# Simplex algorithm

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4 The Simplex Method As we have seen, a linear programming problem forms a convex polygon in the best possible scenario. It is imperative to obtain a process that would assist in determining the optimal solution without the need to examine the graphical representation. The need for an algorithm that would perform such process was essential in the early days of the formulations of linear programming problems. Although challenging, the task was accomplished by a mathematician of the twentieth century. In 1947, George Dantzig developed a process that assisted in computing optimal solutions for minimization and maximization linear programming problems, this method is known as the simplex method [6]. Regardless of his great discovery, the linear programming problem needed to be set up in canonical form, so that the process could be utilized. Dantzig’s discovery could be applied to optimize any given objective function, given that the structure was in canonical form. In addition to the proper set up, the number of variables needs to be larger than the number of constraints. Assume that there are m equations and n unknowns. If the number of equations is equal to the number of constraints, then the solution could be derived without considering the objective function. Thus n>m is a prerequisite for a…

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I became interested with an Information Security Analyst because my father is one. Every take your child to work day I would wake up early with my dad and run to his car excited to go to his office for the day. The building is a plain, brown brick building, but every time I saw it, I instantly got excited. Walking into the office everyone knew my name, I would always wave at everyone I saw. The secretary always gave me a lollipop and called me her “Little bundle of sunlight”. I would then go…

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“It definitely sharpened my interest in language, the way people used language, slang words, speech patterns. There 's a big advantage to being the outsider” (1). This is a quote by Amy Heckerling, and it explains how speech patterns often go unnoticed by people of a certain group. A person with a southern accent believes that their accent is the normal, and a person with a Boston accent does not think they have one. Clive Thompson’s article “He and She; What’s the Real Difference?” explains an…

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The ability to understand programming and all of its algorithms will grant anybody the power to keep up with technology. This is why elementary schools need computer science classes integrated into their curriculum. Teaching young children how to program will evolve the world in new ways by allowing these individuals to create new applications and technology. Since there are not any computer science related courses offered in elementary schools, they are restricted from the opportunity to learn…

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In the article, “Grace Murray Hopper – Programming Pioneer”, author V. Rajaraman summarizes the life and accomplishments of Grace Murray Hopper, a woman who is credited for several major computer and technology developments. Rajaraman goes into extensive detail about Hopper’s early life, such as how Hopper focused heavily on her education in order to receive a PhD in Mathematics at Yale University which soon lead her to become a math professor at Vassar College. Rajaraman also mentions how…

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paper is like designing the functionality and architecture of the code. Employing various ways to support an argument is like adapting known algorithms to suit specific purposes. And proofreading and revising a paper is like testing, debugging, and improving the code. Last summer at Cornell, I led weekly supplementary seminars for the Fundamental Programming Concepts course. Initially, I included many questions about the ins and outs of language-specific syntax and semantics in the worksheet.…

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Shirley Jackson’s symbolism in The Lottery portrays manhood’s nature as meaningless due to a savage tradition. On literature, symbolism is important to understand foreshadowing and distinctions. In some cases, symbols can have a cultural significance and non-changing for the characters in the story. However, sometimes the meaning of the symbols is deeply hidden and understood as the story continues. Characters in literature are fundamental to understand the story being told by either a character…

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California (UC) at Santa Cruz, I was surprised and excited to find out that there are many people who are doing the same major that I am doing, computer science. I am excited, but also worried, about my major, because the classes are so impacted. It is going to be difficult to graduate in four years, so I have mapped out a plan for when to take all of my classes as follows: Fall Quarter 2016: Introduction to computer science (Accelerated) Winter Quarter 2017: Multivariable Calculus Introduction…

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in Computational Physics, but a car accident forced me to focus on my recovery for several months so I never participated in that program. Afterward, I worked as Algorithm optimizer and back-end developer in some companies(listed in my CV). In one of the companies, my responsibility was to optimize their current algorithms. The company was a hardware firewall provider. Upon my investigations, I came to the understanding that their parallelization was not effective at all. In a standard test of…

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Psychology will help me make an impact on the world. By utilizing the principles of psychology I’ll be able to create AI capable of mimicking human-level intelligence, learning, and memory. Additionally, the principles of psychology will help in the creation of AI capable of devising algorithms to best appropriate natural resources, create better forms of government, and increase the quality of life for the people of the world. Thus bringing the dream of an ideal society to reality. In…

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