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...

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

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...

a function f : X → Y {\displaystyle f:X\to Y} is called "bounded" then this usually means that its image f ( X ) {\displaystyle f(X)} is a bounded subset...

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

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,...

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...

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

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...

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...

essentially bounded functions, with the norm given by the essential supremum, and the positive elements of the dual of this space are given by bounded contents...

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

recursive functions are the same as for primitive recursive functions, except that primitive recursion is replaced by bounded summation and bounded product...

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...

\mathbb {R} ^{n}} ⁠ which is bounded above or bounded below, then f is constant. (Compare Liouville's theorem for functions of a complex variable). Edward...

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

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....

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

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...

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

recursive function can grow. And any function that can be computed by a Turing machine in a running time bounded by a primitive recursive function is itself...

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...

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

The function 1 x , {\displaystyle {\tfrac {1}{x}},} defined on [ 1 , ∞ ) , {\displaystyle [1,\infty ),} is square-integrable. Bounded functions, defined...

theorems about the analytic structure of the bounded function and its integral transforms can be stated. A function f ( z ) {\displaystyle f(z)} defined on...

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

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...