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  2. Solving quadratic equations with continued fractions - Wikipedia

    en.wikipedia.org/wiki/Solving_quadratic...

    By applying the fundamental recurrence formulas we may easily compute the successive convergents of this continued fraction to be 1, 3/2, 7/5, 17/12, 41/29, 99/70, 239/169, ..., where each successive convergent is formed by taking the numerator plus the denominator of the preceding term as the denominator in the next term, then adding in the ...

  3. 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.

  4. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    For the folded general continued fractions of both expressions, the rate convergence μ = (3 − √ 8) 2 = 17 − √ 288 ≈ 0.02943725, hence ⁠ 1 / μ ⁠ = (3 + √ 8) 2 = 17 + √ 288 ≈ 33.97056, whose common logarithm is 1.531... ≈ ⁠ 26 / 17 ⁠ > ⁠ 3 / 2 ⁠, thus adding at least three digits per two terms. This is because the ...

  5. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    [2] [3] Thus, in the expression 1 + 2 × 3, the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9. When exponents were introduced in the 16th and 17th centuries, they were given precedence over both addition and multiplication and placed as a superscript to the right of ...

  6. HP 35s - Wikipedia

    en.wikipedia.org/wiki/HP_35s

    Entry of mixed fractions involves using decimal points to separate the parts. For example, the sequence 3. 1 5. 1 6 →cm converts 3 + 15 ⁄ 16 inches to 10.0 cm (approximately). The calculator may be set to automatically display values as mixed fractions by toggling the FDISP key. The maximum denominator may be specified using the /c function.

  7. Mathcad - Wikipedia

    en.wikipedia.org/wiki/Mathcad

    Other equation solving systems existed at the time, but did not provide a notebook interface: Software Arts' TK Solver was released in 1982, and Borland's Eureka: The Solver was released in 1987. [4] Mathcad was acquired by Parametric Technology in April 2006. [5] Mathcad was named "Best of '87" and "Best of '88" by PC Magazine ' s editors. [6]

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