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In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
Spencer-Brown is the author of a curious little book called Laws of Form, [12] which is essentially a reconstruction of the propositional calculus by means of an eccentric notation. The book, which the British mathematician John Horton Conway once described as beautifully written but "content-free," has a large circle of counterculture devotees.
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, = = =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.
Mathematics is used in most sciences for modeling phenomena, which then allows predictions to be made from experimental laws. [101] The independence of mathematical truth from any experimentation implies that the accuracy of such predictions depends only on the adequacy of the model. [ 102 ]
Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems : The primary arithmetic (described in Chapter 4 of LoF ), whose models include Boolean arithmetic ;
If it seems everyone is talking about bitcoin these days, you're onto something.. The digital currency has been hitting record highs and neared $100,000 this past week, having doubled in value ...
The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the ...
From January 2008 to December 2012, if you bought shares in companies when Donald R. Keough joined the board, and sold them when he left, you would have a 9.0 percent return on your investment, compared to a -2.8 percent return from the S&P 500.