💡 Words with a Similar Meaning to "Borel function"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| borel measurenoun | (mathematical analysis) A measure whose domain is the Borel σ-algebra of a locally compact Hausdorff space. |
| borel setnoun | (mathematical analysis) Any of the members of a Borel σ-algebra. |
| borel transformnoun | (mathematics) A transform used in Borel summation. |
| borel σ-algebranoun | (mathematical analysis) The smallest σ-algebra which contains the topology of a given topological space. |
| borel summationnoun | (mathematics) A summation method for divergent series, particularly useful for summing divergent asymptotic series, and in some sense giving the best possible sum for such series. |
| measurable functionnoun | (mathematics) Any well-behaved function of real numbers between measurable spaces. |
| baire functionnoun | (mathematics) A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions. |
| bounded functionnoun | (mathematics) Any function whose values remain bounded by some constant. |
| heine-borel theoremnoun | (mathematical analysis) A theorem which states that for any subset S of an n-dimensional Euclidean space, S is compact if and only if it is both closed and bounded. |
| bloch functionnoun | (mathematics) Any of the elements of the Bloch space. |
| simple functionnoun | (mathematical analysis) Any complex-valued measurable function whose range is finite. |
| radon measurenoun | (mathematics) A measure on the σ-algebra of Borel sets of a Hausdorff space that is locally finite and inner regular. |
| positive measurenoun | (mathematical analysis) A function whose domain is a σ-algebra, whose codomain is [0,∞], and which is countably additive. |
| bloch spacenoun | (mathematics) The space, denoted by ℬ or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function (1-|z|²)|f^′(z)| is bounded. |
| bessel functionnoun | (mathematics) Any of a class of functions that are solutions to a particular form of differential equation (a Bessel equation) and are typically used to describe waves in a cylindrically symmetric system. |
| functional | Useful; serving a purpose, fulfilling a function. |
| bornologynoun | (mathematics) The set of all bounded subsets of a topological vector space |
| lebesgue integralnoun | (mathematical analysis, singular only) An integral which has more general application than that of the Riemann integral, because it allows the region of integration to be partitioned into not just intervals but any measurable sets for which the function to be integrated has a sufficiently narrow range. |
| beta functionnoun | (mathematical analysis) A mathematical function that is also called the Euler integral of the first kind; it is a symmetric special function. |
| outer measurenoun | (mathematical analysis, measure theory) A measure-like function derived from some premeasure as follows: when it is applied to a set E, it yields the infimum of the premeasures of all possible premeasurable covers of E. More abstractly, a measure-like function whose domain is the power set of some underlying set, which has the properties of (1) yielding zero when applied to the empty set, (2) being monotonic (if A is subset of B then this function applied to A is less-than-or-equal to this function applied to B), (3) being subadditive (if A is a countable sum of Bⱼ's then this function applied to A is less-than-or-equal to the sum of the applications of this function to the Bⱼ's). |
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