If you add up all the natural numbers from 1 to infinity, you should get a really large version of infinity, but this is not the case. What you get is  minus one/twelfth. Watch the following well-made video clip in order to understand how this happens. Follow @JBraungardt Related posts: Mathematical Infinity Newsfeed Prime Number […]

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Quoted from:  Pi in the Sky, by John Barrow. Oxford University Press, 1992. p. 37-38 “English: one/first ; two/second ; three/third ; four/fourth French: un/premier ; deux/second or deuxième ; trois/troisième ; quatre/quatrième German: ein/erste ; zwei/ander or zweite ; drei/dritter ; vier/vierte Italian: uno/primo ; due/secondo ; tre/terzo ; quattro/quarto In each of these […]

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I found this on Wikipedia, reading about prime numbers: “Inevitably, some of the numbers that occur in nature are prime. There are, however, relatively few examples of numbers that appear in nature because they are prime. One example of the use of prime numbers in nature is as an evolutionary strategy used by cicadas of […]

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Definition A Fibonacci sequence is easily constructed:  Start with 0 and 1, and for each following number, add the previous two: 0, 1, 0+1=1, 1+1=2, 1+2=3, and so on. Here is the beginning of the sequence:  0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, … The Fibonacci sequence is named after Leonardo of […]

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Prime numbers are the basic units of the system of numbers, since every natural number is either a prime, or can be expressed as a composite of prime numbers. Here are some excerpts from the Wikipedia article about Prime numbers: Definition “A prime number (or a prime) is a natural number greater than 1 that […]

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Perfect numbers are gateways to the wonders of the mathematical world. Contemplating them, one realizes how small our human minds really are compared to the reality that surrounds us, and creates us. Definition A perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself.  The first perfect […]

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From Wikipedia: “π (sometimes written pi) is a mathematical constant that is the ratio of any circle’s circumference to its diameter. π is approximately equal to 3.14 in the usual decimal notation. Many formulae in mathematics, science, and engineering involve π, which makes it one of the most important mathematical constants.For instance, the area of […]

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