This document contains 8 questions regarding numerical analysis methods. Question 1 asks to explain different types of errors in calculations. Question 2 asks to find the maximum relative error in a function given errors in its variables. Question 3 asks to perform iterations of the Muller method to find a root of an equation. Question 4 asks to find derivatives of a function from given data and evaluate an integral using Romberg's method.
The East West Institute of Technology has a PG Library & Information Centre that provides resources and services to post-graduate students. The library welcomes suggestions from students on how to improve its resources and services, which can be emailed to library.ewit@gmail.com.
1. A bungee jumper with a mass of 68.1 kg leaps from a hot air balloon. Using a finite difference technique and step size of 0.25 seconds, the velocity is computed for the first 12 seconds of free fall, taking into account drag.
2. The document explains various types of errors in calculations such as significant figures, inherent error, truncation error, and true percentage relative error. It also describes the Regular Falsi and Newton-Raphson methods for finding roots of equations.
3. The problems involve using numerical methods such as Muller's method, Graeffe's root-square method, Romberg's method, Gauss elimination, Jacobi method, QR
This document contains 8 questions regarding numerical analysis methods. Question 1 asks to explain different types of errors in calculations. Question 2 asks to find the maximum relative error in a function given errors in its variables. Question 3 asks to perform iterations of the Muller method to find a root of an equation. Question 4 asks to find derivatives of a function from given data and evaluate an integral using Romberg's method.
The East West Institute of Technology has a PG Library & Information Centre that provides resources and services to post-graduate students. The library welcomes suggestions from students on how to improve its resources and services, which can be emailed to library.ewit@gmail.com.
1. A bungee jumper with a mass of 68.1 kg leaps from a hot air balloon. Using a finite difference technique and step size of 0.25 seconds, the velocity is computed for the first 12 seconds of free fall, taking into account drag.
2. The document explains various types of errors in calculations such as significant figures, inherent error, truncation error, and true percentage relative error. It also describes the Regular Falsi and Newton-Raphson methods for finding roots of equations.
3. The problems involve using numerical methods such as Muller's method, Graeffe's root-square method, Romberg's method, Gauss elimination, Jacobi method, QR
This document contains 8 questions on topics in applied mathematics for a Masters degree examination. The questions cover a range of numerical methods including Muller's method, Bairstow's method, Gauss-Seidel method, cubic spline interpolation, and the Numerov method. Other questions address linear algebra topics such as basis vectors, subspaces, linear transformations, and inverses. Students are asked to prove theorems about graphs, vector spaces, and matrix eigenvectors. Calculations involve solving systems of equations, finding roots of polynomials, and maximizing profit under constraints.
This document contains 8 questions regarding various topics in applied mathematics for a first semester M.Tech degree examination. The questions cover topics such as significant figures, accuracy, precision, and round off errors; solving equations using methods like Regula-Falsi, Newton's formula, Bairstow method, and Graeffe's root squaring; numerical integration using Romberg's method; solving systems of linear equations using Gauss-Jordan and triangularization methods; eigen values and vectors using inverse power and Rutishauser methods; linear transformations and their properties; least squares solutions; and constructing orthogonal sets using Gram-Schmidt process. Students are required to answer any 5 full questions out of the 8 questions provided.
This document contains an 8-question exam on applied mathematics. The questions cover various topics including: error analysis, numerical integration, solving systems of equations, matrix operations, eigenanalysis, linear transformations, vector spaces, and least squares solutions. Students are asked to define terms, compute values, prove statements, and perform numerical methods like Newton's method to find roots or Romberg's method for integration.
This document contains 18 questions related to applied mathematics for a first semester M.Tech degree examination. The questions cover topics including:
1) Binary conversion, error and relative error calculations
2) Matrix multiplication and operations including inverses, norms, and eigenproblems
3) Taylor series expansions and numerical integration techniques like Simpson's rule and Gauss-Legendre quadrature
4) Numerical solutions to initial value problems using techniques like Adams-Bashforth and predictor-corrector methods
5) Boundary value problems for beams and heat transfer problems solved using finite difference methods.
