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2. Interval (mathematics) - Wikipedia

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

   This characterization is used to specify intervals by mean of interval notation, which is described below. An open interval does not include any endpoint, and is indicated with parentheses. [2] For example, (,) = {< <} is the interval of all real numbers greater than 0 and less than 1.

3. Nested intervals - Wikipedia

   en.wikipedia.org/wiki/Nested_intervals

   In practice, only has to be considered, which converges to (as does of course the lower interval bound). This algorithm is a special case of Newton's method . Archimedes' circle measurement

4. Darboux integral - Wikipedia

   en.wikipedia.org/wiki/Darboux_integral

   In real analysis, the Darboux integral is constructed using Darboux sums and is one possible definition of the integral of a function.Darboux integrals are equivalent to Riemann integrals, meaning that a function is Darboux-integrable if and only if it is Riemann-integrable, and the values of the two integrals, if they exist, are equal. [1]

5. Interval (music) - Wikipedia

   en.wikipedia.org/wiki/Interval_(music)

   The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).

6. Subset - Wikipedia

   en.wikipedia.org/wiki/Subset

   If A and B are sets and every element of A is also an element of B, then: . A is a subset of B, denoted by , or equivalently,; B is a superset of A, denoted by .; If A is a subset of B, but A is not equal to B (i.e. there exists at least one element of B which is not an element of A), then:

7. Inverse hyperbolic functions - Wikipedia

   en.wikipedia.org/wiki/Inverse_hyperbolic_functions

   The principal values of the square roots are both defined, except if z belongs to the real interval (−∞, 1]. If the argument of the logarithm is real, then z is real and has the same sign. Thus, the above formula defines a principal value of arcosh outside the real interval (−∞, 1] , which is thus the unique branch cut.