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  2. Table of bases - Wikipedia

    en.wikipedia.org/wiki/Table_of_bases

    This table of bases gives the values of 0 to 1296 in bases 2 to 36, using A−Z for 10−35. "Base" (or "radix") is a term used in discussions of numeral systems which use place-value notation for representing numbers. Base 10 is in bold. All 10s are in italic

  3. Taylor series - Wikipedia

    en.wikipedia.org/wiki/Taylor_series

    The function e (−1/x 2) is not analytic at x = 0: the Taylor series is identically 0, although the function is not. If f ( x ) is given by a convergent power series in an open disk centred at b in the complex plane (or an interval in the real line), it is said to be analytic in this region.

  4. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Graphs of y = b x for various bases b: base 10, base e, base 2, base1 / 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.

  5. Taharqa - Wikipedia

    en.wikipedia.org/wiki/Taharqa

    Taharqa, also spelled Taharka or Taharqo (Ancient Egyptian: 𓇿𓉔𓃭𓈎, romanized: tꜣhrwq, Akkadian: Tar-qu-ú, Hebrew: תִּרְהָקָה, romanized: Tīrhāqā, Manetho's Tarakos, Strabo's Tearco), was a pharaoh of the Twenty-fifth Dynasty of Egypt and qore (king) of the Kingdom of Kush (present day Sudan) from 690 to 664 BC.

  6. Chebyshev polynomials - Wikipedia

    en.wikipedia.org/wiki/Chebyshev_polynomials

    The Chebyshev polynomials form a complete orthogonal system. The Chebyshev series converges to f(x) if the function is piecewise smooth and continuous. The smoothness requirement can be relaxed in most cases – as long as there are a finite number of discontinuities in f(x) and its derivatives.

  7. Archimedes - Wikipedia

    en.wikipedia.org/wiki/Archimedes

    Archimedes gives the value of the square root of 3 as lying between ⁠ 265 / 153 ⁠ (approximately 1.7320261) and ⁠ 1351 / 780 ⁠ (approximately 1.7320512) in Measurement of a Circle. The actual value is approximately 1.7320508, making this a very accurate estimate. He introduced this result without offering any explanation of how he had ...

  8. 5-cell - Wikipedia

    en.wikipedia.org/wiki/5-cell

    In geometry, the 5-cell is the convex 4-polytope with Schläfli symbol {3,3,3}. It is a 5-vertex four-dimensional object bounded by five tetrahedral cells. It is also known as a C 5, hypertetrahedron, 'pentachoron, [1] pentatope, pentahedroid, [2] tetrahedral pyramid, or 4-simplex (Coxeter's polytope), [3] the simplest possible convex 4-polytope, and is analogous to the tetrahedron in three ...

  9. Geometric series - Wikipedia

    en.wikipedia.org/wiki/Geometric_series

    The geometric series is an infinite series derived from a special type of sequence called a geometric progression, which is defined by just two parameters: the initial term and the common ratio . Finite geometric series have a third parameter, the final term's power.