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Abstract This research presents Homotopy Analysis Method to Fredholm integral equations of the second kind. An analytical method solving linear and nonlinear equations.The Homotopy Analysis Method provides an efficient and powerful tool in solving integral equations.The method provides a great freedom in choosing an auxiliary parameter h, an auxiliary linear operator L,an auxiliary nonlinear operator N, to analyze strongly linear and nonlinear problems. Application of the method to Fredholm integral

Kim Kardashian West made her loyal friends angry because she lied to them. Radar Online, Sept. 4, 2015, reported that her friends are furious at her. What started out as bombshell news when Kim announced her pregnancy to the world, her friends were mad because she didn’t tell them first. It seems they found out like everyone else, through the news media. According to an insider, many of Kim’s friends asked her if she was pregnant and she told them no. Kim’s friends don’t even like to call her anymore

IB Physics Internal Assessment Andy Tang Research Question In this internal assessment, I am given a cantilever to find the physical properties of it. I decide to investigate the relationship between the force I act on one side of the cantilever and the maximum acceleration the tail can reach. This experiment will be also showing the elasticity of the cantilever. Since I pull down one side of it and fixed the other side, when I cut the string, it will bounce up and down until all the internal

The Scarlet Ibis by James Hurst Foreshadowing, symbolism, and image are all elements which compose style.  All are very important; foreshadowing adds suspense, and symbolism contributes to interpretation.  Image contributes "visual aids" which, also, aid interpretation.  In this classic short story, "The Scarlet Ibis," by James Hurst, foreshadowing, symbolism, and image combine to create a true literary masterpiece. Foreshadowing is one of the elements of style which make "The Scarlet

Case Study 1: Martin Martin, a behavior analyst, is working with Sara, a 14-year-old girl with severe developmental delays who exhibits self-injurious behavior (SIB). The self-injurious behaviors included pulling her hair, biting her arm and banging her head against the wall. After conducting a functional analysis, Martin decided to employ an intervention program consisting of differential reinforcement of other (DRO) desired behavior. Martin collected data on Sara's SIB before and during the intervention

receive direction to God’s next assignment. The only thing I knew was my instructions were to “go” and I would receive the details once I arrived. My reflection paper will hopefully articulate (1) my original or foundational understanding of the function of leadership in the context of my ministry setting and how it relates to a personal understanding of

Analytical Mathematics: Matrices Matrices Matrices are a grouping of numbers or symbols that represent numbers in a semi-rectangle that are placed into order through one or a series of vertical lines known as columns and one or a series of horizontal lines known as rows. Matrices come in many sizes, they can be as few as one number and could go all the way to infinity. Not just one number or letter can be placed in a space a whole equation with numbers and variables can be placed in a single

Bringing the War Home Comparative Essay Martha Rosler created a series of paintings during the time of the Vietnam War. She called the series, House Beautiful: Bringing the War Home. The series ran from 1967-72. About forty years later, during the US occupation in Iraq she reopened the series as a kind of update on what she was trying to get across. These works, created a couple of decades apart are very similar, they both portray the controversy of the media during wartime, as well as many connections

Equation An ODE is an equation that contains ordinary derivatives of a mathematical function. Solutions to ODEs involve determining a function or functions that satisfy the given equation. This can entail performing an anti-derivative i.e. integrating the equation to find the function that best satisfies the differential equation. There are several techniques developed to solve ODEs so as to find the most satisfactory function. This discussion seeks to explore some of these techniques by providing worked

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