The document discusses spherical CNNs, which are CNNs built for data on spherical domains like the 2-sphere (S2). It notes that the basic building block of CNNs is the cross-correlation (convolution) operation, and that on S2 this can be implemented via Fourier correlation using the Fourier transform. Fourier correlation allows translating filter signals on S2.
This document outlines topics related to computational linguistics and neural networks, including:
1) It discusses machine learning concepts like training data, models, and feedback in machine learning.
2) It then covers neural networks, including how artificial neurons work and how they can be used for tasks like binary classification.
3) The document concludes by discussing how neural language models like word2vec represent words as vectors in a semantic space to model relationships between words.
NTHU AI Reading Group: Improved Training of Wasserstein GANsMark Chang
This document summarizes an NTHU AI Reading Group presentation on improved training of Wasserstein GANs. The presentation covered Wasserstein GANs, the derivation of the Kantorovich-Rubinstein duality, difficulties with weight clipping in WGANs, and a proposed gradient penalty method. It also outlined experiments on architecture robustness using LSUN bedrooms and character-level language modeling.
Introduction to Neural Networks and Deep Learning from ScratchAhmed BESBES
If you're willing to understand how neural networks work behind the scene and debug the back-propagation algorithm step by step by yourself, this presentation should be a good starting point.
We'll cover elements on:
- the popularity of neural networks and their applications
- the artificial neuron and the analogy with the biological one
- the perceptron
- the architecture of multi-layer perceptrons
- loss functions
- activation functions
- the gradient descent algorithm
At the end, there will be an implementation FROM SCRATCH of a fully functioning neural net.
code: https://github.com/ahmedbesbes/Neural-Network-from-scratch
Model Based Fault Detection, Identification and Accommodation in Antilock Bra...Behzad Samadi
1) The document presents a model-based fault detection and identification approach for antilock braking systems (ABS). It develops nonlinear dynamic models for vehicle motion and tire forces.
2) Kalman filtering techniques are used to estimate vehicle states and tire forces based on sensor measurements, and residuals between measurements and estimates are monitored to detect and identify faults.
3) The approach extends previous work by including additional tire force states and their dynamics in the estimation model to improve fault detection performance.
Wellington APAC Groundbreakers tour - SQL Pattern MatchingConnor McDonald
Analytic functions that came way back in 8i are cool, but often we use them really to answer questions about the patterns that exist in data. So perhaps it is time for a new SQL syntax - one more closely aligned with finding patterns, rather than analytical computations. Enter the MATCH_RECOGNIZE syntax!
Hidden Markov models can be used to model sequential data and detect patterns. The document describes an HMM to detect CpG islands in DNA sequences. It has two states, "CpG island" and "not CpG island". Transition and emission probabilities are estimated from training data. The Viterbi, forward-backward, and Baum-Welch algorithms are used to find the most likely state sequence and re-estimate parameters when the true state sequence is unknown. The model can be extended to higher-order HMMs and different state duration distributions.
Continuation Passing Style and Macros in Clojure - Jan 2012Leonardo Borges
The document discusses continuation-passing style (CPS) in Clojure, where control is passed explicitly as a continuation argument to each function, and provides examples of implementing the Pythagorean theorem and Fibonacci sequence in CPS; it also explains how macros can be used to avoid deep nesting when accessing nested values and demonstrates a macro for this use case.
This document outlines topics related to computational linguistics and neural networks, including:
1) It discusses machine learning concepts like training data, models, and feedback in machine learning.
2) It then covers neural networks, including how artificial neurons work and how they can be used for tasks like binary classification.
3) The document concludes by discussing how neural language models like word2vec represent words as vectors in a semantic space to model relationships between words.
NTHU AI Reading Group: Improved Training of Wasserstein GANsMark Chang
This document summarizes an NTHU AI Reading Group presentation on improved training of Wasserstein GANs. The presentation covered Wasserstein GANs, the derivation of the Kantorovich-Rubinstein duality, difficulties with weight clipping in WGANs, and a proposed gradient penalty method. It also outlined experiments on architecture robustness using LSUN bedrooms and character-level language modeling.
Introduction to Neural Networks and Deep Learning from ScratchAhmed BESBES
If you're willing to understand how neural networks work behind the scene and debug the back-propagation algorithm step by step by yourself, this presentation should be a good starting point.
We'll cover elements on:
- the popularity of neural networks and their applications
- the artificial neuron and the analogy with the biological one
- the perceptron
- the architecture of multi-layer perceptrons
- loss functions
- activation functions
- the gradient descent algorithm
At the end, there will be an implementation FROM SCRATCH of a fully functioning neural net.
code: https://github.com/ahmedbesbes/Neural-Network-from-scratch
Model Based Fault Detection, Identification and Accommodation in Antilock Bra...Behzad Samadi
1) The document presents a model-based fault detection and identification approach for antilock braking systems (ABS). It develops nonlinear dynamic models for vehicle motion and tire forces.
2) Kalman filtering techniques are used to estimate vehicle states and tire forces based on sensor measurements, and residuals between measurements and estimates are monitored to detect and identify faults.
3) The approach extends previous work by including additional tire force states and their dynamics in the estimation model to improve fault detection performance.
