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  2. Silver ratio - Wikipedia

    en.wikipedia.org/wiki/Silver_ratio

    The silver ratio is a Pisot–Vijayaraghavan number (PV number), as its conjugate 1 − √ 2 = โ  −1 δSโ  ≈ −0.41421 has absolute value less than 1. In fact it is the second smallest quadratic PV number after the golden ratio. This means the distance from δ n. S to the nearest integer is โ  1 δ n.

  3. 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 โ  โ , where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include โ  1 2 โ , − โ  8 5 โ , โ  −8 5 โ , and โ  8 −5 โ .

  4. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    The napkin folding problem is the problem of whether a square or rectangle of paper can be folded so the perimeter of the flat figure is greater than that of the original square. The placement of a point on a curved fold in the pattern may require the solution of elliptic integrals.

  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. Cuisenaire rods - Wikipedia

    en.wikipedia.org/wiki/Cuisenaire_rods

    Cuisenaire rods. Cuisenaire rods are mathematics learning aids for pupils that provide an interactive, hands-on [1] way to explore mathematics and learn mathematical concepts, such as the four basic arithmetical operations, working with fractions and finding divisors. [2][3] In the early 1950s, Caleb Gattegno popularised this set of coloured ...

  7. 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.

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