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  2. Harmonic series (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_series_(mathematics)

    Calculus. In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: The first terms of the series sum to approximately , where is the natural logarithm and is the Euler–Mascheroni constant. Because the logarithm has arbitrarily large values, the harmonic series does not have a finite limit: it ...

  3. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    Angle-based special right triangles are specified by the relationships of the angles of which the triangle is composed. The angles of these triangles are such that the larger (right) angle, which is 90 degrees or ⁠π 2 ⁠ radians, is equal to the sum of the other two angles. The side lengths are generally deduced from the basis of the unit ...

  4. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

  5. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    Use the integer part, 2, as an approximation for the reciprocal to obtain a second approximation of 4 + ⁠ 1 / 2 ⁠ = 4.5. Now, ⁠ 93 / 43 ⁠ = 2 + ⁠ 7 / 43 ⁠; the remaining fractional part, ⁠ 7 / 43 ⁠, is the reciprocal of ⁠ 43 / 7 ⁠, and ⁠ 43 / 7 ⁠ is around 6.1429. Use 6 as an approximation for this to obtain 2 + ⁠ 1 / ...

  6. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    5D with 4D surfaces. regular 5-polytope. 5-dimensional cross-polytope. 5-dimensional hypercube. 5-dimensional simplex. Five-dimensional space, 5-polytope and uniform 5-polytope. 5-simplex, Rectified 5-simplex, Truncated 5-simplex, Cantellated 5-simplex, Runcinated 5-simplex, Stericated 5-simplex.

  7. One half - Wikipedia

    en.wikipedia.org/wiki/One_half

    One half is the irreducible fraction resulting from dividing one (1) by two (2), or the fraction resulting from dividing any number by its double. It often appears in mathematical equations, recipes, measurements, etc.

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