Cardinal numbers: Definition‚ Examples Cardinal numbers We know that‚ the relation in sets defined by A~ B is an equivalence relation. Hence by fundamental theorem on equivalence relation‚ all sets are partitioned into disjoint classes of equivalent sets. Thus for any set A‚ equivalence class of A‚ [A] = { B | B ~ A } Result: - (1) [A] = [B] or [A] ∩ [B] = ∅ ‚ that is for any two sets‚ either they have same equivalence classes or totally disjoint equivalence classes.
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A rational number is a number that can be written as a ratio of two integers. The decimal of a rational number will either repeat or terminate. There is a way to tell in advance whether a rational number’s decimal representation will repeat or terminate. When trying to find a pattern in the relationship between rational numbers and their decimals‚ it is best to start with a list. A random list of rational numbers and their decimal values was made in order to find a pattern. The list included ½‚ 5/6
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geometric shapes‚ which lead to special numbers. The simplest example of these are square numbers‚ such as 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3‚ and 4. Triangular numbers are defined as “the number of dots in an equilateral triangle uniformly filled with dots”. The sequence of triangular numbers are derived from all natural numbers and zero‚ if the following number is always added to the previous as shown below‚ a triangular number will always be the outcome: 1 = 1
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18. March 2010 Saturn Corporation : A different Kind of Car company Saturn was created by General Motors chairman Roger Smith in 1985 to be a “Different Kind of Car Company” . As the single-most defining characteristic of the new company‚ Saturn proclaimed that sole focus was creating and maintaining a strong relationship with the customers. Saturn put significant resources into Customer research and product development. Hopes were high that GM could reach a new market area with a new
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ENGL 1101 Why Companies Profits Declined Since the beginning of the last recession United States companies profits have declined drastically. Small local businesses were hurting because of the recession. Record shows “The boom in American corporate profits‚ which has far outpaced the gains in the broader economy since the end of the last recession‚ is faltering” (Schwartz). Even companies worldwide whose majorities of its customers were Americans suffered a loss. Europe economy has taken a down
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OVERVIEW INDEX NUMBERS compare figures which show changes in a given variable. The most common variables used in index numbers are price and quantity. By getting the difference of the index numbers‚ we are able to determine the relative or percent change in the price or quantity of a commodity between two periods of time or two localities. Among the more commonly used index numbers are the consumer price index‚ retail price index‚ wholesale price index‚ and the cost-of-living index. DEFINITION
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the Union address‚ President Obama called for raising the minimum wage to $9 per hour‚ which in adjusted terms would put it back at its early 1980s levels. According to government estimates‚ this would boost the wages of roughly 15 million people. Increasing the minimum wage may have impacts beyond adding more money to employees’ pockets. A Purdue University study released in July 2015 suggests that paying fast-food restaurant employees $15 an hour could lead to an overall rise on everyday items. If
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nth Term Of The Bell Numbers Abstract A pattern was discovered when elements in a set were rearranged as many ways as possible without repeating. This pattern is a sequence of numbers called Bell Numbers. In combinatorial mathematics‚ which is said to be the mathematics of the finite‚ the nth Bell number is the number of partitions of a set with n members. This find the number of different ways an element or elements
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Executive Summary Four Star Industries‚ one of the top local mattress manufacturers in Singapore‚ has been facing operational problems and ineffective inventory management which results in declining of its sales and order fulfillment year by year. Over three decades of its establishment‚ more and more varieties are added to its product range in order to satisfy its customers’ request and to remain competitive in the market. As a result‚ high inventory build-ups and high inventory holding costs occur
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There are few types of directors a company may have. Managing director or chief executive officer is appointed in many companies. He is put in charge of managing the company’s daily business. A managing director may be conferred with any of the powers that the directors can exercise. He also performs a vital role in large companies because of the scale of the company’s business it is usually impractical for the board to actively carry out daily management and so it delegates its management function
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