account for short-distance effects on long-wavelength modes. Counterterms are included to absorb uncertainties from neglected short-scale physics.
- Power spectrum and correlation function results from the Lagrangian EFT approach match those of the standard Eulerian EFT approach. The Lagrangian approach provides insights into counterterm structures and infrared resummation

Vitaly Vanchurin "General relativity from non-equilibrium thermodynamics of q...

1) The document proposes that general relativity can emerge from quantum mechanics in the limit of many degrees of freedom, similar to how thermodynamics emerges from classical mechanics with many particles.
2) It suggests defining statistical ensembles over wave functions using an "infoton field" to obtain a spatially covariant description of quantum information, represented by an information tensor.
3) A dual theory description of computational complexity is developed using the infoton field, arriving at a Klein-Gordon theory with an inverse metric related to computational parameters like the number of qubits. This provides a space-time covariant description of quantum computation.

Sergey Sibiryakov "Galactic rotation curves vs. ultra-light dark matter: Impl...

The document discusses ultra-light dark matter and its implications for galactic rotation curves. It begins by providing theoretical background on ultra-light dark matter and how it can form soliton cores within dark matter halos. It then discusses how the properties of these soliton cores, such as their mass and size, relate to the properties of the ultra-light dark matter particle. Finally, it discusses how measurements of galactic rotation curves could provide insights into ultra-light dark matter models by probing the presence and characteristics of these soliton cores.

Radoslav Rashkov "Integrable structures in low-dimensional holography and cos...

This document outlines R.C. Rashkov's presentation on integrable structures in low-dimensional holography and cosmology. The presentation covers several topics: (1) the Möbius structure of entanglement entropy and its relation to dispersionless Toda hierarchies, (2) holographic entanglement entropy of excited states, (3) higher spin holography and higher projective invariants, and (4) bulk reconstruction and its consequences. The presentation also discusses conceptual issues regarding the duality between gravity/string theories and gauge theories, such as how information is encoded in the boundary theory and whether spacetime and gravity can emerge from a boundary theory.

Nikola Godinović "The very high energy gamma ray astronomy"

This document discusses using gamma-ray astronomy to study fundamental physics. It outlines how gamma-ray telescopes like IACT arrays and satellites are used to search for dark matter by looking for gamma rays from annihilation. Combining data from Fermi and IACTs like MAGIC improves sensitivity to constrain dark matter models. No evidence of dark matter has been found so far, but future instruments like CTA will provide stronger limits. The document also mentions how gamma-ray observations can probe Lorentz invariance violation and the origin of cosmic rays.

Miroljub Dugić "The concept of Local Time. Quantum-mechanical and cosmologica...

This document discusses the concept of local time from quantum mechanical and cosmological perspectives. It provides a historical overview, discussing Schrodinger's work developing the nonstationary wave equation and Hitoshi Kitada's view that both equations are valid when time is altered. The document then examines the Enss' theorem, which establishes a link between time and Hamiltonian through the dynamical evolution of a system. This leads to a new reading of the Enss' theorem and concept of local time - that time is dynamically generated for each system based on its Hamiltonian. Basic elaborations explore properties of local time, including its inherent uncertainty and role in quantum dynamics.

Cemsinan Deliduman "Astrophysics with Weyl Gravity"

This document summarizes a presentation on astrophysical aspects of Weyl gravity. It discusses how Weyl gravity may help explain galaxy rotation curves without dark matter by having the Einstein-Hilbert term dominate in the inner region and the Weyl term dominate in the outer region. It also examines gravitational lensing predictions in Weyl gravity. Future directions are proposed such as matching interior and exterior solutions, investigating scale invariance breaking, and applications to other astrophysical problems.

Radu Constantinescu "Scientific research: Excellence in International context"

The University of Craiova is located in Craiova, Romania and was founded in 1947. It has over 16,000 students studying across 16 faculties, with the most popular being sciences, economics, and engineering. The university focuses its research efforts on nanosciences, information technology, energy, environment, transport, food and agriculture, and social sciences. It also operates a research hub called INCESA to foster cooperation with industry.

