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Rule of inference - Wikipedia

https://en.wikipedia.org/wiki/Inference_rule
If an argument with true premises follows a rule of inference then the conclusion cannot be false

Interval (mathematics) - Wikipedia

https://en.wikipedia.org/wiki/Interval_(mathematics)
Intervals can be defined more generally on any totally ordered set, such as integers or rational numbers

Scelidosaurus

https://en.wikipedia.org/wiki/Scelidosaurus
The basioccipital has large oblique facets on the lower sides

Outline of finance - Wikipedia

https://en.wikipedia.org/wiki/Outline_of_finance
Jump to content Main menu Main menu move to sidebar hide Navigation Main page Contents Current events Random article About Wikipedia Contact us Contribute Help Learn to edit Community portal Recent changes Upload file Special pages

Up to - Wikipedia

https://en.wikipedia.org/wiki/Up_to
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Wedderburn–Artin theorem - Wikipedia

https://en.wikipedia.org/wiki/Wedderburn%E2%80%93Artin_theorem
} Here we used right modules because R ≅ E n d ( R R ) {\displaystyle R\cong \mathrm {End} (R_{R})} ; if we used left modules R {\displaystyle R} would be isomorphic to the opposite algebra of E n d ( R R ) {\displaystyle \mathrm {End} ({}_{R}R)} , but the proof would still go through

Conjugate diameters - Wikipedia

https://en.wikipedia.org/wiki/Conjugate_diameters
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Collusion - Wikipedia

https://en.wikipedia.org/wiki/Collusion
If the practice of the industry causes more complicated pricing, which is hard for the consumer to understand (such as risk-based pricing, hidden taxes and fees in the wireless industry, negotiable pricing), this can cause competition based on price to be meaningless (because it would be too complicated to explain to

Double centralizer theorem - Wikipedia

https://en.wikipedia.org/wiki/Double_centralizer_theorem
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Ideal norm - Wikipedia

https://en.wikipedia.org/wiki/Ideal_norm
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Invariant basis number - Wikipedia

https://en.wikipedia.org/wiki/Invariant_basis_number
Assuming the ultrafilter lemma (a strictly weaker form of the axiom of choice), this result is actually equivalent to the definition given here, and can be taken as an alternative definition

Bali myna - Wikipedia

https://en.wikipedia.org/wiki/Bali_myna
[1] In 2018, there were three locations on Bali where the birds existed in the wild: the West Bali National Park; Bali's small island of Nusa Penida and Begawan Foundation's breeding and release site at Melinggih Kelod, Payangan

Grammatical gender

https://en.wikipedia.org/wiki/Grammatical_gender
Because of this, languages with gender distinction can often use pronouns where in English a noun would have to be repeated in order to avoid confusion

Nicolaus Copernicus - Wikipedia

https://en.wikipedia.org/wiki/Nicolaus_Copernicus
8 De revolutionibus orbium coelestium 1

Dinosaur - Wikipedia

https://en.wikipedia.org/wiki/Dinosaurs
org/content/379/1/353 |journal=Geological Society, London, Special Publications |language=en |volume=379 |issue=1 |pages=353–392 |doi=10

Euclidean division - Wikipedia

https://en.wikipedia.org/wiki/Euclidean_division
This can be confirmed using multiplication, the inverse of division: if each of the 4 people received 2 slices, then 4 × 2 = 8 slices were given out in total

Outline of category theory - Wikipedia

https://en.wikipedia.org/wiki/Outline_of_category_theory
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List of general topology topics - Wikipedia

https://en.wikipedia.org/wiki/List_of_general_topology_topics
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Krull's theorem - Wikipedia

https://en.wikipedia.org/wiki/Krull's_theorem
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List of topology topics - Wikipedia

https://en.wikipedia.org/wiki/List_of_topology_topics
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Elliott H. Lieb - Wikipedia

https://en.wikipedia.org/wiki/Elliott_H._Lieb
entropy principle]]<br>[[AKLT model|Affleck-Kennedy-Lieb-Tasaki model]]<br>[[Borell–Brascamp–Lieb inequality]]<br>[[Brascamp–Lieb inequality]]<br>[[Brezis–Lieb lemma]]<br>[[Strong subadditivity of quantum entropy#Carlen-Lieb Extension|Carlen–Lieb extension]]<br>[[Temperley–Lieb algebra]]<br>[[Dicke model]

Integral element - Wikipedia

https://en.wikipedia.org/wiki/Integral_extension
over a subring A of B if b is a root of some monic polynomial over A

List of differential geometry topics - Wikipedia

https://en.wikipedia.org/wiki/List_of_differential_geometry_topics
Jump to content Main menu Main menu move to sidebar hide Navigation Main page Contents Current events Random article About Wikipedia Contact us Contribute Help Learn to edit Community portal Recent changes Upload file Special pages

Consistent estimator - Wikipedia

https://en.wikipedia.org/wiki/Consistent_estimator
If the sequence of estimates can be mathematically shown to converge in probability to the true value θ0, it is called a consistent estimator; otherwise the estimator is said to be inconsistent

Division ring - Wikipedia

https://en.wikipedia.org/wiki/Skew-field
In general, if R is a ring and S is a simple module over R, then, by Schur's lemma, the endomorphism ring of S is a division ring;[6] every division ring arises in this fashion from some simple module

Chaos theory

https://en.wikipedia.org/wiki/Chaotic_systems
[29] A consequence of sensitivity to initial conditions is that if we start with a limited amount of information about the system (as is usually the case in practice), then beyond a certain time, the system would no longer be predictable

Module homomorphism - Wikipedia

https://en.wikipedia.org/wiki/Module_homomorphism
Note: the above verification would "fail" if one used the left R-action in place of the right S-action

Commutator - Wikipedia

https://en.wikipedia.org/wiki/Commutator_(ring_theory)
[1] This element is equal to the group's identity if and only if g and h commute (that is, if and only if gh = hg)

Korean verbs

https://en.wikipedia.org/wiki/Korean_verbs
If speaking both to and of one's elders, one would use both the formal and the honorific suffixes

Detection theory - Wikipedia

https://en.wikipedia.org/wiki/Signal_recovery
Bias can be desirable if false alarms and misses lead to different costs