Once upon a time‚ in the imaginary land of numbers… Yes‚ numbers! I bet that would’ve never come to mind. Which brings me to the question: Who thought of them and why? In 50 A.D.‚ Heron of Alexandria studied the volume of an impossible part of a pyramid. He had to find √(81-114) which‚ back then‚ was insolvable. Heron soon gave up. For a very long time‚ negative radicals were simply deemed “impossible”. In the 1500’s‚ some speculation began to arise again over the square root of negative numbers
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and imaginary part. The imaginary part is a multiple of i (where i =[pic] ). We often use the letter ‘z’ to represent a complex number eg. z = 3 +5i The conjugate of z is written as z* or [pic] If z1 = a + bi then the conjugate of z (z* ) = a – bi Similarly if z2 = x – yi then the conjugate z2* = x + yi z z* will always be real (as i2 = -1) For two expressions containing complex numbers to be equal‚ both the real parts must be equal and the imaginary parts
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the topic of “Complex and Imaginary Numbers” and its applications. I chose the topic “Complex and Imaginary Numbers” because I am interested in mathematics that is hard to be pictured in your mind‚ unlike geometry or equations. An imaginary number is the square root of a negative number. That is why they are called imaginary‚ what René Descartes called them‚ because he thought such a number could not exist. In this paper‚ I will discuss how complex numbers and imaginary numbers were discovered‚
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My imaginary trip around the world If you had the possibility of choosing a destination for a free month’s holiday‚ would you choose a single place or visit different countries? Well‚ if that would ever occur to me‚ I would feel very excited and‚ at first‚ I wouldn’t know where to go. Both options have advantages and disadvantages: If I went to many different places my holiday would be more varied and exciting ‚ but if I chose one single place my knowledge of
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definition for cities‚ they are varied in our cultural imaginary instead. In this paper‚ Healy’s ideas of “cultural imaginary” of cities would be examined by looking into the the urban characteristics of an Asian city – Hong Kong‚ where mediatisation and technology play main roles in everyday life. Real life examples would be cited to illustrate how these imaginaries take material forms in our daily life. Cities consist of both cultural imaginaries and lived cultural experiences we have for it. (Healy
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"Imaginary Landscapes" is a multimedia project‚ a homage to John Cage‚ one of the most influential artists‚ writers and thinkers of the 20th century‚ and the liberating power of his music and writings for future generations. Named after the early Cage cycle dedicated to landscapes of the present and future‚ this project reflects on the composer’s interest in occupying the entire sound field‚ from city landscapes and unpredictable traffic sounds‚ to natural landscapes‚ amplified water and plants‚ and futuristic
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Imaginary friends Imaginary friends are very common in kids with big imagination‚ very lonely or mentally ill. The most probable would be loneliness. These are usually caused by children whose parents are away or always busy. Thus‚ their time being with their children is limited. It is said that because of their loneliness‚ imaginary friends are born. They would usually talk with them‚ play with them or just stay by their sides. These are very normal‚ but they also have side effect. Some of
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Imaginary Crime Scene/Mass Disaster Lawanda Holloman Kaplan University Crime Scene Investigation II CJ370 In this paper‚ I am going to describe each specialized personnel that will be needed at the scene of a crime or mass disaster. I will inform you of what duties each of these specialized individuals will possess. You will be able to know and understand each of these responsibilities. At midnight on January 1 a call comes in of multiple gunshots fired at 123 ABC Blvd. Officer Black responds
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Daily Life in the United States‚ 1920-1940 David E. Kyvig’s Daily Life in the United States‚ is a book covering twenty years of time during the great depression‚ while exploring how they spent their days and how they were affected by popular culture throughout six regions including Indiana‚ New Mexico‚ Iowa Georgia‚ Pennsylvania‚ and Illinois. David Kyvig’s book‚ is an excellent social history which examines how usual people reacted to the big changes during what we call “The Great Depression” and
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David Sheff‚ a husband and father of three‚ never would have guessed that he would have to surrender his life to his methamphetamine addicted son‚ Nic. Sheff‚ an author and writer‚ reflects on Nic’s entire life‚ searching for a possible motive for why his young‚ youthful son would want to try meth. Sheff takes the reader through his long detrimental journey of his son’s addiction and truly illustrates the struggles experienced by families and friends of addicts. Nic‚ described to be a lively‚
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