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If, in addition to treating the queens as identical, rotations and reflections of the board were allowed, we would have only 12 distinct solutions "up to symmetry and the naming of the queens
https://en.wikipedia.org/wiki/Wedderburn%E2%80%93Artin_theorem
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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
https://en.wikipedia.org/wiki/Grammatical_gender
com/blog/culture-conscious/201209/masculine-or-feminine-and-why-it-matters |work=Psychology Today |access-date=2 July 2015}}</ref>"}},"i":0}}]}'>[note 1][4] The values present in a given language, of which there are usually two or three, are called the genders of that language
https://en.wikipedia.org/wiki/Euclidean_division
If 9 slices were divided among 3 people instead of 4, then each would receive 3 and no slice would be left over, which means that the remainder would be zero,
https://en.wikipedia.org/wiki/Double_centralizer_theorem
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https://en.wikipedia.org/wiki/Conjugate_diameters
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https://en.wikipedia.org/wiki/Ideal_norm
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https://en.wikipedia.org/wiki/Invariant_basis_number
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From Wikipedia, the free encyclopedia
This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations
https://en.wikipedia.org/wiki/Toll_(fee)
In Europe, the road toll goes back to the practice of the Germanic tribes, who charged fees to travellers if they wanted to cross over mountain passages
https://en.wikipedia.org/wiki/Consistent_estimator
In this way one would obtain a sequence of estimates indexed by n, and consistency is a property of what occurs as the sample size “grows to infinity”
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
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
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
https://en.wikipedia.org/wiki/Signal_recovery
Bias can be desirable if false alarms and misses lead to different costs
https://en.wikipedia.org/wiki/Russell's_paradox
If R were normal, it would be contained in the set of all normal sets (itself), and therefore be abnormal; on the other hand if R were abnormal, it would not be contained in the set of all normal sets (itself), and therefore be normal
https://en.wikipedia.org/wiki/Variable_(mathematics)
The "Aha problems" involve finding unknown quantities (referred to as aha, "stack") if the sum of the quantity and part(s) of it are given (The Rhind Mathematical Papyrus also contains four of these types of problems)
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
https://en.wikipedia.org/wiki/Theorem
Moreover, many authors qualify as theorems only the most important results, and use the terms lemma, proposition and corollary for less important theorems
https://en.wikipedia.org/wiki/Lithium%E2%80%93sulfur_battery
com/industrial/batteries-oem/oem/lithium-ion
https://en.wikipedia.org/wiki/Theory_of_knots
Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R 3 {\displaystyle \mathbb {R} ^{3}} upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting it or passing it through itself
https://en.wikipedia.org/wiki/Formal_power_series_ring
} If we studied this as a power series, its properties would include, for example, that its radius of convergence is 1 by the Cauchy–Hadamard theorem
https://en.wikipedia.org/wiki/Inference_rule
If an argument with true premises follows a rule of inference then the conclusion cannot be false
https://en.wikipedia.org/wiki/Saul_Kripke
|edition=Fall 2016 |language=en}}</ref> [[direct reference theory]], criticism of the [[Frege–Russell view]])<br />[[Admissible ordinal]]<br />[[Kripke structure]]<br />[[Rigid designator|Rigid]] vs
https://en.wikipedia.org/wiki/Tragedy_of_the_commons
He postulated that if a herder put more than his allotted number of cattle on the common, overgrazing could result
https://en.wikipedia.org/wiki/Nicolaus_Copernicus
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https://en.wikipedia.org/wiki/Nakayama's_lemma
Informally, the lemma immediately gives a precise sense in which finitely generated modules over a commutative ring behave like vector spaces over a field
https://en.wikipedia.org/wiki/Boolean_prime_ideal_theorem
A variation of this statement for filters on sets is known as the ultrafilter lemma
https://en.wikipedia.org/wiki/Outline_of_category_theory
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