Wellington APAC Groundbreakers tour - SQL Pattern MatchingConnor McDonald
Analytic functions that came way back in 8i are cool, but often we use them really to answer questions about the patterns that exist in data. So perhaps it is time for a new SQL syntax - one more closely aligned with finding patterns, rather than analytical computations. Enter the MATCH_RECOGNIZE syntax!
Hidden Markov models can be used to model sequential data and detect patterns. The document describes an HMM to detect CpG islands in DNA sequences. It has two states, "CpG island" and "not CpG island". Transition and emission probabilities are estimated from training data. The Viterbi, forward-backward, and Baum-Welch algorithms are used to find the most likely state sequence and re-estimate parameters when the true state sequence is unknown. The model can be extended to higher-order HMMs and different state duration distributions.
Continuation Passing Style and Macros in Clojure - Jan 2012Leonardo Borges
The document discusses continuation-passing style (CPS) in Clojure, where control is passed explicitly as a continuation argument to each function, and provides examples of implementing the Pythagorean theorem and Fibonacci sequence in CPS; it also explains how macros can be used to avoid deep nesting when accessing nested values and demonstrates a macro for this use case.
The Ring programming language version 1.10 book - Part 46 of 212Mahmoud Samir Fayed
This document provides summaries of various classes in the Ring programming language including the Queue, HashTable, Tree, Math, DateTime, File, and System classes. For each class, it lists key methods and provides examples of how to use the methods by creating objects of the classes and calling their methods. It demonstrates adding, removing, and printing items from queues; adding, retrieving, and checking items in hashtables; setting values and adding children to tree nodes; and using math, date/time, file I/O, and system methods.
This document appears to be notes for a chemistry experiment involving the hydrolysis of tert-butyl chloride. It provides the chemical reaction, initial concentrations of reagents, volumes used, conductivity measurements over time, and asks the student to:
1. Write the ionic equation for the hydrolysis reaction
2. Calculate the amount of product formed
3. Derive an expression relating conductivity to concentration of ions
4. Calculate the concentration of product over time
5. Determine the time taken for complete reaction
6. Plot concentration against time and determine the rate law
7. Calculate values at t=50s and the initial rate of reaction
8. Use conductivity and ion concentrations to calculate molar conductivity values
Servo systems-integral-state-feedback-lecture-2020cairo university
This document discusses the design of servo systems using state feedback. It explains that servo systems aim to make the output follow the input. The block diagram shows integrators are added in the error path to achieve this. Matrices are derived to represent the plant state equation, output equation, and combined state equation of the augmented system with integrators. The state feedback gain Kz and integrator gain Kr matrices are then calculated using pole placement techniques to locate the closed-loop poles at desired locations. An example is provided to illustrate these steps.
Using the work of Dr. Graham Hutton as our guide, we'll look at how to satisfy all of your list processing needs with one function, fold. First we'll start off simple by finding the length of a list, then we'll reverse a list, followed by and-ing and or-ing a list; all using fold. Next we'll look at implementing the higher order functions of: map, filter, and zip. Last we'll look at fold in action by using it on the Coin Changer kata. You'll never look at fold the same way again.
The document appears to be an exam question paper that covers various topics related to advanced mathematics, digital VLSI design, embedded systems, ASIC design, VLSI process technology, and related subjects. It contains 10 questions with varying point values and instructs students to answer any 5 full questions. The questions cover technical topics such as matrix operations, MOS transistor modeling, logic design, processor architecture, ASIC design flows, silicon crystal growth, and more.
Secretary of State for Environment, Food and Rural Affairs
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DEFRA is a Ministerial Department
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The document is a master's thesis titled "Automatic Program Parallelization for GPU Environment". It discusses using a compiler called C2CUDA to automatically parallelize sequential C programs for execution on a GPU. The thesis presents techniques for data dependence analysis and loop transformations to expose parallelism. It also provides results of experiments parallelizing matrix operations and magnetic resonance imaging algorithms using C2CUDA. Speedups of up to 58x were achieved for the parallelized applications compared to sequential execution.
Polyhedral compilation uses the polyhedral model to represent programs as systems of affine inequalities over iteration variables. This allows loop transformations like fusion, distribution, skewing and reversal to be expressed as affine mappings on the iteration space. The key aspects are representing the iteration domain, scheduling functions that determine the execution order of statements, and memory accesses in terms of iteration vectors. Loop transformations are specified by changing the scheduling functions to map iterations to new logical execution times while preserving semantics. This enables optimizations at the level of whole programs or subprograms.
Scala 3 is arriving, and with it comes incredible new power for library authors. In this presentation, Alexander Ioffe, contributor to Quill (a LINQ-like persistence layer for Scala), will show how using Scala 3 Macros, Quill is being rebuilt to be better, stronger, and faster. As you will learn in this presentation, Scala 3 introduces a new powerhouse keyword called 'inline' that opens up a new continent of capability. This construct powers all Scala 3 macros, and allows users to interact with staged code almost indistinguishably from normal code, allowing familiar patterns such as global-methods, type-classes, and type-level-logic. For Quill, Alexander will show how this allows generating compile-time SQL using patterns that we once only dreamed about using--and these features just scratch the surface of what can be done with staged code. Come discover the bright future of powerful, type-safe libraries in Scala 3!
