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searching for Bounded function 37 found (68 total)

alternate case: bounded function

Classification of discontinuities (3,545 words) [view diff] exact match in snippet view article find links to article

I = [ a , b ] {\displaystyle I=[a,b]} and f {\displaystyle f} is a bounded function, it is well-known of the importance of the set D {\displaystyle D}
Sun–Ni law (1,687 words) [view diff] exact match in snippet view article find links to article
Gustafson's Law. When the memory-bounded function G(M)=1, it resolves to Amdahl's law; when the memory-bounded function G(M)=m, the number of processors
Nachbin's theorem (1,308 words) [view diff] exact match in snippet view article find links to article
notation, since a number of theorems about the analytic structure of the bounded function and its integral transforms can be stated. A function f ( z ) {\displaystyle
Spectral theory of normal C*-algebras (3,455 words) [view diff] no match in snippet view article find links to article
In functional analysis, every C*-algebra is isomorphic to a subalgebra of the C*-algebra B ( H ) {\displaystyle {\mathcal {B}}(H)} of bounded linear operators
Bretagnolle–Huber inequality (1,629 words) [view diff] exact match in snippet view article find links to article
distributions P {\displaystyle P} and Q {\displaystyle Q} by a concave and bounded function of the Kullback–Leibler divergence D K L ( P ∥ Q ) {\displaystyle D_{\mathrm
Malgrange–Zerner theorem (443 words) [view diff] exact match in snippet view article find links to article
X} . Let f : X → C {\displaystyle f:X\to \mathbb {C} } be a locally bounded function such that f ∈ C ∞ ( X ) {\displaystyle f\in C^{\infty }(X)} and that
Furstenberg boundary (558 words) [view diff] exact match in snippet view article find links to article
The association of a bounded harmonic function to an (essentially) bounded function on the boundary is one-to-one. In general, let G be a semi-simple Lie
Henri Lebesgue (2,161 words) [view diff] exact match in snippet view article find links to article
theorems in this work: that a trigonometrical series representing a bounded function is a Fourier series, that the nth Fourier coefficient tends to zero
Essential range (1,235 words) [view diff] exact match in snippet view article find links to article
essential range is bounded. The essential range of an essentially bounded function f is equal to the spectrum σ ( f ) {\displaystyle \sigma (f)} where
Monotone class theorem (694 words) [view diff] exact match in snippet view article find links to article
{\mathcal {H}}} is a sequence of non-negative functions that increase to a bounded function f {\displaystyle f} then f ∈ H . {\displaystyle f\in {\mathcal {H}}
Continuous linear operator (4,788 words) [view diff] no match in snippet view article find links to article
translation, scalar multiple, and subset of a bounded set is again bounded. Function bounded on a set If S ⊆ X {\displaystyle S\subseteq X} is a set then
ELEMENTARY (1,112 words) [view diff] exact match in snippet view article find links to article
analogous to that we have for elementary functions. Namely, a polynomial-bounded function is lower elementary if and only if it can be expressed using a composition
Almost periodic function (2,838 words) [view diff] exact match in snippet view article find links to article
Warning: there are nonzero 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
Smith–Volterra–Cantor set (952 words) [view diff] exact match in snippet view article find links to article
indicator function of the Smith–Volterra–Cantor set is an example of a bounded function that is not Riemann integrable on (0,1) and moreover, is not equal
Stimulus–response model (1,309 words) [view diff] exact match in snippet view article find links to article
minimal maximal muscle contraction), it is often applicable to use a bounded function (such as the logistic function) to model the response. Similarly, a
Toeplitz matrix (2,058 words) [view diff] exact match in snippet view article find links to article
{\displaystyle A} are the Fourier coefficients of some essentially bounded function f {\displaystyle f} . In such cases, f {\displaystyle f} is called
Particle filter (16,933 words) [view diff] exact match in snippet view article find links to article
{\displaystyle G_{k}(x_{k})=p(y_{k}|x_{k}).} In this notation, for any bounded function F on the set of trajectories of X k {\displaystyle X_{k}} from the
Moment-generating function (2,791 words) [view diff] exact match in snippet view article find links to article
or Fourier transform always exists (because it is the integral of a bounded function on a space of finite measure), and for some purposes may be used instead
Content (measure theory) (2,028 words) [view diff] exact match in snippet view article
