almost everywhere if, in a technical sense, the set for which the property holds takes up nearly all possibilities. The notion of "almost everywhere"...

almost everywhere convergence of a sequence of measurable functions defined on a measurable space. That means pointwise convergence almost everywhere...

set might not be empty. The concept is analogous to the concept of "almost everywhere" in measure theory. In probability experiments on a finite sample...

a function in L1 whose Fourier series diverges almost everywhere (later improved to diverge everywhere). Jean-Pierre Kahane and Yitzhak Katznelson proved...

elementary real analysis. To say that the sequence Xn converges almost surely or almost everywhere or with probability 1 or strongly towards X means that P (...

{\displaystyle X_{1}} and Y 2 {\displaystyle Y_{2}} ; the distribution has support everywhere but at the origin. The right panel shows the joint distribution of Y 1...

functions is bounded in absolute value by an integrable function and is almost everywhere point wise convergent to a function then the sequence converges in...

generally, "almost all" is sometimes used in the sense of "almost everywhere" in measure theory, or in the closely related sense of "almost surely" in...

continuous ⊆ absolutely continuous ⊆ bounded variation ⊆ differentiable almost everywhere. A continuous function fails to be absolutely continuous if it fails...

absolutely continuous and thus differentiable almost everywhere, and satisfies |f′(x)| ≤ K for almost all x in I, then f is Lipschitz continuous with...

Exiled from Almost Everywhere (Spanish: El exiliado de aquí y allá) is a 2008 novel by the Spanish writer Juan Goytisolo. It tells the story of a Parisian...

numbers α, β ≥ 0, not both of them zero, such that α|f |p = β |g|q μ-almost everywhere. The numbers p and q above are said to be Hölder conjugates of each...

nth power almost everywhere locally is an nth power globally can fail in two distinct ways: the element can be an nth power almost everywhere locally but...

result in mathematical analysis establishing the pointwise (Lebesgue) almost everywhere convergence of Fourier series of L2 functions, proved by Lennart Carleson (1966)...

statements that are not valid for all elements in a set, but rather almost everywhere, that is, except on a set of measure zero. While the exact definition...

property, then f = g {\displaystyle f=g} μ {\displaystyle \mu } -almost everywhere. The function f {\displaystyle f} is commonly written d ν d μ {\frac...

derivative, and measure. Though it is continuous everywhere and has zero derivative almost everywhere, its value still goes from 0 to 1 as its argument...

absolute value is Lebesgue integrable, where functions which agree almost everywhere are identified. More generally, let ( S , Σ , μ ) {\displaystyle (S...

conditions, the time average of a function along the trajectories exists almost everywhere and is related to the space average. Two of the most important theorems...

pointwise almost everywhere, by the Titchmarsh theorem. In the case p = 1, the Hilbert transform still converges pointwise almost everywhere, but may itself...

despite being differentiable almost everywhere. This is because any weak derivative of c would have to be equal almost everywhere to the classical derivative...

and meat is used as food by humans. Cattle are kept as livestock almost everywhere except in parts of India and Nepal, where they are considered sacred...

μ {\displaystyle \mu } -almost everywhere e s s s u p p ⁡ ( f ) := X ∖ ⋃ { Ω ⊆ X : Ω  is open and  f = 0 μ -almost everywhere in  Ω } . {\displaystyle...

series diverges almost everywhere. He later constructed an example of an integrable function whose Fourier series diverges everywhere. It is possible...

on HTTPS Everywhere, Electronic Frontier Foundation, 12 January 2023, retrieved 12 January 2023 "Automatic web encryption (almost) everywhere - The H Open...

points. Weierstrass's demonstration that continuity did not imply almost-everywhere differentiability upended mathematics, overturning several proofs...

says that pointwise convergence almost everywhere on A implies the apparently much stronger uniform convergence everywhere except on some subset B of arbitrarily...

the most numerous Italian armoured fighting vehicle and saw service almost everywhere the Italians fought in the Second World War but proved inadequate...

during the bock beer season. Nowadays, it can be bought all year round almost everywhere in Germany in butcher's shops, cheaper restaurants, snack bars, food...

property that is true of the elements of a conull set is said to be true almost everywhere. Führ, Hartmut (2005), Abstract harmonic analysis of continuous wavelet...