The Ring programming language version 1.7 book - Part 33 of 196Mahmoud Samir Fayed
This document provides an overview of object-oriented programming concepts in Ring including classes, objects, inheritance, composition, private attributes and methods, operator overloading, and more. It discusses key OOP functions like sqlite_init() for initializing a SQLite database object, and shows examples of creating classes, defining methods and attributes, instantiating objects, and accessing object properties. The examples demonstrate how to create a class to represent a company with ID, name, age attributes and access records from a SQLite database.
The document discusses several popular algorithms for storing data on disk, including B-trees, LSM-trees, and cache-oblivious B-trees. B-trees balance speed of insertion, update, and selection but can be slow for deletes. LSM-trees are suitable for data with different degrees of recency and allow segregating data between memory and disk storage. Cache-oblivious data structures achieve optimal performance regardless of cache parameters.
Relaxation methods for the matrix exponential on large networksDavid Gleich
My talk from the Stanford ICME seminar series on doing network analysis and link prediction using the a fast algorithm for the matrix exponential on graph problems.
Sistemas de control para ingenieria 3ra edicion norman s. nise solNielsy Quiroga
This document provides solutions to skill-assessment exercises that accompany the textbook "Control Systems Engineering" by Norman S. Nise. It contains solutions to 12 problems involving Laplace transforms, transfer functions, block diagrams, state-space models, and other control systems topics. The solutions generally involve taking Laplace transforms of differential equations, solving for transfer functions, and determining state-space representations.
This document presents an overview of optimization algorithms on Riemannian manifolds. It begins by introducing concepts such as vector transport and retraction mappings that are used to generalize algorithms from Euclidean spaces to manifolds. It then summarizes several classical optimization methods including gradient descent, conjugate gradient, and variants of quasi-Newton methods adapted to the Riemannian setting using these geometric concepts. The convergence of the Fletcher-Reeves method is analyzed under standard assumptions on the objective function. Overall, the document provides a conceptual and mathematical foundation for optimization on manifolds.
Using blurred images to assess damage in bridge structures?Alessandro Palmeri
Faster trains and augmented traffic have significantly increased the number and amplitude of loading cycles experienced on a daily basis by composite steel-concrete bridges. This higher demand accelerates the occurrence of damage in the shear connectors between the two materials, which in turn can severely affect performance and reliability of these structures. The aim of this talk is to present the preliminary results of theoretical and experimental investigations undertaken to assess the feasibility of using the envelope of deflections and rotations induced by moving loads as a practical and cost-effective alternative to traditional methods of health monitoring for composite bridges. Both analytical and numerical formulations for this dynamic problem are presented and the results of a parametric study are discussed. A novel photogrammetric approach is also introduced, which allows identifying vibration patterns in civil engineering structures by analysing blurred targets in long-exposure digital images. The initial experimental validation of this approach is presented and further challenges are highlighted.
The document discusses Taylor series and their applications. It introduces Taylor series as a way to approximate functions using their derivatives. Examples are provided for linear, quadratic, and higher order Taylor approximations. Applications discussed include using Taylor series in physics for concepts like special relativity equations.
This document discusses first and second order circuits. It begins by introducing capacitors and inductors, and how they store energy. It then discusses characterization of linear time-invariant (LTI) systems using step and sinusoidal inputs in both the time and frequency domains. Key concepts for first order circuits like RC and RLC circuits are covered, including their step responses. For second order circuits, the document discusses low-pass transfer functions and explores responses for different Q values, including cases with real and complex poles. It provides examples of calculating bandwidth and pole locations for various RLC circuits.
1. The table lists Laplace and Z-transforms of common functions and their relationships.
2. Important properties of the Z-transform include how it is defined as the sum of a function multiplied by powers of z from 0 to infinity, and theorems regarding shifting, differentiation, and other manipulations of the transform.
3. The document provides definitions and key properties of the Laplace and Z-transforms to understand how they relate continuous-time and discrete-time signals.
1. The document defines the Laplace transform, Z-transform, and their relationship to continuous-time and discrete-time signals.
2. Tables are provided that list common transforms and their corresponding functions in the s-domain, z-domain, and time/discrete-time domains.
3. Important properties and theorems of the Z-transform are outlined, including linearity, shifting, derivatives, and the inverse z-transform.
This document discusses a course on electromagnetic theory taught by Arpan Deyasi. It covers topics related to vector differentiation, including the vector differential operator in Cartesian, cylindrical and spherical coordinates. It also covers differentiation of scalar functions, including calculating gradients, directional derivatives and finding normals to surfaces. Finally, it discusses differentiation of vector functions, specifically divergence, which represents the volume density of the net outward flux from a vector field.
Cálculo ii howard anton - capítulo 16 [tópicos do cálculo vetorial]Henrique Covatti
This document contains a chapter from a textbook on vector calculus. It includes 33 multi-part exercises involving concepts like divergence, curl, line integrals, and parameterizing curves. The exercises provide calculations and proofs related to vector fields and vector operations in three dimensions.
The Ring programming language version 1.10 book - Part 46 of 212Mahmoud Samir Fayed
This document provides summaries of various classes in the Ring programming language including the Queue, HashTable, Tree, Math, DateTime, File, and System classes. For each class, it lists key methods and provides examples of how to use the methods by creating objects of the classes and calling their methods. It demonstrates adding, removing, and printing items from queues; adding, retrieving, and checking items in hashtables; setting values and adding children to tree nodes; and using math, date/time, file I/O, and system methods.
