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Freshness: newest result fetched 24 d ago · median age of these results 24 d · 2 of 30 carry a fetch time
https://en.wikipedia.org/wiki/Semigroup
A semigroup without an identity element can be easily turned into a monoid by just adding an identity element
https://en.wikipedia.org/wiki/Homomorphism
Each of those can be defined in a way that may be generalized to any class of morphisms
https://en.wikipedia.org/wiki/Embedded_computer_system
Since the embedded system is dedicated to specific tasks, design engineers can optimize it to reduce the size and cost of the product and increase its reliability and performance
https://en.wikipedia.org/wiki/Flatbed_scanner
A handheld scanner is a portable version of an image scanner that can be used on any flat surface
https://en.wikipedia.org/wiki/Supercomputer
Since 2022, exascale supercomputers have existed which can perform over 1018 FLOPS
https://en.wikipedia.org/wiki/Big_tech
[17] After the dot-com bubble wiped out most of the Nasdaq Composite stock market index, surviving tech startups expanded their market share and became dominant in their markets
https://en.wikipedia.org/wiki/Linear_map
Linear maps can often be represented as matrices, and simple examples include rotation and reflection linear transformations
https://en.wikipedia.org/wiki/Affine_space
As in Euclidean space, the fundamental objects in an affine space are called points, which can be thought of as locations in the space without any size or shape: zero-dimensional
https://en.wikipedia.org/wiki/Dirac_delta_function
[2] Thus it can be represented heuristically as δ ( x ) = { 0 , x ≠ 0 ∞ , x = 0 {\displaystyle \delta (x)={\begin{cases}0,&x\neq 0\\{\infty },&x=0\end{cases}}} such that ∫ − ∞ ∞ δ ( x ) d x = 1
https://en.wikipedia.org/wiki/Random_matrix
Many physical phenomena, such as the spectrum of nuclei of heavy atoms,[1][2] the thermal conductivity of a lattice, or the emergence of quantum chaos,[3] can be modeled mathematically as problems concerning large, random matrices
https://en.wikipedia.org/wiki/Wavelet
As a mathematical tool, wavelets can be used to extract information from many kinds of data, including audio signals and images
https://en.wikipedia.org/wiki/Cloud_computing
This article may incorporate text from a large language model, which is prohibited in Wikipedia articles
https://en.wikipedia.org/wiki/Attention_(machine_learning)
More generally, attention encodes vectors called token embeddings across a fixed-width sequence that can range from tens to millions of tokens in size
https://en.wikipedia.org/wiki/Clifford_algebra
The idea of being the "freest" or "most general" algebra subject to this identity can be formally expressed through the notion of a universal property, as done below
https://en.wikipedia.org/wiki/BRST_charge
There are other kinds of "sanity checks" that can be performed on a quantum field theory to determine whether it fits qualitative phenomena such as quark confinement and asymptotic freedom
https://en.wikipedia.org/wiki/Corn_production
en |doi-access=free }}</ref>"},"authority":{"wt":"[[Carl Linnaeus|L
https://en.wikipedia.org/wiki/Kuiper_belt
html |url-status=live }}</ref> the editorial choice for Wikipedia articles on the trans-Neptunian region is to make this distinction as well
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/Alain_Badiou
com/blogs/2033-alain-badiou-mao-thinks-in-an-almost-infinite-way|access-date=2021-11-19|website=Versobooks
https://en.wikipedia.org/wiki/Smartphone
A Nexus 6, an Android smartphone, displaying the Main Page of the English Wikipedia
A smartphone is a mobile device that combines the functionality of a traditional mobile phone (feature phone) with advanced computing capabilities
https://en.wikipedia.org/wiki/Computer_program
Source code needs another computer program to execute because computers can only execute their native machine instructions
https://en.wikipedia.org/wiki/Flat_spacetime
In Euclidean space, the distance between any two distinct points is greater than zero, but in Minkowski spacetime, the interval between two distinct events can be zero
https://en.wikipedia.org/wiki/Carnegie_Mellon_University
org/web/20151013005359/http://coursecatalog
https://en.wikipedia.org/wiki/Group_(mathematics)
In addition to their abstract properties, group theorists also study the different ways in which a group can be expressed concretely, both from a point of view of representation theory (that is, through the representations of the group) and of computational group theory
https://en.wikipedia.org/wiki/Admiralty_Islands_campaign
Series of WWII battles
80 days"},"location":{"wt":"[[Admiralty Islands]], Territory of New Guinea ([[Japanese occupation of New Guinea|Japanese-occupied]])"},"coordinates":{"wt":"{{Coord|2|2|S|147|16|E|region:PG-MRL_type:event|display
https://en.wikipedia.org/wiki/Glossary_of_ancient_Roman_religion
[6] Aedes is one of several Latin words that can be translated as "shrine" or "temple"; see also delubrum and fanum
https://en.wikipedia.org/wiki/Hippotraginae
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https://en.wikipedia.org/wiki/Airco_DH.2
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https://en.wikipedia.org/wiki/Even-toed_ungulate
Order of mammals
This article is missing information about whale traits and physical traits uniting whales with terrestrial artiodactyls. Please expand the article to include this information. Further details may exist on the talk page.
https://en.wikipedia.org/wiki/Hawker_Siddeley_Trident
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