Perfect numbers Mathematicians have been fascinated for millenniums by the properties and patterns of numbers. They have noticed that some numbers are equal to the sum of all of their factors (not including the number itself). Such numbers are called perfect numbers. A perfect number is a whole number‚ an integer greater than zero and is the sum of its proper positive devisors‚ that is‚ the sum of the positive divisors excluding the number itself. Equivalently‚ a perfect number is a number that is
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Number Systems Base 2: The Binary Number System Base 8: The Octal Number System Base 16: The Hexadecimal Number System Learning Objectives • At the end of the lesson the student should be able to: – Identify the different number base system – Convert base ten numbers to base two‚ eight or sixteen – Convert base two‚ eight or sixteen numbers to base ten – Perform basic operations on various base numbers Number Base • What is a number base? A number base is a specific collection
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Graham’s number‚ named after Ronald Graham‚ is a large number that is an upper bound on the solution to a certain problem in Ramsey theory. The number gained a degree of popular attention when Martin Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ... a bound so vast that it holds the record for the largest number ever used in a serious mathematical proof." The 1980 Guinness
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ABSTRACT Reynolds number can be defined as a number of varieties of situations where a fluid is in relative with motion to a surface. This experiment is to observe the behavior of the flow of fluid either it is laminar or turbulent by calculating it’s Reynolds number and the characteristic of the flow. Other than that‚ the range for laminar and turbulent flow can be calculated and the theory that Reynolds number is dimensionless can be proven. The pump is opened to let the water flow. The dye
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Oxidation Number When elements combine to produce a compound‚ each element is assigned an “apparent” charge. This apparent charge‚ the charge an atom would have if both electrons in each bond were assigned to the more electronegative element‚ may be positive or negative. It is called the oxidation number or state of the element in the compound. Oxidation numbers are very useful in keeping track of what happens to electrons when various elements combine to form compounds. By remembering a few
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Stellar Numbers Results 1. Triangular Numbers Observation of the number pattern of polynomial type or different pattern needed. Identifying the order of the general term by using the difference between the succeeding numbers. Students are expected to use mathematical way of deriving the general term for the sequence. Students are expected use technology GDC to generate the 7th and 8th terms also can use other graphic packages to find the general pattern to support their result The
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Figure 1: Recognizing the pattern of the "rabbit problem". If we were to keep going month by month‚ the sequence formed would be 1‚1‚2‚3‚5‚8‚13‚21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of numbers is defined as the Fibonacci sequence. Mathematically speaking‚ this sequence is represented as: The Fibonacci sequence has a plethora of applications in art and in nature. One frequent finding in nature involves the use of an even more powerful
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A Closer Look at Spenser While reading the book‚ Early Autumn‚ by Robert Parker‚ I liked many of Spenser’s qualities that he showed throughout the book. He made sure that he didn’t leave Mel’s house without Paul‚ he made Paul stay with him instead of his mom to keep him safe‚ and he got Paul into shape and away from the TV. During the book‚ I liked how Spenser handled trading Paul for his mother. I also liked how he disciplined Paul‚ and changed his outlook on life. I think Spenser is a character
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Walker Topic I: Bio-rhythms (separated into six essay topics) Biological rhythms: There are three types of biological rhythm; circadian‚ ultradian and infradian. Circadian rhythms are those which complete a cycle in a 24 hour period such as the sleep-wake cycle‚ heart rate or metabolism. People have variations within the circadian rhythms‚ notably the owl/lark division describing people who have biological clocks which run ahead or behind the average. Ultradian rhythms are those which occur
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MARKETING BY THE Numbers One external factor that manufacturers must consider when setting prices is reseller margins. Manufacturers do not have the final say concerning the price to consumers; retailers do. So manufacturers must start with their suggested retail prices and work back‚ subtracting out the markups required by resellers that sell the product to consumers. Once that is considered‚ manufacturers know at what price to sell their products to resellers‚ and they can determine what
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