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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Module 8: Assignment # 4 Classical Conditioning Scenarios For the following 5 scenarios identify the UCS‚ CS‚ UCR‚ and CR. 1. Fred has a fluffy down pillow with some of the down sticking out of the fabric. When he first tries out the pillow‚ a piece of down tickles his nose and he sneezes. This happens every time he goes to bed. Soon he sneezes every time he lays down on any kind of pillow. What is the: Unconditioned stimulus: ______the down______________
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pursuits or the lifestyle of leisure‚(a phenomenon enjoyed mainly in the United States)‚ and‚ especially if you were "working-class"‚ your choices were much narrower. The first Mods‚ were not technically called Mods‚ but they were the first to carry-on in a manner that would later befit the ideals of the Mods in Britain. They weren’t regents‚ but did come from middle-class new money; they were the young adult sons of largely Jewish garment manufacturers‚ (which explains their affinity for
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Violence in Western Society [Technology influencing the acceptance of Violence in society] 2. Good and Evil [When there is good‚ there is evil] 3. Identity and Belonging [Demographic characteristics determine where individuals belong] 4. Dichotomy [Clash and distinction between Western and Amish culture] 5. Pacifism [Amish advocating peace and non-violence] Topic Sentences * Technology heavily influences violence in society. * Good and Evil are two contrasting ideas
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Income Statement Income statements present an ordered list‚ grouped by broad categories of revenues and expenses. The income statement begins with revenues followed by a list of expenses. U.S. GAAP and IFRS requirements for the presentation of income statements are similar‚ with some important differences. *Other than separating revenues from expenses‚ U.S. GAAP provides little guidance about which items the firm must separately display or their order. IFRS requires‚ at a minimum‚ the
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depreciation expense was $1.5 million. All revenues were collected in cash during the year and all expenses other than depreciation were paid in cash. What were Brandywine’s 2007 net income‚ total profit margin‚ and cash flow? Net income = 12M * (1 - 75%) - 1.5M = $1.5 million Total profit margin = $1.5M/12M = 12.5% Cash flow = 1.5M + 1.5M = $3 million Suppose the company changed its depreciation calculation procedures(still within GAAP)such that its depreciation expense
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main premise of this report is that TUI Travel PLC is one of the world’s leading leisure travel groups‚ operating in approximately one hundred and eighty countries all over the world and compromising over 220 brands. This means that they serve more than thirty million customers and that makes TUI Travel PLC a global player in the growing industry. They want to deliver a wide variety of leisure travel experiences. Three principal business sectors are important to TUI Travel PLC: Mainstream‚ Accommodation
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Assessable income=ordinary income + statutory income. Ordinary income: income deriving from the courts (s6-5) Negative propositions: items that are not income by ordinary concepts: 1.Amounts not convertible into money :In Tennant v Smith (1892) free accommodation provided to a bank manager was held not to be ordinary income because building could not be sub-let and the benefit thereby converted to money. In FCT v Cooke & Sherden (1980) an incentive prize offered by a manufacturer was not income of the
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executives. Financial statements are the final product of accounting process. Income statement provides data for investment and other decisions. The net income is essentially the common income statement form‚ consisting of classifications such as income from continuing operations‚ discontinued operations‚ extraordinary items‚ and cumulative effects of changes in accounting principles. In this study we investigate the relative ability of comprehensive income and net income to summarize firm performance
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1. The primary values of my organization are stated in the Mission Statement and by the people that lead us. In the US Army Core of Engineers Mission statement‚ it states‚ “The Corps will grow stronger and become a great organization by delivering superior performance‚ setting the standard for our profession‚ making a positive impact on the Nation and other nations‚ and building to last‚ as evidenced by the strength of our team‚ educated‚ trained‚ experienced‚ and certified professionals. We will
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