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  2. Cube (algebra) - Wikipedia

    en.wikipedia.org/wiki/Cube_(algebra)

    The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3 . The cube is also the number multiplied by its square : n3 = n × n2 = n × n × n. The cube function is the function x ↦ x3 (often denoted y = x3) that maps a number to its cube. It is an odd function, as.

  3. The Nose (El Capitan) - Wikipedia

    en.wikipedia.org/wiki/The_Nose_(El_Capitan)

    Billy Westbay, Jim Bridwell, and John Long after the first one-day ascent of the Nose in 1975. The Nose is a big wall climbing route up El Capitan. Once considered impossible to climb, [1] El Capitan is now the standard for big wall climbing. It is recognized in the historic climbing text Fifty Classic Climbs of North America and considered a ...

  4. The spider and the fly problem - Wikipedia

    en.wikipedia.org/wiki/The_spider_and_the_fly_problem

    In the typical version of the puzzle, an otherwise empty cuboid room 30 feet long, 12 feet wide and 12 feet high contains a spider and a fly. The spider is 1 foot below the ceiling and horizontally centred on one 12′×12′ wall. The fly is 1 foot above the floor and horizontally centred on the opposite wall.

  5. Cube root - Wikipedia

    en.wikipedia.org/wiki/Cube_root

    Cube root. In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8, denoted , is 2, because 23 = 8, while the other ...

  6. 5-cube - Wikipedia

    en.wikipedia.org/wiki/5-cube

    convex, isogonal regular, Hanner polytope. In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces . It is represented by Schläfli symbol {4,3,3,3} or {4,3 3 }, constructed as 3 tesseracts, {4,3,3}, around each cubic ridge .

  7. Mississippi River - Wikipedia

    en.wikipedia.org/wiki/Mississippi_River

    The average depth of the Mississippi River between Saint Paul and Saint Louis is between 9 and 12 feet (2.7–3.7 m) deep, the deepest part being Lake Pepin, which averages 20–32 feet (6–10 m) deep and has a maximum depth of 60 feet (18 m). Between where the Missouri River joins the Mississippi at Saint Louis, Missouri, and Cairo, Illinois ...

  8. Square root of 5 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_5

    The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5. It is more precisely called the principal square root of 5, to distinguish it from the negative number with the same property. This number appears in the fractional expression for the golden ratio. It can be denoted in surd form as:

  9. Stericated 5-cubes - Wikipedia

    en.wikipedia.org/wiki/Stericated_5-cubes

    Stericated 5-cubes. In five-dimensional geometry, a stericated 5-cube is a convex uniform 5-polytope with fourth-order truncations ( sterication) of the regular 5-cube . There are eight degrees of sterication for the 5-cube, including permutations of runcination, cantellation, and truncation. The simple stericated 5-cube is also called an ...