This document appears to be notes for a chemistry experiment involving the hydrolysis of tert-butyl chloride. It provides the chemical reaction, initial concentrations of reagents, volumes used, conductivity measurements over time, and asks the student to:
1. Write the ionic equation for the hydrolysis reaction
2. Calculate the amount of product formed
3. Derive an expression relating conductivity to concentration of ions
4. Calculate the concentration of product over time
5. Determine the time taken for complete reaction
6. Plot concentration against time and determine the rate law
7. Calculate values at t=50s and the initial rate of reaction
8. Use conductivity and ion concentrations to calculate molar conductivity values
Servo systems-integral-state-feedback-lecture-2020cairo university
This document discusses the design of servo systems using state feedback. It explains that servo systems aim to make the output follow the input. The block diagram shows integrators are added in the error path to achieve this. Matrices are derived to represent the plant state equation, output equation, and combined state equation of the augmented system with integrators. The state feedback gain Kz and integrator gain Kr matrices are then calculated using pole placement techniques to locate the closed-loop poles at desired locations. An example is provided to illustrate these steps.
Using the work of Dr. Graham Hutton as our guide, we'll look at how to satisfy all of your list processing needs with one function, fold. First we'll start off simple by finding the length of a list, then we'll reverse a list, followed by and-ing and or-ing a list; all using fold. Next we'll look at implementing the higher order functions of: map, filter, and zip. Last we'll look at fold in action by using it on the Coin Changer kata. You'll never look at fold the same way again.
The document appears to be an exam question paper that covers various topics related to advanced mathematics, digital VLSI design, embedded systems, ASIC design, VLSI process technology, and related subjects. It contains 10 questions with varying point values and instructs students to answer any 5 full questions. The questions cover technical topics such as matrix operations, MOS transistor modeling, logic design, processor architecture, ASIC design flows, silicon crystal growth, and more.
Secretary of State for Environment, Food and Rural Affairs
<owl:Class rdf:about="http://reference.data.gov.uk/id/department/defra/grade/">
<rdfs:subClassOf rdf:resource="http://reference.data.gov.uk/def/central-government/CivilServicePost"/>
</owl:Class>
DEFRA is a Ministerial Department
<owl:Class rdf:about="http://reference.data.gov.uk/def/central-government/MinisterialDepartment">
<rdfs:subClassOf rdf:resource="http://reference.data.gov.uk/def/central-government/Department"/>
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The document is a master's thesis titled "Automatic Program Parallelization for GPU Environment". It discusses using a compiler called C2CUDA to automatically parallelize sequential C programs for execution on a GPU. The thesis presents techniques for data dependence analysis and loop transformations to expose parallelism. It also provides results of experiments parallelizing matrix operations and magnetic resonance imaging algorithms using C2CUDA. Speedups of up to 58x were achieved for the parallelized applications compared to sequential execution.
Polyhedral compilation uses the polyhedral model to represent programs as systems of affine inequalities over iteration variables. This allows loop transformations like fusion, distribution, skewing and reversal to be expressed as affine mappings on the iteration space. The key aspects are representing the iteration domain, scheduling functions that determine the execution order of statements, and memory accesses in terms of iteration vectors. Loop transformations are specified by changing the scheduling functions to map iterations to new logical execution times while preserving semantics. This enables optimizations at the level of whole programs or subprograms.
Scala 3 is arriving, and with it comes incredible new power for library authors. In this presentation, Alexander Ioffe, contributor to Quill (a LINQ-like persistence layer for Scala), will show how using Scala 3 Macros, Quill is being rebuilt to be better, stronger, and faster. As you will learn in this presentation, Scala 3 introduces a new powerhouse keyword called 'inline' that opens up a new continent of capability. This construct powers all Scala 3 macros, and allows users to interact with staged code almost indistinguishably from normal code, allowing familiar patterns such as global-methods, type-classes, and type-level-logic. For Quill, Alexander will show how this allows generating compile-time SQL using patterns that we once only dreamed about using--and these features just scratch the surface of what can be done with staged code. Come discover the bright future of powerful, type-safe libraries in Scala 3!
The Ring programming language version 1.7 book - Part 33 of 196Mahmoud Samir Fayed
This document provides an overview of object-oriented programming concepts in Ring including classes, objects, inheritance, composition, private attributes and methods, operator overloading, and more. It discusses key OOP functions like sqlite_init() for initializing a SQLite database object, and shows examples of creating classes, defining methods and attributes, instantiating objects, and accessing object properties. The examples demonstrate how to create a class to represent a company with ID, name, age attributes and access records from a SQLite database.
The document discusses several popular algorithms for storing data on disk, including B-trees, LSM-trees, and cache-oblivious B-trees. B-trees balance speed of insertion, update, and selection but can be slow for deletes. LSM-trees are suitable for data with different degrees of recency and allow segregating data between memory and disk storage. Cache-oblivious data structures achieve optimal performance regardless of cache parameters.
Relaxation methods for the matrix exponential on large networksDavid Gleich
My talk from the Stanford ICME seminar series on doing network analysis and link prediction using the a fast algorithm for the matrix exponential on graph problems.
Sistemas de control para ingenieria 3ra edicion norman s. nise solNielsy Quiroga
This document provides solutions to skill-assessment exercises that accompany the textbook "Control Systems Engineering" by Norman S. Nise. It contains solutions to 12 problems involving Laplace transforms, transfer functions, block diagrams, state-space models, and other control systems topics. The solutions generally involve taking Laplace transforms of differential equations, solving for transfer functions, and determining state-space representations.
