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Did you mean if com site lemmy world site www aleph one site:en.wikipedia.org?
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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/Inference_rule
If an argument with true premises follows a rule of inference then the conclusion cannot be false
https://en.wikipedia.org/wiki/List_of_set_theory_topics
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https://en.wikipedia.org/wiki/Basis_(linear_algebra)
If B is a basis for V, then every vector v {\displaystyle \mathbf {v} } in V can be written as a linear combination of vectors in B (by the spanning property); it follows from linear independence that this can be done in exactly one way
https://en.wikipedia.org/wiki/Bijective
A function is bijective if and only if it is both injective (or one-to-one)—meaning that each element in the codomain is mapped from at most one element of the domain—and surjective (or onto)—meaning that each element of the codomain is mapped from at least one element of the domain
https://en.wikipedia.org/wiki/Variable_(mathematics)
For example, The Elements, proposition 1 of Book II, Euclid includes the proposition:
"If there be two straight lines, and one of them be cut into any number of segments whatever, the rectangle contained by the two straight lines is equal to the rectangles contained by the uncut straight line and each of the segments
https://en.wikipedia.org/wiki/Truth_tables
A truth table has one column for each input variable (for example, A and B), and one final column showing the result of the logical operation that the table represents (for example, A XOR B)
https://en.wikipedia.org/wiki/Mathematical_proof
29, one of the oldest surviving fragments of Euclid's Elements, a textbook used for millennia to teach proof-writing techniques
https://en.wikipedia.org/wiki/Russell's_paradox
If R is not a member of itself, then its definition entails that it is a member of itself; yet, if it is a member of itself, then it is not a member of itself, since it is the set of all sets that are not members of themselves
https://en.wikipedia.org/wiki/Axiomatic_system
The use of an axiomatic approach is a move away from informal reasoning, in which nouns may carry real-world semantic values, and towards formal proof
https://en.wikipedia.org/wiki/Metalanguage
For example, to say that the word "noun" can be used as a noun in a sentence, one could write "noun" is a <noun>
https://en.wikipedia.org/wiki/Mathematical_logic
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https://en.wikipedia.org/wiki/Grammatical_gender
, nominal lexeme, that set of noun forms inflectable from a common lemma) to one grammatical gender is solely determined by that noun's meaning, or attributes, like gender identity, humanness, or animacy
https://en.wikipedia.org/wiki/Elizabeth_David
In 1946 David returned to England, where food rationing imposed during the Second World War remained in force
https://en.wikipedia.org/wiki/Suicide_attack
Yoshinori Yamaguchi's Yokosuka D4Y (left) in a suicide dive against USS Essex on 25 November 1944 and pilot Yukio Araki (right) died in a suicide attack on 27 May 1945, at age 17
A suicide attack (also known by a wide variety of other names, see below) is a deliberate attack in which the perpetrators intentionally
https://en.wikipedia.org/wiki/Double_centralizer_theorem
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https://en.wikipedia.org/wiki/Up_to
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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/Wedderburn%E2%80%93Artin_theorem
If R is a finite-dimensional semisimple k-algebra, then each Di in the above statement is a finite-dimensional division algebra over k
https://en.wikipedia.org/wiki/Invariant_basis_number
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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/Lithium%E2%80%93sulfur_battery
com/industrial/batteries-oem/oem/lithium-ion
https://en.wikipedia.org/wiki/Timeline_of_religion
[17]
9130 BCE – 8000 BCE: This was the apparent period of use of Göbekli Tepe with the earliest dates back to 9500 calBC, one of the oldest human-made sites of worship yet discovered; evidence of similar usage has also been found in another nearby site, Nevalı Çori
https://en.wikipedia.org/wiki/William_Gibson
com/books/2020/jan/11/william-gibson-i-was-losing-a-sense-of-how-weird-the-real-world-was | access-date=2025-05-05}}</ref><ref name=\"i145\">{{cite web | last=Fawcett | first=Max | title=Climate change's future is already here | website=Canada's National Observer | date=2025-01-15 | url=https://www
https://en.wikipedia.org/wiki/Javanese_people
net|language=en}}</ref>"},"region6":{"wt":"{{flag|Netherlands}}"},"pop6":{"wt":"21,700"},"ref6":{"wt":"<ref name=\"CBSaantal\">{{Aut|Ko Oudhof}}, {{Aut|Carel Harmsen}}, {{Aut|Suzanne Loozen}} en {{Aut|Chan Choenni}}, \"''[https://www
https://en.wikipedia.org/wiki/Argentina
{{lang|en|\"Sun of May\"}}"},"national_motto":{"wt":"{{lang|es|[[En unión y libertad]]}}<br />{{lang|en|\"In Union and Freedom\"}}"},"national_anthem":{"wt":"{{lang|es|[[Argentine National Anthem|Himno Nacional Argentino]]}}<br />{{lang|en|\"Argentine National Anthem\"}}{{parabr}}[[File:Himno Nacional Argentino
https://en.wikipedia.org/wiki/Warsaw,_Poland
svg"},"nicknames":{"wt":"''Phoenix City'',<ref>{{cite news |last1=Rayasam |first1=Renuka |title=This once-dark city is becoming the darling of Europe |url=https://www
https://en.wikipedia.org/wiki/Warsaw
svg"},"nicknames":{"wt":"''Phoenix City'',<ref>{{cite news |last1=Rayasam |first1=Renuka |title=This once-dark city is becoming the darling of Europe |url=https://www
https://en.wikipedia.org/wiki/Krull's_theorem
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