SEENET-MTP Booklet - 15 years

SEENET-MTP Booklet - 15 years

Milan Milošević "The shape of Fe Kα line emitted from relativistic accretion ...

Milan Milošević "The shape of Fe Kα line emitted from relativistic accretion ...

Ivan Dimitrijević "Nonlocal cosmology"

Ivan Dimitrijević "Nonlocal cosmology"

Dragoljub Dimitrijević "Tachyon Inflation in the RSII Framework"

Dragoljub Dimitrijević "Tachyon Inflation in the RSII Framework"

Vesna Borka Jovanović "Constraining Scalar-Tensor gravity models by S2 star o...

Vesna Borka Jovanović "Constraining Scalar-Tensor gravity models by S2 star o...

Elena Mirela Babalic "Generalized alpha-attractor models for hyperbolic surfa...

Elena Mirela Babalic "Generalized alpha-attractor models for hyperbolic surfa...

Dragan Huterer "Novi pogledi na svemir"

Dragan Huterer "Novi pogledi na svemir"

Mihai Visinescu "Action-angle variables for geodesic motion on resolved metri...

Mihai Visinescu "Action-angle variables for geodesic motion on resolved metri...

Sabin Stoica "Double beta decay and neutrino properties"

Sabin Stoica "Double beta decay and neutrino properties"

Yurri Sitenko "Boundary effects for magnetized quantum matter in particle and...

Yurri Sitenko "Boundary effects for magnetized quantum matter in particle and...

Predrag Milenović "Physics potential of HE/HL-LHC and future circular"

Predrag Milenović "Physics potential of HE/HL-LHC and future circular"

Marija Dimitrijević Ćirić "Matter Fields in SO(2,3)⋆ Model of Noncommutative ...

Marija Dimitrijević Ćirić "Matter Fields in SO(2,3)⋆ Model of Noncommutative ...

Zvonimir Vlah "Lagrangian perturbation theory for large scale structure forma...

Zvonimir Vlah "Lagrangian perturbation theory for large scale structure forma...

Vitaly Vanchurin "General relativity from non-equilibrium thermodynamics of q...

Vitaly Vanchurin "General relativity from non-equilibrium thermodynamics of q...

Sergey Sibiryakov "Galactic rotation curves vs. ultra-light dark matter: Impl...

Sergey Sibiryakov "Galactic rotation curves vs. ultra-light dark matter: Impl...

Radoslav Rashkov "Integrable structures in low-dimensional holography and cos...

Radoslav Rashkov "Integrable structures in low-dimensional holography and cos...

Nikola Godinović "The very high energy gamma ray astronomy"

Nikola Godinović "The very high energy gamma ray astronomy"

Miroljub Dugić "The concept of Local Time. Quantum-mechanical and cosmologica...

Miroljub Dugić "The concept of Local Time. Quantum-mechanical and cosmologica...

Cemsinan Deliduman "Astrophysics with Weyl Gravity"

Cemsinan Deliduman "Astrophysics with Weyl Gravity"

Radu Constantinescu "Scientific research: Excellence in International context"

Radu Constantinescu "Scientific research: Excellence in International context"

Bonku-Babus-Friend by Sathyajith Ray (9)

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https://app.box.com/s/nrwz52lilmrw6m5kqeqn83q6vbdp8yzpAndreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...

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Standardized tool for Intelligence test.

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https://app.box.com/s/tacvl9ekroe9hqupdnjruiypvm9rdaneElectric Fetus - Record Store Scavenger Hunt

Electric Fetus is a record store in Minneapolis, MN

Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...

Whether you're new to SEO or looking to refine your existing strategies, this webinar will provide you with actionable insights and practical tips to elevate your nonprofit's online presence.

Haunted Houses by H W Longfellow for class 10

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CHUYÊN ĐỀ ÔN TẬP VÀ PHÁT TRIỂN CÂU HỎI TRONG ĐỀ MINH HỌA THI TỐT NGHIỆP THPT ...