This document presents an overview of optimization algorithms on Riemannian manifolds. It begins by introducing concepts such as vector transport and retraction mappings that are used to generalize algorithms from Euclidean spaces to manifolds. It then summarizes several classical optimization methods including gradient descent, conjugate gradient, and variants of quasi-Newton methods adapted to the Riemannian setting using these geometric concepts. The convergence of the Fletcher-Reeves method is analyzed under standard assumptions on the objective function. Overall, the document provides a conceptual and mathematical foundation for optimization on manifolds.
Using blurred images to assess damage in bridge structures?Alessandro Palmeri
Faster trains and augmented traffic have significantly increased the number and amplitude of loading cycles experienced on a daily basis by composite steel-concrete bridges. This higher demand accelerates the occurrence of damage in the shear connectors between the two materials, which in turn can severely affect performance and reliability of these structures. The aim of this talk is to present the preliminary results of theoretical and experimental investigations undertaken to assess the feasibility of using the envelope of deflections and rotations induced by moving loads as a practical and cost-effective alternative to traditional methods of health monitoring for composite bridges. Both analytical and numerical formulations for this dynamic problem are presented and the results of a parametric study are discussed. A novel photogrammetric approach is also introduced, which allows identifying vibration patterns in civil engineering structures by analysing blurred targets in long-exposure digital images. The initial experimental validation of this approach is presented and further challenges are highlighted.
The document discusses Taylor series and their applications. It introduces Taylor series as a way to approximate functions using their derivatives. Examples are provided for linear, quadratic, and higher order Taylor approximations. Applications discussed include using Taylor series in physics for concepts like special relativity equations.
This document discusses first and second order circuits. It begins by introducing capacitors and inductors, and how they store energy. It then discusses characterization of linear time-invariant (LTI) systems using step and sinusoidal inputs in both the time and frequency domains. Key concepts for first order circuits like RC and RLC circuits are covered, including their step responses. For second order circuits, the document discusses low-pass transfer functions and explores responses for different Q values, including cases with real and complex poles. It provides examples of calculating bandwidth and pole locations for various RLC circuits.
1. The table lists Laplace and Z-transforms of common functions and their relationships.
2. Important properties of the Z-transform include how it is defined as the sum of a function multiplied by powers of z from 0 to infinity, and theorems regarding shifting, differentiation, and other manipulations of the transform.
3. The document provides definitions and key properties of the Laplace and Z-transforms to understand how they relate continuous-time and discrete-time signals.
1. The document defines the Laplace transform, Z-transform, and their relationship to continuous-time and discrete-time signals.
2. Tables are provided that list common transforms and their corresponding functions in the s-domain, z-domain, and time/discrete-time domains.
3. Important properties and theorems of the Z-transform are outlined, including linearity, shifting, derivatives, and the inverse z-transform.
This document discusses a course on electromagnetic theory taught by Arpan Deyasi. It covers topics related to vector differentiation, including the vector differential operator in Cartesian, cylindrical and spherical coordinates. It also covers differentiation of scalar functions, including calculating gradients, directional derivatives and finding normals to surfaces. Finally, it discusses differentiation of vector functions, specifically divergence, which represents the volume density of the net outward flux from a vector field.
Cálculo ii howard anton - capítulo 16 [tópicos do cálculo vetorial]Henrique Covatti
This document contains a chapter from a textbook on vector calculus. It includes 33 multi-part exercises involving concepts like divergence, curl, line integrals, and parameterizing curves. The exercises provide calculations and proofs related to vector fields and vector operations in three dimensions.
The document contains 49 multiple choice questions about derivatives. Each question has 3 answer choices (A, B, C). The questions cover a variety of calculus concepts including finding derivatives of functions, applying derivative rules, and solving related rate and optimization problems.
1. This document provides a review of concepts and sample problems related to multiple integrals. It covers topics such as iterated integrals, changing the order of integration, and evaluating double integrals over various regions.
2. The problem set contains 14 problems evaluating double integrals over different regions using techniques like iterated integration and changing the order of integration.
3. Multiple integrals are used to find volumes, masses, moments, and other physical quantities over regions in 2D and 3D space. The document demonstrates how to set up and evaluate multiple integrals to solve applied problems.
Phase diagram at finite T & Mu in strong coupling limit of lattice QCDBenjamin Jaedon Choi
This document summarizes the derivation of an effective free energy for QCD at strong coupling using a mean field approximation with 1 flavor staggered fermion. Key steps include:
1) Performing a path integral over spatial link variables to obtain quark propagators.
2) Introducing auxiliary bosonic fields using a Hubbard-Stratonovich transformation to obtain a bilinear form in quark fields.
3) Applying a mean field approximation to the auxiliary fields.
4) Exactly integrating over temporal links, quark and auxiliary baryon fields to obtain an effective free energy in terms of the auxiliary meson field.
5) Analyzing the effective free energy to determine the QCD phase diagram as functions of temperature and
The document solves the Bessel equation with order v = 1/3. It finds two partial solutions by expanding the general solution as a power series and solving the characteristic equation. The first partial solution is a power series with terms of x^(2k+1/3) and the second partial solution is a power series with terms of x^(2k-1/3). The general solution is the linear combination of these two partial solutions.