the total content of a space is finite. If f {\displaystyle f} is a bounded function on the space such that the inverse image of any open subset of the
List of types of functions (1,407 words) [view diff] exact match in snippet view article find links to article
from the right. Left-continuous function: defined similarly. Locally bounded function: bounded around every point. Monotonic function: does not reverse the
Multiplier (Fourier analysis) (2,815 words) [view diff] exact match in snippet view article
Let m : R → R {\displaystyle m:\mathbb {R} \to \mathbb {R} } be a bounded function that is continuously differentiable on every set of the form ( − 2
Height function (1,908 words) [view diff] exact match in snippet view article find links to article
global sections changes h L {\displaystyle h_{L}} , but only by a bounded function of p. Thus h L {\displaystyle h_{L}} is well-defined up to addition
Maximal function (1,467 words) [view diff] exact match in snippet view article find links to article
it is clearly true when p = ∞, since we cannot take an average of a bounded function and obtain a value larger than the largest value of the function. Property
Hilbert's nineteenth problem (3,219 words) [view diff] exact match in snippet view article find links to article
( u ) {\displaystyle D_{i}(a^{ij}(x)D_{j}u)=D_{t}(u)} where u is a bounded function of x1,...,xn, t defined for t ≥ 0. From his estimate Nash was able
Decomposition of spectrum (functional analysis) (3,810 words) [view diff] exact match in snippet view article
the continuous functional calculus to bounded Borel functions. For a bounded function g that is Borel measurable, define, for a proposed g(T) ∫ σ ( T ) g
Singular trace (3,733 words) [view diff] exact match in snippet view article find links to article
_{X}f(x)\,dx.} where dx is the volume form on X, f is an essentially bounded function, and Mf is the bounded operator Mf h(x) = (fh)(x) for any square-integrable
Banach space (17,224 words) [view diff] exact match in snippet view article find links to article
}} in the bidual X ′ ′ {\displaystyle X^{\prime \prime }} defines a bounded function on K {\displaystyle K} : x ′ ∈ K ↦ x ″ ( x ′ ) , | x ″ ( x ′ ) | ≤
Hilbert transform (8,095 words) [view diff] exact match in snippet view article find links to article
oscillation (BMO) classes. Interpreted naïvely, the Hilbert transform of a bounded function is clearly ill-defined. For instance, with u = sgn(x), the integral
István Fenyő (1,860 words) [view diff] exact match in snippet view article find links to article
{\displaystyle d:\mathbb {R} \times \mathbb {R} \rightarrow E} is a bounded function. He was also known for discovering types of Jacobian functions that
Poisson point process (15,491 words) [view diff] exact match in snippet view article find links to article
functional being defined analogously with respect to any non-negative bounded function v {\displaystyle \textstyle v} on R d {\displaystyle \textstyle \mathbb
Bounded variation (8,506 words) [view diff] exact match in snippet view article find links to article
{\displaystyle [a,b]} with a > 0 {\displaystyle a>0} . Every monotone, bounded function is of bounded variation. For such a function f {\displaystyle f} on
Kähler–Einstein metric (4,231 words) [view diff] exact match in snippet view article find links to article
to the Kähler–Einstein metric on X ″ {\displaystyle X''} , up to a bounded function which is smooth away from an analytic subvariety of X {\displaystyle
Calculus on Euclidean space (11,442 words) [view diff] exact match in snippet view article find links to article
_{i}\operatorname {vol} (D_{i})<\epsilon .} A key theorem is Theorem —  A bounded function f {\displaystyle f} on a closed rectangle is integrable if and only
Final value theorem (3,270 words) [view diff] exact match in snippet view article find links to article
{\displaystyle f:(0,\infty )\to \mathbb {C} } be a continuous and bounded function such that such that the following limit exists lim T → ∞ 1 T ∫ 0 T
Imprecise Dirichlet process (3,277 words) [view diff] exact match in snippet view article find links to article
{\displaystyle P\sim \mathrm {DP} (s,G_{0})} . Then consider a real-valued bounded function f {\displaystyle f} defined on ( X , B ) {\displaystyle (\mathbb {X}
Singular integral operators on closed curves (5,028 words) [view diff] exact match in snippet view article find links to article
}} where δ = |1 – eiε|. Since it is defined as convolution with a bounded function, it is a bounded operator on L2(T). Now H ε 1 = i π ∫ ε π 2 ℜ ( 1 −
Singular integral operators of convolution type (12,876 words) [view diff] exact match in snippet view article find links to article
,} where δ = |1 – eiε|. Since it is defined as convolution with a bounded function, it is a bounded operator on L2(T). Now H ε 1 = i π ∫ ε π 2 ℜ ( 1 −