is bounded. (However, a continuous function must be bounded if its domain is both closed and bounded.) Bounded set Compact support Local boundedness Uniform...

In mathematics, a function is locally bounded if it is bounded around every point. A family of functions is locally bounded if for any point in their...

mathematical analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite): the graph...

precompact or totally bounded if for every r > 0 there is a finite cover of M by open balls of radius r. Every totally bounded space is bounded. To see this,...

of the class of all ordinal numbers. Bounded domain Bounded function Local boundedness Order theory Totally bounded Bartle, Robert G.; Sherbert, Donald...

{\displaystyle Y} is Banach. Bounded set (topological vector space) – Generalization of boundedness Contraction (operator theory) – Bounded operators with sub-unit...

reusing preliminary results or using lookup tables. Memory-bound functions and memory functions are related in that both involve extensive memory access...

{\mathcal {L}}^{\infty }(S,\mu )} consisting of all of measurable functions that are bounded almost everywhere is a seminormed space whose seminorm ‖ f ‖ ∞...

a limited set of operations such as composition, bounded sums, and bounded products. These functions grow no faster than a fixed-height tower of exponentiation...

differentiable function is locally Lipschitz, as continuous functions are locally bounded so its gradient is locally bounded as well. A Lipschitz function g : R → R...

mathematics, a function of bounded mean oscillation, also known as a BMO function, is a real-valued function whose mean oscillation is bounded (finite). The...

contrast, the characteristic function or Fourier transform always exists (because it is the integral of a bounded function on a space of finite measure)...

In mathematics, a uniformly bounded family of functions is a family of bounded functions that can all be bounded by the same constant. This constant is...

paracompactifying. Bounded function – A mathematical function the set of whose values is bounded Bump function – Smooth and compactly supported function Support...

[citation needed] F-bounded quantification or recursively bounded quantification, introduced in 1989, allows for more precise typing of functions that are applied...

functions ƒ with ||ƒ||W,p = 0, such as any bounded function of compact support, so to get a Banach space one has to quotient out by these functions....

defined. Moreover, a function f defined on a bounded interval is Riemann-integrable if and only if it is bounded and the set of points where f is discontinuous...

these distribution functions, then the Helly–Bray theorem does not imply that E(Xn) → E(X), since g(x) = x is not a bounded function. In fact, a stronger...

is bounded. Function bounded on a neighborhood and local boundedness In contrast, a map F : X → Y {\displaystyle F:X\to Y} is said to be bounded on a...

Look up bounded in Wiktionary, the free dictionary. Boundedness, bounded, or unbounded may refer to: Bounded rationality, the idea that human rationality...

Primitive recursive function, a function which can be computed with loops of bounded length Another name for computable function Recurrence relation,...

called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include the set. A set that is not bounded is called...

processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside...

{\displaystyle f} ⁠ is a continuous function on a closed and bounded interval, or more generally a compact set, then it is bounded and the supremum in the above...

compact topological group G carrying a kind of averaging operation on bounded functions that is invariant under translation by group elements. The original...

it is also a bounded subset of C {\displaystyle \mathbb {C} } then it is compact. The function f {\displaystyle f} is essentially bounded if its essential...

complexity is bounded above by a primitive recursive function of the input size. It is hence not particularly easy to devise a computable function that is not...

mathematics, total-boundedness is a generalization of compactness for circumstances in which a set is not necessarily closed. A totally bounded set can be covered...

Branch-and-bound (BB, B&B, or BnB) is a method for solving optimization problems by breaking them down into smaller subproblems and using a bounding function to...

behavior of functions near singularities through infinite sums of more well understood functions, such as polynomials. A bounded function that is holomorphic...