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46,565 tools. Last updated 2025-12-24 19:42
  • Calculate the nth harmonic number H_n = 1 + 1/2 + 1/3 + ... + 1/n for mathematical analysis and series computations.
    MIT License
  • Calculate Catalan's constant G, the sum of the alternating series 1 - 1/9 + 1/25 - 1/49 + ... for mathematical computations.
    MIT License
  • Calculate the nth partial sum of the harmonic series: 1 + 1/2 + 1/3 + ... + 1/n. Input an integer n to compute the sum of reciprocals up to that term.
    MIT License
  • Calculate Apéry's constant ζ(3) to obtain the sum of reciprocal cubes: 1 + 1/8 + 1/27 + ... for mathematical computations.
    MIT License
  • Calculate Euler's number (e) using the mathematical limit definition e = lim(n→∞) (1 + 1/n)^n by specifying the n value for approximation.
    MIT License

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