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Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ...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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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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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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Acts of kindness On March 19‚ 1994‚ I experienced firsthand how one random act of kindness could touch my heart‚ ease my fears and leave me with a renewed faith in mankind. I was living in Billings‚ Montana and was moving back home to Kennewick‚ Washington with my six month old daughter. It was a 670 mile journey. I drove a little blue Ford Festiva and had it packed to the point where I didn’t think anything else could fit in it. It was a beautiful sunny morning when we left on our journey
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3/2/13 Management By The Numbers (MBTN) Course: International Marketing Managem ent w ith Marco Protano - Winter 2013 Hult Nanjing | Module: Advertising Metrics | Problem Set ID: 11 COMPANY BACKGROUND: XiaKe Digital‚ a Chinese manufacturer of electronics‚ is launching a new advertising campaign spanning both print and TV advertising for their new Music Pod. The local market has a population of 21 million adults. The company purchased a one-page newspaper ad in the Daily News generating
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