used Roman Numerals and noticed math. So they know how to use it. That is where numbers got their name. In Babylon and Egypt‚ the people first started using theoretical tools and numbering systems. The Egyptians used a decadic numbering system‚ which is based on the number 10 and still in use today. They also introduced characters used to describe the numbers 10 and 100‚ making it easier to describe larger numbers. Geometry started to receive great attention and served in surveying land‚ cities
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Inequalities Maths Compiled By : OP Gupta [+91-9650 350 480 | +91-9718 240 480] Exercise 6.1 Question 1: Solve 24x < 100‚ when (i) x is a natural number (ii) x is an integer Answer The given inequality is 24x < 100. (i) It is evident that 1‚ 2‚ 3‚ and 4 are the only natural numbers less than . Thus‚ when x is a natural number‚ the solutions of the given inequality are 1‚ 2‚ 3‚ and 4. Hence‚ in this case‚ the solution set is {1‚ 2‚ 3‚ 4}. (ii) The integers less than are …–3
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Complex Numbers All complex numbers consist of a real 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‚
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he number theory or number systems happens to be the back bone for CAT preparation. Number systems not only form the basis of most calculations and other systems in mathematics‚ but also it forms a major percentage of the CAT quantitative section. The reason for that is the ability of examiner to formulate tough conceptual questions and puzzles from this section. In number systems there are hundreds of concepts and variations‚ along with various logics attached to them‚ which makes this seemingly
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A TEACHER’S GUIDE TO THE SIGNET CLASSIC EDITION OF BEOWULF By DANA HUFF SERIES W. GEIGER ELLIS‚ ED.D.‚ EDITORS: UNIVERSITY OF GEORGIA‚ EMERITUS and ARTHEA J. S. REED‚ PH.D.‚ UNIVERSITY OF NORTH CAROLINA‚ RETIRED A Teacher’s Guide to the Signet Classic Edition of Beowulf 2 INTRODUCTION Beowulf ’s origins are mysterious. While we do not know the identity of the author‚ and we are unsure of its precise date of composition‚ most scholars believe it was composed by
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NUMBER SYSTEMS TUTORIAL Courtesy of: thevbprogrammer.com Number Systems Number Systems Concepts The study of number systems is useful to the student of computing due to the fact that number systems other than the familiar decimal (base 10) number system are used in the computer field. Digital computers internally use the binary (base 2) number system to represent data and perform arithmetic calculations. The binary number system is very efficient for computers‚ but not for humans. Representing
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Beowulf is one of the oldest English Literatures in our time today. At the time of which England is being changed from Pagan to Christian. When people believed they had to fight for a place on earth against monsters. The writer of Beowulf took the character’s flaws and related them to actual life experiences. A critic says. “The poet‚ however‚ consciously used them to characterize human experience‚ stressing recurring ng patterns‚ and to represent the characters’ attempts to understand their situation”
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There are plenty of characters in the epic poem “Beowulf” but none are as dynamic as Beowulf himself. As the main character and protagonist‚ he is thoroughly developed throughout the poem. While some of his traits jump right out at you (confidence‚ strength‚ bravery)‚ other are buried and subtle. Beowulf is wise‚ compassionate‚ and honorable and these characteristics shape the entire poem. While it may not be overwhelmingly obvious to all‚ Beowulf’s intelligence is indeed present at all times. One
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Earnings Management Pre-Sarbanes Oxley Scandals Backdating of Options Madoff 1 TW 5 Reliance on Accounting Numbers Critically analyse reliance on financial information What we will do this week Understand the concept of “quality” accounting information Develop the skills to know when and how to adjust current earnings for i f income not expected to persist t t dt i t Understand issues the financial analyst faces when dealing with retroactively restated financial statements Understand
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Within the story of Beowulf‚ it is evident that there are many different translations. Each translation tells the same story but in a different way‚ a way in which someone may comprehend differently. However‚ one of the first translations was Lehmanns. Ruth Lehmann’s translation was known as the most related to the old the version or also known as the imitative translation.He had used a formatting where there were tons of breaks‚ more complex words‚ and less modern in general. However‚ compared to
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