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https://app.box.com/s/qspvswamcohjtbvbbhjad04lg65waylfHow Barcodes Can Be Leveraged Within Odoo 17

In this presentation, we will explore how barcodes can be leveraged within Odoo 17 to streamline our manufacturing processes. We will cover the configuration steps, how to utilize barcodes in different manufacturing scenarios, and the overall benefits of implementing this technology.

Wound healing PPT

This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.

Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt

The History of NZ 1870-1900.
Making of a Nation.
From the NZ Wars to Liberals,
Richard Seddon, George Grey,
Social Laboratory, New Zealand,
Confiscations, Kotahitanga, Kingitanga, Parliament, Suffrage, Repudiation, Economic Change, Agriculture, Gold Mining, Timber, Flax, Sheep, Dairying,

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NIPER 2024 MEMORY BASED QUESTIONS.ANSWERS TO NIPER 2024 QUESTIONS.NIPER JEE 2...

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- 1. Symbolic computation methods in cosmology and general relativity Part II - Maple+GrTensorII programs for cosmology Dumitru N. Vulcanov West University of Timişoara Theoretical and Applied Physics Dept.-“Mircea Zăgănescu” 1
- 2. Introduction Why we need new CA packages for cosmology ? New facts from astrophysical measurements show that the Universe is in an accelerated expansion - quot;cosmic accelerationquot; ! The standard model of the Universe must be reformulated ! One of the solutions is to introduce one or more scalar fields minimally coupled with the gravity to trigger this expansion. New models are proposed daily, demanding new specific computational tools, computer algebra packages included. This is the purpose of our Cosmo library : to provide CA tools for theoretical cosmology, in an environment having all the cosmological parameters and functions defined ! Is entirely done using Maple + GrTensorII ! We will describe Cosmo library in the next slides !!! 2
- 3. Cosmology The Cosmo library is processing Einstein equations : for the Friedmann-Robertson-Walker metric where k=1,-1,0 and R(t) is the scale factor of the Universe 3
- 4. Cosmology The matter content of the Universe is described by the stress-energy tensor : as a scalar field coupled minimally with the gravity and other matter fields separately. Thus we have : where, as for a perfect fluid : 4
- 5. Cosmology For other matter content than the scalar field, the Cosmo library is providing again the stress-energy tensor as a perfect fluid one : with corresponding pressure and density variables. The main cosmological parameters and functions, namely the Hubble quot;constantquot; and the deceleration function are : 5
- 6. The Cosmo library A sequence of GrTensorII and Maple commands for all this follows : > restart;grtw();qload(rob_sons); > grdef(`Scal := Phi(t)`); > grdef(`T1{ i j } := Scal{ ,i } * Scal{ ,j } - g{ i j } * (g{ ^a ^b }*Scal{ ,a }*Scal{ ,b }+ V(t) ) / 2 `); > pphi(t):=diff(Phi(t),t)^2/2/c^2-V(t)/2; epsilonphi(t):=diff(Phi(t),t)^2/2/c^2+V(t)/2; grdef(`u{ i } := -c*kdelta{ i $t}`); > grdef(`T2{ i j } := (epsilon(t) + p(t))*u{ i }*u{ j } + p(t) * g { i j } `); > grdef(`T{ i j } :=T1{ i j } + T2{ i j }`); > grdef(`cons{ i }:= T{ i ^j ;j }`); grcalc(cons(dn)); > EcuKG:=grcomponent(Box[Scal],[]) -DV(t)/2; > grdef(`Ein{ i j } := G{ i j } - 8*Pi*G*T{ i j }/ c^4`); > grcalc(Ein(dn,dn)); gralter(Ein(dn,dn),expand); Where pphi(t) , epsilonphi(t) , p(t) and epsilon(t) are the pressure and density of the scalar field and matter field, respectively. With cons() we denoted the conservation law components for the total stress-energy tensor. The Klein-Gordon equation is EcuKG and DV(t) is the derivative of the potential in terms of the scalar field !!! 6
