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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. List of culinary knife cuts - Wikipedia

    en.wikipedia.org/wiki/List_of_culinary_knife_cuts

    Koguchigiri; small edge cuts into tiny round slices. Kushigatagiri; wedge cut or comb cut. Kakugiri; cut into cubes. Sainome-kiri; cut into small cubes. Arare-kiri; cut into small cubes of 5 millimeters in size. Butsugiri; chunk cut, cut into chunks of 3-4 centimeters in size. Usugiri; cut into thin slices.

  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

    A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . A continued fraction is a mathematical expression that can be writen as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple ...

  6. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

  7. Fractal dimension - Wikipedia

    en.wikipedia.org/wiki/Fractal_dimension

    A fractal dimension is an index for characterizing fractal patterns or sets by quantifying their complexity as a ratio of the change in detail to the change in scale. [5]: 1 Several types of fractal dimension can be measured theoretically and empirically (see Fig. 2). [3][9] Fractal dimensions are used to characterize a broad spectrum of ...

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