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    Bases for Topologies . . . . . . 4.5 Zariski Topology of Commutative Rings 4.6 Books .. 4.7 Exercises . Classical Stokes ' Theorems 5.1 Preliminaries about Vector Calculus 5.1.1 Vector Fields . 5.1.2 Manifolds and Boundaries. 5.1.3 Path Integrals .. 5.1.4 Surface Integrals 5.1.5 The Gradient .. 5.1.6 The Divergence. 49 50 53 56 60 60 63 63 66 72 73 75 77 78 81 82 82 4 5 84 87 91 93 93 CONTENTS 5.1.7 The Curl . 5.1.8 Orientability . 5.2 The Divergence Theorem and Stokes ' Theorem

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    War is an integral part of the human experience. As far back as the records go, humans have been fighting each other for personal gain. Over the centuries, warfare has changed, the style and intensity of it varying with each successive era in human history. Conventional warfare has always been different depending on what point in history you looked, and so can be seen as obsolete and crucial at the same time. In the 21st Century, conventional warfare is becoming increasingly outmoded, and the use

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    Imagine you had to fight a war against a formidable army that outnumbered you tenfold; you had very few friends and hardly any weapons at which you could use. This is a great analogy for Melba Patillo Beals’ battle for integration into Central High School, but Melba’s army composed of segregationist and students whose mission was to keep her out of the school. Upon her shoulders Melba carried the responsibility of being one of the first African Americans to integrate a high school in Arkansas, a

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    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

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    intimately tied to the history of Islam and the writings of the Qur’an. The word calligraphy, is defined as ‘beautiful writing” and is considered to be one of the most noble artistic expressions in the Islamic world. Arabic Calligraphy has become an integral part of Islamic culture mainly because Islam by nature is aniconic, which discourages the artistic representation of animals and human beings. As a result of this, the art of Islamic culture gravitated towards the art of calligraphy. In the year 612

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    In all employment situations, there will be circumstances where an employee will find themselves on a team with a specific problem to solve or goal to reach. Teams are an integral part of most business situations. Leadership within the respective organization often creates teams. The way that the leadership interacts with the teams can affect how cohesive the team is and if they reach their goals. These two groups can cause a business to succeed or fail. Teams Utilizing teamwork has been

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    An integral part of ensuring that any organization runs smoothly, is ensuring that they have the proper software necessary to perform daily functions effectively and efficiently. No two-software developed will ever be the same, and the same goes for its updates. This leads me to my next point which is, since software programs are developed to meet the different needs of different organizations, it is difficult, better yet nearly impossible for there to be just one type of method for software development

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    C. Cinematography The term cinematography is interconnected with the concept of still photography, but is an integral part of motion pictures. Within this context, Russell Carpenter’s role as the cinematographer of the film Titanic is important. For instance, his attitude towards cinematography, especially his tireless effort to attain perfection contributed to the success of the film. In the film, Carpenter’s co-operation with art department and visual effects department deeply influenced

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    Mr. Thathamkulam was an integral part in the space planning process in the eye clinic and took the initiative in making the plans to rearrange the staff rooms to make extra rooms for patient care. With the assistance of the IT team, space planning committee, and interior designing department, staffs were relocated among themselves, in order to accommodate more new staff to meet the growing patients’ care population and maintaining patient rights and Health Insurance Portability and Protection Act

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    Stephen Decatur was an integral part of the United States Navy in its developmental days. He was a part of the battles that determined the United States’ naval strategy in decades to come. He was always on the front lines of innovation and any naval battle taking place nearby. Stephen Decatur was an inspiration to the newly minted United States Navy, his bold and daring exploits inspired the Navy to achieve more and created a culture of pride and achievement in the Navy. Stephen Decatur had to

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