This document appears to be an exam for a Mechanical Vibrations course, consisting of two parts (A and B) and multiple choice questions. It covers topics such as periodic motion, resonance, degrees of freedom, harmonic analysis, differential equations of motion, damping, force transmissibility, seismic instruments, machine vibrations, and experimental modal analysis. Methods for analyzing vibrations in systems include Dunkerley's method and matrix iteration. Machine maintenance techniques are also mentioned. The document provides diagrams to illustrate concepts and problems/calculations for students to complete as part of the exam.
This presentation gives an information about: photoelasticity, covering syllabus of Unit-3, of Experimental stress analysis subject for BE course under Visvesvaraya Technological University (VTU), Belgaum.
The document discusses electrical resistance strain gages, including:
- Common alloys used including constantan, iso-elastic alloy, and karma alloy.
- Types of strain gages such as wire, foil, diaphragm, and weldable.
- Important factors in mounting gages such as surface preparation, adhesives like epoxy and cyanoacrylate, and proper bonding techniques.
This template was created for DSCE, Aeronautical students. You have to replace the institution details.
Create a separate document for each chapter, so that under numbering, you can change the sequence of chapter main heading according to chapter wise. i.e., 2.1, 2.2 etc.
Same procedure is applicable to Figure caption and Table caption.
This template can be used to generate, BE seminar report, M.Tech and Ph.D thesis also.
This template is created to assist UG students in generating their thesis without much hassle.
Contents are taken from VTU website. I don’t hold any copyright for this document.
Hareesha N G
Assistant Professor
DSCE, Bengaluru
This document contains questions from a M.Tech Applied Mathematics exam. It includes questions on various topics in applied mathematics, such as:
1) Finding the binary form of a number, approximating a number, and writing a Fortran program for matrix multiplication.
2) Solving sets of equations using Gauss elimination, finding matrix inverses, and converting eigenvalue problems.
3) Evaluating mixed partial derivatives, Taylor series expansions, and numerically evaluating integrals using Simpson's rule, Gauss-Legendre quadrature, and Adams-Bashforth methods.
4) Solving initial value problems, the transverse deflection of beams, and using finite difference methods to solve PDEs modeling heat transfer.
Advanced control scheme of doubly fed induction generator for wind turbine us...IJECEIAES
This paper describes a speed control device for generating electrical energy on an electricity network based on the doubly fed induction generator (DFIG) used for wind power conversion systems. At first, a double-fed induction generator model was constructed. A control law is formulated to govern the flow of energy between the stator of a DFIG and the energy network using three types of controllers: proportional integral (PI), sliding mode controller (SMC) and second order sliding mode controller (SOSMC). Their different results in terms of power reference tracking, reaction to unexpected speed fluctuations, sensitivity to perturbations, and resilience against machine parameter alterations are compared. MATLAB/Simulink was used to conduct the simulations for the preceding study. Multiple simulations have shown very satisfying results, and the investigations demonstrate the efficacy and power-enhancing capabilities of the suggested control system.
This document contains 8 questions on topics in applied mathematics for a Masters degree examination. The questions cover a range of numerical methods including Muller's method, Bairstow's method, Gauss-Seidel method, cubic spline interpolation, and the Numerov method. Other questions address linear algebra topics such as basis vectors, subspaces, linear transformations, and inverses. Students are asked to prove theorems about graphs, vector spaces, and matrix eigenvectors. Calculations involve solving systems of equations, finding roots of polynomials, and maximizing profit under constraints.