This document summarizes several receiver architectures including superheterodyne, direct conversion, and Weaver. It describes the complex baseband representation of bandpass signals and how orthogonality of the I and Q signals allows doubling of bandwidth. Issues like image rejection, gain/phase imbalance, and half-IF interference are discussed for different architectures. The Hilbert architecture and Weaver architecture are presented as ways to implement direct conversion receivers with improved image rejection compared to traditional methods.
The document discusses various methods of interpolation, including Lagrange and Newton interpolation polynomials. Lagrange interpolation involves constructing a polynomial that passes through a set of n data points, represented by its values at the points. Newton interpolation similarly uses a polynomial but is based on divided differences. Both can be used to interpolate values within or extrapolate beyond the original data range. The complexity of calculating the interpolation polynomials is also addressed.
This document verifies Stokes's theorem for a given vector field F and surface S. It shows that the line integral of F around the boundary of S equals the surface integral of the curl of F over S. Specifically:
- F = zi + xj + yk and the surface S is the cone z = x^2 + y^2 from z = 0 to z = 4
- It calculates the line integral of F around the boundary curve C as 2π
- It calculates the surface integral of curl(F) over S as 2π
- Since these two integrals are equal, Stokes's theorem is verified for this case.
The document provides solutions to problems from an IIT-JEE 2004 mathematics exam. Problem 1 asks the student to find the center and radius of a circle defined by a complex number relation. The solution shows that the center is the midpoint of points dividing the join of the constants in the ratio k:1, and gives the radius. Problem 2 asks the student to prove an inequality relating dot products of four vectors satisfying certain conditions. The solution shows that the vectors must be parallel or antiparallel.
This document provides an overview of Dirac delta functions and their properties. It defines the Dirac delta function as equal to 0 for all values of x except when x is 0, where it is equal to infinity. The key properties listed are that the Dirac delta function can be used to sample or shift other functions, replicate functions, and behave like the derivative of the Heaviside step function. Integrating a function multiplied by the Dirac delta returns the value of the function at 0.
- Standard machine learning models do not guarantee satisfying physical conservation laws for motion prediction.
- The paper proposes learning the "equations of motion" in the form of a Hamiltonian function using neural networks to predict trajectories that obey conservation laws.
- The learned Hamiltonian function is integrated on the fly to generate predictions, ensuring the predictions satisfy conservation of energy.
Nonlinear Filtering and Path Integral Method (Paper Review)Kohta Ishikawa
The document summarizes nonlinear filtering and quantum physics using a path integral perspective. It presents stochastic differential equations (SDEs) to model the system and observation processes. It describes how to represent the probability density function of the state using a path measure and functional differentiation approach. This leads to a Fokker-Planck equation and path integral representation of the filtering distribution.
This document provides an introduction to pair trading based on cointegration. It discusses that pair trading selects two highly correlated stocks and trades their price differences. Cointegration refers to the long-term co-movement of stock prices, which pair trading exploits. The document outlines the basic idea of pair trading when stock prices diverge, and simulates pair trading using R language to estimate spreads, check for cointegration, generate signals, and backtest performance. In summary, pair trading is a quantitative strategy that aims to profit from mean reversion of cointegrated stock price spreads.
The document discusses particle filter tracking in Python. Particle filters use a distribution of samples, or "particles", to approximate the posterior distribution of the state. The particle filter algorithm involves predicting the movement of particles, updating weights based on observation and likelihood, and resampling particles. Example Python code is provided to implement a particle filter for tracking an object in video frames using OpenCV.
JAMES WEBB STUDY THE MASSIVE BLACK HOLE SEEDSSérgio Sacani
The pathway(s) to seeding the massive black holes (MBHs) that exist at the heart of galaxies in the present and distant Universe remains an unsolved problem. Here we categorise, describe and quantitatively discuss the formation pathways of both light and heavy seeds. We emphasise that the most recent computational models suggest that rather than a bimodal-like mass spectrum between light and heavy seeds with light at one end and heavy at the other that instead a continuum exists. Light seeds being more ubiquitous and the heavier seeds becoming less and less abundant due the rarer environmental conditions required for their formation. We therefore examine the different mechanisms that give rise to different seed mass spectrums. We show how and why the mechanisms that produce the heaviest seeds are also among the rarest events in the Universe and are hence extremely unlikely to be the seeds for the vast majority of the MBH population. We quantify, within the limits of the current large uncertainties in the seeding processes, the expected number densities of the seed mass spectrum. We argue that light seeds must be at least 103 to 105 times more numerous than heavy seeds to explain the MBH population as a whole. Based on our current understanding of the seed population this makes heavy seeds (Mseed > 103 M⊙) a significantly more likely pathway given that heavy seeds have an abundance pattern than is close to and likely in excess of 10−4 compared to light seeds. Finally, we examine the current state-of-the-art in numerical calculations and recent observations and plot a path forward for near-future advances in both domains.
Mending Clothing to Support Sustainable Fashion_CIMaR 2024.pdfSelcen Ozturkcan
Ozturkcan, S., Berndt, A., & Angelakis, A. (2024). Mending clothing to support sustainable fashion. Presented at the 31st Annual Conference by the Consortium for International Marketing Research (CIMaR), 10-13 Jun 2024, University of Gävle, Sweden.
