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In mathematics, the exponential of pi e π, [1] also called Gelfond's constant, [2] is the real number e raised to the power π. Its decimal expansion is given by: e π = 23.140 692 632 779 269 005 72... (sequence A039661 in the OEIS) Like both e and π, this constant is both irrational and transcendental.
Designated as an American National Standard, the Uniform Swimming Pool, Spa and Hot Tub Code (USPSHTC) is a model code developed by the International Association of Plumbing and Mechanical Officials to govern the installation and inspection of plumbing systems associated with swimming pools, spas and hot tubs as a means of promoting the public's health, safety and welfare.
Graphs of y = b x for various bases b: base 10, base e, base 2, base 1 / 2 . Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.
In some sources, boldface or double brackets x are used for floor, and reversed brackets x or ]x[for ceiling. [7] [8] The fractional part is the sawtooth function, denoted by {x} for real x and defined by the formula {x} = x − ⌊x⌋ [9] For all x, 0 ≤ {x} < 1. These characters are provided in Unicode:
In algebraic number theory the n-th power residue symbol (for an integer n > 2) is a generalization of the (quadratic) Legendre symbol to n-th powers. These symbols are used in the statement and proof of cubic , quartic , Eisenstein , and related higher [ 1 ] reciprocity laws .
The Tub (1886) is a pastel artwork by Impressionist artist, Edgar Degas (1834–1917). It is currently housed in the Musée d'Orsay in Paris . Moving away from the traditional depictions of nude women, usually in reference to Aphrodite or Venus, Degas provides a snapshot to the intimate activities among average women in their day to day life.
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