Pi is 4

A limit is something towards which you will always get closer and closer. This doesn’t mean you will eventually reach it. The euclidean length of a segment Δz=(Δx,Δy)Δz=(Δx,Δy) is Δx2+Δy2−−−−−−−−−√Δx2+Δy2 whereas the “taxicab” length of this segment is |Δx|+|Δy||Δx|+|Δy|. “In the limit” this implies that the euclidean circumference of the unit circle is 2π2π, whereas […]

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Latin square

The “Gamma plus two” method for generating “odd order” magic squares, the“Gamma plus two plus swap” method for generating “singly even order” magicsquares, and Durer’s method for generating “doubly even order” magic squares. By Professor Edward Brumgnach, P.E. City University of New YorkQueensborough Community College In combinatorics and in experimental design, a Latin square is […]

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N-Queens

Construct a magic square nxn (using the numbers 1 to n2) and place n queens only on these cells which contain prime numbers, such that no queen can take any other queen. 1. What is the smallest magic square (n) having solution? 2. Get one solution for the next three larger magic squares (n+1, n+2 […]

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abc conjecture

The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory, first proposed by Joseph Oesterlé (1985) and David Masser (1988). It is stated in terms of three positive integers, a, b and c (hence the name) that are relatively prime and satisfy a + b = c. If d denotes the product […]

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La escalabilidad del computo

Published on Aug 26, 2014 Hackerdashery #2 Inspired by the Complexity Zoo wiki: https://complexityzoo.uwaterloo.ca/Co… Scott Aaronson’s blog, Shtetl-Optimized:http://www.scottaaronson.com/blog/ —– Retro-fabulous, cabinet-sized computers: System/360: http://en.wikipedia.org/wiki/IBM_Syst… photo: “360-91-panel”. Licensed under Public domain via Wikimedia Commons –http://commons.wikimedia.org/wiki/Fil… PDP-8: http://en.wikipedia.org/wiki/PDP-8 photo: “PDP-8”. Licensed under Public domain via Wikimedia Commons –http://commons.wikimedia.org/wiki/Fil… —– Protein folding illustration: “Protein folding schematic” by Tomixdf […]

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La historia de π (pi)

“π is wrong!” by Bob Palais appeared in The Mathematical Intelligencer Springer-Verlag New York Volume 23, Number 3, 2001, pp. 7-8. Bob Palais gratefully acknowledges Dr. Chandler Davis, for his encouragement and editorial input. (See also the Wikipedia entry on Dr. Davis.) The most amusing letter to the editor in response stated: “I agree with […]

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Origamic architecture

http://www.popupology.co.uk/learn A selection of paper space workshops for you to enjoy! Choose from the projects below, print pdf on 220-270gsm card, then ‘simply’ cut and fold! In the Japanese paperfolding art of origami, cutting the paper is frowned upon. But in 1981, Masahiro Chatani, professor of Architecture at Tokyo Institute of Technology proved that papercutting […]

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the Riemann Hypothesis

The Riemann zeta function or Euler–Riemann zeta function, ζ(s), is a function of a complex variable s that analytically continues the sum of the infinite series which converges when the real part of s is greater than 1. More general representations of ζ(s) for all s are given below. The Riemann zeta function plays a pivotal […]

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