Evidence of Jet Activity from the Secondary Black Hole in the OJ 287 Binary S...Sérgio Sacani
Wereport the study of a huge optical intraday flare on 2021 November 12 at 2 a.m. UT in the blazar OJ287. In the binary black hole model, it is associated with an impact of the secondary black hole on the accretion disk of the primary. Our multifrequency observing campaign was set up to search for such a signature of the impact based on a prediction made 8 yr earlier. The first I-band results of the flare have already been reported by Kishore et al. (2024). Here we combine these data with our monitoring in the R-band. There is a big change in the R–I spectral index by 1.0 ±0.1 between the normal background and the flare, suggesting a new component of radiation. The polarization variation during the rise of the flare suggests the same. The limits on the source size place it most reasonably in the jet of the secondary BH. We then ask why we have not seen this phenomenon before. We show that OJ287 was never before observed with sufficient sensitivity on the night when the flare should have happened according to the binary model. We also study the probability that this flare is just an oversized example of intraday variability using the Krakow data set of intense monitoring between 2015 and 2023. We find that the occurrence of a flare of this size and rapidity is unlikely. In machine-readable Tables 1 and 2, we give the full orbit-linked historical light curve of OJ287 as well as the dense monitoring sample of Krakow.
Candidate young stellar objects in the S-cluster: Kinematic analysis of a sub...Sérgio Sacani
Context. The observation of several L-band emission sources in the S cluster has led to a rich discussion of their nature. However, a definitive answer to the classification of the dusty objects requires an explanation for the detection of compact Doppler-shifted Brγ emission. The ionized hydrogen in combination with the observation of mid-infrared L-band continuum emission suggests that most of these sources are embedded in a dusty envelope. These embedded sources are part of the S-cluster, and their relationship to the S-stars is still under debate. To date, the question of the origin of these two populations has been vague, although all explanations favor migration processes for the individual cluster members. Aims. This work revisits the S-cluster and its dusty members orbiting the supermassive black hole SgrA* on bound Keplerian orbits from a kinematic perspective. The aim is to explore the Keplerian parameters for patterns that might imply a nonrandom distribution of the sample. Additionally, various analytical aspects are considered to address the nature of the dusty sources. Methods. Based on the photometric analysis, we estimated the individual H−K and K−L colors for the source sample and compared the results to known cluster members. The classification revealed a noticeable contrast between the S-stars and the dusty sources. To fit the flux-density distribution, we utilized the radiative transfer code HYPERION and implemented a young stellar object Class I model. We obtained the position angle from the Keplerian fit results; additionally, we analyzed the distribution of the inclinations and the longitudes of the ascending node. Results. The colors of the dusty sources suggest a stellar nature consistent with the spectral energy distribution in the near and midinfrared domains. Furthermore, the evaporation timescales of dusty and gaseous clumps in the vicinity of SgrA* are much shorter ( 2yr) than the epochs covered by the observations (≈15yr). In addition to the strong evidence for the stellar classification of the D-sources, we also find a clear disk-like pattern following the arrangements of S-stars proposed in the literature. Furthermore, we find a global intrinsic inclination for all dusty sources of 60 ± 20◦, implying a common formation process. Conclusions. The pattern of the dusty sources manifested in the distribution of the position angles, inclinations, and longitudes of the ascending node strongly suggests two different scenarios: the main-sequence stars and the dusty stellar S-cluster sources share a common formation history or migrated with a similar formation channel in the vicinity of SgrA*. Alternatively, the gravitational influence of SgrA* in combination with a massive perturber, such as a putative intermediate mass black hole in the IRS 13 cluster, forces the dusty objects and S-stars to follow a particular orbital arrangement. Key words. stars: black holes– stars: formation– Galaxy: center– galaxies: star formation
The cost of acquiring information by natural selectionCarl Bergstrom
This is a short talk that I gave at the Banff International Research Station workshop on Modeling and Theory in Population Biology. The idea is to try to understand how the burden of natural selection relates to the amount of information that selection puts into the genome.
It's based on the first part of this research paper:
The cost of information acquisition by natural selection
Ryan Seamus McGee, Olivia Kosterlitz, Artem Kaznatcheev, Benjamin Kerr, Carl T. Bergstrom
bioRxiv 2022.07.02.498577; doi: https://doi.org/10.1101/2022.07.02.498577
The binding of cosmological structures by massless topological defectsSérgio Sacani
Assuming spherical symmetry and weak field, it is shown that if one solves the Poisson equation or the Einstein field
equations sourced by a topological defect, i.e. a singularity of a very specific form, the result is a localized gravitational
field capable of driving flat rotation (i.e. Keplerian circular orbits at a constant speed for all radii) of test masses on a thin
spherical shell without any underlying mass. Moreover, a large-scale structure which exploits this solution by assembling
concentrically a number of such topological defects can establish a flat stellar or galactic rotation curve, and can also deflect
light in the same manner as an equipotential (isothermal) sphere. Thus, the need for dark matter or modified gravity theory is
mitigated, at least in part.
