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the (strong) limit of ψ k {\displaystyle \psi _{k}} as k → ∞ does not exist. On the other hand, by the Riemann–Lebesgue lemma, the weak limit exists and...

inaccessible if it is a regular weak limit cardinal. It is strongly inaccessible, or just inaccessible, if it is a regular strong limit cardinal (this is equivalent...

In mathematics, limit cardinals are certain cardinal numbers. A cardinal number λ is a weak limit cardinal if λ is neither a successor cardinal nor zero...

Mach wave is the weak limit of an oblique shock wave where time averages of flow quantities don't change (a normal shock is the other limit). If the size...

The limit (or colimit) of this diagram is the same as the limit (or colimit) of the original collection of objects and morphisms. Weak limit and weak colimits...

n\to \infty } . The central limit theorem has a proof using characteristic functions. It is similar to the proof of the (weak) law of large numbers. Assume...

{\displaystyle (\mu _{n})_{n\in \mathbb {N} }} converges weakly to μ {\displaystyle \mu } . The weak limit of a sequence of probability measures, provided it...

\ell ^{1}} cannot be weak*-limit of sequences in ℓ 1 , {\displaystyle \ell ^{1},} since ℓ 1 {\displaystyle \ell ^{1}} is weakly sequentially complete...

disrupting the quantum state. The quantum Cheshire cat appears in the weak limit of the interaction. When a sufficiently small magnetic field is applied...

done here, the delta function is often manipulated as a kind of limit (a weak limit) of a sequence of functions, each member of which has a tall spike at...

function can be used as a nascent delta function, meaning that the following weak limit holds: lim a → 0 sin ⁡ ( π x a ) π x = lim a → 0 1 a sinc ⁡ ( x a ) =...

has an equally large homogeneous subset Weakly compact set, a compact set in a space with the weak topology Weakly compact set, a set that has some but not...

rich and weak limit to the air-fuel ratio, beyond which the flame is extinguished. The range of air-fuel ratio between the rich and weak limits is reduced...

differentiability. In some cases, a weak limit is taken instead of a strong limit, which leads to the notion of a weak Gateaux derivative. At each point...

holds under much weaker conditions. For instance, this holds for the above example provided that the limit is understood as a weak limit of measures (see...

three most common variations of hold 'em are limit hold 'em, no-limit hold 'em and pot-limit hold 'em. Limit hold 'em has historically been the most popular...

let the spherical wave form F be a delta function: that is, let F be a weak limit of continuous functions whose integral is unity, but whose support (the...

Economically Weaker Section (EWS) in India is a subcategory of people having an annual family income less than ₹8 lakh (US$9,600) and who do not belong...

equivalence of gravitational and inertial mass is a consequence of nature. The weak form, known for centuries, relates to masses of any composition in free fall...

In mathematics, the inverse limit (also called the projective limit) is a construction that allows one to "glue together" several related objects, the...