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https://en.wikipedia.org/wiki/Dobinski's_formula
[3] Recall that if x {\displaystyle x} and n {\displaystyle n} are nonnegative integers then the number of one-to-one functions that map a size- n {\displaystyle n} set into a size- x {\displaystyle x} set is the falling factorial
( x ) n = x ( x − 1 ) ( x − 2 ) ⋯ ( x − n + 1 ) {\displaystyle (x)_{n}=x(x-1)(x-2
https://en.wikipedia.org/wiki/Gentoo_Linux
org/Funtoo_Linux_History|title=Funtoo Linux History|publisher=funtoo
https://en.wikipedia.org/wiki/Search_engine
For a search provider, its engine is part of a distributed computing system that can encompass many data centers throughout the world
https://en.wikipedia.org/wiki/Web_search_engine
For a search provider, its engine is part of a distributed computing system that can encompass many data centers throughout the world
https://en.wikipedia.org/wiki/MS-DOS
com/resources/documentation/windows/xp/all/proddocs/en-us/windows_dos_overview
https://en.wikipedia.org/wiki/Diffusion_equation
The resulting diffusion algorithm can be written as an image convolution with a varying kernel (stencil) of size 3 × 3 in 2D and 3 × 3 × 3 in 3D
https://en.wikipedia.org/wiki/Shell_(computing)
In the lower right we can see a terminal emulator running a Unix shell, in which the user can type commands as if they were sitting at a terminal
https://en.wikipedia.org/wiki/Android_(operating_system)
com/ndk/guides/abis |website=Android Developers |access-date=October 12, 2025}}</ref>)</small> -->"},"kernel type":{"wt":"[[Monolithic kernel|Monolithic]] ([[Linux kernel]])"},"userland":{"wt":"[[Bionic (software)|Bionic libc]], [[KornShell|mksh]] shell, [[Toybox]] as core utilities
https://en.wikipedia.org/wiki/OS/2
com/article/preview-ecomstation-22-beta-the-legacy-of-os-2-lives-on/ |title=Preview: eComStation 2
https://en.wikipedia.org/wiki/Windows_10
com/en-us/store/collections/localexperiencepacks
https://en.wikipedia.org/wiki/Amazon_Kindle
com Help Kindle E-Reader Software Updates|website=Amazon|access-date=July 17, 2026|url-status=live}}</ref></span>\n|'''Kindle 1''': 1
https://en.wikipedia.org/wiki/Shaolin_temple
-- or | elevation_ft = -->"},"elevation_footnotes":{"wt":""},"designated":{"wt":""},"added":{"wt":""},"refnum":{"wt":""},"footnotes":{"wt":"{{Infobox UNESCO World Heritage Site\n| part_of = Historic Monuments of Dengfeng in \"The Centre of Heaven and Earth\"\n| child = yes\n| criteria = Cultural: (iv)\n| ID = 1305-005\
https://en.wikipedia.org/wiki/FLOSS
org/core/books/abs/public-rights/public-rights-copyrights-public-domains/96A7AC8086CADA16AAE2B1FE221A15ED |url-access=subscription |doi=10
https://en.wikipedia.org/wiki/Survivor:_Marquesas
com/shows/survivor/episodes/20143 Recap]\n"},"7":{"wt":" OriginalAirDate = {{Start date|2002|2|21}}\n"},"8":{"wt":" Aux4 = 9
https://en.wikipedia.org/wiki/Malware
Devices can be infected during manufacturing or supply if quality control is inadequate
https://en.wikipedia.org/wiki/Group_homomorphism
}
The kernel and image of a homomorphism can be interpreted as measuring how close it is to being an isomorphism
https://en.wikipedia.org/wiki/Linux
com/en/documentation/red_hat_enterprise_linux/5/html/5
https://en.wikipedia.org/wiki/Reconstruction_filter
[2] A number of comparisons have been made, by various criteria;[1][2][3][4] one observation is that reconstruction can be improved if the derivative of the signal is also known, in addition to the amplitude,[3] and conversely that also performing derivative reconstruction can improve signal reconstruction methods
https://en.wikipedia.org/wiki/Chaotic_systems
[2] The butterfly effect, an underlying principle of chaos, describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state (meaning there is sensitive dependence on initial conditions)
https://en.wikipedia.org/wiki/Coula_edulis
The nut is an ellipsoidal drupe available from August to January, 3–4 cm long, with flesh surrounding the kernel, 5–6 mm thick, smooth in texture and can be red or green
https://en.wikipedia.org/wiki/Module_homomorphism
Explicitly, if M and N are left modules over a ring R, then a function f : M → N {\displaystyle f:M\to N} is called an R-module homomorphism or an R-linear map if for any x, y in M and r in R,
f ( x + y ) = f ( x ) + f ( y ) , {\displaystyle f(x+y)=f(x)+f(y),} f ( r x ) = r f ( x )
https://en.wikipedia.org/wiki/Cross-correlation
If each of X {\displaystyle \mathbf {X} } and Y {\displaystyle \mathbf {Y} } is a scalar random variable which is realized repeatedly in a time series, then the correlations of the various temporal instances of X {\displaystyle \mathbf {X} } are known as autocorrelations of X {\displaystyle \mathbf {X} } , and the
https://en.wikipedia.org/wiki/Skype
com/en-us/store/p/skype-preview/9wzdncrfj364 |title=Skype |publisher=Microsoft Store}}</ref>"},"genre":{"wt":"[[Videoconferencing]], [[VoIP]] and [[Instant messaging]]"},"license":{"wt":"[[Proprietary software]]"},"website":{"wt":"{{URL| https://web
https://en.wikipedia.org/wiki/Kriging
The resulting posterior distribution is also Gaussian, with a mean and covariance that can be simply computed from the observed values, their variance, and the kernel matrix derived from the prior
https://en.wikipedia.org/wiki/Congruence_relation
Particular definitions of congruence can be made for groups, rings, vector spaces, modules, semigroups, lattices, and so forth
https://en.wikipedia.org/wiki/Group_representation
vector space automorphisms); in particular, they can be used to represent group elements as invertible matrices so that the group operation can be represented by matrix multiplication
https://en.wikipedia.org/wiki/Atomic_nuclei
In a nucleus that occupies a certain energy level (for example, the ground state), each nucleon can be said to occupy a range of locations
https://en.wikipedia.org/wiki/Ideal_(ring_theory)
An ideal can be used to construct a quotient ring in a way similar to how, in group theory, a normal subgroup can be used to construct a quotient group
https://en.wikipedia.org/wiki/Normal_subgroup
In other words, a subgroup N {\displaystyle N} of the group G {\displaystyle G} is normal in G {\displaystyle G} if and only if g n g − 1 ∈ N {\displaystyle gng^{-1}\in N} for all g ∈ G {\displaystyle g\in G} and n ∈ N
https://en.wikipedia.org/wiki/Integral_domain
[1][2] In an integral domain, every nonzero element a has the cancellation property, that is, if a ≠ 0, ab = ac implies b = c