Section 4.1 Divisibility and Modular Arithmetic 87 CHAPTER 4 Number Theory and Cryptography SECTION 4.1 Divisibility and Modular Arithmetic 2. a) 1 | a since a = 1 · a. b) a | 0 since 0 = a · 0. 4. Suppose a | b ‚ so that b = at for some t ‚ and b | c‚ so that c = bs for some s. Then substituting the first equation into the second‚ we obtain c = (at)s = a(ts). This means that a | c‚ as desired. 6. Under the hypotheses‚ we have c = as and d = bt for some s and t . Multiplying
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Negative Communication Negative communication workplace…Main reason of conflicts in workplace (2010)‚ wannareadyyou.com‚ Retrieved 13.11.2012 from http://wannareadyou.com/negative-communication-workplacemain-reason-of-conflicts-in-workplace.html 1.0 Summary: The gist of the article is about how negative communication can affect the workplace. Workplace is defined as the meeting place of people with the same purpose in life – work so that he can earn a living and he works to contribute to
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Problems on NUMBERS Q. 1 to Q. 10 Check the divisibility for the following numbers whether these are divisible by 2‚ 3‚ 4‚ 5‚ 6‚ 7‚ 8‚ 9‚ 11‚ and 12. Test for all Factors among the above mentioned numbers. 191 1221 11111 10101 512 3927 34632 4832718 583360 47900160 Q. 11. Simplify (46 + 18 * 6 + 4) / (12 * 12 + 8 *12) = ? Q. 12 On dividing a number by 999‚ the quotient is 366 and the remainder is 103. The number is Q. 13 Simplify (272 - 32)(124 + 176) / (17 * 15 - 15)
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Youth Violence We live in a very violent century. All over the nation‚ children and adults are exposed to different kinds of crimes‚ and that leads us to insecurity of what is next going to happen. Citizens commit scary crimes for different motives. Some of them violate laws out of desperation‚ for survival‚ or to support a drug habit. Outcomes of crime increase put impact on every citizen of nation‚ especially on children. Children take example from adults; they tend to copy what they see‚ and
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Creating a more delicious world Our 2010 repOrt Message from Our Chairman and Chief Executive Officer a 2 b Ever since my first “job” selling girl scout cookies‚ i believed that business could be a force for good. today‚ i know it is. irene B. rosenfeld Chairman and Chief Executive Officer as a global food company‚ we can help raise people up—out of hunger‚ out of poverty‚ toward healthier lifestyles—through what we make and how we make it. Millions of times a day … in ways big and
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STUDENT ID : 000650897 STUDENT NAME : PYIE PHYO MAUNG COURSE : COMP1304 INFORMATION SYSTEMS ENGINEERING 1 Section A A1. Rich Picture 2 A2. A2.1 Key Actors End-Users Currently‚ end-users are not happy with the information system development function because their requirements are not met. End-users are expecting robust‚ flexible and user friendly system. Many systems developed by the I.T department are mission-critical. Since the IT systems are not meeting the user requirements‚ they
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Real Number Properties In this assignment we were asked to solve three expressions using the properties of real numbers in order to do so. Each of the real number properties are essential in solving algebraic expressions. Although you may not need to use all of them in the same expression to solve you will need to use at least one. In this paper I will demonstrate the use of the properties and show the steps needed to solve each part of an expression. Understanding the properties of algebra
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Negative Externalities We live and work in a world driven by a fossil fueled economy. Our cars and other dominant forms of transport run primarily on gasoline derived from oil. Our homes and work places stay heated and cooled using electricity generated by utilities heavily dependent on coal. Many air pollution issues such as climate change‚ acid rain and smog are directly related to our energy choices. Solutions to air quality issues range from calls for greater energy efficiency to increased
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Total number of Vehicles REGISTERED / ON ROAD in Karachi – 2011 compiled by URC S. No. Type of Vehicle 1 2 Total Registered on Road upto 31-122010 MECHANIZED ROAD TRANSPORT REGISTERED / ON ROAD 2011 Newly Registered During the Year 2011 January March April - June July September October December Total Registered on Road 2011 (Col. 4+5+6+7) Total Registered on Road upto 31-122011 (Col. 3+*) 3 4 5 6 7 8 9 15‚452 101 99 65
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CUSTOMERS’ RESPONSE TO MOBILE NUMBER PORTABILITY -A STUDY WITH SPECIAL REFERENCE TO VODAFONE SUBSCRIBERS IN POOKOTTUMPADAM Comment [a1]: The title should be clear and specific in term of topic and area of study. Under the supervision of Mr. ABBAS VATTOLI Assistant Professor DEPARTMENT OF COMMERCE AMAL COLLEGE OF ADVANCED STUDIES NILAMBUR Introduction Mobile number portability (MNP) enables mobile telephone users to retain their mobile telephone numbers when changing from one mobile network
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