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Freshness: newest result fetched 26 d ago · median age of these results 26 d · 3 of 30 carry a fetch time
https://en.wikipedia.org/wiki/National_Security_Agency
com/world/national-security/nsa-growth-fueled-by-need-to-target-terrorists/2013/07/21/24c93cf4-f0b1-11e2-bed3-b9b6fe264871_story
https://en.wikipedia.org/wiki/Malware
Devices can be infected during manufacturing or supply if quality control is inadequate
https://en.wikipedia.org/wiki/Thales_Group
com/en/news-centre/press-releases/thales-reports-its-2025-full-year-results |title=Thales reports its 2025 full-year results |publisher=Thales |access-date=}}</ref>"},"revenue_year":{"wt":"2025"},"operating_income":{"wt":"{{increase}} €2
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/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/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/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/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
https://en.wikipedia.org/wiki/Elaeis_guineensis
org/species/13416970/13416973 | access-date= 1 September 2021}}</ref>"},"genus":{"wt":"Elaeis"},"species":{"wt":"guineensis"},"authority":{"wt":"[[Nikolaus Joseph von Jacquin|Jacq
https://en.wikipedia.org/wiki/CP/M
COM)"},"license":{"wt":"Originally [[Proprietary software|proprietary]], now [[BSD licenses|BSD]]-like"},"succeeded by":{"wt":"[[MP/M]], [[CP/M-86]]"},"website":{"wt":"{{URL|https://www
https://en.wikipedia.org/wiki/Charles_Fefferman
com/article/2017/01/qa-charles-fefferman-gs-69-2017-wolf-prize-recipient|title=Q and A with Prof
https://en.wikipedia.org/wiki/Symmetric_algebra
If B is a basis of V, the symmetric algebra S(V) can be identified, through a canonical isomorphism, to the polynomial ring K[B], where the elements of B are considered as indeterminates
https://en.wikipedia.org/wiki/Involutive_ring
One can define a sesquilinear form over any *-ring
https://en.wikipedia.org/wiki/Game_engine
(February 2018)
You can help expand this article with text translated from the corresponding article in Portuguese
https://en.wikipedia.org/wiki/Orthogonal_complement
} then its orthogonal complement W ⊥ = { v ∈ V : ⟨ u , v ⟩ = 0 ∀ u ∈ W } {\displaystyle W^{\perp }=\{\mathbf {v} \in V:\langle \mathbf {u} ,\mathbf {v} \rangle =0\ \ \forall \ \mathbf {u} \in W\}} can also be defined as W ⊥ = { v ∈ V : A ~ y = v , y ∈ R 3 } , {\displaystyle W^{\perp }=\{\
https://en.wikipedia.org/wiki/Program_verification
For the Wikipedia policy, see Wikipedia:Verifiability
https://en.wikipedia.org/wiki/Corn_meal
However, it too can have a shelf life of many months if kept in a reasonably cool place
https://en.wikipedia.org/wiki/Embedding
[3] More explicitly, an injective continuous map f : X → Y {\displaystyle f:X\to Y} between topological spaces X {\displaystyle X} and Y {\displaystyle Y} is a topological embedding if f {\displaystyle f} yields a homeomorphism between X {\displaystyle X} and f ( X ) {\displaystyle f(X)} (where f ( X ) {\displaystyle
https://en.wikipedia.org/wiki/Module_(mathematics)
However, modules can be quite a bit more complicated than vector spaces; for instance, not all modules have a basis, and, even for those that do (free modules), the number of elements in a basis need not be the same for all bases (that is to say that they may not have a unique rank) if the underlying ring does not
https://en.wikipedia.org/wiki/Submodule
However, modules can be quite a bit more complicated than vector spaces; for instance, not all modules have a basis, and, even for those that do (free modules), the number of elements in a basis need not be the same for all bases (that is to say that they may not have a unique rank) if the underlying ring does not
https://en.wikipedia.org/wiki/Noncommutative_ring
x n ⟩ / ( x i x j − q i j x j x i ) {\displaystyle \mathbb {C} \langle x_{1},\ldots ,x_{n}\rangle /(x_{i}x_{j}-q_{ij}x_{j}x_{i})} , called a quantum plane, where q i j ∈ C {\displaystyle q_{ij}\in \mathbb {C} }
Any Clifford algebra can be described explicitly using an algebra presentation: given an F {\
https://en.wikipedia.org/wiki/Factor_ring
, the fraction bar) as a separator is sometimes used if the expressions for the ring or the ideal are long or cumbersome