This document contains 8 questions regarding various topics in applied mathematics for a first semester M.Tech degree examination. The questions cover topics such as significant figures, accuracy, precision, and round off errors; solving equations using methods like Regula-Falsi, Newton's formula, Bairstow method, and Graeffe's root squaring; numerical integration using Romberg's method; solving systems of linear equations using Gauss-Jordan and triangularization methods; eigen values and vectors using inverse power and Rutishauser methods; linear transformations and their properties; least squares solutions; and constructing orthogonal sets using Gram-Schmidt process. Students are required to answer any 5 full questions out of the 8 questions provided.
This document contains an 8-question exam on applied mathematics. The questions cover various topics including: error analysis, numerical integration, solving systems of equations, matrix operations, eigenanalysis, linear transformations, vector spaces, and least squares solutions. Students are asked to define terms, compute values, prove statements, and perform numerical methods like Newton's method to find roots or Romberg's method for integration.
This document contains 18 questions related to applied mathematics for a first semester M.Tech degree examination. The questions cover topics including:
1) Binary conversion, error and relative error calculations
2) Matrix multiplication and operations including inverses, norms, and eigenproblems
3) Taylor series expansions and numerical integration techniques like Simpson's rule and Gauss-Legendre quadrature
4) Numerical solutions to initial value problems using techniques like Adams-Bashforth and predictor-corrector methods
5) Boundary value problems for beams and heat transfer problems solved using finite difference methods.
This document appears to be an exam for a Mechanical Vibrations course, consisting of two parts (A and B) and multiple choice questions. It covers topics such as periodic motion, resonance, degrees of freedom, harmonic analysis, differential equations of motion, damping, force transmissibility, seismic instruments, machine vibrations, and experimental modal analysis. Methods for analyzing vibrations in systems include Dunkerley's method and matrix iteration. Machine maintenance techniques are also mentioned. The document provides diagrams to illustrate concepts and problems/calculations for students to complete as part of the exam.
This presentation gives an information about: photoelasticity, covering syllabus of Unit-3, of Experimental stress analysis subject for BE course under Visvesvaraya Technological University (VTU), Belgaum.
The document discusses electrical resistance strain gages, including:
- Common alloys used including constantan, iso-elastic alloy, and karma alloy.
- Types of strain gages such as wire, foil, diaphragm, and weldable.
- Important factors in mounting gages such as surface preparation, adhesives like epoxy and cyanoacrylate, and proper bonding techniques.
This template was created for DSCE, Aeronautical students. You have to replace the institution details.
Create a separate document for each chapter, so that under numbering, you can change the sequence of chapter main heading according to chapter wise. i.e., 2.1, 2.2 etc.
Same procedure is applicable to Figure caption and Table caption.
This template can be used to generate, BE seminar report, M.Tech and Ph.D thesis also.
This template is created to assist UG students in generating their thesis without much hassle.
Contents are taken from VTU website. I don’t hold any copyright for this document.
Hareesha N G
Assistant Professor
DSCE, Bengaluru
This document contains questions from a M.Tech Applied Mathematics exam. It includes questions on various topics in applied mathematics, such as:
1) Finding the binary form of a number, approximating a number, and writing a Fortran program for matrix multiplication.
2) Solving sets of equations using Gauss elimination, finding matrix inverses, and converting eigenvalue problems.
3) Evaluating mixed partial derivatives, Taylor series expansions, and numerically evaluating integrals using Simpson's rule, Gauss-Legendre quadrature, and Adams-Bashforth methods.
4) Solving initial value problems, the transverse deflection of beams, and using finite difference methods to solve PDEs modeling heat transfer.
Advanced control scheme of doubly fed induction generator for wind turbine us...IJECEIAES
This paper describes a speed control device for generating electrical energy on an electricity network based on the doubly fed induction generator (DFIG) used for wind power conversion systems. At first, a double-fed induction generator model was constructed. A control law is formulated to govern the flow of energy between the stator of a DFIG and the energy network using three types of controllers: proportional integral (PI), sliding mode controller (SMC) and second order sliding mode controller (SOSMC). Their different results in terms of power reference tracking, reaction to unexpected speed fluctuations, sensitivity to perturbations, and resilience against machine parameter alterations are compared. MATLAB/Simulink was used to conduct the simulations for the preceding study. Multiple simulations have shown very satisfying results, and the investigations demonstrate the efficacy and power-enhancing capabilities of the suggested control system.
