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  2. Relation (mathematics) - Wikipedia

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

    In mathematics, a relation denotes some kind of relationship between two objects in a set, which may or may not hold. [1] As an example, " is less than " is a relation on the set of natural numbers ; it holds, for instance, between the values 1 and 3 (denoted as 1 < 3 ), and likewise between 3 and 4 (denoted as 3 < 4 ), but not between the ...

  3. Reciprocal difference - Wikipedia

    en.wikipedia.org/wiki/Reciprocal_difference

    In mathematics, the reciprocal difference of a finite sequence of numbers (,,...,) on a function () is defined inductively by ...

  4. 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).

  5. Pole and polar - Wikipedia

    en.wikipedia.org/wiki/Pole_and_polar

    The relationship between poles and polars is reciprocal. Thus, if a point A lies on the polar line q of a point Q, then the point Q must lie on the polar line a of the point A. The two polar lines a and q need not be parallel. There is another description of the polar line of a point P in the case that it lies outside the circle C.

  6. Reciprocity - Wikipedia

    en.wikipedia.org/wiki/Reciprocity

    Reciprocity (photography), the relationship between the intensity of the light and duration of the exposure that result in identical exposure; Reciprocity of twist and wrench, in screw theory; Reciprocity theorem (disambiguation), several unrelated results; Reciprocity of antenna transmitting and receiving characteristics

  7. Mutual information - Wikipedia

    en.wikipedia.org/wiki/Mutual_information

    In probability theory and information theory, the mutual information (MI) of two random variables is a measure of the mutual dependence between the two variables. More specifically, it quantifies the " amount of information " (in units such as shannons ( bits ), nats or hartleys ) obtained about one random variable by observing the other random ...

  8. Reciprocity law - Wikipedia

    en.wikipedia.org/wiki/Reciprocity_law

    In mathematics, a reciprocity law is a generalization of the law of quadratic reciprocity to arbitrary monic irreducible polynomials () with integer coefficients. Recall that first reciprocity law, quadratic reciprocity, determines when an irreducible polynomial f ( x ) = x 2 + a x + b {\displaystyle f(x)=x^{2}+ax+b} splits into linear terms ...

  9. 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.