Sexuality - Issues, Attitude and Behaviour - Applied Social Psychology - Psyc...PsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
The debris of the ‘last major merger’ is dynamically youngSérgio Sacani
The Milky Way’s (MW) inner stellar halo contains an [Fe/H]-rich component with highly eccentric orbits, often referred to as the
‘last major merger.’ Hypotheses for the origin of this component include Gaia-Sausage/Enceladus (GSE), where the progenitor
collided with the MW proto-disc 8–11 Gyr ago, and the Virgo Radial Merger (VRM), where the progenitor collided with the
MW disc within the last 3 Gyr. These two scenarios make different predictions about observable structure in local phase space,
because the morphology of debris depends on how long it has had to phase mix. The recently identified phase-space folds in Gaia
DR3 have positive caustic velocities, making them fundamentally different than the phase-mixed chevrons found in simulations
at late times. Roughly 20 per cent of the stars in the prograde local stellar halo are associated with the observed caustics. Based
on a simple phase-mixing model, the observed number of caustics are consistent with a merger that occurred 1–2 Gyr ago.
We also compare the observed phase-space distribution to FIRE-2 Latte simulations of GSE-like mergers, using a quantitative
measurement of phase mixing (2D causticality). The observed local phase-space distribution best matches the simulated data
1–2 Gyr after collision, and certainly not later than 3 Gyr. This is further evidence that the progenitor of the ‘last major merger’
did not collide with the MW proto-disc at early times, as is thought for the GSE, but instead collided with the MW disc within
the last few Gyr, consistent with the body of work surrounding the VRM.
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...Sérgio Sacani
Context. With a mass exceeding several 104 M⊙ and a rich and dense population of massive stars, supermassive young star clusters
represent the most massive star-forming environment that is dominated by the feedback from massive stars and gravitational interactions
among stars.
Aims. In this paper we present the Extended Westerlund 1 and 2 Open Clusters Survey (EWOCS) project, which aims to investigate
the influence of the starburst environment on the formation of stars and planets, and on the evolution of both low and high mass stars.
The primary targets of this project are Westerlund 1 and 2, the closest supermassive star clusters to the Sun.
Methods. The project is based primarily on recent observations conducted with the Chandra and JWST observatories. Specifically,
the Chandra survey of Westerlund 1 consists of 36 new ACIS-I observations, nearly co-pointed, for a total exposure time of 1 Msec.
Additionally, we included 8 archival Chandra/ACIS-S observations. This paper presents the resulting catalog of X-ray sources within
and around Westerlund 1. Sources were detected by combining various existing methods, and photon extraction and source validation
were carried out using the ACIS-Extract software.
Results. The EWOCS X-ray catalog comprises 5963 validated sources out of the 9420 initially provided to ACIS-Extract, reaching a
photon flux threshold of approximately 2 × 10−8 photons cm−2
s
−1
. The X-ray sources exhibit a highly concentrated spatial distribution,
with 1075 sources located within the central 1 arcmin. We have successfully detected X-ray emissions from 126 out of the 166 known
massive stars of the cluster, and we have collected over 71 000 photons from the magnetar CXO J164710.20-455217.
PPT on Alternate Wetting and Drying presented at the three-day 'Training and Validation Workshop on Modules of Climate Smart Agriculture (CSA) Technologies in South Asia' workshop on April 22, 2024.
PPT on Direct Seeded Rice presented at the three-day 'Training and Validation Workshop on Modules of Climate Smart Agriculture (CSA) Technologies in South Asia' workshop on April 22, 2024.
3. Fourier Correlation
• Fourier
(f ? )(x) :=
Z
R
(x0
x)f(x0
) dx0
=
Z
R
dx0
Z
R
ˆ(k0
)eik0
(x0
x)
dk0
Z
R
ˆf(k)eikx0
dk
=
Z
R
dk0 ˆ(k0
)e ik0
x
Z
R
dk ˆf(k)
Z
R
dx0
ei(k+k0
)x0
= (2⇡)
Z
R
dk0 ˆ(k0
)e ik0
x
Z
R
dk ˆf(k) (k + k0
)
= (2⇡)
Z
R
dk ˆ( k) ˆf(k)eikx
= (2⇡)
Z
R
dk ˆ†
(k) ˆf(k)eikx
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Filter Signal
Translation
!3
4. Fourier Correlation
• Fourier
(f ? )(x) :=
Z
R
(x0
x)f(x0
) dx0
=
Z
R
dx0
Z
R
ˆ(k0
)eik0
(x0
x)
dk0
Z
R
ˆf(k)eikx0
dk
=
Z
R
dk0 ˆ(k0
)e ik0
x
Z
R
dk ˆf(k)
Z
R
dx0
ei(k+k0
)x0
= (2⇡)
Z
R
dk0 ˆ(k0
)e ik0
x
Z
R
dk ˆf(k) (k + k0
)
= (2⇡)
Z
R
dk ˆ( k) ˆf(k)eikx
= (2⇡)
Z
R
dk ˆ†
(k) ˆf(k)eikx
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!4
5. S2-Correlation?
•
• Translation?
•
(f ? )(x) :=
Z
R
(x0
x)f(x0
) dx0
=
Z
R
dx0
Z
R
ˆ(k0
)eik0
(x0
x)
dk0
Z
R
ˆf(k)eikx0
dk
=
Z
R
dk0 ˆ(k0
)e ik0
x
Z
R
dk ˆf(k)
Z
R
dx0
ei(k+k0
)x0
= (2⇡)
Z
R
dk0 ˆ(k0
)e ik0
x
Z
R
dk ˆf(k) (k + k0
)
= (2⇡)
Z
R
dk ˆ( k) ˆf(k)eikx
= (2⇡)
Z
R
dk ˆ†
(k) ˆf(k)eikx
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!5