Rainfall intensity duration frequency curve statistical analysis and modeling...bijceesjournal
Using data from 41 years in Patna’ India’ the study’s goal is to analyze the trends of how often it rains on a weekly, seasonal, and annual basis (1981−2020). First, utilizing the intensity-duration-frequency (IDF) curve and the relationship by statistically analyzing rainfall’ the historical rainfall data set for Patna’ India’ during a 41 year period (1981−2020), was evaluated for its quality. Changes in the hydrologic cycle as a result of increased greenhouse gas emissions are expected to induce variations in the intensity, length, and frequency of precipitation events. One strategy to lessen vulnerability is to quantify probable changes and adapt to them. Techniques such as log-normal, normal, and Gumbel are used (EV-I). Distributions were created with durations of 1, 2, 3, 6, and 24 h and return times of 2, 5, 10, 25, and 100 years. There were also mathematical correlations discovered between rainfall and recurrence interval.
Findings: Based on findings, the Gumbel approach produced the highest intensity values, whereas the other approaches produced values that were close to each other. The data indicates that 461.9 mm of rain fell during the monsoon season’s 301st week. However, it was found that the 29th week had the greatest average rainfall, 92.6 mm. With 952.6 mm on average, the monsoon season saw the highest rainfall. Calculations revealed that the yearly rainfall averaged 1171.1 mm. Using Weibull’s method, the study was subsequently expanded to examine rainfall distribution at different recurrence intervals of 2, 5, 10, and 25 years. Rainfall and recurrence interval mathematical correlations were also developed. Further regression analysis revealed that short wave irrigation, wind direction, wind speed, pressure, relative humidity, and temperature all had a substantial influence on rainfall.
Originality and value: The results of the rainfall IDF curves can provide useful information to policymakers in making appropriate decisions in managing and minimizing floods in the study area.
Introduction- e - waste – definition - sources of e-waste– hazardous substances in e-waste - effects of e-waste on environment and human health- need for e-waste management– e-waste handling rules - waste minimization techniques for managing e-waste – recycling of e-waste - disposal treatment methods of e- waste – mechanism of extraction of precious metal from leaching solution-global Scenario of E-waste – E-waste in India- case studies.
Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...shadow0702a
This document serves as a comprehensive step-by-step guide on how to effectively use PyCharm for remote debugging of the Windows Subsystem for Linux (WSL) on a local Windows machine. It meticulously outlines several critical steps in the process, starting with the crucial task of enabling permissions, followed by the installation and configuration of WSL.
The guide then proceeds to explain how to set up the SSH service within the WSL environment, an integral part of the process. Alongside this, it also provides detailed instructions on how to modify the inbound rules of the Windows firewall to facilitate the process, ensuring that there are no connectivity issues that could potentially hinder the debugging process.
The document further emphasizes on the importance of checking the connection between the Windows and WSL environments, providing instructions on how to ensure that the connection is optimal and ready for remote debugging.
It also offers an in-depth guide on how to configure the WSL interpreter and files within the PyCharm environment. This is essential for ensuring that the debugging process is set up correctly and that the program can be run effectively within the WSL terminal.
Additionally, the document provides guidance on how to set up breakpoints for debugging, a fundamental aspect of the debugging process which allows the developer to stop the execution of their code at certain points and inspect their program at those stages.
Finally, the document concludes by providing a link to a reference blog. This blog offers additional information and guidance on configuring the remote Python interpreter in PyCharm, providing the reader with a well-rounded understanding of the process.
