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Gardner described it in the "Mathematical Games" section of Scientific American in November 1977‚ writing that‚ "In an unpublished proof‚ Graham has recently established ...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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cryptography is the ability to send information between participants in a way that prevents others from reading it. In this book we will concentrate on the kind of cryptography that is based on representing information as numbers and mathematically manipulating those numbers. This kind of cryptography can provide other services‚ such as • integrity checking—reassuring the recipient of a message that the message has not been altered since it was generated by a legitimate source • authentication—verifying
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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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SIXTH SENSE TECHNOLOGY 1.INTRODUCTION Although miniaturized versions of computers help us to connect to the digital world even while we are travelling there aren’t any device as of now which gives a direct link between the digital world and our physical interaction with the real world. Usually the information’s are stored traditionally on a paper or a digital storage device. Sixth sense technology helps to bridge this gap between tangible and non-tangible
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Fibonacci number From Wikipedia‚ the free encyclopedia A tiling with squares whose side lengths are successive Fibonacci numbers An approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1‚ 1‚ 2‚ 3‚ 5‚ 8‚ 13‚ 21‚ and 34. In mathematics‚ the Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence:[1][2] 0‚\;1‚\;1‚\;2‚\;3
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