# George Dantzig

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• ## Linear Programming Problem: The Simplex Method

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…

Words: 1035 - Pages: 4
• ## The Importance Of Inaugural Addresses

” Will believes that “the general shortening of sentences reflects, in part, a change in nature of Inaugural Addresses.” He refers to Teddy Roosevelt who called the presidency “a bully pulpit.” Later addresses have had an incentive to tell Americans how to behave with phrases such as “The only thing we have to fear…” and “Ask not…” A more popular phrase which was used by Kennedy and Nixon was “Let us…,” which according to Will means, “For Pete’s sake, pull up your socks and shape up.” The…

Words: 1019 - Pages: 5
• ## Critical Analysis Of A Sunday On La Grande Jatte

I had to understand why Seurat used such a difficult technique for his work. I then came upon the theory that perhaps he wanted to produce a deeper sense of life in his paintings. All things in the world are composed of millions of cells, and these cells create objects, color, and everything that practically exists. I imagine that Seurat's motive was to utilize this scientific law in his work to give an atmosphere of life, texture, and movement in the scenes that he…

Words: 536 - Pages: 3
• ## Compare And Contrast Animal Farm And Lord Of The Flies

I will be comparing Animal Farm by George Orwell and Lord Of The Flies by William Golding. In a Lord Of The Flies, young boys get stranded on a island after their plane crashes. After the plane crashed the boys try to make life livable on the island, but two boys Ralph and Jack fight over who gets to be the leader of the island. Eventually Ralph and Jack go head to head about who gets to be leader, and Jack wins because all of the younger boys go to his side. In Animal Farm, Mr. Jones the owner…

Words: 1084 - Pages: 5
• ## Beatles And Drugs And The Beatles

LSD (Lysergic acid diethylamide) was little know at this time, but still legal, and was commonly used by John, Paul, George, and Ringo. It had an “[immense] effect on the Beatles songwriting and recording” (“Beatles and Drugs”). The first released song to mention acid was “Day Tripper,” but “over time its influence resulted in less explicit and more abstract references to acid” (“Beatles and Drugs”). The song most commonly associated with The Beatles use of LSD is “Lucy in the Sky with…

Words: 1611 - Pages: 7
• ## Fahrenheit 451 1984 And Brave New World Analysis

The dystopian novels Fahrenheit 451, 1984 and Brave New World show Bradbury, Orwell and Huxley’s vision of modern society. The authors include ideas of fear, technology and pleasure in a way that predicts how they see today’s society. Although Orwell, Bradbury and Huxley have valid points of fear, technology and pleasure, Huxley’s vision of the future is the most accurate in modern society in his book Brave New World. Technology in today’s society is coming very close to the technology…

Words: 1175 - Pages: 5
• ## John Lennon And John Mccannon Analysis

Time magazine 's year 2000 top 100 influential people article not only ranked the Beatles as the best-selling band of all time but stated the group had sold 600 million albums. Fifteen years after this report one can only imagine the amount of Beatles albums sold today. Together John Lennon and Paul McCartney co-wrote 180 out of the roughly 245 Beatles songs while the remaining songs were written with or by other band mates. The Lennon McCartney songwriting duo is as historical in the field of…

Words: 1357 - Pages: 6
• ## Similarities Between Indian Independence And American Revolution

the Sugar Act, the Stamp Act, and the Townshend Acts to raise money rather than try to control the trade with already enraged Americans in the colonies. Tensions increased further after Parliament passed the Coercive Acts and the First Continental Congress took the first steps toward independence from Britain. Before the colonies gained independence, they had to fight a long, cruel, and bitter war. The Revolutionary War: The British had many advantages in the war, including a large,…

Words: 1808 - Pages: 8
• ## Why Is The Reign Of Terror Justified

The Justification of the Reign Of Terror Threatening to end the French Revolution. The French Revolution has been building up for years under the rule of King Louis 16. The things that lead up to the people of France revolting against the king was the serious debt, expensive wars, and the starving of the people of France. After the people of France revolted against the King they formed the new government as a republic. Down the road a man named Maximilian Robespierre introduced the guillotine…

Words: 1558 - Pages: 7
• ## 1984 And Cat's Cradle Book Analysis

is better than fake so, I really didn’t understand how you could learn from fictional books until now. Because I thought that you couldn’t learn from reading, I stopped and lost my interest for reading. After reading 1984 and Cat’s Cradle over summer, my passion for reading was rekindled. These two books illustrated how a fictional book is capable of being educational. From these two books, I finally understood that a book can be classified as stellar and scholarly if it teaches you life…

Words: 1212 - Pages: 5
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