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024Sinan KOZAK
Sinan from the Delivery Hero mobile infrastructure engineering team shares a deep dive into performance acceleration with Gradle build cache optimizations. Sinan shares their journey into solving complex build-cache problems that affect Gradle builds. By understanding the challenges and solutions found in our journey, we aim to demonstrate the possibilities for faster builds. The case study reveals how overlapping outputs and cache misconfigurations led to significant increases in build times, especially as the project scaled up with numerous modules using Paparazzi tests. The journey from diagnosing to defeating cache issues offers invaluable lessons on maintaining cache integrity without sacrificing functionality.
Comparative analysis between traditional aquaponics and reconstructed aquapon...bijceesjournal
The aquaponic system of planting is a method that does not require soil usage. It is a method that only needs water, fish, lava rocks (a substitute for soil), and plants. Aquaponic systems are sustainable and environmentally friendly. Its use not only helps to plant in small spaces but also helps reduce artificial chemical use and minimizes excess water use, as aquaponics consumes 90% less water than soil-based gardening. The study applied a descriptive and experimental design to assess and compare conventional and reconstructed aquaponic methods for reproducing tomatoes. The researchers created an observation checklist to determine the significant factors of the study. The study aims to determine the significant difference between traditional aquaponics and reconstructed aquaponics systems propagating tomatoes in terms of height, weight, girth, and number of fruits. The reconstructed aquaponics system’s higher growth yield results in a much more nourished crop than the traditional aquaponics system. It is superior in its number of fruits, height, weight, and girth measurement. Moreover, the reconstructed aquaponics system is proven to eliminate all the hindrances present in the traditional aquaponics system, which are overcrowding of fish, algae growth, pest problems, contaminated water, and dead fish.
Embedded machine learning-based road conditions and driving behavior monitoringIJECEIAES
Car accident rates have increased in recent years, resulting in losses in human lives, properties, and other financial costs. An embedded machine learning-based system is developed to address this critical issue. The system can monitor road conditions, detect driving patterns, and identify aggressive driving behaviors. The system is based on neural networks trained on a comprehensive dataset of driving events, driving styles, and road conditions. The system effectively detects potential risks and helps mitigate the frequency and impact of accidents. The primary goal is to ensure the safety of drivers and vehicles. Collecting data involved gathering information on three key road events: normal street and normal drive, speed bumps, circular yellow speed bumps, and three aggressive driving actions: sudden start, sudden stop, and sudden entry. The gathered data is processed and analyzed using a machine learning system designed for limited power and memory devices. The developed system resulted in 91.9% accuracy, 93.6% precision, and 92% recall. The achieved inference time on an Arduino Nano 33 BLE Sense with a 32-bit CPU running at 64 MHz is 34 ms and requires 2.6 kB peak RAM and 139.9 kB program flash memory, making it suitable for resource-constrained embedded systems.
Electric vehicle and photovoltaic advanced roles in enhancing the financial p...IJECEIAES
Climate change's impact on the planet forced the United Nations and governments to promote green energies and electric transportation. The deployments of photovoltaic (PV) and electric vehicle (EV) systems gained stronger momentum due to their numerous advantages over fossil fuel types. The advantages go beyond sustainability to reach financial support and stability. The work in this paper introduces the hybrid system between PV and EV to support industrial and commercial plants. This paper covers the theoretical framework of the proposed hybrid system including the required equation to complete the cost analysis when PV and EV are present. In addition, the proposed design diagram which sets the priorities and requirements of the system is presented. The proposed approach allows setup to advance their power stability, especially during power outages. The presented information supports researchers and plant owners to complete the necessary analysis while promoting the deployment of clean energy. The result of a case study that represents a dairy milk farmer supports the theoretical works and highlights its advanced benefits to existing plants. The short return on investment of the proposed approach supports the paper's novelty approach for the sustainable electrical system. In addition, the proposed system allows for an isolated power setup without the need for a transmission line which enhances the safety of the electrical network