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  2. Reciprocal - Wikipedia

    en.wikipedia.org/wiki/Reciprocal

    Multiplicative inverse, in mathematics, the number 1/x, which multiplied by x gives the product 1, also known as a reciprocal; Reciprocal polynomial, a polynomial obtained from another polynomial by reversing its coefficients; Reciprocal rule, a technique in calculus for calculating derivatives of reciprocal functions; Reciprocal spiral, a ...

  3. Multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_inverse

    The reciprocal function: y = 1/x.For every x except 0, y represents its multiplicative inverse. The graph forms a rectangular hyperbola.. In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x −1, is a number which when multiplied by x yields the multiplicative identity, 1.

  4. Reciprocal rule - Wikipedia

    en.wikipedia.org/wiki/Reciprocal_rule

    In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f. The reciprocal rule can be used to show that the power rule holds for negative exponents if it has already been established for positive exponents.

  5. Proportionality (mathematics) - Wikipedia

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

    In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio. The ratio is called coefficient of proportionality (or proportionality constant) and its reciprocal is known as constant of normalization (or normalizing constant).

  6. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The reciprocal of a fraction is another fraction with the numerator and denominator exchanged. The reciprocal of ⁠ 3 / 7 ⁠, for instance, is ⁠ 7 / 3 ⁠. The product of a non-zero fraction and its reciprocal is 1, hence the reciprocal is the multiplicative inverse of a fraction. The reciprocal of a proper fraction is improper, and the ...

  7. Reciprocity - Wikipedia

    en.wikipedia.org/wiki/Reciprocity

    Reciprocal polynomials, the coefficients of the remainder polynomial are the bits of the CRC; Reciprocal square root; Reciprocity (projective geometry), a collineation from a projective space onto its dual space, taking points to hyperplanes (and vice versa) and preserving incidence; Frobenius reciprocity, from group representation theory

  8. Reciprocal lattice - Wikipedia

    en.wikipedia.org/wiki/Reciprocal_lattice

    Reciprocal space (also called k-space) provides a way to visualize the results of the Fourier transform of a spatial function. It is similar in role to the frequency domain arising from the Fourier transform of a time dependent function; reciprocal space is a space over which the Fourier transform of a spatial function is represented at spatial frequencies or wavevectors of plane waves of the ...

  9. Harmonic mean - Wikipedia

    en.wikipedia.org/wiki/Harmonic_mean

    In mathematics, the harmonic mean is a kind of average, one of the Pythagorean means. ... It is the reciprocal of the arithmetic mean of the reciprocals, ...