- 7. The Cosmo library Then follows a sequence of boring grcomponent and gralter commands to extract the main cosmological equations. Finally we substitute the cosmological functions in the resulting MAPLE expressions: > Ecunr1:=expand(simplify(subs(k=K(t)*RR(t)^2,Ecunr1))); > Ecunr2:=expand(simplify(subs(k=K(t)*RR(t)^2,Ecunr2))); > Ecunr1:=subs(diff(RR(t),t)=H(t)*RR(t),Ecunr1); > Ecunr22:=subs(diff(RR(t),t,t)=-2*H(t)^2*RR(t)*Q(t),Ecunr2); > Ecunr22:=subs(diff(RR(t),t)=H(t)*RR(t),Ecunr22); > Ecunr2:=subs(diff(RR(t),t)=H(t)*RR(t),Ecunr2); > Ecunr2:=expand(Ecunr2); > Ecunr2:=subs(diff(RR(t),t)=H(t)*RR(t),Ecunr2); > Ecunr3:=subs(diff(RR(t),t)=H(t)*RR(t),Ecunr3); > EcuKG:=subs(diff(RR(t),t)=H(t)*RR(t),EcuKG); Actually all these commands are transferred in Maple expressions/objects the main comological functions, defined and calculated in GrTensorII. As a result the user will not use anymore GrTensorII !!! 7
- 8. The Cosmo library Thus the program is providing the Klein-Gordon and the conservation law for the scalar field, namely : and the Friedmann equations : 8
- 9. The Cosmo library All this stuff is then saved in a library called cosmo.m and can be loaded for fast processing. As a result all the facilities of MAPLE + GrTensorII are available together with the cosmology environment described above. The library is kept in the main directory of GrTensorII (Grtii(6) for Windows versions or grii in Unix implementations. Then it can be loaded in a Maple worksheet using read or load commands Note : intermediate components of the Ein(i,j) tensor are kept also (apart from Ecunr1...Ecun3 and EcuKG objects) for later use and processing. This makes easy the development of the library for more applications A simple example of how to use and developp the Cosmo library follows ! But first let’s have a short demonstration … 9
- 10. A simple example We shall ilustrate the use and development of the Cosmo library in a specificmodel using the quot;reverse - engineeringquot; method for designing potentials of the scalar field. In the standard cosmology the Friedmann eqs. are solved for a specific potential of the scalar field, initially prescribed from certain physical arguments, and then the time function R(t) is obtained and compared with the astrophysical measurements. In the quot;reverse-engineeringquot; method, the function R(t) is initially prescribed, as much as possible close to the measurements, and then the potential V(t) is obtained from Friedmann eqs, if it is possible ! 10
- 11. A simple example First step : simply solve two of the above Friedmanneqs. to get : Here we have the scalar field as the only matter content of the Universe and geometrical units : c=G=1 For a DeSitter exponential expansion, namely we have, after a sequence of subs and simplify commands : Note : we used an intermediate Maple function for D2Phi(t) ! 11
- 12. A simple example Then, from the last expression we have : The result : equations Ecunr1...Ecunr3 are automatically satisfied and the Klein-Gordone equation becomes : This one is used to check the calculations, solving it for the object DV(t). Therefore DV(t) must fit with the one obtained directly from the scalar field expression above, after eliminating the time... 12
- 13. A simple example Final step : expressing the potential and DV(t) in terms of the scalar field, again after a boring sequence of subs and simplify commands : We need the last expression for DV for our numerical investigations we done, As initial data for numerical eolving the Einsten equations for the scalar field. But this is for the moment out of the goals of this lecture. This was a simple example, just to ilustrate how the things are working with Cosmo library and the reverse engineering method. Other exmples, more complicated, were processed, even with two scalar fields included to simulate different components of the dark-matter and energy ! 13
- 14. Here are some of examples we processed … Ellis –Madsen potentials. Here we denoted with R0 the scale factor at the actual time t0 and with α the quantity φ(t) – φ0 14
- 15. Some references 15
- 16. End of part II But before the break let’s have aagain a demonstration !!! 16